Strain energy density function: Difference between revisions

Revision as of 22:14, 29 January 2015

Revision as of 23:26, 29 January 2015

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For linear isotropic materials undergoing small strains, the strain energy density function specializes to

:<math>W = \frac{1}{2}\sum_{i=1}^{3}\sum_{j=1}^{3}\sigma_{ij}\epsilon_{ij} = \frac{1}{2}(\sigma_x\epsilon_x+\sigma_y\epsilon_y+\sigma_z\epsilon_z+\tau_{xy}\gamma_{xy}+\tau_{yz}\gamma_{yz}+\tau_{xz}\gamma_{xz})</math><ref name=Sadd>{{cite book

|title=Elasticity Theory, Applications and Numerics