On the application of Hansbo's method for interface problems

Kuhl, E., Jäger, P., Mergheim, J. and Steinmann, P. (2007) On the application of Hansbo's method for interface problems. In: Combescure, A., De Borst, R. and Belytschko, T. (eds.) UTAM Symposium on Discretization Methods for Evolving Discontinuities. Series: IUTAM bookseries (5). Springer: Dordrecht, pp. 255-265. ISBN 9781402065293 (doi: 10.1007/978-1-4020-6530-9_15)

Abstract

A geometrically nonlinear finite element framework for the modeling of strong discontinuities in three dimensional continua is presented. By doubling the degrees of freedom in the discontinuous elements, the algorithm allows for arbitrary discontinuities which are not a priori restricted to inter-element boundaries. On both sides of the discontinuity we apply an independent interpolation of the deformation field. Accordingly, the suggested approach relies exclusively on displacement degrees of freedom. On the discontinuity surface itself, we make use of the cohesive zone concept to account for a smooth crack opening. A three dimensional bending problem and the classical symmetric and non-symmetric peel test demonstrate the performance of the suggested method.

• Item Type: Book Sections
• Additional Information: Online ISBN: 9781402065309.
• Status: Published
• Glasgow Author(s) Enlighten ID: Steinmann, Professor Paul
• Authors: Kuhl, E., Jäger, P., Mergheim, J., and Steinmann, P.
• College/School: College of Science and Engineering > School of Engineering > Infrastructure and Environment
• Journal Name: Solid Mechanics and its Applications
• Publisher: Springer
• ISBN: 9781402065293

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