AHA-BUCH

Minimizers for a One-Dimensional Elasticity Problem

Existence and Regularity Results without Convexity Assumptions
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ISBN-13:
9783838317113
Einband:
Paperback
Seiten:
72
Autor:
Maria Mercedes Franco
Gewicht:
124 g
Format:
220x150x4 mm
Sprache:
Englisch
Beschreibung:

99
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.