Effects of surface stresses and voids on Rayleigh waves in an elastic solid. (English) Zbl 0601.73026
Rayleigh waves propagating at the plane material boundary of an elastic half-space containing a distribution of voids (vacuous pores) are considered. It is found that the waves are generally dispersive and that the dispersion is caused by both the surface stresses exerted by the boundary and the voids inside. If the body is incompressible, voids have no influence on the motion. In the case of small frequency, the effect of the voids is just to modify the speed of propagation. If the frequency is small and surface stresses are due to a residual surface tension, there exists a critical wavelength at which waves propagate with the speed of pure shear waves and below which the motion is not possible. The critical wave length varies directly with the surface tension and the effect of the voids is to widen the range of wavelengths for which the waves exist.
Keywords:
phase velocity equation; small frequency waves; Rayleigh waves; plane material boundary; elastic half-space; distribution of voids; dispersion; surface stressesReferences:
| [1] | Chandrasekharaiah, D. S., (Proc. Indian Acad. Sci., 86A (1977)), 383 · Zbl 0373.73031 |
| [2] | Chandrasekharaiah, D. S., Beitr. Geophys., 86, 397 (1977) |
| [3] | Chandrasekharaiah, D. S., Acta mech., 41, 283 (1981) |
| [4] | D.S. CHANDRASEKHARAIAH. To be published.; D.S. CHANDRASEKHARAIAH. To be published. |
| [5] | Chandrasekharaiah, D. S., Acta mech. (1986) |
| [6] | Chandrasekharaiah, D. S.; Srikantiah, K. R., Beitr. Geophys., 93, 133 (1984) |
| [7] | Cowin, S. C., J. Elasticity, 14, 227 (1984) · Zbl 0535.73081 |
| [8] | Cowin, S. C., Q. J. mech. appl. Math., 37, 441 (1984) · Zbl 0543.73016 |
| [9] | Cowin, S. C., J. Elasticity, 15, 185 (1985) · Zbl 0564.73044 |
| [10] | Cowin, S. C., ASME J. appl. Mech., 52, 351 (1985) |
| [11] | Cowin, S. C.; Nunziato, J. W., J. Elasticity, 13, 125 (1983) · Zbl 0523.73008 |
| [12] | Cowin, S. C.; Puri, P., J. Elasticity, 13, 157 (1983) · Zbl 0547.73077 |
| [13] | Ewing, W. M.; Jardetsky, W. S.; Press, F., Elastic Waves in Layered Media, ((1957), McGraw-Hill: McGraw-Hill New York), 32 · Zbl 0083.23705 |
| [14] | Gurtin, M. E.; Murdoch, A. I., Archs rational mech. Analysis, 59, 389 (1975) · Zbl 0349.73008 |
| [15] | Gurtin, M. E.; Murdoch, A. I., J. appl. Phys., 47, 4414 (1976) |
| [16] | Gurtin, M. E.; Murdoch, A. I., Int. J. Solids Struct., 14, 431 (1978) · Zbl 0377.73001 |
| [17] | Iesan, D., J. Elasticity, 15, 215 (1985) · Zbl 0573.73006 |
| [18] | Murdoch, A. I., J. Mech. Phys. Solids, 24, 137 (1976) · Zbl 0342.73017 |
| [19] | Murdoch, A. I., Q. Jl Mech. appl. Math., 29, 245 (1976) · Zbl 0398.73003 |
| [20] | Murdoch, A. I., Z. Angew. Math. Phys., 27, 599 (1976) |
| [21] | Murdoch, A. I., Q. Jl Mech. appl. Math., 31, 531 (1978) · Zbl 0392.73089 |
| [22] | Murdoch, A. I., Int. J. Engng Sci., 16, 131 (1978) · Zbl 0373.73077 |
| [23] | Nunziato, J. W.; Cowin, S. C., Archs rational mech. Analysis, 72, 175 (1979) · Zbl 0444.73018 |
| [24] | Passman, S. L., J. Elasticity, 14, 201 (1984) · Zbl 0535.73080 |
| [25] | Puri, P.; Cowin, S. C., J. Elasticity, 15, 167 (1985) · Zbl 0564.73027 |
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.
