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Minimizers for a One-Dimensional Elasticity Problem: Existence and Regularity Results without Convexity Assumptions - Softcover
Synopsis
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.
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About the Author
Dr. Maria Mercedes Franco received her Ph.D. in Applied Mathematics from Cornell University in 2005 (USA). She also holds an M.S. in Applied Mathematics from Cornell and a B.S. in Mathematics from Universidad del Valle (Colombia). Her research focuses on problems of nonlinear elasticity, calculus of variations, and numerical analysis.
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- PublisherLAP Lambert Academic Publishing
- Publication date2009
- ISBN 10 3838317114
- ISBN 13 9783838317113
- BindingPaperback
- LanguageEnglish
- Number of pages72
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Minimizers for a One-Dimensional Elasticity Problem
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LAP LAMBERT Academic Publishing Sep 2009, 2009
ISBN 10: 3838317114
ISBN 13: 9783838317113
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Seller: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Germany
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 72 pp. Englisch. Seller Inventory # 9783838317113
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Minimizers for a One-Dimensional Elasticity Problem : Existence and Regularity Results without Convexity Assumptions
Published by
LAP LAMBERT Academic Publishing, 2009
ISBN 10: 3838317114
ISBN 13: 9783838317113
New
Taschenbuch
Seller: AHA-BUCH GmbH, Einbeck, Germany
Seller rating 5 out of 5 stars
Taschenbuch. Condition: Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - 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. Seller Inventory # 9783838317113
Quantity: 1 available
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Minimizers for a One-Dimensional Elasticity Problem
Published by
LAP Lambert Academic Publishing, 2009
ISBN 10: 3838317114
ISBN 13: 9783838317113
New
Softcover
Seller: moluna, Greven, Germany
Seller rating 5 out of 5 stars
Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. 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 dif. Seller Inventory # 5412390
Quantity: Over 20 available