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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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Isotropic Polynomial Invariants and Tensor Functions,der the purely algebraic problem of determining systems of polynomial invariants and tensor polynomial functions for a given set of vectors and tensors, for some of the transformation groups which are of importance in continuum mechanics.
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Anisotropic Invariants and Additional Results for Invariant and Tensor Representations,hich is invariance under the group generated by the rotations . and the reflection .. If only second-order tensors are considered, it is not necessary to distinguish between the five cases listed under (.) of Section 3 of Chapter 8.
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Interpolation Methos for Tensor Functions,be distinct points and y. corresponding values. The polynomial of degree n-1.is called “LAGRANGE interpolation formula”, where the polynomials.are introduced. It is clear that L.(x.) is equal to one for α = β and equal to zero for α ≢ β. The remainder in (1) is given by.where min (x, x.,..., x.) < ξ < max (x, x.,..., x.).
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https://doi.org/10.1007/978-3-7091-2810-7elasticity; material; mechanics; solid
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978-3-211-81975-3Springer-Verlag Wien 1987
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Modelling the Economy-wide Rebound EffectConsider 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.
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