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Article

Mošová, Vratislava
Some estimates for the oscillation of the deformation gradient. (English). Applications of Mathematics, vol. 45 (2000), issue 6, pp. 401-410
MSC: 35Q72, 73G05, 74B20 | MR 1800961 | Zbl 1002.74011
Keywords:
hyperelastic material; deformation gradient; strain tensor; matrix and spectral norms; bi-Lipschitzian map
Summary:

References:
[1] P. G. Ciarlet: Mathematical Elasticity. North-Holland, Amsterdam, 1988. MR 0936420 | Zbl 0648.73014
[2] F. John: Bounds for Deformations in Terms of Average Strains. In: Inequalities III (O. Shisha, ed.), Academic Press, New York, 1972. MR 0344392 | Zbl 0292.53003
[3] R. V. Kohn: New integral estimates for deformation in terms of their nonlinear strains. Arch. Rational Mech. Anal. 78 (1982), 131–172. MR 0648942
[4] A. I. Koshelev: The weighted Korn inequality and some iteration processes for quasilinear elliptic systems. Dokl. Akad. Nauk SSSR 271 (1983), 1056–1059. MR 0722019
[5] J. Nečas, I. Hlaváček: Introduction to Mathematical Theory of Elastic and Elastoplastic Bodies. SNTL, Praha, 1983 (in Czech).
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