Second-Order Effects in Problems for a Class of Elastic Materials

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.

Name thesis:degree_name

Ph.D.

Level thesis:degree_level

Dissertation

Discipline thesis:degree_discipline

Theoretical and Applied Mechanics

Grantor

University of Illinois at Urbana-Champaign

Year dc:date

2014

Author dc:creator

• Choi, Injae

• Applied Mechanics

Language dc:language

eng

Identifier

(UMI)AAI8114401

OAI identifier oai:identifier

oai:www.ideals.illinois.edu:2142/68515