A thermodynamically consistent peridynamics model for visco-plasticity and damage

Pathrikar, Anil and Rahaman, Md Masiur and Roy, D (2019) A thermodynamically consistent peridynamics model for visco-plasticity and damage. In: COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 348 . pp. 29-63.

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Abstract

This article presents a unified visco-plastic-damage model in the peridynamics set-up which may be applied across different regime of strain rates and temperatures. In the model, we introduce two internal variables, one describing plastic flow and other the damage in the material. Exploiting the idea of master balance, in addition to the conventional momentum balances, we postulate micro-force balances for both plastic flow and damage evolution in terms of additional peridynamic force states. The equations of motion are in the form of integro-differential equations and do not require continuity of field variables. Using the idea of energy equivalence and entropy equivalence, constitutive relations for the peridynamic force states are determined. The proposed peridynamic visco-plastic-damage model may be thought as a non-trivial extension of the recently developed peridynamic viscoplasticity model (Rahaman et al.,2017). The current scheme couples the visco-plasticity and damage in a thermo-dynamically consistent manner and provides temperature evolution which reflects contribution from both plasticity and damage. The efficacy of the model is demonstrated through simulations of the adiabatic shear band propagation as observed in Kalthoff-Winkler experiment and the shear plugging failure of Weldox 460 E steel plates along with the determination of the ballistic limit. (C) 2019 Elsevier B.V. All rights reserved.

Item Type:	Journal Article
Publication:	COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
Publisher:	ELSEVIER SCIENCE SA
Additional Information:	copyright of this article belongs to ELSEVIER SCIENCE SA
Keywords:	Unified visco-plasticity and damage; Micro-force balances; Entropy equivalence; Internal variables; Peridynamics force states
Department/Centre:	Division of Mechanical Sciences > Civil Engineering
Date Deposited:	27 May 2019 08:09
Last Modified:	27 May 2019 08:09
URI:	http://eprints.iisc.ac.in/id/eprint/62263

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