Author | Panagiotopoulos, P. D. author |
---|---|
Title | Inequality Problems in Mechanics and Applications [electronic resource] : Convex and Nonconvex Energy Functions / by P. D. Panagiotopoulos |
Imprint | Boston, MA : Birkhรคuser Boston, 1985 |
Connect to | http://dx.doi.org/10.1007/978-1-4612-5152-1 |
Descript | XX, 412 p. online resource |
1. Introductory Topics -- 1. Essential Notions and Propositions of Functional Analysis -- 2. Elements of Convex Analysis -- 2. Inequality Problems -- 3. Variational Inequalities and Superpotentials -- 4. Variational Inequalities and Multivalued Convex and Nonconvex Problems in Mechanics -- 5. Friction Problems in the Theory of Elasticity -- 6. Subdifferential Constitutive Laws and Boundary Conditions -- 7. Inequality Problems in the Theory of Thin Elastic Plates -- 8. Variational and Hemivariational Inequalities in Linear Thermoelasticity -- 9. Variational Inequalities in the Theory of Plasticity and Viscoplasticity -- 3. Numerical Applications -- 10. The Numerical Treatment of Static Inequality Problems -- 11. Incremental and Dynamic Inequality Problems -- Epilogue -- Appendices -- Appendix I. Some Basic Notions [20] [112] [321] [322] -- Appendix II. Rigidifying Velocity Fields. Objectivity [112] [197] [322] -- Appendix III. Dissipation [112]. -- Appendix IV. Plasticity and Thermodynamics [75] [196] -- List of Notations -- References