Mathematical results on the stability of quasi-static paths of elastic-plastic systems with hardening

被引：0
|
作者：
Petrov, A. [1 ]
Martins, J. A. C. [2 ,3 ]
Marques, M. D. P. Monteiro [4 ,5 ]
机构：
[1] Weierstrass Inst Angew Anal & Stochast, Mohrenstr 39, D-10117 Berlin, Germany
[2] Inst Super Tecn, Dept Engn Civil, P-1049001 Lisbon, Portugal
[3] Inst Super Tecn, ICIST, P-1049001 Lisbon, Portugal
[4] Ctr Matemat & Aplicacoes Fundamentais, P-1649003 Lisbon, Portugal
[5] FCUL, P-1649003 Lisbon, Portugal
来源：
TOPICS ON MATHEMATICS FOR SMART SYSTEMS | 2007年
关键词：
differential inclusions; plasticity; hardening; existence; stability;
D O I：
10.1142/9789812706874_0012
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
In this paper, existence and uniqueness results for a class of dynamic and quasi-static problems with elastic-plastic systems are recalled, and a stability result is obtained for the quasi-static paths of those systems. The studied elastic-plastic systems are continuum 1D (bar) systems that have linear hardening, and the concept of stability of quasi-static paths used here takes into account the existence of fast (dynamic) and slow (quasi-static) times scales in the system. That concept is essentially a continuity property relatively to the size of the initial perturbations (as in Lyapunov stability) and relatively to the smallness of the rate of application of the forces (which plays here the role of the small parameter in singular perturbation problems).
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页码：167 / +
页数：2
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