Sentence examples for material continuum from inspiring English sources

This representation is intended to approximate a material continuum as opposed to discrete truss structures.

In this paper, formulation of the partial differential equations that govern the macroscopic behavior of materials resulting from the material continuum assumption is first presented.

The macromodels are based on the concept of a material continuum for which the densities of mass, momentum, and energy exist in the mathematical sense of the continuum and the microstructure of matter can be ignored.

To predict the engineering properties of such materials, continuum mechanical modeling needs to be interfaced with molecular-scale modeling: our analysis shows that a classical mechanics approach at the molecular scale can be surprisingly useful if the system is considered as a nanostructure rather than a continuous material and gives direct insight into the molecular origins of Poisson ratios.

In the next step towards modeling such a complex hierarchical and random structural material, the continuum Biot's dynamic theory of poroelasticity is implemented to analyze the experimental sound transmission loss results.

The results show that the displacements and stresses in the foam near the crack tip are very similar to that in an equivalent homogeneous material, and continuum fracture mechanics concepts can be applied to predict the fracture of a cellular medium.

In the first model the materials were continuum and in the other one discontinuities were simulated.

In this paper, we attempt to simulate such ductile behavior in elastic materials using continuum damage mechanics.

These operators arise in a quite natural way in many different contexts, such as the thin obstacle problem, optimization, finance, materials science, continuum mechanics, etc.

In Islam, numbers compound in units that issue and maintain the entire material-spiritual continuum.

The gels can be modeled as porous continuum material, where the solid phases are viscoelastic material, and the pores are filled with some kinds of liquid.