It is form invariant under translation and rotation, and obeys the principle of material frame indifference (i.e. the observed phenomena are independent of the inertial frame in which they are observed).
These findings reveal that the Willis-form equations can give very accurate linear approximations of finite deformation problems and are also helpful to clarify the classical concept of the principle of material frame indifference.
The notion of constitutive frame invariance (CFI) is introduced as geometric correction to the formulation of material frame indifference (MFI).
The stresses are updated in a material frame.
Moreover, there is no necessity to transform velocity and acceleration from the spatial to the material reference frame and the Newmark method can be applied.
Provided that the concentration of vacancies is constant over time, such interdiffusion implies that the fluxes of the substitutional components in a binary solid solution take identical values and have opposite directions in the material fixed frame of reference.
In this paper, we discuss the importance of the Principle of Material Frame-Indifference, sometimes referred to as Objectivity, in multiphase flows.
Her narrow frame contorted and splayed, more creature than human, as she grabbed at the long shafts of plant material framing her actions.
