Concentrations;
energetic solution;
energies with linear growth;
oscillations;
relaxation;
OSCILLATIONS;
BEHAVIOR;
MODELS;
D O I:
10.1051/cocv:2008060
中图分类号:
TP [自动化技术、计算机技术];
学科分类号:
0812 ;
摘要:
Rate-independent problems are considered, where the stored energy density is a function of the gradient. The stored energy density may not be quasiconvex and is assumed to grow linearly. Moreover, arbitrary behaviour at infinity is allowed. In particular, the stored energy density is not required to coincide at infinity with a positively 1-homogeneous function. The existence of a rate-independent process is shown in the so-called energetic formulation.
机构:
Univ Versailles St Quentin En Yvelines, Lab Math Versailles, F-78085 Versailles, FranceUniv Versailles St Quentin En Yvelines, Lab Math Versailles, F-78085 Versailles, France
机构:
Charles Univ Prague, Fac Math & Phys, Dept Math Anal, Sokolovska 83, Prague 18675 8, Czech RepublicCharles Univ Prague, Fac Math & Phys, Dept Math Anal, Sokolovska 83, Prague 18675 8, Czech Republic