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Vibration transmission characteristics of the pyramidal cylinder lattice truss structure Mech. Res. Commun. (IF 2.4) Pub Date : 2024-04-22 Xin Xue, Zeyu Li, Fang Wu, Yuhan Wei, Yichuan Shao, Mangong Zhang, Juan Liao
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Discrete modeling of elastic heterogeneous media Mech. Res. Commun. (IF 2.4) Pub Date : 2024-04-19 Q. Zhang, J. Eliáš, K. Nagai, J.E. Bolander
Discrete models provide advantages in simulating fracture in quasi-brittle materials due, in part, to their simplicity in representing cracking and other forms of displacement discontinuity. However, the stress analyses that form the basis for fracture simulation are complicated by difficulties in modeling the Poisson effect and other aspects of elastic behavior. The capabilities of Voronoi-cell lattice
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A multiscale fracture model using peridynamic enrichment of finite elements within an adaptive partition of unity: Experimental validation Mech. Res. Commun. (IF 2.4) Pub Date : 2024-04-15 Matthias Birner, Patrick Diehl, Robert Lipton, Marc Alexander Schweitzer
Partition of unity methods (PUM) are of domain decomposition type and provide the opportunity for multiscale and multiphysics numerical modeling. Here, we apply Peridynamic (PD) enrichment to propagate cracks in the PUM global–local enrichment scheme. We apply linear elasticity globally and PD over local zones where fractures occur. The elastic fields provide appropriate boundary data for local PD
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Bandgap structure of tensegrity mass–spring chains equipped with internal resonators Mech. Res. Commun. (IF 2.4) Pub Date : 2024-04-13 Luca Placidi, Julia de Castro Motta, Fernando Fraternali
This work studies the dispersion relation of a Maxwell type mass–spring chain formed by lumped masses and the parallel arrangement of two different types of tensegrity prisms. Use is made of the Bloch–Floquet theory of discrete systems in association with a linearized model of the response of the tensegrity units under compression loading. Such a modeling is aimed at studying the propagation of compression
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Analysis of a tensegrity camber morphing airfoil Mech. Res. Commun. (IF 2.4) Pub Date : 2024-04-10 Heping Liu, Jian Song, Ani Luo
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Discontinuity waves in temperature and diffusion models Mech. Res. Commun. (IF 2.4) Pub Date : 2024-04-08 Michele Ciarletta, Brian Straughan, Vincenzo Tibullo
We analyse shock wave behaviour in a hyperbolic diffusion system with a general forcing term which is qualitatively not dissimilar to a logistic growth term. The amplitude behaviour is interesting and depends critically on a parameter in the forcing term. We also develop a fully nonlinear acceleration wave analysis for a hyperbolic theory of diffusion coupled to temperature evolution. We consider a
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Motion behavior of a 30-strut locomotive tensegrity robot Mech. Res. Commun. (IF 2.4) Pub Date : 2024-04-05 Meijia Wang, Yafeng Wang, Ruhe Mei, Zhaojun Liu, Xian Xu
Tensegrity structure is a prestressed self-equilibrated system consisting of compressed struts and tensioned tendons. The shape and position of tensegrity can be actively controlled by changing the lengths of members, making it attractive as a platform for adaptive bionic and locomotive robots. In this paper, the regular 30-strut tensegrity is used as the skeleton of a locomotive robot. The robot is
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Analytical definitions of connectivity, incidence and node matrices for t-struts tensegrity prisms Mech. Res. Commun. (IF 2.4) Pub Date : 2024-03-30 Victor A.S.M. Paiva, Paulo R.G. Kurka, Jaime H. Izuka
Regular tensegrity prism modules are widely used by researchers. Numerous research articles combine them to form grids and towers under various assembly strategies. Most of them define connectivity and node matrices that satisfy their structures as a whole, but a general definition for the basic modules has not been formally reported. This paper formalizes sets of definitions for the connectivity,
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Active elastic metamaterials with equidistant solely resonant bandgaps Mech. Res. Commun. (IF 2.4) Pub Date : 2024-03-19 Hasan B. Al Ba’ba’a
Elastic metamaterials are man-made structures with properties that transcend naturally occurring materials. One predominant feature of elastic metamaterials is locally resonant bandgaps, i.e., frequency ranges at which wave propagation is blocked. Locally resonant bandgaps appear at relatively low frequency and arise from the existence of periodically placed mechanical local resonators. Typically,
