Abstract. We consider the Stokes-Oldroyd equations, defined here as the Stokes equations with the Newtonian constitutive equation explicitly included. Thus a polymer-like stress tensor is included so that the dependent variable structure of a viscoelastic model is in place. The energy equation is coupled with the mass, momentum, and constitutive equations through the use of temperature-dependen...

In order to describe the deformation properties due to the martensitic transformation and the R-phase transformation of TiNi shape memory alloy, a thermomechanical constitutive equation considering the volume fractions of induced phases associated with both transformations is developed. The proposed constitutive equation expresses well the properties of the shape memory effect, pseudoelasticity...

In this article we consider the numerical approximation to the time dependent viscoelasticity equations with an Oldroyd B constitutive equation. The approximation is stabilized by using a SUPG approximation for the constitutive equation. We analyse both the semi-discrete and fully discrete numerical approximations. For both discretizations we prove the existence of, and derive a priori error es...

The dynamic response of a fluidic actuator is investigated on the basis numerical simulations. With this membrane excited to oscillate by means an electrorheological valve. For purpose solid and fluid domains are coupled. Furthermore, constitutive equation coupled electric field. discussed example variable stiffness membrane. Actuators type offer potential delay transition boundary layer.

Using mode-coupling theory, we derive a constitutive equation for the nonlinear rheology of dense colloidal suspensions under arbitrary time-dependent homogeneous flow. Generalizing previous results for simple shear, this allows the full tensorial structure of the theory to be identified. Macroscopic deformation measures, such as the Cauchy-Green tensors, thereby emerge. So does a direct relati...

Phase transformation tensor Q in the constitutive equation pmposed by Tanaka has been evaluated by employing experimental data of TiNi alloys in a constrained recovery process. It demonstrates that the absolute value of Q for the consmined recovery process is typically about 0.6 0.7 x103 MPa, which is much smaller than that for the stress induced martensitic transformation (typically 2.5 3.5 x1...

This paper is devoted to apply the Lie methods a class of reaction diffusion advection systems two interacting species u and v with arbitrary constitutive functions f g. The term appearing in equation for logistic function Lotka-Volterra type. Once obtained algebra any form g classification carried out. Interesting reduced are derived admitting wide classes exact solutions.