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Analysis and optimisation of interfaces for multi-material structures. (English) Zbl 1189.74011
Ganghoffer, Jean-François (ed.) et al., Mechanics of microstructured solids. Cellular materials, fibre-reinforced solids and soft tissues. Papers based on the presentations at the 11th EUROMECH-MECAMAT conference, Torino, Italy, March 10–14, 2008. Berlin: Springer (ISBN 978-3-642-00910-5/hbk; 978-3-642-00911-2/ebook). Lecture Notes in Applied and Computational Mechanics 46, 13-20 (2009).
Summary: This paper is concerned with aspects of structural analysis for interfaces using non-conforming mesh methods. Additionally, the corresponding sensitivity analysis and the optimisation procedure are outlined. Generally, strains and stresses at the material interfaces must be correctly computed and efficiently controlled so that stress concentrations yielding damage and failure are avoided. Discontinuous physical behaviour such as cracks and inclusions can be modelled on a fixed grid using the extended finite element method (XFEM). A novel Nitsche-type version (XFEM-Nitsche) capturing weak discontinuities at interfaces is presented.
For the entire collection see [Zbl 1189.74006].
MSC:
74A50 Structured surfaces and interfaces, coexistent phases
74S05 Finite element methods applied to problems in solid mechanics
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