Kiehn, R. M.2022-06-222022-06-22197313710608https://hdl.handle.net/10657/9807A qualitative model for the finite elastostatic Dirichlet problem is presented. The principal feature is that the solution space is a differentiable manifold as opposed to a topological vector space. The nature of the solution manifold reflects the imposed boundary condition the body topology, and varies with them. The model permits one to utilize contemporary mathematical methods to resolve existence and uniqueness questions.application/pdfenThis item is protected by copyright but is made available here under a claim of fair use (17 U.S.C. Section 107) for non-profit research and educational purposes. Users of this work assume the responsibility for determining copyright status prior to reusing, publishing, or reproducing this item for purposes other than what is allowed by fair use or other copyright exemptions. Any reuse of this item in excess of fair use or other copyright exemptions requires express permission of the copyright holder.Thesisreformatted digital