TY  - RPRT
A1  - Lang, H.
A1  - Bitsch, G.
A1  - Dreßler, K.
A1  - Speckert, M.
T1  - Comparison of the solutions of the elastic and elastoplastic boundary value problems
N2  - In this article, we consider the quasistatic boundary value problems of linear elasticity and nonlinear elastoplasticity, with linear Hooke’s law in the elastic regime for both problems and with the linear kinematic hardening law for the plastic regime in the latter problem. We derive expressions and estimates for the difference of the solutions of both models, i.e. for the stresses, the strains and the displacements. To this end, we use the stop and play operators of nonlinear functional analysis. Further, we give an explicit example of a homotopy between the solutions of both problems.
T3  - Berichte des Fraunhofer-Instituts für Techno- und Wirtschaftsmathematik (ITWM Report) - 99 
KW  - Elastic BVP
KW  - elastoplastic BVP
KW  - variational inequalities
KW  - rate-indepenhysteresis
KW  - linear kinematic hardening
KW  - stop- and play-operator
KW  - Elastic BVP
KW  - elastoplastic BVP
KW  - variational inequalities
KW  - rate-indepenhysteresis
KW  - linear kinematic hardening
KW  - stop- and play-operator
Y1  - 2006
UR  - https://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/1804
UR  - https://nbn-resolving.org/urn:nbn:de:hbz:386-kluedo-14620
ER  -