Modeling of Soft Materials and Structures.
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, st... read moreress recovery 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
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