Nonlinear elastic-viscoplastic constitutive equations for aging facial tissues
نویسندگان
چکیده
منابع مشابه
Constitutive equations for an elastic material with anisotropic rigid particles.
In this paper we have derived constitutive equations for an elastic material with anisotropic rigid particles. We have included a dependence on the Finger tensor B and the orientation tensor Q in the expression for the free energy of the system. With this expression for the free energy we have derived an expression for the stress tensor up to second order in both these variables. We have shown ...
متن کاملThe Eshelby Problem for Elastic Viscoplastic Materials
Micro-macro schemes contain two important steps. First, the localization process must link the fields inside the inclusion to those applied in the infinite matrix. Secondly, an averaging process is used to derive the macroscopic behavior. For elastic viscoplastic materials, there is no exact solution for the first step. In this work, we adopt the interaction law proposed in [2]. By comparison w...
متن کاملDynamic Frictional Contact for Elastic Viscoplastic Material
Using a general theory for evolution inclusions, existence and uniqueness theorems are obtained for weak solutions to a frictional dynamic contact problem for elastic visco-plastic material. An existence theorem in the case where the friction coefficient is discontinuous is also presented.
متن کاملglobal results on some nonlinear partial differential equations for direct and inverse problems
در این رساله به بررسی رفتار جواب های رده ای از معادلات دیفرانسیل با مشتقات جزیی در دامنه های کراندار می پردازیم . این معادلات به فرم نیم-خطی و غیر خطی برای مسایل مستقیم و معکوس مورد مطالعه قرار می گیرند . به ویژه، تاثیر شرایط مختلف فیزیکی را در مساله، نظیر وجود موانع و منابع، پراکندگی و چسبندگی در معادلات موج و گرما بررسی می کنیم و به دنبال شرایطی می گردیم که متضمن وجود سراسری یا عدم وجود سراسر...
On the Formulation of Constitutive Equations for Living Soft Tissues*
Soft living tissues deform freely under negligible stresses until a certain strain level is reached at which their stiffness increases sharply. Constitutive equations are developed that describe this kind of mechanical behavior and include Hooke's law as a limiting case. It is shown that, similar to Hooke's law, these constitutive equations assure uniqueness of solution for a broad class of bou...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Biomechanics and Modeling in Mechanobiology
سال: 2005
ISSN: 1617-7959,1617-7940
DOI: 10.1007/s10237-005-0074-y