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Modelling of cohesive crack propagation using enhanced finite element method via h-adaptive technique |
Received:May 07, 2012 Revised:December 10, 2013 |
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DOI:10.7511/jslx201402017 |
KeyWord:cohesive crack h-adaptivity discontinuous deformation hanging nodes enhanced finite element method |
Author | Institution |
凌道盛 |
浙江大学 软弱土与环境土工教育部重点实验室 岩土工程研究所, 杭州 |
卜令方 |
浙江大学 软弱土与环境土工教育部重点实验室 岩土工程研究所, 杭州 |
涂福彬 |
浙江大学 软弱土与环境土工教育部重点实验室 岩土工程研究所, 杭州 |
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Abstract: |
Representation of discontinuities and handling of hanging nodes are two key points of numerical simulation of cohesive crack propagation via h-adaptive technique such as element subdivision.Firstly,a unified correlation rule for enhanced finite element method,as a combination of coverage of mathematical mode,suitable for representing discontinuous displacement field,and reconstruction of physical mode,suitable for dealing with hanging nodes,is proposed by introducing a transitional element between mathematical element and physical element.The corresponding finite element formulas are then derived.Secondly,a scheme for h-adaptivity,with two indexes,i.e.,the influencing radius of mathematical crack tip and the crack-tip mesh size,is put forward for modeling of cohesive crack propagation.The reasonability and effectiveness of the proposed approach is validated against two examples. |
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