Variational Principles of Continuum Mechanics with Engineering Applications, Volume 2: Introduction to Optimal Design Theory - ISBN:9027726396

Variational Principles of Continuum Mechanics with Engineering Applications, Volume 2: Introduction to Optimal Design Theory

Date: 15 April 2011, 12:11

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The study of variational problems usually
starts with the optimization of some functional
J(f),where f belongs to a class of admissible
functions defined in a fixed region S^2 of a
Euclidean space and obeys certain a-priori
specified constraints. The problem of minimizing
J(f(x)), x e c, is equivalent to finding a soluution
f(x) to an equation L(f) = q where L is,
generally a differential operator and q is a
known function. More frequently problems modeled
by some differential equations are formulated in
a "variational form". Instead of "solving" a
differential system one can attempt to find a
function that assigns an extremal value to a
functional.
Series Editor's Preface
Introduction 1
Chapter 1 Changes of Coordinates and Variation of the Coefficients 5
Chapter 2 Group Theoretic methods with Applications to Continuum Mechanics and Noether's Theory 17
Chapter 3 Symmetry and Invariance 92
Chapter 4 Symmetry and Duality 153
Chapter 5 Design optimization 184
Chapter 6 Some Comments on Properties of the Sensitivity Function 249
Appendix A 260
Appendix B 265
Index 269

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