Spider DSA User’s Manual
221
All of this physically observable behavior is mathematically modeled by Hooke’s
Law†, a linear approximation of material behavior that serves well for small
deformations of isotropic elastic materials, those that return from deformation
when released and exhibit the same properties in all directions. The general
statement of Hooke’s Law may be stated:
† Introduced in 1660 by English physicist Robert Hooke (1635 – 1703).
While it is rare to study three-dimensional stress/strain problems, the two-
dimensional case is of frequent interest. Such studies arise when examining
virtually anything fabricated from sheet or plate stock, such as aircraft skins,
automotive bodies, pressure vessels or windmill blades. Here we find:
and
From which we can calculate the orthogonal stresses from the measured strains.
and
Of course, for the case of single direction stress and strain The relationship is
simply:
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