Peridynamic simulation of finite elastic deformation and rupture in polymers

Pranesh Roy, Deepak Behera, Erdogan Madenci

Research output: Contribution to journalArticlepeer-review

33 Scopus citations


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 languageEnglish (US)
Article number107226
JournalEngineering Fracture Mechanics
StatePublished - Sep 2020


  • Correspondence models
  • Finite deformation
  • Peridynamics
  • Polymer
  • Rupture

ASJC Scopus subject areas

  • General Materials Science
  • Mechanics of Materials
  • Mechanical Engineering


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