Mechanical Engineering ETDs

Publication Date

Spring 5-31-1968

Abstract

A summary of the general kinematical theory of finite deformations is presented together with analyses of the specific deformations of sim­ple shear, bending of a block and bending of an initially curved cuboid.

The moiré fringe equations for large homogeneous deformation are developed. The extension to the nonhomogeneous case is presented and specific analyses are given for the deformations noted above. The moiré theory is combined with the results of the large deformation analyses.

Theoretical results are verified by the study of geometrically produced moiré patterns, and by actual experiments conducted on syn­thetic rubber specimens. The experiments included the deformations due to simple shear, bending of a block, bending of an initially curved cuboid, and extension of a plane tapered tensile specimen.

It is concluded that the moiré fringe method is a convenient, versatile and precise method to determine the components of Green's and Cauchy's deformation tensors for large two-dimensional deforma­tions.

Degree Name

Mechanical Engineering

Level of Degree

Doctoral

Department Name

Mechanical Engineering

First Committee Member (Chair)

Frederick Dsuin Ju

Second Committee Member

William Ernest Baker

Third Committee Member

Howard L. Schreyer

Fourth Committee Member

Richard Charles Dove

Document Type

Thesis

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