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Corrigendum to “Periodic rhomboidal cells for symmetry-preserving homogenization and isotropic metamaterials” [Mech. Res. Commun. 126 (2022) 104001] Mech. Res. Commun. (IF 2.4) Pub Date : 2024-03-19 Giulio G. Giusteri, Raimondo Penta
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Evidence of nonlinearity tailoring in static and dynamic responses of honeycomb and auxetic hourglass lattice metastructures Mech. Res. Commun. (IF 2.4) Pub Date : 2024-03-14 Vivek Gupta, Sondipon Adhikari, Bishakh Bhattacharya
Nature’s morphology and optimal energetic solutions remain the key motivation for designing cellular-based lattice structures. Understanding the nonlinear dynamical behaviors that arise from different lattice topologies of such structures in the metastructure framework is crucial for their successful implementation in various novel designs and technologies related to vibration and shape control. This
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A brief review of solitary waves in nonlinear metamaterials Mech. Res. Commun. (IF 2.4) Pub Date : 2024-03-03 Nan Gao, Tianxue Ma, Yize Wang, Weijian Zhou, Yue-Sheng Wang, Weiqiu Chen
The coupling between material nonlinearity and dispersion/dissipation may lead to the emergence of solitary waves, which are disturbances that can propagate far away with constant velocity and fixed profile. In this paper, we present a brief review of solitary waves, concentrating on their propagation in nonlinear metamaterials with different aspects. In particular, we revisit the propagation characteristics
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An implicit computational approach in strain-gradient brittle fracture analysis Mech. Res. Commun. (IF 2.4) Pub Date : 2024-02-23 Salvatore Sessa, Emilio Barchiesi, Luca Placidi
Within the context of quasi-brittle fracture mechanics analyzed by finite element approaches, the present research addresses an implicit solution scheme applied to a strain-gradient continuum damage model. The implicit scheme is based onto an iterative procedure which minimizes for each loading step the increment of both the elastic energy and the damage field between two subsequent trial solutions
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Preface: Special issue in origami engineering and physics Mech. Res. Commun. (IF 2.4) Pub Date : 2024-02-22 Edwin A. Peraza Hernandez, Glaucio H. Paulino
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Modelling and analysis of a novel E-shape piezoelectric vibration energy harvester with dynamic magnifier Mech. Res. Commun. (IF 2.4) Pub Date : 2024-02-20 Yongyong Cao, Yuqiao Zheng, Xutao Mei, Fugang Dong, Rong Xu, Chenglong Shi, Pengcheng Zhang, Kongyuan Wei, Yabing Li
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Form-finding for tensegrity structures based on the equilibrium equation Mech. Res. Commun. (IF 2.4) Pub Date : 2024-02-18 Ziying Cao, Ani Luo, Yaming Feng, Heping Liu
Finding form is a critical step in designing tensegrity structures. On the condition that the partial node coordinates, topology, and a bar/cable attribute (the force density of bar is -1 and the force density of cable is 1.) are known, a form-finding method, which is used to find the remaining node coordinates and the force density relation between elements, is proposed in this paper. Firstly, the
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Variational study of a Maxwell–Rayleigh-type finite length model for the preliminary design of a tensegrity chain with a tunable band gap Mech. Res. Commun. (IF 2.4) Pub Date : 2024-02-05 Luca Placidi, Fabio Di Girolamo, Roberto Fedele
In this study, a Maxwell–Rayleigh-type model is investigated, describing a unidimensional lattice with a finite length, where the unit cell includes hosting and resonant masses mutually connected by elastic springs. The configuration selected is inspired by the specific engineering design to be discussed: however, the theoretical approach pursued is rather general and can be easily generalized to different
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Analytical solution for the free transverse vibration of an elastically connected annular plate system with discontinuities Mech. Res. Commun. (IF 2.4) Pub Date : 2024-01-30 Junling Fan, Yupeng Wang, Yongbin Ma
Due to the performance requirements, structural discontinuities are inevitable in engineering structures. Free vibration of an elastically connected annular plate system with discontinuities has not yet been reported in the literature. In this study, an analytical method is developed for the free vibration of an annular plate system with discontinuities along its radius. The annular plates are connected
