Symmetry classes for elasticity tensors
S Forte, M Vianello - Journal of Elasticity, 1996 - Springer
Symmetry classes for elasticity tensors Page 1 JournalofElasticity 43: 81-108, 1996. 81 © 1996
KluwerAcademic Publishers. Printed in the Netherlands. Symmetry Classes for Elasticity …
KluwerAcademic Publishers. Printed in the Netherlands. Symmetry Classes for Elasticity …
The closest elastic tensor of arbitrary symmetry to an elasticity tensor of lower symmetry
The closest tensors of higher symmetry classes are derived in explicit form for a given
elasticity tensor of arbitrary symmetry. The mathematical problem is to minimize the elastic …
elasticity tensor of arbitrary symmetry. The mathematical problem is to minimize the elastic …
On the averaging of symmetric positive-definite tensors
M Moakher - Journal of Elasticity, 2006 - Springer
In this paper we present properly invariant averaging procedures for symmetric positive-
definite tensors which are based on different measures of nearness of symmetric positive …
definite tensors which are based on different measures of nearness of symmetric positive …
[HTML][HTML] Coupling systems biology with multiscale mechanics, for computer simulations of bone remodeling
Bone remodeling is a process involving removal of mature bone tissue and subsequent
formation of new bone tissue. This process is driven by complex actions of biological cells …
formation of new bone tissue. This process is driven by complex actions of biological cells …
Mathematical modeling of the elastic properties of cubic crystals at small scales based on the Toupin–Mindlin anisotropic first strain gradient elasticity
In this work, a mathematical modeling of the elastic properties of cubic crystals with
centrosymmetry at small scales by means of the Toupin–Mindlin anisotropic first strain …
centrosymmetry at small scales by means of the Toupin–Mindlin anisotropic first strain …
Geometrical foundations of continuum mechanics
P Steinmann - Lecture Notes in Applied Mathematics and Mechanics, 2015 - Springer
The kinematics of geometrically nonlinear continuum mechanics is deeply rooted in
differential geometry. An appreciation thereof is thus particularly illuminating. This is …
differential geometry. An appreciation thereof is thus particularly illuminating. This is …
Micromechanics-based conversion of CT data into anisotropic elasticity tensors, applied to FE simulations of a mandible
C Hellmich, C Kober, B Erdmann - Annals of biomedical engineering, 2008 - Springer
Computer Tomographic (CT) image data have become a standard basis for structural
analyses of bony organs. In this context, regression functions between stiffness components …
analyses of bony organs. In this context, regression functions between stiffness components …
On the theory of fourth-order tensors and their applications in computational mechanics
M Itskov - Computer Methods in Applied Mechanics and …, 2000 - Elsevier
Many problems concerned with the mathematical treatment of fourth-order tensors still
remain open in the literature. In the present paper they will be considered in the framework …
remain open in the literature. In the present paper they will be considered in the framework …
[HTML][HTML] 3D strain gradient elasticity: Variational formulations, isogeometric analysis and model peculiarities
This article investigates the theoretical and numerical analysis as well as applications of the
three-dimensional theory of first strain gradient elasticity. The corresponding continuous and …
three-dimensional theory of first strain gradient elasticity. The corresponding continuous and …
Micromechanics of ITZ–aggregate interaction in concrete part I: stress concentration
At the macroscopic scale, concrete appears as a composite made of a cement paste matrix
with embedded aggregates. The latter are covered by interfacial transition zones (ITZs) of …
with embedded aggregates. The latter are covered by interfacial transition zones (ITZs) of …