WELL-POSEDNESS OF A ONE-DIMENSIONAL NONLINEAR KINEMATIC HARDENING MODEL

被引：1
作者：
Melching, David [1 ]
Stefanelli, Ulisse [1 ,2 ]
机构：
[1] Univ Vienna, Fac Math, Oskar Morgenstern Pl 1, A-1090 Vienna, Austria
[2] Ist Matemat Applicata & Tecnol Informat E Magenes, V Ferrata 1, I-27100 Pavia, Italy
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S | 2020年 / 13卷 / 08期
基金：
奥地利科学基金会;
关键词：
Elastoplasticity; hardening; well-posedness; hysteresis operator; doubly nonlinear; PLASTICITY; WELLPOSEDNESS; EXISTENCE;
D O I：
10.3934/dcdss.2020188
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We investigate the quasistatic evolution of a one-dimensional elastoplastic body at small strains. The model includes general nonlinear kinematic hardening but no nonlocal compactifying term. Correspondingly, the free energy of the medium is local but nonquadratic. We prove that the quasistatic evolution problem admits a unique strong solution.
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页码：2271 / 2284
页数：14
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