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Rounded corner thicken strut re-entrant auxetic honeycomb: Analytical and numerical modeling Mech. Res. Commun. (IF 2.4) Pub Date : 2024-01-23 Kaustav Moni Bora, Shailendra Kumar Varshney, Cheruvu Siva Kumar
An analytical model is formulated for 2-D periodic negative honeycomb thicken strut re-entrant lattice structures and a modified rounded corner negative honeycomb structure that shows negative Poisson’s ratios (NPR). Analytical modeling is done using Castigliano’s second theorem, where each beam is modeled using Timoshenko beam theory, considering bending, stretching, and transverse shearing. Elastic
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Constitutive modeling of electro-magneto-rheological fluids before yielding Mech. Res. Commun. (IF 2.4) Pub Date : 2024-01-23 Subrat Kumar Behera, Somnath Sarangi
This article presents a comprehensive investigation into electro-magneto-rheological (EMR) fluids that can exhibit reversible behavior changes when exposed to electrical and magnetic fields. The behavior of EMR fluids changes to a solid-like state under the influence of external fields prior to yielding. This research emphasizes the solid-like behavior of these smart materials when subjected to external
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Nonlinear dynamics and chaos of a waterbomb origami unit-cell considering different symmetry conditions Mech. Res. Commun. (IF 2.4) Pub Date : 2024-01-22 Guilherme V. Rodrigues, Marcelo A. Savi
Origami has been inspirating the development of novel engineering systems and structures. The traditional waterbomb folding pattern is one of the most widely employed pattern and its description from the unit-cell is related to multiple degrees of freedom (DoF) systems. This work investigates the nonlinear dynamics and chaos of a waterbomb origami through its unit-cell, considering different symmetry
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Erratum to "Multiscale hydrodynamics in line contacts" [Mechanics Research Communications, Vol. 111 (2021) 103658] Mech. Res. Commun. (IF 2.4) Pub Date : 2024-01-15 Yongbin Zhang
Abstract not available
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Equilibrium of Λ-fractional liquid crystals Mech. Res. Commun. (IF 2.4) Pub Date : 2024-01-04 K.A. Lazopoulos, A.K. Lazopoulos
Stability of the Λ-fractional equilibrium states of nematic liquid crystals is discussed. Applying bifurcation theory in the Λ-fractional space, branching analysis of the liquid crystals is performed and their constant initial direction ceases to exist at a critical value of the external (electromagnetic) field. Post-critical analysis is performed, defining the variable orientation of the crystals
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An anisotropic finite strain elastoplastic model considering different plastic spin effects on the intermediate configuration Mech. Res. Commun. (IF 2.4) Pub Date : 2023-12-26 ChunYu Meng
Large deformation anisotropic elastoplastic models have important application background and research value in engineering and materials fields. In this paper, a macroscopic phenomenological model of elastoplastic anisotropic deformation considering plastic spin is proposed. The model is based on the multiplication decomposition of deformation gradient. The free energy function is expressed as the
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Frequency dependent exact trial functions in Galerkin boundary method for free vibration analysis of thin plate Mech. Res. Commun. (IF 2.4) Pub Date : 2023-12-27 Igor Orynyak, Yulia Bai, Hlib Yudin
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On rotary inertia of microstuctured beams and variations thereof Mech. Res. Commun. (IF 2.4) Pub Date : 2023-12-22 Victor A. Eremeyev, Isaac Elishakoff
We discuss the classic rotary inertia notion and extend it for microstructured beams introducing new microinertia parameters as an additional dynamic response to microstructure changes. Slender structures made of beam- or platelet-lattice metamaterials may exhibit not only large translations and rotations but also general deformations of inner structure. Here we considered a few examples of beam-like
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Rate dependent but time independent plasticity formulation with application to sand Mech. Res. Commun. (IF 2.4) Pub Date : 2023-12-27 Yannis F. Dafalias, Majid T. Manzari
A novel rate dependent but time independent plasticity constitutive framework is proposed by rendering the flow rule and the internal variables evolution equations, appropriate functions of the strain rate, while maintaining a rate independent yield surface. This new framework is applied to a full-fledged rate independent and Critical State Theory compatible constitutive model for sands, transforming
