An anisotropic constitutive equation for the stress tensor of blood based on mixture theory.
Massoudi, Mehrdad, Antaki, James F. (2008)
Mathematical Problems in Engineering
Similarity:
Massoudi, Mehrdad, Antaki, James F. (2008)
Mathematical Problems in Engineering
Similarity:
Massoudi, Mehrdad, Rao, C.Lakshmana (2001)
Mathematical Problems in Engineering
Similarity:
H. Ehrentraut, W. Muschik (1996)
Extracta Mathematicae
Similarity:
Kamyar Malakpoor, Enrique F. Kaasschieter, Jacques M. Huyghe (2007)
ESAIM: Mathematical Modelling and Numerical Analysis
Similarity:
The swelling and shrinkage of biological tissues are modelled by a four-component mixture theory in which a deformable and charged porous medium is saturated with a fluid with dissolved ions. Four components are defined: solid, liquid, cations and anions. The aim of this paper is the construction of the Lagrangian model of the four-component system. It is shown that, with the choice of Lagrangian description of the solid skeleton, the motion of the other components can be described...
Gianfranco Capriz, George Mullenger (1995)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
Similarity:
We exploit a recent proposal of an «extended kinematics» to describe fast flows of granular materials. Prompted by some remarks in elementary point dynamics, we suggest balance laws which might be of use in studying the evolution of those flows.
Gianfranco Capriz, George Mullenger (2004)
Rendiconti del Seminario Matematico della Università di Padova
Similarity:
Kumbakonam R. Rajagopal (2003)
Applications of Mathematics
Similarity:
In classical constitutive models such as the Navier-Stokes fluid model, and the Hookean or neo-Hookean solid models, the stress is given explicitly in terms of kinematical quantities. Models for viscoelastic and inelastic responses on the other hand are usually implicit relationships between the stress and the kinematical quantities. Another class of problems wherein it would be natural to develop implicit constitutive theories, though seldom resorted to, are models for bodies that are...