A Hybrid Discontinuous Galerkin Interface Method for the Computational Modelling of Failure

Mergheim J, Kuhl E, Steinmann P (2004)


Publication Type: Journal article

Publication year: 2004

Journal

Publisher: John Wiley & Sons, Ltd

Book Volume: 20

Pages Range: 511-519

DOI: 10.1002/cnm.689

Abstract

The present contribution is concerned with the computational modelling of failure along well-defined surfaces, which occur for example in the case of light-weight composite materials. A hybrid method will be introduced which makes use of the discontinuous Galerkin method in combination with a finite element interface approach. As a natural choice interface elements are introduced along the known failure surface. The discontinuous Galerkin method is applied in the pre-failure regime to avoid the unphysical use of penalty terms and instead to enforce the continuity of the solution along the interface weakly. Once a particular failure criterion is fulfilled, the behaviour of the interface is determined constitutively, depending on the displacement jump. The applicability of the proposed method is illustrated by means of two computational model problems. © 2004 John Wiley and Sons, Ltd.

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APA:

Mergheim, J., Kuhl, E., & Steinmann, P. (2004). A Hybrid Discontinuous Galerkin Interface Method for the Computational Modelling of Failure. Communications in Numerical Methods in Engineering, 20, 511-519. https://dx.doi.org/10.1002/cnm.689

MLA:

Mergheim, Julia, Ellen Kuhl, and Paul Steinmann. "A Hybrid Discontinuous Galerkin Interface Method for the Computational Modelling of Failure." Communications in Numerical Methods in Engineering 20 (2004): 511-519.

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