= Strain-rate tensor
{wiki=Strain-rate_tensor}
The strain-rate tensor is a mathematical object used in continuum mechanics to characterize the rate of deformation of a material over time. It quantifies how the shape of a material changes as it deforms, which is particularly important in the study of fluid dynamics, solid mechanics, and material science. Mathematically, the strain-rate tensor \\( \\dot\{\\epsilon\} \\) is a second-order symmetric tensor that describes the instantaneous rate of change of the strain in the material.
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