The Elasto-Plastic Waves of Solids with Dilatancy Effect

Article Preview

Abstract:

The elasto-plastic waves of solids with dilatancy effect are studied here based on the theory of standard space under physical presentation for anisotropic solids, in which a new yield function is induced, which consider both isotropic hardening and kinematic hardening. The speed equations of elasto-plastic wave in anisotropic solids are deduced, and several new and important results are obtained.

You might also be interested in these eBooks

Info:

Periodical:

Pages:

108-111

Citation:

Online since:

August 2013

Authors:

Export:

Price:

Permissions CCC:

Permissions PLS:

Сopyright:

© 2013 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

[1] M. A. Biot, Theory of propagation of elastic waves in a fluid-saturated porous solid: I. Low- frequency range, J. Acoust. Soc. Amer., 1956, 28(2): 168-178.

DOI: 10.1121/1.1908239

Google Scholar

[2] M.A. Biot, Theory of propagation of elastic waves in a fluid-saturated porous solid: II. Higher frequency range, J. Acoust. Soc. Amer., 28(1956), 179-191.

DOI: 10.1121/1.1908241

Google Scholar

[3] M.A. Biot, Mechanics of deformations and acoustic propagation in porous media, J. Appl. Phys., 33(1962), 1482-1498.

Google Scholar

[4] W. K. Nowaski, Stress wave in non-elastic solids, Pergaman Press Ltd, Oxford, (1978).

Google Scholar

[5] B. Liu, H. Kern and T. Popp, Attenuation and velocities of P and S waves in dry and saturated crystalline and sedimentary rocks at ultrasonic frequencies, Phys. Chem. Earth., 1997, 22(1): 75-79.

DOI: 10.1016/s0079-1946(97)00081-5

Google Scholar

[6] L. Peselnick, A. Nicolas and P. R. Stavenson, Velocity anisotropic in a mantle peridotitr from Ivrea zone: application to upper mantle anisotropy, J. Geophys. Res., 1974, 79(7): 1175-1182.

DOI: 10.1029/jb079i008p01175

Google Scholar

[7] S. H. Guo, An eigen theory of rheology for complex media. Acta Mechanica. 182(2007), 985-992.

Google Scholar

[8] S. H. Guo, An eigen theory of electromagnetic waves based on the standard spaces. Int. J. Engng. Sci. 47(2009), 405-412.

Google Scholar