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Peridynamic simulation of creep deformation and damage

  • S.I. : Non-Classical Cont Mech
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Abstract

This study presents a nonordinary state-based (NOSB) peridynamic (PD) modeling of creep deformation and damage. The force density vectors in PD equilibrium equations are derived by considering the Liu and Murakami creep model with a damage parameter. The bond-associated (BA) deformation gradient is derived by using the PD differential operator (PDDO). Traction and displacement boundary conditions are directly imposed through a novel strategy while solving for the strong form of PD equilibrium equations. The PD form of traction components enables the imposition of traction conditions in the actual “boundary layer” region without any unphysical displacement kinks near the boundaries. The approach is validated under uniaxial and 2D plane stress assumptions by considering creep deformation due to constant stress at high temperatures. The creep strain predictions are in excellent agreement with the experimental data and analytical solutions. Subsequently, creep crack growth in a compact tension (CT) specimen is simulated by using the damage variable in Liu and Murakami constitutive model.

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Acknowledgements

This study was performed as part of the ongoing research at the MURI Center for Material Failure Prediction through Peridynamics at the University of Arizona (AFOSR Grant No. FA9550-14-1-0073).

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Authors and Affiliations

  1. Department of Aerospace and Mechanical Engineering, The University of Arizona, Tucson, AZ, 85721, USA

    Deepak Behera & Erdogan Madenci

  2. Department of Civil Engineering, Indian Institute of Technology (Indian School of Mines) (IIT-ISM), Dhanbad, Jharkhand, 826004, India

    Pranesh Roy

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  1. Deepak Behera
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Correspondence to Erdogan Madenci.

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Behera, D., Roy, P. & Madenci, E. Peridynamic simulation of creep deformation and damage. Continuum Mech. Thermodyn. (2024). https://doi.org/10.1007/s00161-024-01295-3

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