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Choi, Injae 2014-12-14T14:42:21Z 2014-12-14T14:42:21Z 10000-01-01 1981 1981 For a special class of elastic materials, the inverse deformation is always possible in the same material. This result is used to simplify the determination of second-order effects in problems for this special class. The second-order solution for indentation of a half-space by a smooth rigid sphere is determined. For indentation by a flat-ended circular punch it is found that the second-order solution for compressible materials is physically inadmissible, while the solution for incompressible materials involves a concentrated line load at the edge of the punch. A spherical elastic inclusion embedded in an elastic matrix with uniform stresses at infinity is considered, and the special cases of a spherical hole and a rigid inclusion are treated. Made available in DSpace on 2014-12-14T14:42:21Z (GMT). No. of bitstreams: 1 8114401.pdf: 2231426 bytes, checksum: 1972b9ea876f207bc3c7ab80862368c6 (MD5) Previous issue date: 1981 Embargo set by: Seth Robbins for item 68693 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 95 p. Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1981. http://hdl.handle.net/2142/68515 (UMI)AAI8114401 eng Applied Mechanics Second-Order Effects in Problems for a Class of Elastic Materials text Theoretical and Applied Mechanics Theoretical and Applied Mechanics University of Illinois at Urbana-Champaign Dissertation Ph.D.