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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


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