Titlebook: Applications of Tensor Functions in Solid Mechanics; J. P. Boehler Book 1987 Springer-Verlag Wien 1987 elasticity.material.mechanics.solid

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The Political Economy of Energy Efficiency,In solid mechanics representing scalar-valued tensor functions or second-order tensor-valued tensor functions is of major concern. For instance, the plastic potential is scalar-valued, whereas constitutive equations are tensor-valued.

intercede

Introduction to the Invariant Formulation of Anisotropic Constitutive Equations,The aim of this Chapter is to present some elementary notion for non-specialists in the invariant formulation of anisotropic constitutive equations. Much of this Chapter is taken from [1].

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Anisotropic Linear Elasticity,Consider a symmetric second order tensor . which is a function . of a symmetric second order tensor .. If . is a transversely isotropic function of ., its irreducible representation is obtained from Table IV of Chapter 3.

TEN

Invariants of Fourth-Order Tensors,In solid mechanics representing scalar-valued tensor functions or second-order tensor-valued tensor functions is of major concern. For instance, the plastic potential is scalar-valued, whereas constitutive equations are tensor-valued.

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Applications of Tensor Functions in Solid Mechanics

FLAIL

表状态

Representations for Isotropic and Anisotropic Non-Polynomial Tensor Functions,ations of isotropic and anisotropic tensor functions and indi­cate the type and the number of independent variables involved in a cons­titutive relation. Thus, in a properly written constitutive equation, the material symmetries are automatically verified.

manifestation

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Gratulate

Anisotropic Hardening of Rolled Sheet-Steel,croscopic level, the oriented internal structure results in the anisotropy of the mecahnical behavior. For rolled sheet-steel, the internal structure generally presents three orthogonal planes of symmetry; the macroscopic behavior is thus orthotropic. When sheet-steel is subjected to further irrever