Representation of Constitutive Equations in Creep Mechanics of Isotropic and Anisotropic Materials

作者: Josef Betten

DOI: 10.1007/978-3-642-81598-0_11

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摘要: In this paper constitutive equations for the secondary creep stage of isotropic and anisotropic materials are formulated. The theory is based upon assumption existence a potential, which can depend only on basic or, alternatively, principal invariants stress tensor, if material isotropic. These elements integrity basis orthogonal group. For solids representation expressions given by using an under subgroup transformations associated with symmetry properties considered. Instead sub group behaviour considered potential contains tensors characterizing anisotropy material. these constructed. Together single argument system simultaneous or joint found. approach hypothesis compared response approximated tensor power series arbitrary degree in connection HAMILTON-CAYLEY’s theorem.

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