Minimizers for a One-Dimensional Elasticity Problem
Existence and Regularity Results without Convexity Assumptions
Paperback
Lieferzeit: Print on Demand - Lieferbar innerhalb von 3-5 Werktagen I
ISBN-13:
9783838317113
Veröffentl:
2009
Einband:
Paperback
Erscheinungsdatum:
26.09.2009
Seiten:
72
Autor:
Maria Mercedes Franco
Gewicht:
125 g
Format:
220x150x5 mm
Sprache:
Englisch
Beschreibung:
We study a class of problems in forced phase transitions in one-dimensional, shape-memory solids. The problems incorporate a prescribed body force B which delivers live loading and a non- convex stored energy function of the strain W. The continuity and differentiability requirements over W and B are standard. Assuming that B is concave and under mild growth conditions on W and B, we obtained existence of minimizers for the functional in the problems posed. Then we showed that the minimizers satisfy the Euler-Lagrange equations of equilibrium almost everywhere.