The Earthquake Engineering Online Archive

Remarks on Rate Constitutive Equations for Finite Deformation Problems: Computational Implications

Simo, Juan C.; Pister, Karl S.

UCB/SESM-1983/05, Dept. of Civil Engineering, University of California, Berkeley, 1983-12, 17 pages

It is explcitly shown that if the spatial elasticity tensor of an elastic material is taken as isotropic for all possible configurations then its co-efficients cannot be constants but must depend on the jacobian determinant of the deformation gradient. It is further shown that relating an objective stress rate to the rate of deformation tensor through a fourth rank constant isotropic tensor is also incompatible with elasticity thus furnishing an example of hypoelastic material which is not elastic.

Available online: http://nisee.berkeley.edu/documents/SEMM/SEMM-83-05.pdf (1 MB)