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Buckling and folding of a ductile thin film on a rigid substrate Mech. Res. Commun. (IF 2.4) Pub Date : 2023-12-20 Jérôme Colin
The buckling of a thin film deposited on an infinitely rigid substrate and delaminated over a finite length is studied in the framework of the Föppl-von Kàrmàn theory of thin plates. Assuming the two edges of the ductile film can fold, an energy-based analysis of the different morphologies of the film has been carried out. Depending on the delamination length, the film can either be unfolded, partially
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Kinematic Solutions and Bifurcation Analysis of Single Vertex Origami Pattern Mech. Res. Commun. (IF 2.4) Pub Date : 2023-12-20 Qian Zhang, Jianguo Cai, Xiaowei Deng, Zelun Qian, Jian Feng
The bifurcation behavior of deployable structures has received significant attention from different fields. Apart from pin-jointed structures, origami, as a thriving inspiration for valuable and practical deployable structures, develops singular configurations along its kinematic paths. The kinematic behaviors of single vertex origami patterns are studied in this work. General four-crease patterns
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Chaos identification and parameter optimization for vibration suppression in composite bistable structures Mech. Res. Commun. (IF 2.4) Pub Date : 2023-12-16 Feng Guo, Hui Fang
An innovative composite bistable system (CBs) coupled of prestressed linear and buckled beams with fixed ends has been designed to enhance the damping and suppress the dynamic response. The dynamic equations of the system are derived by applying Hamilton's principle. When the amplitude of the harmonic excitation exceeds the critical value, the buckling beam of the bistable system enters a state of
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3D-printed composites with a programmable response to tension and torsion: A design guide Mech. Res. Commun. (IF 2.4) Pub Date : 2023-12-13 Rita Levit, Noy Cohen
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Analytical and isogeometric solutions of flexoelectric microbeams based on a layerwise beam theory Mech. Res. Commun. (IF 2.4) Pub Date : 2023-12-12 Shuohui Yin, Xuefei Wang, Tinh Quoc Bui, Tiantang Yu, Zhihui Zou
The theory of layerwise beam, which considers both microstructure and flexoelectric effects, is used in the curvature-based flexoelectricity theory. The displacement field function of the layerwise beam model is given. The governing equations and boundary conditions are obtained using a variational formulation based on Hamilton's principle. Analytical solutions for static bending and free vibration
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Topology optimization of extruded beams modeled with the XFEM for maximizing their natural frequencies Mech. Res. Commun. (IF 2.4) Pub Date : 2023-12-10 Ameer Marzok, Haim Waisman
In this paper, an efficient topology optimization approach is developed for maximizing the fundamental natural frequency of extruded beams. Mass fraction and static compliance bounds are defined using inequality-type constraints in the optimization problem. An XFEM approach, previously proposed by the authors for analyzing beam elements, is extended herein to compute the natural frequencies of the
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A refined fractional viscoelastic model for vibration analysis of moderately-thick plates Mech. Res. Commun. (IF 2.4) Pub Date : 2023-12-09 Mahsa Vazirzadeh, Jafar Rouzegar, Mohammad Hossein Heydari
In this study, a Kelvin–Voigt fractional viscoelastic model is developed based on the two-variable refined plate theory (TV-RPT) to investigate the dynamic behavior of rectangular viscoelastic plates under support movement. The TV-RPT is a novel, simple, and efficient plate theory that provides accurate results for both thin and thick plates. The steady-state condition is governed by assuming the lower
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Fabric controls on fracture surface roughness of an architected rock material Mech. Res. Commun. (IF 2.4) Pub Date : 2023-11-30 Chaoyi Wang, Liyang Jiang, Antonio Bobet, Hongkyu Yoon, Laura J. Pyrak-Nolte
Fluid flow through fractures is intimately linked to the fracture surfaces that define the void geometry through which fluids flow. Thus, an understanding of what controls fracture surface roughness is essential to the development of models for predicting fluid transport through fractured rock. The difficulty in predicting surface roughness arises from the complexity of rock which is inherently heterogeneous
