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.
Level of Degree
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
Martin, Lowell P.. "Measurement of Deformations an a Large Displacement Gradient Field." (1968). https://digitalrepository.unm.edu/me_etds/184