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Asymptotic fields at
frictionless and frictional cohesive crack tips in
quasibrittle materials
QiZhi Xiao and Bhushan Lal Karihaloo |
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Vol. 1 (2006), No. 5, 881–910
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Abstract |
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The lack of any work on the asymptotic fields at the tips of cohesive cracks belies the widespread use of cohesive crack models. This study is concerned with the solution of asymptotic fields at cohesive crack tips in quasibrittle materials. Only normal cohesive separation is considered, but the effect of Coulomb friction on the cohesive crack faces is studied. The special case of a pure mode I cohesive crack is fully investigated. The solution is valid for any separation law that can be expressed in a special polynomial form. It is shown that many commonly used separation laws of quasibrittle materials, for example, rectangular, linear, bilinear, and exponential, can be easily expressed in this form. The asymptotic fields obtained can be used as enrichment functions in the extended/generalized finite element method at the tip of long cohesive cracks, as well as short branches/kinks. |
Keywords
asymptotic field, cohesive crack tip, Coulomb friction,
quasibrittle material, cohesion-separation laws
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Milestones
Received: 19 January 2006
Accepted: 5 April 2006
Published: 1 September 2006
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Authors |
| QiZhi Xiao | |
| School of Engineering Cardiff University Queen’s Buildings The Parade Cardiff CF24 3AA United Kingdom |
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| Bhushan Lal Karihaloo | |
| School of Engineering Cardiff University Queen’s Buildings The Parade Cardiff CF24 3AA United Kingdom |
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