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Design of tensegrity torus based on bilevel optimization model Mech. Res. Commun. (IF 2.4) Pub Date : 2023-11-21 Jinyu Lu, Zhiyin Xu, Junwei Pan
This paper presents a design method for novel tensegrity torus based on a bilevel optimization model. The novel tensegrity torus is assembled by a plurality of deformed three-rod prismatic tensegrity units, which can be uniquely determined by 5 geometric parameters. Taking the five parameters as optimization variable, the uniformity of both geometry and prestress as optimization objective, a bilevel
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Discrete dynamical model for the hydrodynamic analog of a quantum mirage Mech. Res. Commun. (IF 2.4) Pub Date : 2023-11-22 Gonzalo F. Quinto, Aminur Rahman
Recently discrete dynamical models of walking droplet dynamics have allowed for fast numerical simulations of their horizontal chaotic motion and consequently the long-time statistical distribution of the droplet position. We develop a discrete model for walkers on an elliptical corral with two dominant eigenmodes. These eigenmodes are excited periodically with each having random, but correlated, weights
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Influence functions for accurate representation of bond deformation in discrete modeling Mech. Res. Commun. (IF 2.4) Pub Date : 2023-11-23 Hailong Chen, Xuan Hu
Continuum-like nonlocal deformation gradients have been constructed based on discrete simulation results. In this paper, the accuracy of the nonlocal deformation gradient based on different influence functions is examined for both representing material point deformation and mapping bonds. A new class of parameterized influence functions that accounts for both bond relative length and angle (with respect
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Establishment of iterative modeling method for spherical tensegrity structure using rotational symmetry and regular polyhedron configuration Mech. Res. Commun. (IF 2.4) Pub Date : 2023-11-17 Erina Mori, Yuta Matsumoto, Nariyuki Kawabata, Keisuke Otsuka, Kanjuro Makihara
Tensegrity structures are attractive light-weight structures. In particular, spherical tensegrity structures are expected to be applied in various fields. This article proposes a simple method for modeling spherical tensegrities. Firstly, the nodal coordinates of the spherical tensegrity are systematically determined based on rotational symmetry and regular polyhedral configuration. This approach enables
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Vibration analysis of tri-directionally coated plate via thickness-stretching and microstructure-dependent modeling Mech. Res. Commun. (IF 2.4) Pub Date : 2023-11-17 Ahmed Amine Daikh, Mohamed-Ouejdi Belarbi, Pham Van Vinh, Li Li, Mohamed Sid Ahmed Houari, Mohamed A. Eltaher
In this study, the tri-directionally-coated functionally graded plate has different levels of microstructure and is modeled more accurately using nonclassical mechanics incorporating the intrinsic characteristic lengths as well as using a spatial variation of material properties. The free vibration behavior of the tri-directionally-coated functionally graded plate is investigated using a refined quasi-3D
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A mechanical derivation of the evolution equation for scintillating crystals: Recombination–diffusion–drift equations, gradient flows and Wasserstein measures Mech. Res. Commun. (IF 2.4) Pub Date : 2023-11-11 Fabrizio Daví
In a series of previous papers we obtained, by the means of the mechanics of continua with microstructure, the Reaction–Diffusion–Drift equation which describes the evolution of charge carriers in scintillators. Here we deal, first of all, with the consequences of constitutive assumptions for the entropic and dissipative terms. In the case of Boltzmann–Gibbs entropy, we show that the equation admits
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Multiwalled carbon nanotubes as hard templates to yield advanced geopolymer-based self-assembled nanostructured ceramics Mech. Res. Commun. (IF 2.4) Pub Date : 2023-11-10 Yunzhi Xu, Haklae Lee, Nathanial Buettner, Ange-Therese Akono
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On the partial wrinkling of imperfectly guided webs Mech. Res. Commun. (IF 2.4) Pub Date : 2023-11-04 Ciprian D. Coman
Flexible webs such as those used in roll-to-roll process machines are prone to various detrimental forms of elastic instabilities. This study revisits recent numerical work pertaining to the divergence buckling of non-uniformly tensioned axially moving thin webs. We show that the eigen-deformations experienced by these configurations are characterised by localised short-wavelength spatial patterns
