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Abstract: The thesis deals with the modeling of soft materials and structures. Attentions is confined to (i) constitutive modeling of time-dependent passive skeletal muscle and (ii) modeling of residually stressed materials. In constitutive modeling, a new three-dimensional constitutive material model is presented to capture time-dependent material responses, i.e. rate-dependence response, stress ... read morerecovery and relaxation at constant stretch, of passive skeletal muscle in loading unloading cycle. The proposed model, consists of dissipative components in parallel with elastic component, is capable of modeling rate-dependent and rate-independent response of muscle with no finite range. A robust, strongly objective numerical integration algorithm is used to solve the evolution equations concerning the proposed model. The proposed model can closely match experimental response with specialized material parameters. In modeling of residually stressed materials, numerical framework is presented to incorporate three-dimensional residual stress in stress analysis of soft materials and structures. General formulation, derivation of required tensor quantities for numerical implementation of the method is summarized. Verification and validation is performed by evaluating stress of residually stressed patient specific Abdominal Aortic Aneurysm (AAA) considering material anisotropy.
Thesis (M.S.)--Tufts University, 2015.
Submitted to the Dept. of Civil Engineering.
Advisor: Luis Dorfmann.
Committee: Robert Viesca, James Adler, and Jeffrey Guasto.
Keyword: Civil engineering.read less
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