He worked on problems in the theory of non-linear elasticity.
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An explanation of this relation in terms of linear elasticity theory is problematic.
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The inequality is therefore an important tool as an a priori estimate in linear elasticity theory.
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The cable break will infact propigate as a wave, per Linear elasticity ( WARNING : MATH ).
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Mechanical deformation of hard tissues ( like wood, shell and bone ) may be analysed with the theory of linear elasticity.
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Within linear elasticity the free energy has to be quadratic in the tensor's elements, which eliminates an additional scalar.
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A common application to this is the evaluation of the potential energy as function of the strain tensor, within the framework of linear elasticity.
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Linear elasticity theory predicts that stress ( and hence the strain ) at the tip of a sharp flaw in a linear elastic material is infinite.
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The equations are then discretized onto a grid using the finite difference method and solved subject to the constraints of Gauss's law and Linear elasticity.
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A common approach in linear elasticity is to superpose a number of solutions each of which corresponds to a point load acting over the area of contact.