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Bioinspired honeycomb sandwich structures for enhanced hail impact resistance Mech. Adv. Mater. Struct. (IF 2.8) Pub Date : 2024-04-19 Alparslan Solak
The study explores the mechanical behavior of bioinspired honeycomb sandwich structures against hail impact using Ls-Dyna. The hail model, based on experimental values, is created with smoothed par...
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Reverberation ray matrix analysis for wave propagation in beam structures with rigid components Mech. Adv. Mater. Struct. (IF 2.8) Pub Date : 2024-04-18 Han Liao, Weiqiu Chen, Jiqing Jiang
The method of reverberation-ray matrix (MRRM) is modified for the dynamic response analysis of beam structures with rigid components. The wave expressions for the beam structures are derived based ...
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Examining the critical speed and electro-mechanical vibration response of a spinning smart single-walled nanotube via nonlocal strain gradient theory Mech. Adv. Mater. Struct. (IF 2.8) Pub Date : 2024-04-18 Merwan Behar, Abdelkrim Boukhalfa, Ahmed Lamine Aouinat
In this study, the stability and vibration analyses of a spinning smart nanotube under electrical loads are examined for the first time. The smart nanotube structure is made from a single-walled zi...
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Modeling and analysis of Double-Double composite structures integrating piezoelectric materials Mech. Adv. Mater. Struct. (IF 2.8) Pub Date : 2024-04-18 B. D. Lupu, M. A. R. Loja
Multifunctional materials and structures are increasingly important for innovative structural solutions. This work aims to model such structures constituted by Double-Double composites and piezoele...
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Experimental and computational study of the NiTi thin wires mechanical behavior Mech. Adv. Mater. Struct. (IF 2.8) Pub Date : 2024-04-18 Ekaterina S. Marchenko, Alexander A. Kozulin, Anna V. Vetrova, Marina A. Kovaleva, Alex A. Volinsky, Kirill M. Dubovikov
NiTi wires used for biological implants demonstrated ductile fracture. NiTi 40, 60, and 90 µm thick wires were tested in uniaxial tension to fracture and loading-unloading. Uniaxial stress-strain c...
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Underwater dynamic modeling and experiments of flexible structure with harmonic actuation of macro fiber composites Mech. Adv. Mater. Struct. (IF 2.8) Pub Date : 2024-04-16 Aiguo Jin, Junqiang Lou, Tehuan Chen, Yanding Wei, Chao Xu, Li Liu
Flexible structures driven by smart actuators are promising alternatives for aquatic bionic propulsion vehicles. However, the hydrodynamic effects induced by viscous fluids on the dynamic response ...
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Surface Green’s functions of a horizontally graded elastic half-plane Mech. Adv. Mater. Struct. (IF 2.8) Pub Date : 2024-04-14 Lizichen Chen, Weiqiu Chen
High-throughput mechanical testing based on functionally graded specimens is very promising for accelerating the development of new materials. However, due to the inhomogeneity-induced complexity, ...
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Shear characterization in soft polyurethane foams: A critical comparison among experimental approaches Mech. Adv. Mater. Struct. (IF 2.8) Pub Date : 2024-04-14 V. Moramarco, G. Pappalettera, M. Patronelli, C. Casavola, L. Del Core
The study addresses the lack of standardization for the evaluation of the shear properties of hyperelastic soft foams. The results of three different standards used for sandwich structures or rigid...
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Equivalent plate model of shape memory polymer composite based variable height corrugated structure Mech. Adv. Mater. Struct. (IF 2.8) Pub Date : 2024-04-14 A. K. Saurav, L. Bhola, P. M. Mujumdar, P. J. Guruprasad
In this work, an equivalent plate model for a shape memory polymer composite based corrugation structure with varying height, for morphing application, is developed. A thermodynamically consistent ...
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Parametric design and performance evaluation of gyroid triply periodic minimal surface preparation by LCD photopolymerization Mech. Adv. Mater. Struct. (IF 2.8) Pub Date : 2024-04-12 Zhaoqi Chen, Ping Han, Junjie Liu, Guoju Bai, Na Xiao, Zijing Xia
In this paper, the Gyroid triply periodic minimal surface is prepared by liquid crystal display photopolymerization technology, and 10 models of the periodic parameter T in [1/5, 2] are designed. U...
