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Contents: J.P. Boehler: Physical motivation.- J.P. Boehler: Introduction to the invariant formulation of anisotropic constitutive equations.- J.P. Boehler: Representations for isotropic and anisotropic non-polynomial tensor functions.- J.P. Boehler: Anisotropic linear elasticity.- J.P. Boehler: Yielding and failure of transversely isotropic solids.- J.P. Boehler: On a rational formulation of isotropic and anisotropic hardening.- J.P. Boehler: Anisotropic hardening of rolled sheet-steel.- A.J.M. Spencer: Isotropic polynomial invariants and tensor functions.- A.J.M. Spencer: Anisotropic invariants and additional results for invariant and tensor representations.- A.J.M. Spencer: Kinematic constraints, constitutive equations and failure rules for anisotropic materials.- J. Betten: Invariants of fourth-order tensors.- J. Betten: Formulation of anisotropic constitutive equations.- J. Betten: Interpolation methods for tensor functions.- J. Betten: Tensor function theory and classical plastic potential.