The discrete Lamb problem: Elastic lattice waves in a block medium

作者: N.I. Aleksandrova

DOI: 10.1016/J.WAVEMOTI.2014.02.002

关键词:

摘要: Abstract We study the propagation of transient waves under action a vertical step point load on surface half-space filled by block medium. The medium is modeled square lattice masses connected springs in directions axes x , y and diagonal directions. problem solved two methods. Analytically, we obtain asymptotic solutions vicinity Rayleigh wave at large time intervals. Numerically, solution for any finite interval. compare these with each other to Lamb an elastic

参考文章(20)
Yu D Kaplunov, EV Nol'de, Lamb problem for a generalized plane stress state Soviet physics. Doklady. ,vol. 37, pp. 88- 90 ,(1992)
Jan D. Achenbach, Wave propagation in elastic solids ,(1962)
M.V. Ayzenberg-Stepanenko, L.I. Slepyan, Resonant-frequency primitive waveforms and star waves in lattices Journal of Sound and Vibration. ,vol. 313, pp. 812- 821 ,(2008) , 10.1016/J.JSV.2007.11.047
N. I. Aleksandrova, Elastic Wave Propagation in Block Medium under Impulse Loading Journal of Mining Science. ,vol. 39, pp. 556- 564 ,(2003) , 10.1023/B:JOMI.0000036223.58270.42
M. A. Kulesh, V. P. Matveenko, I. N. Shardakov, Construction and Analysis of an Analytical Solution for the Surface Rayleigh Wave within the Framework of the Cosserat Continuum Journal of Applied Mechanics and Technical Physics. ,vol. 46, pp. 556- 563 ,(2005) , 10.1007/S10808-005-0108-3
V. A. Saraikin, Calculation of wave propagation in the two-dimensional assembly of rectangular blocks Journal of Mining Science. ,vol. 44, pp. 353- 362 ,(2008) , 10.1007/S10913-008-0039-5
A. V. Kravtsov, S. V. Kuznetsov, S. Ya. Sekerzh-Zen’kovich, Finite element models in Lamb’s problem Mechanics of Solids. ,vol. 46, pp. 952- 959 ,(2011) , 10.3103/S002565441106015X
A. T. De Hoop, A modification of cagniard’s method for solving seismic pulse problems Applied Scientific Research, Section B. ,vol. 8, pp. 349- 356 ,(1960) , 10.1007/BF02920068
J.S. Jensen, Phononic band gaps and vibrations in one- and two-dimensional mass–spring structures Journal of Sound and Vibration. ,vol. 266, pp. 1053- 1078 ,(2003) , 10.1016/S0022-460X(02)01629-2
L. Cagniard, Edward A. Flinn, C. Hewitt Dix, Walter G. Mayer, Reflection and Refraction of Progressive Seismic Waves Physics Today. ,vol. 16, pp. 64- 64 ,(1963) , 10.1063/1.3050759