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Wu, Jinn Wen 2014-12-16T06:18:12Z 2014-12-16T06:18:12Z 10000-01-01 1984 1984 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. Made available in DSpace on 2014-12-16T06:18:12Z (GMT). No. of bitstreams: 1 8502348.pdf: 2309266 bytes, checksum: 7ff5a5ff50260f14a844971444938699 (MD5) Previous issue date: 1984 Embargo set by: Seth Robbins for item 71396 Lift date: Forever Reason: Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs U of I Only 142 p. Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1984. http://hdl.handle.net/2142/71230 (UMI)AAI8502348 Mathematics Exponential Decay for the Saint-Venant Principle text Mathematics Mathematics University of Illinois at Urbana-Champaign Dissertation Ph.D.