Peridynamic model for visco-hyperelastic material deformation in different strain rates

Huang, Yunke and Oterkus, Selda and Hou, Hong and Oterkus, Erkan and Wei, Zhengyu and Zhang, Shuai (2019) Peridynamic model for visco-hyperelastic material deformation in different strain rates. Continuum Mechanics and Thermodynamics. ISSN 0935-1175

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    Abstract

    This study presents a peridynamic (PD) constitutive model for visco-hyperelastic materials under homogenous deformation. The constitutive visco-hyperelastic model is developed in terms of Yeoh strain energy density function and Prony series. The material parameters in the model are identified by optimizing the classical stress–strain relation and tension test data for different strain rates. The peridynamic visco-hyperelastic force density function is proposed in terms of the peridynamic integral and the Yeoh strain energy density. The time-dependent behaviour for different strain rates is captured by numerical time integration representing the material parameters. The explicit form of peridynamic equation of motion is then constructed to analyse the deformation of visco-hyperelastic membranes. The numerical results concern the deformation and damage prediction for a polyurea membrane and membrane-type acoustic metamaterial with inclusions under homogenous loading. Different surface defects are considered in the simulation. The peridynamic predictions are verified by comparing with finite element analysis results.