Sentence examples for laws of continuum from inspiring English sources

At the macroscopic level, the paper structure can be considered as continuous solid material obeying the laws of continuum mechanics.

Before embarking on the presentation of such models which is the central object of this book it is appropriate to review first a few fundamental concepts definitions laws of continuum mechanics.

The geometry is taken to be two-dimensional, the contact is assumed to follow the laws of continuum mechanics and temporal and spatial resolution are such that dynamical effects localized at the interface are resolved.

Models are based on constitutive laws of continuum mechanics, such as the Law of Laplace that had been originally used in the analysis of bursting of cylindrical shells, the laws of rheology to describe the properties of blood, fluid mechanics in the analysis of vortex formation in the lumen, and material properties of stent grafts in a postsurgical aorta.

This kinematic theory has been extensively used as the constitutive law of continuum regions in multi-scale models.

One distinguishable phenomenon captured by the MTKM is that in the transition flow regime the heat flux direction can be from a low temperature to a high temperature region, which violates the Fourier's law of continuum flows.

The molecular scale is characterized by the mean free path between molecular collisions, the microscale by the smallest scale at which the law of continuum mechanics apply, the macroscale by the smallest scale at which a set of averaged properties of concern can be defined and the megascale by the length scale corresponding to the domain of interest [20, 21].

The molecular scale is characterized by the mean free path between molecular collisions, the microscale by the smallest scale at which the law of continuum mechanics applies, the macroscale by the smallest scale at which a set of averaged properties of concern can be defined, and the systemscale by the length scale corresponding to the domain of interest.

The basic equations are the well-known Maxwell equations and thermomechanical balance laws of a continuum written for a binary liquid mixture.

The definition of damage state variables and their evolution laws are the foundation of continuum damage mechanics, yet experimental data for shear damage evolution is limited.

Based on a combination of finite elements in space and fractional step methods in time, we formulate algorithms that exactly preserve the symmetries and the laws of thermodynamics of the continuum problem.