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Multi-bounce resonances in the interaction of walking droplets Mech. Res. Commun. (IF 2.4) Pub Date : 2023-11-02 George Zhang, Ivan C. Christov, Aminur Rahman
Discrete dynamical models of walking droplets (“walkers”) have allowed swift numerical experiments revealing heretofore unobserved quantum statistics and related behaviors in a classical hydrodynamic system. We present evidence that one such model of walking droplets exhibits the empirically elusive n-bounce resonances that are traditionally seen in the scattering of solitary waves governed by covariant
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Kinematic Behaviour of Origami Combining Two Four-crease Vertices Mech. Res. Commun. (IF 2.4) Pub Date : 2023-10-31 David Xing, Zhong You
The simplest rigidly foldable single-vertex origami structure is a four-crease origami (single 4C). It is a 1 DOF spherical linkage which possesses geometric properties that allow its copies to be combined into more complex rigidly foldable origami such as the Miura-ori. Merging two identical flat-foldable single 4Cs together produces a new construction, called the double 4C. We discover that this
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Thermo-mechanical experimental investigations of 3D-printed elastomeric polyurethane from low to intermediate strain rates Mech. Res. Commun. (IF 2.4) Pub Date : 2023-10-30 Jie Yang, Zisheng Liao, Mokarram Hossain, Guanyu Huang, Kai Wang, Xiaohu Yao
Additively manufactured (3D-printed) elastomers have increasing applications in impact resistance devices such as helmets, shoe soles, and shock absorbing architectured metamaterials. These rapidly expanding areas require a proper understanding of the thermo-mechanical behaviours of soft polymers. In this contribution, thermal–mechanical properties of 3D-printed elastomeric polyurethane (EPU) are extensively
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Kresling tube metamaterial exhibits extreme large-displacement buckling behavior Mech. Res. Commun. (IF 2.4) Pub Date : 2023-10-21 Emilio Turco, Emilio Barchiesi, Andrea Causin, Francesco dell’Isola, Margherita Solci
The present contribution proves that Kresling-patterned tubular origami metamaterials can exhibit a nonlinear buckling behavior in compression characterized by extremely significant and sudden twisting, as well as by extreme transverse dilation/contraction. It is proved that such an extreme buckling behavior can be achieved by tuning the ratio between stiffness parameters controlling the relative compliance
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A geometric-based method for the mesh stiffness evaluation of spur gears with spatial cracks Mech. Res. Commun. (IF 2.4) Pub Date : 2023-10-14 Bilal El Yousfi, Abdenour Soualhi, Kamal Medjaher
Bending fatigue is one of the most common failure modes of gear-based transmissions. Bending fatigue often manifests in the form of cracks at the gear tooth root, which propagates over the time, until a part of the tooth or the whole tooth is removed. Many papers have been published to determine the effect of this failure mode on the gear system dynamics, specifically, the gear mesh stiffness. But
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Influence of manufacturing factors on compressive behavior of soft architected composite with a 3D-printed cellular core Mech. Res. Commun. (IF 2.4) Pub Date : 2023-10-12 Zhixiong Li, Pan Liu, Baixi Chen, Tongtong Ye, Yuan-Fang Zhang, Nan Hu
Soft material is widely used for energy dissipation in a diverse range of applications from shoe soles to bridge bearings. Recent advances in additive manufacturing enable more new classes of materials such as soft architected composites (SAC) with 3D-printed cores that are embedded into a soft matrix. SAC has demonstrated excellent load-carrying capacity, ductility, and energy absorption under compression
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Surface effects and symmetry lowering effect on the anisotropic bending and equilibrium of freestanding nanofilms Mech. Res. Commun. (IF 2.4) Pub Date : 2023-10-11 Jiangang Li, Yuning Du, Huihui Xu, Zhixiang Gao, Hua Wang
A self-consistent theory for describing self bending, self equilibrium and symmetry lowering of nanofilms was proposed in this paper. The lowered symmetry and corresponding additional elastic parameter were considered to describe the mechanical properties of nanofilms. A freestanding nanofilm may spontaneously roll into a nanotube due to intrinsic surface stress imbalance. It is not necessarily isotropic
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Bandgap widening and resonator mass reduction through wave locking Mech. Res. Commun. (IF 2.4) Pub Date : 2023-10-12 L. Iorio, J.M. De Ponti, A. Corigliano, R. Ardito