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Edgewise compression mechanisms in sandwich panels with foam-core and jute/glass hybrid composite faces Mech. Adv. Mater. Struct. (IF 2.8) Pub Date : 2024-04-12 Thaís da Costa Dias, Eduardo Antonio Wink de Menezes, Maikson Luiz Passaia Tonatto, Sandro Campos Amico
Natural fibers may represent an economical and sustainable alternative to produce sandwich panels. This study investigates the influence of the slenderness ratio on the buckling load of sandwich pa...
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Axisymmetric torsion of rigid disc parallel to penny shaped crack at the interface of layer bonded by two orthotropic half spaces Mech. Adv. Mater. Struct. (IF 2.8) Pub Date : 2024-04-11 Samim Alam, Sourav Kumar Panja, Subhas Chandra Mandal
Two half-spaces and a layer of finite height of linear elastic orthotropic medium containing a penny-shaped crack and a circular rigid disk are considered such that the crack surface is parallel to...
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Isogeometric analysis of hyperelastic Timoshenko beams under large deformation and incompressibility constraints Mech. Adv. Mater. Struct. (IF 2.8) Pub Date : 2024-04-09 Abdelfettah Sahnoun, Ferhat Bekhoucha, Houari Ameur
This article investigates the nonlinear analysis of hyperelastic planar curved beams based on the total Lagrangian Timoshenko theory. The fully incompressible neo-Hookean model has been selected as...
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A model for laminated composite beams based on a novel zig-zag theory Mech. Adv. Mater. Struct. (IF 2.8) Pub Date : 2024-04-09 Ying Zhang, Junling Si
We develop a new model called C-311 for laminated composite beams based on a new zig-zag theory that is firstly proposed in this paper. The in-plane displacement field of the model includes two par...
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Wind-structure interaction mechanism of circular storage shells- a critical review Mech. Adv. Mater. Struct. (IF 2.8) Pub Date : 2024-04-09 Soumya Mukherjee, Dilip Kumar Singha Roy
A critical review on the valuable researches about the aerodynamic load and consequent structural behavior of cylindrical storage shells, has been carried out. The wind-shell interaction mechanism ...
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Rate-dependent augmented finite element method for fast arbitrary crack growth Mech. Adv. Mater. Struct. (IF 2.8) Pub Date : 2024-04-09 Qinbo Zhang, Zihan Xu, Weiming Tao
Experimental observations indicate that fast crack growth often exhibits a rate dependency, which is caused by the viscosity of the material and the dissipation of energy resulting from the branchi...
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Dynamic stability analysis of CFRP sandwich structure reinforced by advanced nanocomposites via both machine learning method and mathematical simulation Mech. Adv. Mater. Struct. (IF 2.8) Pub Date : 2024-04-07 Yong Zhang, Jing Li, Mohamed Abbas
This work introduces a quasi-3D refined theory for assessing the transient dynamic reactions of a sandwich annular sector plate subjected to mechanical shock loading. The sandwich structure has two...
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Structural design and analysis of impact energy absorption characteristics for pre-folded external double-layer biomimetic multi-cell thin-walled tubes Mech. Adv. Mater. Struct. (IF 2.8) Pub Date : 2024-04-04 Yong Xiao, Hai Long, YuJie Wang, HongLin Hu, Yu Liu, Qianwen Wu
Multi-cellular tubes have gained wide application in vehicle engineering due to their exceptional energy absorption capabilities. Pre-folded thin-walled tubes offer advantages such as low initial p...
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Steady state periodic response of truncated conical shell undergoing large amplitude vibration Mech. Adv. Mater. Struct. (IF 2.8) Pub Date : 2024-04-03 Mohd Taha Parvez, Arshad Hussain Khan
The large amplitude steady state periodic response of truncated conical shell panels under the influence of transverse harmonic excitation is analyzed by considering the nonlinear strain displaceme...
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Research and simulation on the thermal mechanical properties of functionally graded shape memory alloy composite beam considering tension-compression asymmetry Mech. Adv. Mater. Struct. (IF 2.8) Pub Date : 2024-04-03 Lijun Xue, Xinlei Zhang, Zhifu Han, Jingjing Feng
Considering the tension-compression asymmetry of Shape Memory Alloy (SMA), the tension and compression constitutive equations of the Functionally Graded Shape Memory Alloy (FG-SMA) beam are establi...
