Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Loss of ellipticity for non-coaxial plastic deformations in additive
  logarithmic finite strain plasticity   In this paper we consider the additive logarithmic finite strain plasticity
formulation from the view point of loss of ellipticity in elastic unloading. We
prove that even if an elastic energy $F\mapsto W(F)=\hat{W}(\log U)$ defined in
terms of logarithmic strain $\log U$, where $U=\sqrt{F^T\, F}$, is everywhere
rank-one convex as a function of $F$, the new function $F\mapsto
\widetilde{W}(F)=\hat{W}(\log U-\log U_p)$ need not remain rank-one convex at
some given plastic stretch $U_p$ (viz. $E_p^{\log}:=\log U_p$). This is in
complete contrast to multiplicative plasticity in which $F\mapsto W(F\,
F_p^{-1})$ remains rank-one convex at every plastic distortion $F_p$ if
$F\mapsto W(F)$ is rank-one convex. We show this disturbing feature with the
help of a recently considered family of exponentiated Hencky energies.

27
The categories of this paper are: comp-gas
9
The categories of this paper are: nlin
19
The categories of this paper are: eess
1
The categories of this paper are: cs
3
The categories of this paper are: physics
26
The categories of this paper are: bayes-an
8
The categories of this paper are: hep-ex
37
The categories of this paper are: supr-con
18
The categories of this paper are: econ
5
The categories of this paper are: gr-qc
22
The categories of this paper are: chao-dyn
20
The categories of this paper are: acc-phys
30
The categories of this paper are: q-alg
33
The categories of this paper are: plasm-ph
32
The categories of this paper are: atom-ph
34
The categories of this paper are: chem-ph