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On copositive matrices and strong ellipticity for isotropic elastic materials. (English) Zbl 0526.73026

MSC:
74B20 Nonlinear elasticity
74A20 Theory of constitutive functions in solid mechanics
35J60 Nonlinear elliptic equations
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[1] Baker, M., & J. L. Ericksen, Inequalities restricting the form of the stress-deformation relations for isotropic elastic solids and Reiner-Rivlin fluids. J. Wash. Acad. Sci. 44 (1954), 33–35. Reprinted in Foundations of Elasticity Theory. Intl. Sci. Rev. Serv. New York: Gordon and Breach 1965.
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[8] Dunn, J. E., Elastic materials of coaxial type and inequalities sufficient to insure strong ellipticity. To appear: Int. J. Solids Structures. · Zbl 0571.73042
[9] Hadeler, K. P., On copositive matrices. Lin. Alg. Appl. 49 (1983), 79–89. · Zbl 0506.15016
[10] Sawyers, K. N., & R. S. Rivlin, On the speed of propagation of waves in a deformed compressible elastic material. Z. Angew. Math. Phys. 29 (1978), 245–251. · Zbl 0399.73035
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