Elastic metamaterials made of locally resonant arrays have been developed as effective ways to create band gaps for elastic or acoustic travelling waves. They work by implementing stationary states in the structure that localise and partially reflect waves. A different, simpler, way of obtaining band gaps is using phononic crystals, where the generated band gaps come from the periodic reflection and
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A novel variational perturbation approach for formulating both linear and nonlinear acoustic model equations Mech. Res. Commun. (IF 2.4) Pub Date : 2023-09-26 Markus Scholle, Sara Ismail–Sutton, Philip H. Gaskell
A novel approach, based on variational principles, for obtaining linear acoustic model equations directly from an arbitrary Lagrangian is presented, followed by extension to the case of weakly nonlinear acoustics. The efficacy and ease of application of the methodology adopted is demonstrated for two different Lagrangians: one describing classical potential flow, the other relativistic flow including
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Generalized continuum methodologies in acoustics: Selected case studies Mech. Res. Commun. (IF 2.4) Pub Date : 2023-09-25 P.M. Jordan
Three problems from acoustics theory are considered using both analytical and numerical methods. Each problem involves the use of a particular generalized continuum (GC) formulation. In the first, mechanical and thermal plane waves in gases wherein the specific internal energy is described by the modified internal energy model are analyzed; in the second, vertically-propagating acceleration waves in
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Discovering asymptotic expansions for problems in mechanics using symbolic regression Mech. Res. Commun. (IF 2.4) Pub Date : 2023-09-24 Rasul Abdusalamov, Julius Kaplunov, Mikhail Itskov
Recently, symbolic regression (SR) has demonstrated its efficiency for discovering basic governing relations in physical systems. A major impact can be potentially achieved by coupling symbolic regression with asymptotic methodology. The main advantage of asymptotic approach involves the robust approximation to the sought for solution bringing a clear idea of the effect of problem parameters. However
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On the view of considering regularization parameter as material constant Mech. Res. Commun. (IF 2.4) Pub Date : 2023-09-18 Pomhyang Chu, Kumchol Yun, Kumsong Chu
In the fracture analysis of materials or structures including cracks, defects and voids, the phase field method is one of the most efficient and popular methods. The phase field methods provide a stable and robust solution by regularizing the singularity of a mechanical system with discontinuities, and a regularization parameter is used for that. There is a powerful argument in the field of computational
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Evaluating uncertainties in CFD simulations of patient-specific aorta models using Grid Convergence Index method Mech. Res. Commun. (IF 2.4) Pub Date : 2023-08-25 O. Aycan, A. Topuz, L. Kadem
Cardiovascular diseases are among the most important causes of global mortality. Computational Fluid Dynamics (CFD) is a powerful research tool that analyzes the hemodynamics of artery and blood flow patterns. In this study, CFD simulations are performed to assess the patient-specific healthy aorta, fusiform, and saccular aneurysm with various mesh types, including tetrahedral, polyhedral, and poly-hexacore
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Self-consistent approximations for the tangential-displacement correction to the incremental indentation stiffness Mech. Res. Commun. (IF 2.4) Pub Date : 2023-08-16 Ivan Argatov, Xiaoqing Jin
An axisymmetric problem of unilateral frictionless contact between a paraboloidal or conical indenter and a transversely isotropic elastic half-space is considered in the refined formulation by accounting for the tangential (radial) displacements of the surface points of the elastic body. Using the idea of self-consistent approximation, a system of two coupled relations for the main contact variables
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Marangoni flow induced in a waterbody by the impact of a raindrop Mech. Res. Commun. (IF 2.4) Pub Date : 2023-08-19 Shivam Verma, Islam Benouaguef, Naga Musunuri, Ian Fischer, Pushpendra Singh
In this study, the Particle Image Velocimetry (PIV) technique is employed to investigate the transient flow that arises when a freshwater drop impinges onto the surface of a water body. Our measurements show that in addition to the impact of the drop itself, surfactant and salt concentration play a crucial role in determining the resulting flow on and near the surface. The latter contributions arise