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Mechanical and thermal characterization of additively manufactured novel multilayer polymer composite through experiments and finite element simulation Mech. Adv. Mater. Struct. (IF 2.8) Pub Date : 2024-04-03 T. Arunkumar, Hrishikesh Dutta, Harisha Puttaiah
This study presents the investigation of mechanical and thermal properties of additively manufactured novel multilayer composites (MLC). Wood and carbon-reinforced poly-lactic acid were used as the...
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Effects of physical parameters on shear wave in a porous piezoelectric model with imperfect interface Mech. Adv. Mater. Struct. (IF 2.8) Pub Date : 2024-04-01 Mohd Sadab, Santimoy Kundu
This study investigates the impact of interfacial imperfection on shear horizontal wave propagation in a microstructural coupled stress half-space beneath a porous piezoelectric layer adjacent to a...
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Understanding and mitigating delamination in composite materials: A comprehensive review Mech. Adv. Mater. Struct. (IF 2.8) Pub Date : 2024-04-01 Lucas Eiji de Castro Saiki, Guilherme Ferreira Gomes
Delamination significantly undermines the integrity and performance of composite materials, impacting their application in engineering structures. This comprehensive review synthesizes current rese...
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Estimation of heat transfer and thermal conductivity of particle-reinforced hollow cylinder composites Mech. Adv. Mater. Struct. (IF 2.8) Pub Date : 2024-04-01 Guanyi Zhang, Liangliang Zhang, Gang Lei, Yang Gao
With the expansion of seabed gas hydrate exploitation, particle-reinforced cement is widely used in well cementing. However, the estimation of heat transfer and thermal conductivity for hollow cyli...
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Modeling and analysis of a macro-fiber piezoelectric bimorph energy harvester operating in d33-Mode using Timoshenko theory Mech. Adv. Mater. Struct. (IF 2.8) Pub Date : 2024-04-01 Mohamed Taha Mhiri, Mnaouar Chouchane, Mohamed Guerich, Walid Larbi
Piezoelectric bimorph cantilevered beams are frequently employed in energy harvesting applications. The use of macro-fiber composites, which combine piezoelectric fibers with rectangular cross-sect...
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Damage analysis of Functionally Graded Materials under strong cyclic loading Mech. Adv. Mater. Struct. (IF 2.8) Pub Date : 2024-04-01 Billel Hamza, Mohamed Mokhtari, Amir Slamene, Rafik Medjahed, Habib Benzaama, Habiba Dadoun
Monotonic or cyclic uni-axial loading tests on specimens with or without notch are designed to characterize the materials, and to develop in their results a formulation of the material either analy...
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Experimental and numerical investigation of heterogeneous strain fields in intralayer hybrid composites with aramid-carbon reinforcement Mech. Adv. Mater. Struct. (IF 2.8) Pub Date : 2024-04-01 Witold Ogierman, Grzegorz Kokot, Natalia Molęda, Paweł Paździor
This research aims to analyze the elastic behavior of intralayer hybrid composites that consist of an epoxy matrix and aramid-carbon reinforcement. The contrast in stiffness between the aramid and ...
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Three-dimensional damage and rupture patterns of different thicknesses of rock mass with open joints under blast loading Mech. Adv. Mater. Struct. (IF 2.8) Pub Date : 2024-04-01 Yanbing Wang, Lin Luo, Yingkang Yao, Zhaoyang Wang, Weiwen Kong
There are an immense number of discontinuous structural surfaces represented by tensile joints in natural rock mass, in which the thickness of tensile joints determines the form how stress wave int...
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Evaluation of the mechanical characteristics of Ti64 cubic and body-centered-cubic porous structures: A finite element study validated with physical tests Mech. Adv. Mater. Struct. (IF 2.8) Pub Date : 2024-04-01 Abhik Chaudhuri, Prashanta Kr Mahato, Bidyut Pal
Porous implants reduce stress-shielding within implanted bones. Body-centered-cubic (BCC) and cubic cellular structures were investigated in this study to mimic bone properties. For this purpose, C...
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Energy absorption characteristics of asymmetric tree-like fractal gradient hierarchical structures Mech. Adv. Mater. Struct. (IF 2.8) Pub Date : 2024-04-01 Quanping Fu, Xiaolin Deng, Fumo Yang, Zhenzhen Cai
Bionic gradient hierarchy design as a design method that can effectively improve the structural crashworthiness, but its current research only focuses on the symmetric fractal method related to the...
