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- W83085999 abstract "In this paper we discuss the formulation of polyconvex, anisotropic free energy functions within the framework of the invariant theory. In order to guarantee the existence of solutions in large strain elasticity, the free energy function has to be quasiconvex. This condition is rather complicated to handle. Therefore, polyconvex functions are usually considered which are always quasiconvex. For isotropic materials, there exists a wide range of constitutive functions which satisfy the polyconvexity requirement. However, to the authors knowledge, there exists no systematic treatment of anisotropic, polyconvex free energies in the literature. The goal of this contribution is the construction of transversely isotropic free energy functions which automatically satisfy the polyconvexity condition." @default.
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- W83085999 date "2003-01-01" @default.
- W83085999 modified "2023-10-03" @default.
- W83085999 title "On the Construction of Polyconvex Anisotropic Free Energy Functions" @default.
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- W83085999 doi "https://doi.org/10.1007/978-94-017-0297-3_15" @default.
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