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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.
Existence and Regularity Results without Convexity Assumptions
Details
| Verlag | LAP LAMBERT Academic Publishing |
| Ersterscheinung | 26. September 2009 |
| Maße | 22 cm x 15 cm x 0.5 cm |
| Gewicht | 125 Gramm |
| Format | Softcover |
| ISBN-13 | 9783838317113 |
| Seiten | 72 |
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