Perturbation formula for phase velocity of Rayleigh waves in prestressed anisotropic media

Journal of Elasticity

Volumn 85, Issue 1, 2006, Pages 21-37

  Tanuma, Kazumi ^a   Man, Chi Sing ^b  

^a GUNMA UNIVERSITY   (Japan)

^b UNIVERSITY OF KENTUCKY   (United States)

Author keywords

Nondestructive evaluation; Phase velocity; Prestressed anisotropic media; Rayleigh waves; Stroh formalism

Indexed keywords

ANISOTROPY; ELASTICITY; NONDESTRUCTIVE EXAMINATION; PERTURBATION TECHNIQUES; STRESS ANALYSIS; TENSORS; WAVE PROPAGATION;

ELASTICITY TENSOR; PHASE VELOCITY; RAYLEIGH WAVES; STROH FORMALISM;

VELOCITY MEASUREMENT;

EID: 33747457038     PISSN: 03743535     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10659-006-9067-z     Document Type: Article

References (14)

1. Hoger, A.: On the determination of residual stress in an elastic body. J. Elast. 16, 303-324 (1986)
2. Man, C.-S., Lu, W.Y.: Towards an acoustoelastic theory for measurement of residual stress. J. Elast. 17, 159-182 (1987)
3. Man, C.-S., Carlson, D.E.: On the traction problem of dead loading in linear elasticity with initial stress. Arch. Ration. Mech. Anal. 128, 223-247 (1994)
4. Huang, M., Man, C.-S.: Constitutive relation of elastic polycrystal with quadratic texture dependence. J. Elast. 72, 183-212 (2003)
5. Man, C.-S.: Hartig's law and linear elasticity with initial stress. Inverse Problems 14, 313-319 (1998)
6. Tanuma, K., Man, C.-S.: Angular dependence of Rayleigh-wave velocity in prestressed polycrystalline media with monoclinic texture. J. Elast. 69, 181-214 (2002)
7. Delsanto, P.P., Clark Jr., A.V.: Rayleigh wave propagation in deformed orthotropic materials. J. Acoust. Soc. Am. 81, 952-960 (1987)
8. Barnett, D.M., Lothe, J.: Synthesis of the sextic and the integral formalism for dislocations, Green's functions, and surface waves in anisotropic elastic solids. Phys. Norv. 7, 13-19 (1973)
9. Chadwick, P., Smith, G.D.: Foundations of the theory of surface waves in anisotropic elastic materials. Adv. Appl. Mech. 17, 303-376 (1977)
10. Barnett, D.M., Lothe, J., Nishioka, K., Asaro, R.J.: Elastic surface waves in anisotropic crystals: a simplified method for calculating Rayleigh velocities using dislocation theory. J. Phys. F: Metal Phys. 3, 1083-1096 (1973)
11. Barnett, D.M., Lothe, J.: Consideration of the existence of surface wave (Rayleigh wave) solutions in anisotropic elastic crystals. J. Phys. F: Metal Phys. 4, 671-686 (1974)
12. Barnett, D.M., Lothe, J.: Free surface (Rayleigh) waves in anisotropic elastic half-spaces: the surface impedance method. Proc. R. Soc. Lond. A 402, 135-152 (1985)
13. Royer, D., Dieulesaint, E.: Rayleigh wave velocity and displacement in orthorhombic, tetragonal, hexagonal, and cubic crystals. J. Acoust. Soc. Am. 76, 1438-1444 (1984)
14. Man, C.-S.: Effects of crystallographic texture on the acoustoelastic coefficients of polycrystals. Nondestr. Test. Eval. 15, 191-214 (1999)