The strain tensor is a mathematical representation used in continuum mechanics to describe the deformation of a material body under stress, capturing how the material stretches, compresses, or shears. It is a second-order tensor that relates the displacement of material points to their original configuration, providing a comprehensive description of the internal strains experienced by the material.

Strain Tensor

strain tensor

mathematical representation

Continuum mechanics is a branch of mechanics that models materials as continuous mass rather than discrete particles, allowing for the analysis of deformations and flow in materials. It provides the mathematical framework for understanding the behavior of solids, liquids, and gases under various forces and conditions, essential for engineering and physics applications.

continuum mechanics

deformation of a material body

Material under stress

how the material stretches

Material compresses

Material shears

second-order tensor

displacement of material points

original configuration

internal strains

Comprehensive description of strains

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