Blume, Janet A. Elastic materials with coincident principal stress and strain axes. (English) Zbl 0818.73014 J. Elasticity 35, No. 1-3, 275-280 (1994). Summary: A representation is derived for a Cauchy stress response function that is necessary and sufficient for a simple material without memory to be such that the principal axes of strain and stress always coincide. It is found that the material need not be isotropic. However, if the material is in addition hyperelastic, so that the work done in any cyclic motion is zero, it is shown that the material is nessecarily isotropic. Cited in 2 Documents MSC: 74B99 Elastic materials 74B20 Nonlinear elasticity Keywords:hyperelastic material; Cauchy stress response function; simple material without memory PDFBibTeX XMLCite \textit{J. A. Blume}, J. Elasticity 35, No. 1--3, 275--280 (1994; Zbl 0818.73014) Full Text: DOI References: [1] C. Truesdell and W. Noll, The nonlinear field theories of mechanics. In S. Flügge (ed.), Handbuch der Physik, Vol. III/3. Berlin: Springer-Verlag (1985). · Zbl 0779.73004 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.