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High-order effects on the vibration of membrane structures Mech. Adv. Mater. Struct. (IF 2.8) Pub Date : 2024-04-02 A. Pagani, M. Valente, R. Azzara, E. Carrera
This study analyzed pretension membranes, focusing on high-order effects. Using a combination of the Carrera Unified Formulation (CUF) and the finite element method, the research employs the unique...
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Tensile performance of 3D-printed helical springs Mech. Adv. Mater. Struct. (IF 2.8) Pub Date : 2024-03-31 Jiang-Bo Bai, Shao-Lin Li, Nicholas Fantuzzi, Tian-Wei Liu
This study investigates the tensile performance of 3D-printed helical springs through experiments, numerical simulations, and analytical methods, optimized with an optimization algorithm. Rapid fab...
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Nonlocal free vibration of magneto-electro-elastic nanoplates with imperfect contacts Mech. Adv. Mater. Struct. (IF 2.8) Pub Date : 2024-03-27 Hsin-Yi Kuo, Po-Chun Huang
We study the wave propagation phenomenon in magneto-electro-elastic (MEE) nanoplates with extended linear spring-type imperfect contacts in the framework of nonlocal theory. The extended pseudo-Str...
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Mechanical and quasi-static puncture behavior of hybrid glass/Kevlar/carbon fiber laminate composites with graphene nanoparticles Mech. Adv. Mater. Struct. (IF 2.8) Pub Date : 2024-03-27 Megavannan Mani, Thiyagu Murugaiyan, Vigneshwaran Shanmugam, Muhammet Karabulut
The growing adoption of hybrid polymer composite laminates in engineering applications requires enhanced mechanical performance without increasing the composite weight. This research aims to develo...
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Numerical and data-driven uncertainty quantification of process parameters on clinching joint geometries Mech. Adv. Mater. Struct. (IF 2.8) Pub Date : 2024-03-27 Hoai Thanh Nguyen, Duc Vinh Nguyen, Minh Chien Nguyen, Vuong Sy Bui, Quang Ho Nguyen, Yang-jiu Wu, Pai-Chen Lin, Xuan Van Tran
Clinching is a prevalent mechanical joining method involving clamping and locking two sheet work pieces using a punch and die. Numerical simulation offers a cost-effective alternative to time-consu...
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Implosion mechanisms of underwater ring-stiffened metallic cylindrical shells Mech. Adv. Mater. Struct. (IF 2.8) Pub Date : 2024-03-25 Shuangtao Dou, Zhixin Huang, Ying Li
Underwater cylindrical shells are prone to implosion due to the surrounding high hydrostatic pressure, and introducing ring-rib is a promising approach to reduce the risk. However, the influences o...
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Multifield and higher-order analysis of sandwich smart curved beams made of graphene origami auxetic metamaterial Mech. Adv. Mater. Struct. (IF 2.8) Pub Date : 2024-03-26 Yanbo Dong, Nan Huang
This article is organized to investigate effect of material and geometric characteristics of graphene origami as well as multifield loading on the electro-magneto-elastic bending results of the san...
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Research on impact resistance of ZK61m magnesium alloy thin plate under different working conditions Mech. Adv. Mater. Struct. (IF 2.8) Pub Date : 2024-03-25 Yunfei Deng, Hao Li, Yixu Lv, Xuan Wang
To study different working conditions on the impact resistance of ZK61m magnesium alloy thin plate, includes radius of curvature of the projectile (Caliber-radius-head, CRH) and number of layers in...
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A numerical study on bending behavior of sandwich beam with novel auxetic honeycomb core Mech. Adv. Mater. Struct. (IF 2.8) Pub Date : 2024-03-25 Qiang He, Junlan Guo, Tao Tao, Jiamei Zhu, Guo Yun
To further improve the load-bearing capability and anti-impact properties of the auxetic structure, a novel enhanced auxetic honeycomb core (NEH) was introduced, and the bending resistance and cras...
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Optimal design of truss domes with frequency constraints using seven metaheuristic algorithms incorporating a comprehensive statistical assessment Mech. Adv. Mater. Struct. (IF 2.8) Pub Date : 2024-03-24 Mohammadtaher Abbasi, Pooya Zakian
In this article, seven recently developed metaheuristic algorithms are utilized for optimal design of dome-shaped trusses with natural frequency constraints. These algorithms are social network sea...
