Mathematical Elasticity, Volume I: Three-Dimensional Elasticity - Brossura

Philippe G. Ciarlet (author)

Brossura

ISBN 10: 1611976774 ISBN 13: 9781611976779

Casa editrice: SIAM - Society for Industrial and Applied Mathematics, 2022

Riassunto

The Mathematical Elasticity set contains three self-contained volumes that together provide the only modern treatise on elasticity. They introduce contemporary research on three-dimensional elasticity, the theory of plates, and the theory of shells. Each volume contains proofs, detailed surveys of all mathematical prerequisites, and many problems for teaching and self-study. An extended preface and extensive bibliography have been added to each volume to highlight the progress that has been made since the original publication.

The first book, Three-Dimensional Elasticity, covers the modeling and mathematical analysis of nonlinear three-dimensional elasticity. In volume two, Theory of Plates, asymptotic methods provide a rigorous mathematical justification of the classical two-dimensional linear plate and shallow shell theories. The objective of Theory of Shells, the final volume, is to show how asymptotic methods provide a rigorous mathematical justification of the classical two-dimensional linear shell theories: membrane, generalized membrane, and flexural.

These classic textbooks are for advanced undergraduates, first-year graduate students, and researchers in pure or applied mathematics or continuum mechanics. They are appropriate for courses in mathematical elasticity, theory of plates and shells, continuum mechanics, computational mechanics, and applied mathematics in general.

Dettagli dell'edizione

• Editore: SIAM - Society for Industrial and Applied Mathematics
• Data di pubblicazione: 2022
• Lingua: Inglese
• ISBN 10: 1611976774
• ISBN 13: 9781611976779
• Rilegatura: Copertina flessibile
• Numero di pagine: 451
• Contatto del produttore: non disponibile
• Persona responsabile: non disponibile