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Library | Item Barcode | Call Number | Material Type | Item Category 1 | Status |
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Searching... | 30000010138504 | QA931 A57 2005 | Open Access Book | Book | Searching... |
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Summary
Summary
During the nine years since the publication of the ?rst edition of this book, therehasbeensubstantialprogressonthetreatmentofwell-setpr- lemsofnonlinearsolidmechanics. Themainpurposesofthissecondedition are to update the ?rst edition by giving a coherent account of some of the new developments, to correct errors, and to re?ne the exposition. Much of the text has been rewritten, reorganized, and extended. The philosophy underlying my approach is exactly that given in the following (slightly modi?ed) Preface to the First Edition. In particular, I continue to adhere to my policy of eschewing discussions relying on tech- cal aspects of theories of nonlinear partial di?erential equations (although I give extensive references to pertinent work employing such methods). Thus I intend that this edition, like the ?rst, be accessible to a wide circle of readers having the traditional prerequisites given in Sec. 1.2. I welcome corrections and comments, which can be sent to my electronic mail address: ssa@math.umd.edu. In due time, corrections will be placed on my web page: http://www.ipst.umd.edu/Faculty/antman.htm.
Table of Contents
Preface |
Chapter 1 Background |
Chapter 2 The Equations of Motion for Extensible Strings |
Chapter 3 Elementary Problems for Elastic Strings |
Chapter 4 Planar Steady-State Problems for Elastic Rods |
Chapter 5 Introduction to Bifurcation Theory and it's Applications to Elasticity |
Chapter 6 Global Bifurcation Problems for Strings and Rods |
Chapter 7 Variational Methods |
Chapter 8 Theory of Rods Deforming in Space |
Chapter 9 Spatial Problems for Rods |
Chapter 10 Axisymmetric Equilibria of Shells |
Chapter 11 Tensors |
Chapter 12 3-Dimensional Continuum |
Chapter 13 3-Dimensional Theory of Nonlinear Elasticity |
Chapter 14 Problems in Nonlinear Elasticity |
Chapter 15 Large-Strain Plasticity |
Chapter 16 General Theories of Rods |
Chapter 17 General Theories of Shells |
Chapter 18 Dynamical Problems |
Chapter 19 Appendix: Topics in Linear Analysis |
Chapter 20 Appendix: Local Nonlinear Analysis |
Chapter 21 Appendix: Degree Theory and it's Applications |
References |
Index |