Longitudinal and Transverse Waves in Finite Elastic Strain. Hadamard and Green Materials
by
Peter Currie,
Michael Hayes
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Francis Birch in Physical Review (1947)Murnaghan's theory of finite strain is developed for a medium of cubic symmetry subjected to finite hydrostatic compression, plus an arbitrary homogeneous infinitesimal strain. The free energy is developed for cubic symmetry to include terms of the…Save reference to library · Related research 109 readers
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S Nunomura, J Goree, S Hu, X Wang, A Bhattacharjee in Physical Review E - Statistical, Nonlinear and Soft Matter Physics (2002)Dispersion relations of longitudinal and transverse waves in two-dimensional (2D) screened-Coulomb crystals were investigated. The waves were excited in 2D crystals made from complex plasmas, i.e., dusty plasmas, by applying radiation pressure of…Save reference to library · Related research 2 readers
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F T Adler, W M Sawyer, John D Ferry in J Applied Phys (1949)In calculating elastic constants of viscoelastic media from transverse wave propagation, it has been customary heretofore to assume a plane disturbance in a medium of infinite extent. Equations have now been derived for conditions which approach…Save reference to library · Related research 2 readers
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R Hill in Journal of the Mechanics and Physics of Solids (1957)It is shown that there is a direct relation between the criterion for stability of an elastic solid in a state of finite strain and the criterion for a unique solution to the associated boundary-value problem set by given velocities and nominal…Save reference to library · Related research 3 readers
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S Y Hsia, S M Chiu, C C Su, T H Chen in Japanese Journal of Applied Physics Part 1Regular Papers Brief Communications Review Papers (2007)Porous materials are widely used in the passive noise control field as sound absorbers. Conventional models of porous materials are assumed to have a rigid frame and show finite bulk elasticity. However, in the case of acoustical waves-characterized…Save reference to library · Related research 2 readers
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A C Hladky-Hennion, J Vasseur, B Dubus, B Djafari-Rouhani, B Morvan, A Tinel, in 2008 IEEE Ultrasonics Symposium (2008)This paper reports numerical and experimental analyses of negative refraction process using a phononic crystal, made of a periodic arrangement of holes in aluminium. Dispersion curves are discussed and conditions for which negative refraction can…Save reference to library · Related research 3 readers
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W H Jiang, L L Li, G H Du in 1995 IEEE Ultrasonics Symposium Proceedings An International Symposium (1995)The nonlinear propagation characteristics of ultrasonic transverse waves in anisotropic crystals are investigated in this paper. The calculation reveals that the quadratic nonlinearity of transverse waves could exist in some wave propagation…
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