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

ISBN-13: 9789400975408 / Angielski / Miękka / 2011 / 468 str.

Donald E. Carlson; R. T. Shield

Opis

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.

Spis treści

General Lectures.- Existence of solutions in finite elasticity.- Elastic stability, buckling and post-buckling behavior.- Mechanics of fracture of rubber-like materials.- Finite deformation of elastic rods and shells.- Some thoughts on material stability.- Invited Papers.- Two-dimensional approximations of three-dimensional models in nonlinear plate theory.- On non-universal finite elastic deformations.- Non-linear boundary value problem in thermoelasticity.- Changes in symmetry in elastic crystals.- A variational approach to finite elasticity.- On uniqueness in finite elasticity.- On physical and material conservation laws.- Finite deformation of thick-walled inner tubes and tyres under inflation and rotation.- Finite strain J2 deformation theory.- Instability of finite amplitude elastic waves.- Localized shear near the tip of a crack in finite elastostatics.- Stress-strain-temperature curves in pseudoelastic bodies.- Penalty methods for constrained problems in nonlinear elasticity.- Deformation and vibration of rotating elastic cylinders.- Boundary integral equations for inextensible materials.- Stability of a thick neo-Hookean plate.- Finite extension of torsion of thin elastic strips.- Growth as a finite displacement field.- Stress concentration layers in finite deformation of fibre-reinforced elastic materials.- Incremental methods in finite elasticity, especially for rods.- Local theorems of existence and uniqueness in finite elastostatics.- Nonlinear waves in rods.- The strain-energy function for rubber-like materials.- List of Participants.