The concept of a continuum underlies the mathematical framework for studying large-scale forces and deformations in materials. Although materials are composed of discrete … See more

A solid is a deformable body that possesses shear strength, sc. a solid can support shear forces (forces parallel to the material surface on … See more

Continuum mechanics deals with the behavior of materials that can be approximated as continuous for certain length and time scales. The equations that govern the … See more

• Continuum mechanics
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Continuum mechanics models begin by assigning a region in three-dimensional Euclidean space to the material body See more

A change in the configuration of a continuum body results in a displacement. The displacement of a body has two components: a rigid-body displacement and a See more

The validity of the continuum assumption may be verified by a theoretical analysis, in which either some clear periodicity is identified or statistical homogeneity and ergodicity of the microstructure exist. More specifically, the continuum hypothesis hinges on the … See more