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Parametric modeling and deep learning-based forward and inverse design for acoustic metamaterial plates Mech. Adv. Mater. Struct. (IF 2.8) Pub Date : 2024-03-23 Hui Guo, Weiqian Chen, Yansong Wang, Fuyin Ma, Pei Sun, Tao Yuan, Xiaolong Xie
Acoustic metamaterials (AMMs), with extraordinary physical properties, could be used to suppress the specific frequencies elastic waves by altering the structure artificially. However, as the compl...
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Dynamic anti-planar characteristics of circular holes in laminated structures under the action of line source Mech. Adv. Mater. Struct. (IF 2.8) Pub Date : 2024-03-23 Qin Liu, Jie Yang, Enxiang Qu
Based on the complex variable function method and the wave function expansion method, the dynamic anti-plane characteristics of the circular hole in the laminated structure under line source excita...
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Aeroelasticity analysis of anisogrid lattice sandwich cylindrical shells: Extended potential and piston theories Mech. Adv. Mater. Struct. (IF 2.8) Pub Date : 2024-03-19 Ehsan Taati
Based on the extended potential and piston aerodynamics theories, buckling and vibration analysis of sandwich cylindrical shells subjected to external airflow in both subsonic and supersonic regime...
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Micro-vibration control of spaceborne payload with smart parallel struts Mech. Adv. Mater. Struct. (IF 2.8) Pub Date : 2024-03-19 Jie Tang, Yang Yang, Conghao Dou, Yinghui Li, Dengqing Cao
Currently, the observation resolution of Earth observation satellites and space telescopes is progressively increasing. However, vibrations induced by solar panel vibrations, control torque gyrosco...
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Study of the inhibition mechanism of sapphire subsurface damage by tangential ultrasonic vibration Mech. Adv. Mater. Struct. (IF 2.8) Pub Date : 2024-03-21 Fei Zhou, Jinkai Xu, Wentong Zhang, Huadong Yu
Ultrasonic vibration has a certain effect on the crack propagation tendency during sapphire grinding, but the mechanism of the effect on the crack propagation tendency has not yet been elucidated. ...
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Passive acoustic liners for aero-engine noise control: A review Mech. Adv. Mater. Struct. (IF 2.8) Pub Date : 2024-03-21 Pengwei Ma, Han Wang, Danwang Li, Shanhu Yuan, Xueling Fan
Aero-engine noise reduction has always been a critical challenge in the field of science and engineering. Passive acoustic liners are considered one of the most effective structures for reducing ae...
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Rigid-plastic behavior and bearing capacity of thin flat reinforced rotating disks Mech. Adv. Mater. Struct. (IF 2.8) Pub Date : 2024-03-21 T.P Romanova
In the framework of the model of the rigid-plastic body, the limiting behavior of thin hybrid reinforced flat disks rotating in a steady-state regime is considered. The disks are fixed on the inner...
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Design and mechanical performances of stress adaptive porous structures based on triply period minimal surface Mech. Adv. Mater. Struct. (IF 2.8) Pub Date : 2024-03-20 Xiangyu Ma, David Z. Zhang, Xuewei Yu, Hailun Zhou
In this study, a design method is proposed for the stress adaptive porous structures with triply period minimal surface (TPMS). The method depends upon the modeling method of solving porous structu...
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Vibration analysis of a rotor-bearing system using magneto-rheological elastomers Mech. Adv. Mater. Struct. (IF 2.8) Pub Date : 2024-03-19 Faiza Sakly, Mnaouar Chouchane
Magneto rheological materials are considered as a promising adaptive means of vibration control. This paper proposes a new configuration of smart bearings comprising magneto-rheological elastomer (...
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Metamaterial sandwich plates with two-degree of freedom inertial amplified resonators for broadband low-frequency vibration attenuation Mech. Adv. Mater. Struct. (IF 2.8) Pub Date : 2024-03-18 Lei Gao, Cheuk Ming Mak, Chenzhi Cai, Supeng Deng
Sandwich plates are extensively utilized across various fields, encompassing building engineering, mechanical engineering, and aerospace engineering, owing to their exceptional stiffness-to-weight ...
