Antman Nonlinear Problems of Elasticity
Erscheinungsjahr 2013
ISBN: 978-1-4757-4147-6
Verlag: Springer US
Format: PDF
Kopierschutz: 1 - PDF Watermark
E-Book, Englisch, 752 Seiten, Web PDF
Reihe: Applied Mathematical Sciences
ISBN: 978-1-4757-4147-6
Verlag: Springer US
Format: PDF
Kopierschutz: 1 - PDF Watermark
Within the past few decades, there has been an accelerating development of methods for studying nonlinear equations. Nonlinear analysis offers exciting prospects for certain specific areas of nonlinear problems with continuum mechanics. The objective of this book is to carry out such studies for problems in nonlinear elasticity. This second edition is an enlarged, completely updated, and extensively revised version of the authoritative first edition. It is directed toward the scientist, engineer, and mathematician who wish to see careful treatments of precisely formulated problems. Each chapter contains a wealth of interesting, challenging, and tractable exercises.
Zielgruppe
Research
Autoren/Hrsg.
Weitere Infos & Material
I. Background.- II. The Equations of Motion for Extensible Strings.- III. Elementary Problems for Elastic Strings.- IV. Planar Equilibrium Problems for Elastic Rods.- V. Introduction to Bifurcation Theory and its Applications to Elasticity.- VI. Global Bifurcation Problems for Strings and Rods.- VII. Variational Methods.- VIII. The Special Cosserat Theory of Rods.- IX. Spatial Problems for Cosserat Rods.- X. Axisymmetric Equilibria of Cosserat Shells.- XI. Tensors.- XII. Three-Dimensional Continuum Mechanics.- XIII. Elasticity.- XIV. General Theories of Rods and Shells.- XV. Nonlinear Plasticity.- XVI. Dynamical Problems.- XVII. Appendix. Topics in Linear Analysis.- XVIII. Appendix. Local Nonlinear Analysis.- XIX. Appendix. Degree Theory.- References.
