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Qixiao Yu
| Speaker: |
Qixiao Yu
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| Date: |
Monday August 30, 2010
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| Title: |
Numerical
Simulation of Crack Propagation in Heterogeneous Materials
(Master's
thesis presentation)
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Abstract
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We study the crack
propagation direction for a pre-existing crack located in a plate made
of isotropic homogeneous linear elastic material with circular
inclusions. The plate is acted upon by uniform stresses at the upper
and lower edges. After introducing the governing equations and fracture
criteria, a numerical simulation of the crack propagation direction
based on the finite element method is implemented in various cases,
such as the homogeneous matrix case, the one inclusion case and the
multiple inclusions cases. The relations between the propagation
direction and the inclusions number, sizes and positions are studied.
Based on these relations, an iterative algorithm that predicts the
crack propagation direction without using the finite element method is
proposed. Some numerical results from the algorithm are compared with
the results from the finite element method.
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