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On the ellipticity of the equations of nonlinear elastostatics for a special material. (English) Zbl 0323.73010

MSC:
74A99 Generalities, axiomatics, foundations of continuum mechanics of solids
74A20 Theory of constitutive functions in solid mechanics
74S30 Other numerical methods in solid mechanics (MSC2010)
35Q99 Partial differential equations of mathematical physics and other areas of application
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[1] Knowles, J. K. and EliSternberg, An asymptotic finite-deformation analysis of the elastostatic field near the tip of a crack. Journal of Elasticity 3 (1973) 67. · doi:10.1007/BF00045816
[2] Knowles, J. K. and EliSternberg, Finite-deformation analysis of the elastostatic field near the tip of a crack: reconsideration and higher-order results. Journal of Elasticity 4 (1974) 201. · Zbl 0286.73076 · doi:10.1007/BF00049265
[3] Blatz, P. J. and W. L.Ko, Application of finite elastic theory to the deformation of rubbery materials. Transactions of the Society of Rheology 6 (1962) 223. · doi:10.1122/1.548937
[4] Truesdell, C. and W.Noll, The non-linear field theories of mechanics. Handbuch der Physik, Vol. III/3, Springer, Berlin 1965. · Zbl 0779.73004
[5] Courant, R. and D.Hilbert, Methods of mathematical physics, Vol. II. Interscience, New York 1962. · Zbl 0099.29504
[6] Ogden, R. W., Compressible isotropic elastic solids under finite strain-constitutive inequalities. Quarterly Journal of Mechanics and Applied Mathematics 23 (1970) 457. · Zbl 0215.57401 · doi:10.1093/qjmam/23.4.457
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