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Strain
is the deformation of a material normalized by a unit length. For the element
shown in the diagram, the point P is displaced by (u v w) in the coordinate
space and the element undergoes rigid translation and rotation, and also
experiences a change in its dimensions. This last quantity is a measure
of the strain. Measuring extensions (or contractions) parallel to the edges
of the element, the strain is given by:
ex
= {(dx + (du/dx)dx) - dx}/ dx = (du/dx),
and similarly for the other coordinate directions. These strains are the
normal strains. For uniaxial deformation: Engineering
Strain = (DL/L0).
The
corresponding True Strain = eT
is given by:
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