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    Analytical solutions to selected boundary value problems and their application to Rocky Mountain foreland deformation

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    Author
    Couples, Gary Douglas
    Date
    1977
    Advisor
    Burchfiel, B. C.
    Degree
    Master of Arts
    Abstract
    The Airy stress function is used, via the Principle of Superposition and the series summation concept, to obtain stress states in a static, self-gravitating elastic beam subjected to boundary stresses. The boundary conditions investigated are more complicated than those previously published and include cases with sawtooth-, step-, and sinusoidally-shaped lower boundary loads, with and without additional tectonic end loads. Potential shear fracture (fault) patterns derived from the calculated stress fields indicate co-existing (simultaneous) regions of lateral shortening and extension. Application of three of the cases to the study of the structural geometry of the Wind River, Owl Creek, and Beartooth Mountains of Wyoming yields a good "fit." For the case of the upthrust structures, these solution provide a possible explanation for the observed rotations and zones of shortening and extension.
    Citation
    Couples, Gary Douglas. "Analytical solutions to selected boundary value problems and their application to Rocky Mountain foreland deformation." (1977) Master’s Thesis, Rice University. http://hdl.handle.net/1911/104013.
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    Managed by the Digital Scholarship Services at Fondren Library, Rice University
    Physical Address: 6100 Main Street, Houston, Texas 77005
    Mailing Address: MS-44, P.O.BOX 1892, Houston, Texas 77251-1892