Extension of Michell’s theorem to problems of plasticity and creep.

Budiansky, Bernard

doi:10.1090/qam/104403

Author: Bernard Budiansky
Journal: Quart. Appl. Math. 16 (1958), 307-309
MSC: Primary 73.00
DOI: https://doi.org/10.1090/qam/104403
MathSciNet review: 104403
Full-text PDF Free Access

J. H. Michell, On the Direct Determination of Stress in an Elastic Solid, with application to the Theory of Plates, Proc. Lond. Math. Soc. 31 (1899), 100–124. MR 1576699, DOI https://doi.org/10.1112/plms/s1-31.1.100
W. S. Dorn and A. Schild, A converse to the virtual work theorem for deformable solids, Quart. Appl. Math. 14 (1956), 209–213. MR 79418, DOI https://doi.org/10.1090/S0033-569X-1956-79418-5

Bernard Budiansky and Carl E. Pearson, On variational principles and Galerkin’s procedure for nonlinear elasticity, Quart. Appl. Math. 14, No. 3 (October 1956)

Bernard Budiansky and Carl E. Pearson, A note on the decomposition of stress and strain tensors, Quart. Appl. Math. 14 (1956), 327–328. MR 80951, DOI https://doi.org/10.1090/S0033-569X-1956-80951-5
S. Timoshenko and J. N. Goodier, Theory of Elasticity, McGraw-Hill Book Company, Inc., New York, Toronto, London, 1951. 2d ed. MR 0045547