The research is concerned with geometric and computational aspects of modern nonlinear continuum mechanics, with special emphasis on inelasticity. From a fundamental standpoint: (i) the research will further explore the Hamiltonian structure of nonlinear elasticity, plates and shells; (ii) develop a general framework for nonlinear plasticity, which is physically motivated, mathematically well-posed and suitable for large-scale inelastic computation. On the numerical side, a basic objective is to develop computational methodologies suitable for a supercomputing environment. In particular, (iii) development of new algorithmic treatments for inelasticity which by-pass current limitations, such as the necessity for so-called incrementally objective algorithms. Finally, (iv) the research will use this methodology in applications concerned with bifurcation and localization problems.

Agency
National Science Foundation (NSF)
Institute
Division of Civil, Mechanical, and Manufacturing Innovation (CMMI)
Application #
8657740
Program Officer
Jerome Sackman
Project Start
Project End
Budget Start
1987-07-01
Budget End
1993-12-31
Support Year
Fiscal Year
1986
Total Cost
$312,000
Indirect Cost
Name
Stanford University
Department
Type
DUNS #
City
Palo Alto
State
CA
Country
United States
Zip Code
94304