The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
It is noted that the examples provided in the paper "Two-dimensional examples of rank-one convex functions that are not quasiconvex" by M. K. Benaouda and J. J. Telega, Ann. Polon. Math. 73 (2000), 291-295, contain unrecoverable errors.
Let be the plastic deformation from the multiplicative decomposition in elasto-plasticity. We show that the geometric dislocation density tensor of Gurtin in the form applied to rotations controls the gradient in the sense that pointwise . This result complements rigidity results [Friesecke, James and Müller, Comme Pure Appl. Math. 55 (2002) 1461–1506; John, Comme Pure Appl. Math. 14 (1961) 391–413; Reshetnyak, Siberian Math. J. 8 (1967) 631–653)] as well as an associated linearized theorem...
Let be the plastic deformation from the multiplicative decomposition in elasto-plasticity. We show that the geometric dislocation density tensor of Gurtin in the form applied to rotations controls the gradient in the sense that pointwise
.
This result complements rigidity results
[Friesecke, James and Müller,
(2002) 1461–1506; John,
(1961) 391–413; Reshetnyak,
(1967) 631–653)] as well as an associated linearized theorem saying that
.
We consider linear elliptic systems which arise in coupled elastic continuum mechanical models. In these systems, the strain tensor
:= sym (
∇) is redefined to include a matrix valued inhomogeneity () which cannot be described by a space dependent fourth order elasticity tensor. Such systems arise naturally in geometrically exact plasticity or in problems with eigenstresses. The tensor field induces a structural change of the elasticity equations. For such a model...
We consider linear elliptic systems which arise
in coupled elastic continuum mechanical models. In these systems, the strain
tensor
:= sym (
∇) is redefined to include a
matrix valued inhomogeneity () which cannot be described by a space
dependent fourth order elasticity tensor. Such systems arise naturally in
geometrically exact plasticity or in problems with eigenstresses.
The tensor field induces a structural change of the elasticity equations. For
such a model...
Download Results (CSV)