Energy theorems and bounds in linearized elasticity with residual stress

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https://hdl.handle.net/2142/19142

Title: Energy theorems and bounds in linearized elasticity with residual stress
Author(s): Abatt, F. George
Issue Date: 1994
Doctoral Committee Chair(s): Carlson, Donald E.
Department of Study: Mechanical Science and Engineering
Discipline: Theoretical and Applied Mechanics
Degree Granting Institution: University of Illinois at Urbana-Champaign
Degree Name: Ph.D.
Degree Level: Dissertation
Keyword(s): Applied Mechanics
Language: eng
Abstract: 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.
Type of Resource: text
Permalink: http://hdl.handle.net/2142/19142

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