The Mathematical Institute, University of Oxford, Eprints Archive

Some open problems in elasticity

Ball, J. M. (2002) Some open problems in elasticity. In: Geometry, Mechanics, and Dynamics. Springer-Verlag New York, New York, pp. 3-59. ISBN 0387955186

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Abstract

Some outstanding open problems of nonlinear elasticity are described. The problems range from questions of existence, uniqueness, regularity and stability of solutions in statics and dynamics to issues such as the modelling of fracture and self-contact, the status of elasticity with respect to atomistic models, the understanding of microstructure induced by phase transformations, and the passage from three-dimensional elasticity to models of rods and shells. Refinements are presented of the author's earlier work Ball [1984a] on showing that local minimizers of the elastic energy satisfy certain weak forms of the equilibrium equations.

Item Type:Book Section
Subjects:D - G > General
D - G > Dynamical systems and ergodic theory
Research Groups:Oxford Centre for Nonlinear PDE
ID Code:191
Deposited By:John Ball
Deposited On:26 Aug 2005
Last Modified:20 Jul 2009 14:19

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