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Nonlinear Elastic Shell Theory
1983The aim of this monograph is to unify, simplify and extend a number of results that have appeared in the last 20 years in the field of nonlinear-shell-theories. Authors adopt a mixed approach by using integral equations of motion and thermodynamics of a three-dimensional body taken over its reference shape.
Libai, A., Simmonds, J. G.
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Nonlinear elasticity of amorphous solids
Physical Review Letters, 1989Structural phase transitions in amorphous solids associated with vanishing bulk modulus K or shear modulus \ensuremath{\mu} are considered. We find that the transition (realized in gels) at K=0, though of second order, does not exhibit true scaling behavior of density fluctuations.
, Golubovic, , Lubensky
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Effective elastic constants in nonlinear elasticity
Journal of Applied Physics, 2005The Lagrangian elastic constants cIJ and cIJK which are given in data-books are not stress-strain relationships. The relationships between them and any experimental observables are far from straightforward to evaluate under conditions of finite deformation when elasticity is nonlinear.
S. H. B. Bosher, D. J. Dunstan
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On nonlinear universal relations in nonlinear elasticity
Zeitschrift für angewandte Mathematik und Physik, 2006In the theory of nonlinear elasticity universal relations are relationships connecting the components of stress and deformation tensors that hold independently of the constitutive equation for the considered class (or sub-class) of materials. They are classified as linear or nonlinear according as the components of the stress appear linearly or ...
R. Bustamante, R. W. Ogden
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On the Ubiquity of Fracture in Nonlinear Elasticity
Journal of Elasticity, 1998Mathematics Technical ...
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Existence Theorems in Nonlinear Elasticity
1986Publisher Summary This chapter reviews the existence theorems in nonlinear elasticity. Following the existence theory in nonlinear elasticity, one is interested in minimizing, on a fixed class of functions. The chapter fixes a boundary condition, natural in the context of nonlinear elasticity.
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On Nonlinear Elastic Stoneley Wave
International Applied Mechanics, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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NONLINEAR ELASTICITY AND THERMODYNAMICS OF GRANULAR MATERIALS
Advances in Complex Systems, 2001The elastic properties of granular materials can be enormously nonlinear as compared with the properties of non-porous materials. Experiments on isotropic compression of a granular assembly of spheres show that the shear μ, and bulk k, moduli vary with the confining pressure faster than the 1/3 power law predicted by Hertz–Mindlin elasticity theory ...
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