Error estimation and adaptivity for discontinuous failure | Zendy

Pannachet T. | Zendy; Sluys L. J. | Zendy; Askes H. | Zendy

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Error estimation and adaptivity for discontinuous failure

Author(s) -

Pannachet T.,

Sluys L. J.,

Askes H.

Publication year - 2008

Publication title -

international journal for numerical methods in engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.421

H-Index - 168

eISSN - 1097-0207

pISSN - 0029-5981

DOI - 10.1002/nme.2495

Subject(s) - discontinuity (linguistics) , discretization , partition of unity , finite element method , norm (philosophy) , interpolation (computer graphics) , measure (data warehouse) , mathematics , discontinuous galerkin method , computer science , polygon mesh , mathematical optimization , degree of a polynomial , algorithm , polynomial , geometry , mathematical analysis , structural engineering , engineering , animation , computer graphics (images) , database , political science , law

Discontinuous failure is simulated via the introduction of a geometrical discontinuity. The cohesive zone is modelled via the use of the partition‐of‐unity property of the finite element interpolation. By this approach, a crack can pass through the elements without any restriction to the underlying mesh. Despite such a feature, it has been confirmed that a sufficiently fine mesh discretization still needs to be ensured in order to obtain a correct crack path and mechanical response. The p ‐adaptive scheme, driven by error in an energy norm measure or a goal‐oriented measure, has been examined due to its implementational simplicity. The results have shown that, if considering only increasing the polynomial degree, the p ‐approach can greatly improve the results. Copyright © 2008 John Wiley & Sons, Ltd.

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