Proceedings of the IUTAM Symposium on Finite Elasticity: "Held at Lehigh University, Bethlehem, PA, USA August 10-15, 1980"

Although finite elasticity theory has its roots in the nineteenth century, its development was largely neglected until the end of the Second World War. Since then it has attracted a substantial amount of attention and considerable progress has been made both in our understanding of the basis of the subject and in its applications. It occurred to me about three years ago that finite elasticity had reached a level of development at which an international symposium on the subject was overdue. Accordingly, with strong encouragement from Professor P. M. Naghdi and numerous other colleagues, I submitted to the International Union of Theoretical and Applied Mechanics a proposal for their support of such a symposium to be held at Lehigh University during the period August 10-15, 1980. The proposal received enthusiastic support from the International Union and an international scientific committee under my chairmanship, consisting of Professors G. Fichera (Rome), W. T. Koiter (Delft), L. I. Sedov (Moscow), and A. J. M. Spencer (Nottingham), was assigned responsibility for the scientific program. In constructing the program we aimed at as broad a coverage as possible of the many aspects of the subject on which significant progress is currently being made. These range from theoretical studies of existence and uniqueness of solutions of the governing equations of finite elasticity theory to experimental studies of its application to such problems as tear resistance and friction in vulcanized rubbers. Front Matter....Pages i-vii Existence of Solutions in Finite Elasticity....Pages 1-12 Elastic Stability, Buckling and Post-Buckling Behaviour....Pages 13-24 Mechanics of Fracture of Rubber-Like Materials....Pages 25-45 Finite Deformation of Elastic Rods and Shells....Pages 47-103 Some Thoughts on Material Stability....Pages 105-122 Two-Dimensional Approximations of Three-Dimensional Models in Nonlinear Plate Theory....Pages 123-141 On Non-Universal Finite Elastic Deformations....Pages 143-150 Non-Linear Boundary Value Problem in Thermoelasticity....Pages 151-165 Changes in Symmetry in Elastic Crystals....Pages 167-177 A Variational Approach to Finite Elasticity....Pages 179-189 On Uniqueness in Finite Elasticity....Pages 191-199 On Physical and Material Conservation Laws....Pages 201-209 Finite Deformation of Thick-Walled Inner Tubes and Tyres Under Inflation and Rotation....Pages 211-236 Finite Strain J 2 Deformation Theory....Pages 237-247 Instability of Finite Amplitude Elastic Waves....Pages 249-255 Localized Shear Near The Tip of a Crack in Finite Elastostatics....Pages 257-268 Stress-Strain-Temperature Curves in Pseudoelastic Bodies....Pages 269-280 Penalty Methods for Constrained Problems in Nonlinear Elasticity....Pages 281-300 Deformation and Vibration of Rotating Elastic Cylinders....Pages 301-304 Boundary Integral Equations for Inextensible Materials....Pages 305-318 Stability of a Thick Neo-Hookean Plate....Pages 319-330 Finite Extension and Torsion of Thin Elastic Strips....Pages 331-346 Growth as A Finite Displacement Field....Pages 347-355 Stress Concentration Layers in Finite Deformation of Fibre-Reinforced Elastic Materials....Pages 357-377 Incremental Methods in Finite Elasticity, Especially for Rods....Pages 379-400 Local Theorems of Existence and Uniqueness in Finite Elastostatics....Pages 401-421 Nonlinear Waves in Rods....Pages 423-443 The Strain-Energy Function for Rubber-Like Materlials....Pages 445-455 Back Matter....Pages 457-460