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Description
Title: | Exponential Decay for the Saint-Venant Principle |
Author(s): | Wu, Jinn Wen |
Department / Program: | Mathematics |
Discipline: | Mathematics |
Degree Granting Institution: | University of Illinois at Urbana-Champaign |
Degree: | Ph.D. |
Genre: | Dissertation |
Subject(s): | Mathematics |
Abstract: | We consider a semi-infinite beam B = {(z,t)(VBAR)z(ELEM)(OMEGA), t (GREATERTHEQ) 0} where (OMEGA) is a bounded domain in (//R)('2) with the cone property and a C('3)-smooth boundary. By applying semigroup theory and spectral theory, we show that in our formulation Saint-Venant's principle is true for a class of stored energy functions of the type W = 1/2u('2) + Q(u(,,1),u(,,2)), where u is the displacement along the t-axis. By using the theory of stable manifolds, we also prove the existence of a mild solution for the associated traction boundary value problem in elastostatics. |
Issue Date: | 1984 |
Type: | Text |
Description: | 142 p. Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1984. |
URI: | http://hdl.handle.net/2142/71230 |
Other Identifier(s): | (UMI)AAI8502348 |
Date Available in IDEALS: | 2014-12-16 |
Date Deposited: | 1984 |
This item appears in the following Collection(s)
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Dissertations and Theses - Mathematics
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Graduate Dissertations and Theses at Illinois
Graduate Theses and Dissertations at Illinois