Peridynamic simulation of finite elastic deformation and rupture in polymers

Pranesh Roy; Deepak Behera; Erdogan Madenci

doi:10.1016/j.engfracmech.2020.107226

Peridynamic simulation of finite elastic deformation and rupture in polymers

Pranesh Roy, Deepak Behera, Erdogan Madenci

Aerospace and Mechanical Engineering

Research output: Contribution to journal › Article › peer-review

9 Scopus citations

Abstract

This study concerns the finite elastic deformation and rupture in styrene-butadiene rubber (SBR) and Polydimethylsiloxane (PDMS) sheets under quasi-static loading conditions. The weak form of peridynamic (PD) equilibrium equation is derived based on Anand's model and Talamini-Mao-Anand (TMA) model for polymers with slight compressibility. The nonlocal deformation gradient tensor is computed in a bond-associated domain of interaction using the PD differential operator. This approach is free of oscillations and spurious zero energy modes that are commonly observed in the PD correspondence models. Also, it permits the direct imposition of natural and essential boundary conditions. The fidelity of this PD model for predicting large deformation, progressive damage and rupture is established by comparison with experimental measurements and previous simulations of SBR and PDMS sheets with defects under displacement controlled tensile loading.

Original language	English (US)
Article number	107226
Journal	Engineering Fracture Mechanics
Volume	236
DOIs	https://doi.org/10.1016/j.engfracmech.2020.107226
State	Published - Sep 2020

Keywords

Correspondence models
Finite deformation
Peridynamics
Polymer
Rupture

ASJC Scopus subject areas

Materials Science(all)
Mechanics of Materials
Mechanical Engineering

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10.1016/j.engfracmech.2020.107226

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title = "Peridynamic simulation of finite elastic deformation and rupture in polymers",

abstract = "This study concerns the finite elastic deformation and rupture in styrene-butadiene rubber (SBR) and Polydimethylsiloxane (PDMS) sheets under quasi-static loading conditions. The weak form of peridynamic (PD) equilibrium equation is derived based on Anand's model and Talamini-Mao-Anand (TMA) model for polymers with slight compressibility. The nonlocal deformation gradient tensor is computed in a bond-associated domain of interaction using the PD differential operator. This approach is free of oscillations and spurious zero energy modes that are commonly observed in the PD correspondence models. Also, it permits the direct imposition of natural and essential boundary conditions. The fidelity of this PD model for predicting large deformation, progressive damage and rupture is established by comparison with experimental measurements and previous simulations of SBR and PDMS sheets with defects under displacement controlled tensile loading.",

keywords = "Correspondence models, Finite deformation, Peridynamics, Polymer, Rupture",

author = "Pranesh Roy and Deepak Behera and Erdogan Madenci",

note = "Funding Information: This study was suggested by L. Anand of MIT to E. Madenci when he was visiting MIT during 2018–2019. We appreciate his suggestions and comments during the preparation of the manuscript. 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 ). Publisher Copyright: {\textcopyright} 2020 Elsevier Ltd",

year = "2020",

month = sep,

doi = "10.1016/j.engfracmech.2020.107226",

language = "English (US)",

volume = "236",

journal = "Engineering Fracture Mechanics",

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AU - Roy, Pranesh

AU - Behera, Deepak

AU - Madenci, Erdogan

N1 - Funding Information: This study was suggested by L. Anand of MIT to E. Madenci when he was visiting MIT during 2018–2019. We appreciate his suggestions and comments during the preparation of the manuscript. 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 ). Publisher Copyright: © 2020 Elsevier Ltd

PY - 2020/9

Y1 - 2020/9

N2 - This study concerns the finite elastic deformation and rupture in styrene-butadiene rubber (SBR) and Polydimethylsiloxane (PDMS) sheets under quasi-static loading conditions. The weak form of peridynamic (PD) equilibrium equation is derived based on Anand's model and Talamini-Mao-Anand (TMA) model for polymers with slight compressibility. The nonlocal deformation gradient tensor is computed in a bond-associated domain of interaction using the PD differential operator. This approach is free of oscillations and spurious zero energy modes that are commonly observed in the PD correspondence models. Also, it permits the direct imposition of natural and essential boundary conditions. The fidelity of this PD model for predicting large deformation, progressive damage and rupture is established by comparison with experimental measurements and previous simulations of SBR and PDMS sheets with defects under displacement controlled tensile loading.

AB - This study concerns the finite elastic deformation and rupture in styrene-butadiene rubber (SBR) and Polydimethylsiloxane (PDMS) sheets under quasi-static loading conditions. The weak form of peridynamic (PD) equilibrium equation is derived based on Anand's model and Talamini-Mao-Anand (TMA) model for polymers with slight compressibility. The nonlocal deformation gradient tensor is computed in a bond-associated domain of interaction using the PD differential operator. This approach is free of oscillations and spurious zero energy modes that are commonly observed in the PD correspondence models. Also, it permits the direct imposition of natural and essential boundary conditions. The fidelity of this PD model for predicting large deformation, progressive damage and rupture is established by comparison with experimental measurements and previous simulations of SBR and PDMS sheets with defects under displacement controlled tensile loading.

KW - Correspondence models

KW - Finite deformation

KW - Peridynamics

KW - Polymer

KW - Rupture

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DO - 10.1016/j.engfracmech.2020.107226

M3 - Article

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JO - Engineering Fracture Mechanics

JF - Engineering Fracture Mechanics

SN - 0013-7944

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ER -

Peridynamic simulation of finite elastic deformation and rupture in polymers

Abstract

Keywords

ASJC Scopus subject areas

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