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Formulation of Anisotropic Constitutive Equations
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Author(s):
J. Betten
Publication date
(Print):
1987
Publisher:
Springer Vienna
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Numerical Algebra, Matrix Theory, Differential-Algebraic Equations, and Control Theory
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On isotropic functions of symmetric tensors, skew-symmetric tensors and vectors
G.F. Smith
(1971)
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The theory of matrix polynomials and its application to the mechanics of isotropic continua
R S Rivlin
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A. J. M. Spencer
(1958)
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On Irreducible Representations for Isotropic Scalar Functions
J. Boehler
(1977)
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Author and book information
Book Chapter
Publication date (Print):
1987
Pages
: 228-250
DOI:
10.1007/978-3-7091-2810-7_12
SO-VID:
15f569c9-37e4-47a9-b449-c7dc978ab7ff
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Book chapters
pp. 3
Physical Motivation
pp. 13
Introduction to the Invariant Formulation of Anisotropic Constitutive Equations
pp. 31
Representations for Isotropic and Anisotropic Non-Polynomial Tensor Functions
pp. 55
Anisotropic Linear Elasticity
pp. 67
Yielding and Failure of Transversely Isotropic Solids
pp. 99
On a Rational Formulation of Isotropic and Anisotropic Hardening
pp. 123
Anisotropic Hardening of Rolled Sheet-Steel
pp. 141
Isotropic Polynomial Invariants and Tensor Functions
pp. 171
Anisotropic Invariants and Additional Results for Invariant and Tensor Representations
pp. 187
Kinematic Constraints, Constitutive Equations and Failure Rules for Anisotropic Materials
pp. 203
Invariants of Fourth-Order Tensors
pp. 228
Formulation of Anisotropic Constitutive Equations
pp. 251
Interpolation Methos for Tensor Functions
pp. 279
Tensor Function Theory and Classical Plastic Potential
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