Overview
- Contains original results in generalized continua theory and in fracture theory
- Gives an advanced review in many important topics
- Will be an essential tool for young researchers intending to start their researchers in the field
Part of the book series: CISM International Centre for Mechanical Sciences (CISM, volume 535)
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Table of contents (7 chapters)
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Front Matter
Keywords
About this book
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.
Editors and Affiliations
Bibliographic Information
Book Title: Variational Models and Methods in Solid and Fluid Mechanics
Editors: Francesco dell’Isola, Sergey Gavrilyuk
Series Title: CISM International Centre for Mechanical Sciences
DOI: https://doi.org/10.1007/978-3-7091-0983-0
Publisher: Springer Vienna
eBook Packages: Engineering, Engineering (R0)
Copyright Information: Springer-Verlag GmbH Wien 2011
Hardcover ISBN: 978-3-7091-0982-3Published: 01 December 2011
Softcover ISBN: 978-3-7091-1756-9Published: 01 March 2014
eBook ISBN: 978-3-7091-0983-0Published: 15 January 2012
Series ISSN: 0254-1971
Series E-ISSN: 2309-3706
Edition Number: 1
Number of Pages: IX, 358
Topics: Theoretical and Applied Mechanics, Calculus of Variations and Optimal Control; Optimization, Classical Mechanics