Second-order effects in the propagation of elastic waves*

作者: A.D. Fine , R.T. Shield

DOI: 10.1016/0020-7683(66)90042-4

关键词:

摘要: Abstract Second-order effects in the propagation of elastic waves through homogeneous isotropic media are considered. The jump conditions governing second-order quantities at wave fronts where first-order displacements have discontinuous derivatives derived, and it is seen that a consistent theory requires secondorder to be such fronts, general. results illustrated by some one-dimensional examples involving plane spherical waves.

参考文章(11)
J. G. Oldroyd, A. E. Green, J. E. Adkins, Large Elastic Deformations and Non-Linear Continuum Mechanics The Mathematical Gazette. ,vol. 46, pp. 87- ,(1962) , 10.2307/3613144
Lev Davidovich Landau, Evgenii Mikhailovich Lifshitz, Theory of elasticity ,(1951)
G. M. C. Fisher, A Complete Stress Function Solution in the Dynamic Linear Theory of Incompressible Elastic Bodies Journal of Applied Mechanics. ,vol. 33, pp. 206- 207 ,(1966) , 10.1115/1.3624987
Eric Varley, Simple waves in general elastic materials Archive for Rational Mechanics and Analysis. ,vol. 20, pp. 309- 328 ,(1965) , 10.1007/BF00253139
Gerald Lee Jones, Donald R. Kobett, Interaction of Elastic Waves in an Isotropic Solid The Journal of the Acoustical Society of America. ,vol. 35, pp. 5- 10 ,(1963) , 10.1121/1.1918405
A. Signorini, Trasformazioni termoleastiche finite Annali di Matematica Pura ed Applicata. ,vol. 30, pp. 1- 72 ,(1949) , 10.1007/BF02414999
M. Mooney, A Theory of Large Elastic Deformation Journal of Applied Physics. ,vol. 11, pp. 582- 592 ,(1940) , 10.1063/1.1712836
Augustus Edward Hough Love, A treatise on the mathematical theory of elasticity ,(1892)
Eli Sternberg, ON THE INTEGRATION OF THE EQUATIONS OF MOTION IN THE CLASSICAL THEORY OF ELASTICITY Archive for Rational Mechanics and Analysis. ,vol. 6, pp. 34- 50 ,(1960) , 10.1007/BF00276152