Variational Models and Methods in Solid and Fluid Mechanics

✍ Scribed by Francesco dell’Isola, Luca Placidi (auth.), Francesco dell’Isola, Sergey Gavrilyuk (eds.)

• Publisher: Springer-Verlag Wien
• Year: 2012
• Tongue: English
• Leaves: 362
• Series: CISM Courses and Lectures 535
• Edition: 1
• Category: Library

✦ Synopsis

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.

✦ Table of Contents

Front Matter....Pages i-ix
Variational principles are a powerful tool also for formulating field theories....Pages 1-15
Beyond Euler-Cauchy Continua: The structure of contact actions in N-th gradient generalized continua: a generalization of the Cauchy tetrahedron argument....Pages 17-106
Fracture....Pages 107-161
Multiphase Flow Modeling via Hamilton’s Principle....Pages 163-210
Introduction to stochastic variational problems....Pages 211-247
New concepts in damping generation and control: theoretical formulation and industrial applications....Pages 249-313
Fluid Shock Wave Generation at Solid-Material Discontinuity Surfaces in Porous Media....Pages 315-358

✦ Subjects

Theoretical and Applied Mechanics;Calculus of Variations and Optimal Control;Optimization;Mechanics