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Error Controlled Adaptive Multiscale Method for Fracture in Polycrystalline Materials

Akbari Rahimabadi, Ahmad 2014. Error Controlled Adaptive Multiscale Method for Fracture in Polycrystalline Materials. PhD Thesis, Cardiff University.
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Abstract

A lack of separation of scales is the major hurdle hampering predictive and computationally tractable simulations of fracture over multiple scales. In this thesis an adaptive multiscale method is presented in an attempt to address this challenge. This method is set in the context of FE2 Feyel and Chaboche [2000] for which computational homogenisation breaks down upon loss of material stability (softening). The lack of scale separation due to the coalescence of microscopic cracks in a certain zone is tackled by a full discretisation of the microstructure in this zone. Polycrystalline materials are considered with cohesive cracks along the grain boundaries as a model problem. Adaptive mesh refinement of the coarse region and adaptive initiation and growth of fully resolved regions are performed based on discretisation error and homogenisation error criteria, respectively. In order to follow sharp snap-backs in load-displacement paths, a local arc-length technique is developed for the adaptive multiscale method. The results are validated against direct numerical simulation.

Item Type: Thesis (PhD)
Status: Unpublished
Schools: Engineering
Subjects: T Technology > TA Engineering (General). Civil engineering (General)
Uncontrolled Keywords: Multiscale method; Homogenisation; Nonlinear fracture; Modelling error; Discretisation error; Cohesive elements.
Date of First Compliant Deposit: 30 March 2016
Last Modified: 19 Mar 2016 23:46
URI: http://orca.cf.ac.uk/id/eprint/65109

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