Phase field modeling of fracture in Quasi-Brittle materials using natural neighbor Galerkin method

Kasirajan, P. and Bhattacharya, S. and Rajagopal, A. and Reddy, J.N. (2020) Phase field modeling of fracture in Quasi-Brittle materials using natural neighbor Galerkin method. Computer Methods in Applied Mechanics and Engineering, 366 (113019). ISSN 00457825

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Abstract

Recently developed phase field models of fracture require a diffusive crack representation based on an introduction of a crack phase field. We outline a thermodynamically consistent framework for phase field models of crack propagation in elastic solids, develop incremental variational principles. In this work, the numerical implementation of the phase field model for brittle fracture using natural neighbor Galerkin method is presented. Phase field method diffuses the sharp discontinuity by introducing a regularized crack functional. The notion of regularized crack functional provides a basis for defining suitable convex dissipation functions which govern the evolution of the crack phase field. The use of natural neighbors to dynamically decide the compact support at a nodal point makes it truly mesh free and nonlocal. The method uses smooth non-polynomial type Sibson interpolants, which are C0 at a given node and C∞ everywhere else. This allows to capture the interface region in a phase field model more accurately with only few nodes. For a given accuracy, there is an improvement in the computational time with the use of natural neighbor interpolants. Several benchmark problems were solved to investigate the efficiency of the numerical implementation of phase field model using natural neighbor Galerkin method.

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IITH Creators:
IITH CreatorsORCiD
Kasirajan, P.UNSPECIFIED
Bhattacharya, S.UNSPECIFIED
Rajagopal, A.UNSPECIFIED
Item Type: Article
Uncontrolled Keywords: Dissipation functions; Natural neighbors; Numerical implementation; Phase field methods; Phase field modeling of fractures; Phase fields; Quasibrittle material; Variational principles
Subjects: Civil Engineering
Divisions: Department of Civil Engineering
Depositing User: . LibTrainee 2021
Date Deposited: 19 Jul 2021 11:08
Last Modified: 19 Jul 2021 11:08
URI: http://raiith.iith.ac.in/id/eprint/8439
Publisher URL: http://doi.org/10.1016/j.cma.2020.113019
OA policy: https://v2.sherpa.ac.uk/id/publication/12450
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