Continuum mechanical and computational aspects of material behavior

Fried, Eliot ; Gurtin, Morton E.

Department of Theoretical and Applied Mechanics, University of Illinois at Urbana-Champaign, Urbana, IL (United States)

关键词: Cracks;    Fractures;    75 Condensed Matter Physics, Superconductivity And Superfluidity;    Plasticity;    Free Energy;   

DOI  :  10.2172/811358
RP-ID  :  None
RP-ID  :  FG02-97ER25317
RP-ID  :  811358

美国|英语

来源: UNT Digital Library

【 摘 要 】

The focus of the work is the application of continuum mechanics to materials science, specifically to the macroscopic characterization of material behavior at small length scales. The long-term goals are a continuum-mechanical framework for the study of materials that provides a basis for general theories and leads to boundary-value problems of physical relevance, and computational methods appropriate to these problems supplemented by physically meaningful regularizations to aid in their solution. Specific studies include the following: the development of a theory of polycrystalline plasticity that incorporates free energy associated with lattice mismatch between grains; the development of a theory of geometrically necessary dislocations within the context of finite-strain plasticity; the development of a gradient theory for single-crystal plasticity with geometrically necessary dislocations; simulations of dynamical fracture using a theory that allows for the kinking and branching of cracks; computation of segregation and compaction in flowing granular materials.