论文信息 - Nonlinear problems of elasticity

Nonlinear problems of elasticity

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

S. Antman

[1] Charles B. Morrey,et al. QUASI-CONVEXITY AND THE LOWER SEMICONTINUITY OF MULTIPLE INTEGRALS , 1952 .

[2] C. B. Morrey. Multiple Integrals in the Calculus of Variations , 1966 .

[3] J. Ball. Convexity conditions and existence theorems in nonlinear elasticity , 1976 .

[4] John E. Osborn,et al. The principle of virtual work and integral laws of motion , 1979 .

[5] P. G. Ciarlet,et al. Unilateral problems in nonlinear, three-dimensional elasticity , 1985 .

[6] Lawrence C. Evans,et al. Quasiconvexity and partial regularity in the calculus of variations , 1986 .

[7] T. Valent,et al. Boundary Value Problems of Finite Elasticity , 1988 .

[8] A. Mielke. Saint-Venant's problem and semi-inverse solutions in nonlinear elasticity , 1988 .

[9] P. Davies. Buckling and barrelling instabilities on non-linearly elastic columns , 1991 .

[10] V. Sverák,et al. Rank-one convexity does not imply quasiconvexity , 1992, Proceedings of the Royal Society of Edinburgh: Section A Mathematics.

[11] On the peculiarities of the loss of stability of a non-linear elastic rectangular bar , 1993 .

[12] Stefan Müller,et al. On a new class of elastic deformations not allowing for cavitation , 1994 .

[13] Robert V. Kohn,et al. Restrictions on microstructure , 1994, Proceedings of the Royal Society of Edinburgh: Section A Mathematics.