Nonlinear problems of elasticity / Stuart S. Antman.

Author
Antman, S. S. (Stuart S.) [Browse]
Format
Book
Language
English
Εdition
2nd ed.
Published/​Created
New York : Springer, [2005], ©2005.
Description
xviii, 831 pages : illustrations ; 25 cm.

Details

Subject(s)
Series
  • Applied mathematical sciences (Springer-Verlag New York Inc.) ; v. 107. [More in this series]
  • Applied mathematical sciences ; v. 107
Summary note
"This second edition is an enlarged, completely updated, and extensively revised version of the authoritative first edition. It is devoted to the detailed study of illuminating specific problems of nonlinear elasticity, directed toward the scientist, engineer, and mathematician who wish to see careful treatments of precisely formulated problems. Special emphasis is placed on the role of nonlinear material response. The mathematical tools from nonlinear analysis are given self-contained presentations where they are needed."--BOOK JACKET.
Bibliographic references
Includes bibliographical references (p. [781]-818) and index.
Contents
  • Ch. 1. Background
  • Ch. 2. The equations of motion for extensible strings
  • Ch. 3. Elementary problems for elastic strings
  • Ch. 4. Planar steady-state problems for elastic rods
  • Ch. 5. Introduction to bifurcation theory and its applications to elasticity
  • Ch. 6. Global bifurcation problems for strings and rods
  • Ch. 7. Variational methods
  • Ch. 8. Theory of rods deforming in space
  • Ch. 9. Spatial problems for rods
  • Ch. 10. Axisymmetric equilibria of shells
  • Ch. 11. Tensors
  • Ch. 12. 3-dimensional continuum mechanics
  • Ch. 13. 3-dimensional theory of nonlinear elasticity
  • Ch. 14. Problems in nonlinear elasticity
  • Ch. 15. Large-strain plasticity
  • Ch. 16. General theories of rods
  • Ch. 17. General theories of shells
  • Ch. 18. Dynamical problems
  • Ch. 19. Appendix : topics in linear analysis
  • Ch. 20. Appendix : local nonlinear analysis
  • Ch. 21. Appendix : degree theory and its applications.
ISBN
0387208801 (acid-free paper)
LCCN
2004045075
OCLC
54543518
RCP
C - S
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