【Author】

Changda Wang;Xuejun Chen;Peijun Wei;Yueqiu Li;Department of Applied Mechanics,University of Science and Technology Beijing;Beijing Key Laboratory for Magneto-Photoelectrical Composite and Interface Science,University of Science and Technology Beijing;Department of Mathematics,Qiqihar University;

【Institution】

Department of Applied Mechanics,University of Science and Technology Beijing;Beijing Key Laboratory for Magneto-Photoelectrical Composite and Interface Science,University of Science and Technology Beijing;Department of Mathematics,Qiqihar University;

【Abstract】

The relection elastic waves at the elastically supported boundary of a couple stress elastic half-space are studied in this paper. Different from the classical elastic solid, there are three kinds of elastic waves in the couple stress elastic solid, and two of them are dispersive. The boundary conditions of a couple stress elastic half-space include the couple stress vector and the rotation vector which disappear in the classical elastic solids. These boundary conditions are used to obtain a linear algebraic equation set, from which the amplitude ratios of relection waves to the incident wave can be determined. Then, the relection coeficients in terms of energy lux ratios are calculated numerically, and the normal energy lux conservation is used to validate the numerical results. Based on these numerical results,the inluences of the boundary parameters, which relect the mechanical behavior of elastic support, on the relection energy partition are discussed. Both the incident longitudinal wave(the P wave) and incident transverse wave(the SV wave) are considered.

【Keywords】

Relection;;Elastic support;;Couple stress;;Dispersive waves;;Energy lux

To explore the background and basis of the node document

Total: 15 articles

- [1] A microbend test method for measuring the plasticity length scale, Acta Materialia, 1998 (14)
- [2] Niels Saabye Ottosen;;Matti Ristinmaa;;Christer Ljung, Rayleigh waves obtained by the indeterminate couple-stress theory, European Journal of Mechanics / A Solids, 2000 (6)
- [3] R. D. Mindlin;;H. F. Tiersten, Effects of couple-stresses in linear elasticity, Archive for Rational Mechanics and Analysis, 1962 (1)
- [4] R. A. Toupin, Elastic materials with couple-stresses, Archive for Rational Mechanics and Analysis, 1962 (1)

Documents that have the similar content to the node document

Total: 21 articles

- [1] Productions of kaon and lambda by 50 GeV protons incident on nuclear targets, Nuclear Science and Techniques, 1998 (02)
- [2] Experimental analysis of sand particles' lift-off and incident velocities in wind-blown sand flux, Acta Mechanica Sinica, 2005 (06)
- [3] Tian-Li Bo;Xiao-Jing Zheng;Shao-Zhen Duan;Yi-Rui Liang;, Analysis of sand particles' lift-off and incident velocities in wind-blown sand flux, Acta Mechanica Sinica, 2013 (02)
- [4] 2.5D scattering of incident plane SV waves by a canyon in layered half-space, Earthquake Engineering and Engineering Vibration, 2010 (04)