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

Yunke Huang, Selda Oterkus, Hong Hou, Erkan Oterkus, Zhengyu Wei, Shuai Zhang

Research output: Contribution to journalArticle

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 are 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.
LanguageEnglish
Number of pages35
JournalContinuum Mechanics and Thermodynamics
Early online date20 Nov 2019
DOIs
Publication statusE-pub ahead of print - 20 Nov 2019

Fingerprint

strain rate
Strain rate
Strain energy
membranes
Membranes
Probability density function
Prony series
flux density
Surface defects
Metamaterials
surface defects
predictions
Constitutive models
Equations of motion
equations of motion
Acoustics
inclusions
damage
Finite element method
acoustics

Keywords

  • peridynamics
  • visco-hyperelastic materials
  • acoustic meta-materials
  • damage

Cite this

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title = "Peridynamic model for visco-hyperelastic material deformation in different strain rates",
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 are 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.",
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journal = "Continuum Mechanics and Thermodynamics",
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Peridynamic model for visco-hyperelastic material deformation in different strain rates. / Huang, Yunke; Oterkus, Selda; Hou, Hong; Oterkus, Erkan; Wei, Zhengyu; Zhang, Shuai.

In: Continuum Mechanics and Thermodynamics, 20.11.2019.

Research output: Contribution to journalArticle

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T1 - Peridynamic model for visco-hyperelastic material deformation in different strain rates

AU - Huang, Yunke

AU - Oterkus, Selda

AU - Hou, Hong

AU - Oterkus, Erkan

AU - Wei, Zhengyu

AU - Zhang, Shuai

PY - 2019/11/20

Y1 - 2019/11/20

N2 - 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 are 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.

AB - 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 are 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.

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KW - acoustic meta-materials

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