Abstract
The convexity of energy functionals for inelastic materials is analyzed on the basis of an incremental variational principle. Non-quasiconvex problems give rise to microstructures and often exhibit mesh-dependent results when being solved by standard solution methods, e.g., FEM. A partial rank-one convexification enables a reduction of the mesh-dependency and allows to predict the occurrence and distribution of microstructures independent of the numerical realization.
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Hackl, K., Hoppe, U. (2003). On the Calculation of Microstructures for Inelastic Materials using Relaxed Energies. In: Miehe, C. (eds) IUTAM Symposium on Computational Mechanics of Solid Materials at Large Strains. Solid Mechanics and Its Applications, vol 108. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-0297-3_7
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DOI: https://doi.org/10.1007/978-94-017-0297-3_7
Publisher Name: Springer, Dordrecht
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