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A continuous/discontinuous Galerkin formulation for a strain gradient-dependent damage model


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Conference Object

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Authors

Wells, GN 
Garikipati, K 
Molari, L 

Abstract

The numerical solution of strain gradient-dependent continuum problems has been hindered by continuity demands on the basis functions. The presence of terms in constitutive models that involve gradients of the strain field means that the C0 continuity of standard finite element shape functions is insufficient. Despite a resurgence of research interest in strain gradient continuum models to represent micro-mechanical effects, a sound, effective and simple framework for the numerical solution of strain gradient-dependent problems is lacking. Here, a formulation is presented which allows the use of C0 finite element shape functions for the solution of a prototype strain gradient-dependent damage model. The formulation is examined in two dimensions for the simulation of crack propagation. Particular attention is paid to the application of non-standard boundary conditions.

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Keywords

damage, fracture, discontinuous Galerkin method

Journal Title

4th European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS)

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4th European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS)

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