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 Results for DC.creator="A." AND DC.creator="Authier" in section 1.3.6 of volume D
Elastic strain-energy density
Authier, A. and Zarembowitch, A.  International Tables for Crystallography (2013). Vol. D, Section 1.3.6.6, pp. 94-95 [ doi:10.1107/97809553602060000902 ]
... elastic strain-energy density for an anisotropic medium (for example a medium belonging to the most symmetrical groups of cubic crystals ...

Expansion of elastic constants for small initial stress
Authier, A. and Zarembowitch, A.  International Tables for Crystallography (2013). Vol. D, Section 1.3.6.5, pp. 93-94 [ doi:10.1107/97809553602060000902 ]
... to expand the elastic constants in the initial state as a power series in the strain about the natural state. To ...

Second-order and higher-order elastic stiffnesses
Authier, A. and Zarembowitch, A.  International Tables for Crystallography (2013). Vol. D, Section 1.3.6.4, p. 93 [ doi:10.1107/97809553602060000902 ]
... strain energy per unit volume [Phi], is assumed to be a polynomial in the strain: where , , X denotes the configuration of ... first two terms in (1.3.6.9) are zero. Note that is a stress and not an intrinsic characteristic of the material. In ... isothermal stiffnesses are, respectively, where the internal energy, U, is a function of X, and [sigma], and the Helmholtz free ...

Nonlinear elasticity
Authier, A. and Zarembowitch, A.  International Tables for Crystallography (2013). Vol. D, Section 1.3.6, pp. 92-95 [ doi:10.1107/97809553602060000902 ]
Nonlinear elasticity 1.3.6. Nonlinear elasticity 1.3.6.1. Introduction | | In a solid body, the relation between the stress tensor T and ... equation 1.3.3.2)where the 's are the elastic stiffnesses. For a solid under finite strain conditions, Hooke's law, valid for ... Lagrangian (material) or the Eulerian (spatial) descriptions. Let us consider a fixed rectangular Cartesian coordinate system with axes (). Any ...

Lagrangian and Eulerian descriptions
Authier, A. and Zarembowitch, A.  International Tables for Crystallography (2013). Vol. D, Section 1.3.6.2, p. 92 [ doi:10.1107/97809553602060000902 ]
... Lagrangian (material) or the Eulerian (spatial) descriptions. Let us consider a fixed rectangular Cartesian coordinate system with axes (). Any particular position vector r of components (, , ) denotes a point in space. A point that always moves with the material is called ...

Introduction
Authier, A. and Zarembowitch, A.  International Tables for Crystallography (2013). Vol. D, Section 1.3.6.1, p. 92 [ doi:10.1107/97809553602060000902 ]
Introduction 1.3.6.1. Introduction In a solid body, the relation between the stress tensor T and ... equation 1.3.3.2)where the 's are the elastic stiffnesses. For a solid under finite strain conditions, Hooke's law, valid for ...

Strain and stress tensors
Authier, A. and Zarembowitch, A.  International Tables for Crystallography (2013). Vol. D, Section 1.3.6.3, pp. 92-93 [ doi:10.1107/97809553602060000902 ]
... stress tensors The displacement vector from the reference position of a particle to its new position has as components The term strain refers to a change in the relative positions of the material points in a body. Let a final configuration be described in terms ...

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