Peridynamics damage model through phase field theory

Roy, Pranesh and Pathrikar, Anil and Deepu, S P and Roy, Debasish (2017) Peridynamics damage model through phase field theory. In: INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES, 128 . pp. 181-193.

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Abstract

We attempt a reformulation of the phase field theory in the framework of peridynamics (PD) to arrive at a continuum damage model. This obtains a better criterion for bond breaking in PD, marking a departure from the inherently ad-hoc bond-stretch-based or bond-energy-based conditions and thus allowing for the body to physically break into parts which a phase field model cannot by itself accomplish. Moreover, posed within the PD setup, the integral equation for the phase field eases the smoothness restrictions on the field variable. Taking advantages from both the worlds, the proposed scheme thus offers a better computational approach to problems involving cracks or discontinuities. Starting with Hamilton's principle, an equation of the Ginzburg-Landau type with dissipative correction is arrived at as a model for the phase field evolution. A constitutive correspondence route is followed to incorporate classical constitutive relations within our PD model. Numerical simulations of dynamic crack propagation (including branching) and the Kalthoff-Winkler experiment are also provided. To demonstrate how the model naturally prevents interpenetration, a mode II delamination simulation is presented. A brief discussion on the convergence of PD equations to the classical theory is provided in Appendix I.

Item Type:	Journal Article
Publication:	INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES
Additional Information:	Copy right for this article belongs to the PERGAMON-ELSEVIER SCIENCE LTD, THE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD OX5 1GB, ENGLAND
Department/Centre:	Division of Mechanical Sciences > Civil Engineering
Date Deposited:	30 Sep 2017 09:19
Last Modified:	30 Sep 2017 09:19
URI:	http://eprints.iisc.ac.in/id/eprint/57946

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