Mechanics of Solids

The Linear Theory of Viscoelasticity.- A. Introduction.- B. Foundations of the linear theory.- C. Quasi-static linear viscoelasticity.- D. Dynamic linear viscoelasticity.- References.- Theory of Elastic Stability.- A. Introduction.- B. Abstract dynamical systems.- C. Definitions of stability.- D. Stability theorems for abstract dynamical systems.- E. Eigenfunction analyses.- F. Stability of elastic bodies.- G. Liapounov functions for finite thermoelasticity.- H. Liapounov stability in the class of non-linear perturbations.- I. The energy criterion for stability.- J. Stability for a fixed surface and under dead loads in the class of small incremental displacements.- K. Stability under dead surface loads in the class of small incremental displacements.- L. Instability under dead surface loads from the equations of linear incremental displacement.- M. Logarithmic convexity.- N. Extension of stability analysis for traction boundary conditions.- O. Stability in special traction boundary value problems.- P. Stability in the class of linear thermoelastic displacements under dead loads.- Q. Classification of stability problems with non-dead loading.- R. Stability under weakly conservative loads.- S. Stability with time-dependent and position-dependent data.- T. Stability under follower forces.- U. Dissipative forces.- References.- Growth and Decay of Waves in Solids.- I. Introduction.- II. Preliminaries.- III. Acceleration waves in elastic bodies.- IV. One dimensional waves in bodies of material with memory.- V. One dimensional waves in elastic bodies.- VI. One dimensional waves in elastic non-conductors of heat.- VII. One dimensional waves in inhomogeneous elastic bodies.- References.- Ideal Plasticity.- A. The basic equations.- B. Plane problems.- C. The general plane problem.- D. Boundary-value problems.- Some reference books.- Topics in the Mathematical Theory of Plasticity.- A. Introduction.- B. Foundation of the theory.- C. General theorems.- D. Torsion problems.- References.- Namenverzeichnis - Author Index.- Sachverzeichnis (Deutsch-Englisch).- Subject Index (English-German).