Leugering, G., Prechtel, M., Steinmann, P. and Stingl, M. (2013) A cohesive crack propagation model: Mathematical theory and numerical solution. Communications on Pure and Applied Analysis, 12(4), pp. 1705-1729. (doi: 10.3934/cpaa.2013.12.1705)
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Abstract
We investigate the propagation of cracks in 2-d elastic domains, which are subjected to quasi-static loading scenarios. As we take cohesive effects along the crack path into account and impose a non-penetration condition, inequalities appear in the constitutive equations describing the elastic behavior of a domain with crack. In contrast to existing approaches, we consider cohesive effects arising from crack opening in normal as well as in tangential direction. We establish a constrained energy minimization problem and show that the solution of this problem satisfies the set of constitutive equations. In order to solve the energy minimization problem numerically, we apply a finite element discretization using a combination of standard continuous finite elements with so-called cohesive elements. A particular strength of our method is that the crack path is a result of the minimization process. We conclude the article by numerical experiments and compare our results to results given in the literature.
| Item Type: | Articles |
|---|---|
| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | Steinmann, Professor Paul |
| Authors: | Leugering, G., Prechtel, M., Steinmann, P., and Stingl, M. |
| College/School: | College of Science and Engineering > School of Engineering > Infrastructure and Environment |
| Journal Name: | Communications on Pure and Applied Analysis |
| Publisher: | American Institute of Mathematical Sciences |
| ISSN: | 1534-0392 |
| ISSN (Online): | 1553-5258 |
| Related URLs: |
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