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
In the science of physics, elasticity is the ability of a deformable body (e.g., steel, aluminum, ru...
Elasticity: Theory and Applications reviews the theory and applications of elasticity. The book is d...
Abstract. This article is devoted to some inverse problems arising in the context of linear elastici...
Some outstanding open problems of nonlinear elasticity are described. © 2005 Elsevier Ltd
Solvability and uniqueness of solutions to the problems of equilibrium, vibration and dynamics in a ...
Although the problem of stability and bifurcation is well understood in Mechanics, very few treatise...
We investigate some nonlinear problems in mechanics, which include the dynamic problem with nonlinea...
Numerical studies of the deformation near the tip of a crack are presented for a family of incompres...
A review is given on the progress in the study of general solutions of elasticity and their applicat...
This book addresses the modelling of mechanical waves by asking the right questions about them and t...
The physical noulinearity of the structures is examined in the elastic state. The problem is solved ...
A standard finite element method and a finite element trunca-tion method are applied to solve the bo...
This book presents theories of deformable elastic strings and rods and their application to broad cl...
Ph.D.MechanicsUniversity of Michigan, Horace H. Rackham School of Graduate Studieshttp://deepblue.li...
This book exposes a number of mathematical models for fracture of growing difficulty. All models are...
In the science of physics, elasticity is the ability of a deformable body (e.g., steel, aluminum, ru...
Elasticity: Theory and Applications reviews the theory and applications of elasticity. The book is d...
Abstract. This article is devoted to some inverse problems arising in the context of linear elastici...
Some outstanding open problems of nonlinear elasticity are described. © 2005 Elsevier Ltd
Solvability and uniqueness of solutions to the problems of equilibrium, vibration and dynamics in a ...
Although the problem of stability and bifurcation is well understood in Mechanics, very few treatise...
We investigate some nonlinear problems in mechanics, which include the dynamic problem with nonlinea...
Numerical studies of the deformation near the tip of a crack are presented for a family of incompres...
A review is given on the progress in the study of general solutions of elasticity and their applicat...
This book addresses the modelling of mechanical waves by asking the right questions about them and t...
The physical noulinearity of the structures is examined in the elastic state. The problem is solved ...
A standard finite element method and a finite element trunca-tion method are applied to solve the bo...
This book presents theories of deformable elastic strings and rods and their application to broad cl...
Ph.D.MechanicsUniversity of Michigan, Horace H. Rackham School of Graduate Studieshttp://deepblue.li...
This book exposes a number of mathematical models for fracture of growing difficulty. All models are...
In the science of physics, elasticity is the ability of a deformable body (e.g., steel, aluminum, ru...
Elasticity: Theory and Applications reviews the theory and applications of elasticity. The book is d...
Abstract. This article is devoted to some inverse problems arising in the context of linear elastici...