Some Problems in the Mechanics of Solids with Phase Mixtures
Final rept. 1 Jun 1991-30 Nov 1992
MINNESOTA UNIV MINNEAPOLIS DEPT OF AEROSPACE ENGINEERING AND MECHANICS
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This project has concentrated almost entirely on non-convex minimization problems in nonlinear elasticity theory and the existence of deformation-induced microstructure under severe loading conditions. As the microstructure develops and becomes more dense with increasing loads, the material weakens and the body has a softer response. Our minimizing sequences predict this property. To complement our theoretical development, a large scale FEM code was implemented on the CM-200 machine. This code has a high refinement capability which allows us to study those regions of the body where the fine phase mixture occurs and the strain field becomes extremely irregular.... Solids, Minimization, Coexistent Phases, Microstructures.
- Physical Chemistry