Remarks on the continuity of the scalar coefficients in the representation H(A) = αI + βA + γA2 for isotropic tensor functions
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OpenAlex topics: Elasticity and Material Modeling · Elasticity and Wave Propagation · Fatigue and fracture mechanics
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References (4)
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1. J.M. Ball, Differentiability properties of symmetric and isotropic functions.Duke Math. J. 51 (1984) 699–728.10.1215/S0012-7094-84-05134-2 ↗
2. D.E. Carlson and A. Hoger, The derivative of a tensor-valued function of a tensor.Quart. Appl. Math. 44 (1986) 409–423.10.1090/qam/860894 ↗
3. R.S. Rivlin and J.L. Ericksen, Stress-deformation relation for isotropic materials.J. Rational Mech. Anal. 4 (1955), 323–425.
4. J. Serrin, The derivation of stress-deformation relations for a Stokesian fluid.J. Math. Mech. 8 (1959) 459–468.