Energy theorems and bounds in linearized elasticity with residual stress

Residual stress is the stress present in a fixed reference placement in which the body is at rest in the absence of external forces. In this work, residual stress is viewed as constitutive information so as to develop nondestructive mechanical tests that provide information about the residual stress fields in bodies that respond in a linearly elastic manner to small deformations from the residually stressed state. In order to construct the necessary background, a number of results from classical linear elastostatics are modified to include the presence of residual stress. Among these results are the Principles of Minimum Potential Energy and Minimum Complementary Energy. These minimum principles are used to derive a bound on the residual stress in terms of experimental data plus solutions to classical problems which correspond to the experiment.

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

• Abatt, F. George

Contributors dc:contributor

• Carlson, Donald E.

• Applied Mechanics

Statement dc:rights

• Copyright 1994 Abatt, F. George

Language dc:language

eng

Identifier

AAI9416332
(UMI)AAI9416332

OAI identifier oai:identifier

oai:www.ideals.illinois.edu:2142/19142