Results 251 to 260 of about 1,972,470 (293)

Quantitative Homogenization in Nonlinear Elasticity for Small Loads

, 2017
We study quantitative periodic homogenization of integral functionals in the context of nonlinear elasticity. Under suitable assumptions on the energy densities (in particular frame indifference; minimality, non-degeneracy and smoothness at the identity;
S. Neukamm, Mathias Schäffner
semanticscholar   +1 more source

Nonlinear Elasticity Background

2013
In this chapter we summarize the main ingredients of continuum mechanics and their application to nonlinear elasticity with a view to the subsequent development of the nonlinear theories of electroelastic and magnetoelastic interactions. The setting is purely mechanical without reference to any electromagnetic effects.
Luis Dorfmann, Ray W. Ogden
openaire   +1 more source

Nonlinear elasticity imaging

2002 IEEE Ultrasonics Symposium, 2002. Proceedings., 2003
In tissue the Young's modulus cannot be assumed constant as a function of preload. For example, direct mechanical measurements on human prostate show up to a threefold increase in Young's modulus over a 10% deformation. In conventional elasticity imaging these effects produce strain dependent elastic contrast.
R.Q. Erkamp, S.Y. Emelianov, A.R. Skovoroda, M. O'Donnell   +3 more
openaire   +1 more source

Effective elastic constants in nonlinear elasticity

Journal of Applied Physics, 2005
The 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
openaire   +1 more source

Nonlinear interactions in elastic resonators

Ultrasonics, 2006
This work is dedicated to nonlinear interactions in elastic resonators. It is supposed that a resonator wall yields locally to the inner pressure. The elastic wall of the resonator induces strong dispersion and dissipation of acoustic energy. The dispersion can significantly influence studied nonlinear interactions which are ineffective because the ...
Michal, Bednarik, Milan, Cervenka
openaire   +2 more sources

Nonlinear Elastic Problems

2017
We begin with a multi-layer composite material, composed of interacting components \({{\varOmega }^{(1)}}\) and \({{\varOmega }^{(2)}}\) (Fig. 8.1).
Igor V. Andrianov, Jan Awrejcewicz, Vladyslav V. Danishevskyy   +2 more
openaire   +1 more source

Nonlinear elasticity in nanostructured materials

Reports on Progress in Physics, 2011
We elaborate on a blended continuum/atomistic theoretical picture of the nonlinear elastic properties of nanostructured materials, looking at diverse aspects such as dispersions of inhomogeneities within a matrix, random or graded nanograined materials, two-dimensional atomic sheets.
COLOMBO, LUCIANO, GIORDANO S.
openaire   +3 more sources

Nonlinear Elastic Shapes

2020
Most engineering structures are purposely built to be stiff so that typically the only source of nonlinear displacements is associated with the out-of-plane deflections in thin-walled flexible structures as discussed in Chap. 2. The situations of primary concern to us in structural statics (especially when analyzing light-weight structures) are when ...
openaire   +1 more source

Theory of Elasticity

Petroleum Rock Mechanics, 2019
B. Aadnøy, R. Looyeh
semanticscholar   +1 more source

Convexity conditions and existence theorems in nonlinear elasticity

, 1976
J. Ball
semanticscholar   +1 more source