Design and analysis of transient nonlinear coupled systems

Techniques for efficient and systematic design and analysis of transient nonlinear coupled problems are presented. This class of problems includes systems with history dependent material response, e.g. plasticity. The traditional finite element analysis is combined with sensitivity analysis and numerical optimization to obtain a systematic design algorithm. Sensitivities for a generalized response function are formulated with respect to design parameters, i.e. shape, applied loads, prescribed initial and boundary conditions, and material properties. The generalized response functional depends on the design parameters both explicitly and implicitly through the system's response, e.g. temperature, heat flux, displacement, plastic hardening, stress, strain and reaction forces. Analytic sensitivities are formulated via both the direct differentiation and adjoint methods. The formulations are particularized to the case of rate-independent elasto-plasticity. Analytic sensitivities for weakly coupled thermo-elasto-plastic systems are computed with the finite element method by implementing the direct differentiation method.

Name thesis:degree_name

Ph.D.

Level thesis:degree_level

Dissertation

Discipline thesis:degree_discipline

Theoretical and Applied Mechanics

Grantor

University of Illinois at Urbana-Champaign

Year dc:date

2011

Author dc:creator

• Michaleris, Panagiotis

Contributors dc:contributor

• Tortorelli, Daniel A.

• Applied Mechanics
• Engineering, Mechanical

Statement dc:rights

• Copyright 1994 Michaleris, Panagiotis

Language dc:language

eng

Identifier

AAI9416407
(UMI)AAI9416407

OAI identifier oai:identifier

oai:www.ideals.illinois.edu:2142/19331