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Buckling analysis of nonuniformly compressed rectangular FG-CNT reinforced laminated composite plate resting on elastic foundation: An analytical solution Mech. Adv. Mater. Struct. (IF 2.8) Pub Date : 2024-03-17 Sushree Das, Prasun Jana
The present study is focused on the development of an analytical solution for the buckling analysis of carbon nanotube reinforced functionally graded (FG-CNTRC) laminated plates resting on Pasterna...
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Improving the manufacturing of 3D printed insoles through a combined experimental and topology optimization approach Mech. Adv. Mater. Struct. (IF 2.8) Pub Date : 2024-03-17 Lorenzo Zoboli, Daniele Bianchi, Cristina Falcinelli, Alessio Gizzi
This study integrates additive manufacturing and advanced engineering to produce lightweight, mechanically suitable insoles. The research combines experimental data and computational techniques to ...
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Electromagnetic thermo-viscoelastic response of piezoelectric rods considering memory dependent effects Mech. Adv. Mater. Struct. (IF 2.8) Pub Date : 2024-03-17 Zheng Wan, Yongbin Ma
Based on the theory of nonlocal elasticity and nonlocal heat conduction, a new dual-phase-lag heat conduction model with memory dependent effect is proposed in this article to explore the thermodyn...
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Comparison of quasi-static compression performance of FDM 3D printed truss supported double arrowhead structure with a circular node Mech. Adv. Mater. Struct. (IF 2.8) Pub Date : 2024-03-14 R. Nekin Joshua, S. Aravind Raj
This research explores the use of Double Arrowhead (DAH) structures, known for their light weight, high compressive stiffness, and energy absorption. A novel truss-supported DAH structure with a ci...
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Dynamic characteristics analysis of functionally graded cracked beams resting on viscoelastic medium using a new quasi-3D HSDT Mech. Adv. Mater. Struct. (IF 2.8) Pub Date : 2024-03-14 Ahmed Kehli, Mokhtar Nebab, Riadh Bennai, Hassen Ait Atmane, Mouloud Dahmane
In this study, a new four-unknown quasi-3D shear deformation theory is proposed for studying the vibration responses of functionally graded (FG) beams containing open-edge cracks resting on three-p...
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Theoretical modeling and dynamic analysis of designable grillages for repairing material surface defect Mech. Adv. Mater. Struct. (IF 2.8) Pub Date : 2024-03-11 Minghe Li, Zailin Yang, Jinlai Bian, Yong Yang
Designing structural grillages is an innovative solution to repair material surface defects. The grillages have advantages as lightweight and directionally enhanced, but their stability and stress ...
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Crashworthiness properties of square hierarchical multicellular tube under axial impact Mech. Adv. Mater. Struct. (IF 2.8) Pub Date : 2024-03-14 Shen Xu, Xiaolin Deng, Huilan Huang, Fumo Yang
A new square hierarchical multicellular tube design is introduced, and the crashworthiness of various square hierarchical multicellular tubes with identical wall thickness and mass is systematicall...
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Vibration analysis of embedded porous nanobeams under thermal effects using boosting machine learning algorithms and semi-analytical approach Mech. Adv. Mater. Struct. (IF 2.8) Pub Date : 2024-03-13 Aiman Tariq, Büşra Uzun, Babür Deliktaş, Mustafa Özgür Yaylı
This study presents a thermal vibration analysis of functionally graded porous nanobeams using boosting machine learning models and a semi-analytical approach. Nonlocal strain gradient theory is em...
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Buckling load prediction of functionally graded porous nanocomposite cylindrical shells reinforced with graphene platelets through the vibration correlation technique: Combination of analytical approach and numerical analysis Mech. Adv. Mater. Struct. (IF 2.8) Pub Date : 2024-03-12 Davoud Shahgholian-Ghahfarokhi, Amin Khodadadi, Shahram Hosseini, Ehsan Daneshkhah, Hamzeh Salehipour
One of the best effective nondestructive methods to predict the buckling load of imperfection sensitive thin-walled structures is the vibration correlation technique (VCT). Although this technique ...
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On the variable length scale parameter in functionally graded non-porous and porous microplate/nanoplate Mech. Adv. Mater. Struct. (IF 2.8) Pub Date : 2024-03-12 Armita Beitollahi, Yousef Bazargan-Lari, Maziar Janghorban
In this article, the solution for free vibration and static bending of nonporous and porous square microplate/nanoplate is studied by practicing the modified couple stress theory (MCST). The impact...