This investigation contains an historical overview of contact stresses including various classifications of the problem and their associated solutions. The solution for the normal loading elliptical contact problem is reviewed, as formulated using classic methods of linear elasticity theory. An efficient computational method is developed to evaluate the elliptic integrals that arise. The limitations of this solution are investigated in detail and it is shown how the method could be extended to the sliding elliptical contact problem. Practical applications of contact stresses are included with an emphasis on mechanical design. Differences between the continuum model and the behavior of real materials are discussed.
Library of Congress Subject Headings
Mechanics, Applied; Rolling contact--Computer simulation; Residual stresses--Computer simulation; Strains and stresses--Measurement
Department, Program, or Center
Mechanical Engineering (KGCOE)
McGoldrick, Christopher R., "Computational methods for contact stress problems with normal and tangential loading" (1991). Thesis. Rochester Institute of Technology. Accessed from
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