Abstract
Functionally Graded Materials (FGMs) are advanced materials that possess continuously graded properties. Applications of FGMs are on composites, ceramics, alloys and coatings. This work is concerned with the crack analysis of FGMs. To this end we exploit a Clausius—Planck inequality to a migrating control volume. As a consequence of the principle of maximum dissipation the direction of crack propagation is obtained in terms of material forces. In the numerical implementation a staggered algorithm — deformation update for fixed geometry followed by geometry update for fixed deformation — is employed. The corresponding finite element mesh is generated by combining Delaunay triangulation with local mesh refinement. In a numerical example the brittle crack propagation in an FGM is investigated for varying directions of strength gradation within the structures.
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Mahnken, R. (2009). On Crack Analysis of Functionally Graded Materials with Material Forces. In: Steinmann, P. (eds) IUTAM Symposium on Progress in the Theory and Numerics of Configurational Mechanics. IUTAM Bookseries, vol 17. Springer, Dordrecht. https://doi.org/10.1007/978-90-481-3447-2_6
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DOI: https://doi.org/10.1007/978-90-481-3447-2_6
Publisher Name: Springer, Dordrecht
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