Analysis of energetic models for rate-independent materials. (English) Zbl 1018.74007
Li, Ta Tsien (ed.) et al., Proceedings of the international congress of mathematicians, ICM 2002, Beijing, China, August 20-28, 2002. Vol. III: Invited lectures. Beijing: Higher Education Press. 817-828 (2002).
The author considers rate-independent models which are defined via two functionals: the time-dependent energy-storage functional, and the dissipation distance. An abstract framework for finding solutions of the problem is given. It involves time discretization where each incremental problem is a global minimization problem. The first application treats shape-memory alloys, while the second describes the delamination of bodies glued together. The third application treats finite-strain plasticity.
For the entire collection see [Zbl 0993.00023].
For the entire collection see [Zbl 0993.00023].
Reviewer: N.Cristescu (Gainesville)
MSC:
| 74C15 | Large-strain, rate-independent theories of plasticity (including nonlinear plasticity) |
| 74G65 | Energy minimization in equilibrium problems in solid mechanics |
