Variational Models and Methods in Solid and Fluid Mechanics

. Ed(s): Dell'Isola, Francesco; Gavrilyuk, Sergey

ISBN 10: 3709117569 / ISBN 13: 9783709117569

Verlag: Springer Verlag GmbH, 2014

This book presents three fundamental aspects of the variational formulation of mechanics: physical, mathematical and applicative ones. Advises on choosing the most suitable formulation, and applies variational analysis directly to real engineering problems. Editor(s): Dell'Isola, Francesco; Gavrilyuk, Sergey. Series: CISM International Centre for Mechanical Sciences. Num Pages: 358 pages, biography. BIC Classification: PBKQ; PHD; TGMD. Category: (P) Professional & Vocational. Dimension: 235 x 155 x 23. Weight in Grams: 563. . 2014. Paperback. . . . . Books ship from the US and Ireland. Bestandsnummer des Verkäufers V9783709117569

Inhaltsangabe:

F. dell'Isola, L. Placidi: Variational principles are a powerful tool also for formulating field theories. - F. dell'Isola, P. Seppecher, A. Madeo: Beyond Euler-Cauchy Continua. The structure of contact actions in N-th gradient generalized continua: a generalization of the Cauchy tetrahedron argument. - B. Bourdin, G.A. Francfort: Fracture. - S. Gavrilyuk: Multiphase flow modeling via Hamilton's principle. - V. L. Berdichevsky: Introduction to stochastic variational problems. - A. Carcaterra: New concepts in damping generation and control: theoretical formulation and industrial applications. - F. dell'Isola, P. Seppecher, A. Madeo: Fluid shock wave generation at solid-material discontinuity surfaces in porous media.

Variational methods give an efficient and elegant way to formulate and solve mathematical problems that are of interest to scientists and engineers. In this book three fundamental aspects of the variational formulation of mechanics will be presented: physical, mathematical and applicative ones.
The first aspect concerns the investigation of the nature of real physical problems with the aim of finding the best variational formulation suitable to those problems. The second aspect is the study of the well-posedeness of those mathematical problems which need to be solved in order to draw previsions from the formulated models. And the third aspect is related to the direct application of variational analysis to solve real engineering problems.

Von der hinteren Coverseite: Variational methods give an efficient and elegant way to formulate and solve mathematical problems that are of interest to scientists and engineers. In this book three fundamental aspects of the variational formulation of mechanics will be presented: physical, mathematical and applicative ones.
The first aspect concerns the investigation of the nature of real physical problems with the aim of finding the best variational formulation suitable to those problems. The second aspect is the study of the well-posedeness of those mathematical problems which need to be solved in order to draw previsions from the formulated models. And the third aspect is related to the direct application of variational analysis to solve real engineering problems.

Bibliografische Details

Titel: Variational Models and Methods in Solid and ...
Verlag: Springer Verlag GmbH
Erscheinungsdatum: 2014
Einband: Softcover
Zustand: New