The incompressible limit in linear anisotropic elasticity, with applications to surface waves and elastostatics

Journal of the Mechanics and Physics of Solids

Volumn 50, Issue 7, 2002, Pages 1453-1468

  Destrade, M ^a   Martin, P A ^b   Ting, T C T ^c  

^a TEXAS A AND M UNIVERSITY   (United States)

^b Department of Geology and Geological Engineering   (United States)

^c 1120 Science and Engineering Offices   (United States)

Author keywords

Anisotropic material; Dislocations; Dynamics; Elastic material; Stress waves

Indexed keywords

ANISOTROPY; COMPRESSIBILITY; CRACKS; DEFORMATION; STIFFNESS; STRESSES; SURFACE WAVES;

ANISOTROPIC MATERIALS;

ELASTICITY;

EID: 0036642788     PISSN: 00225096     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0022-5096(01)00121-1     Document Type: Article

References (33)

1. The existence of one-component surface waves and exceptional subsequent transonic states of types 2, 4, and E1 in anisotropic elastic media
2. A proof of the equivalence of the Stroh and Lekhnitskii sextic equations for plane anisotropic elastostatics
3. Synthesis of the sextic and the integral formalism for dislocations, Greens function and surface wave (Rayleigh wave) solutions in anisotropic elastic solids
4. An image force theorem for dislocations in bicrystals
5. The application of the Stroh formalism to prestressed elastic media
6. Foundations of the theory of surface waves in anisotropic elastic materials
7. The explicit secular equation for surface waves in monoclinic elastic crystal
8. Surface waves in orthotropic incompressible materials
9. On surface waves and deformations in a pre-stressed incompressible elastic solids
10. The continuum theory of lattice defects
11. Surface waves in pre-stressed Mooney material
12. On the theory of stability of laminated composites
13. Elastic surface waves in crystal
14. On waves propagated along the plane surface of an elastic solid
15. Some new ideas in the theory of surface acoustic waves in anisotropic media
16. Elastic waves in orthotropic incompressible materials and reflection from an interface
17. Interfacial waves in incompressible monoclinic materials with an interlayer
18. An area modulus of elasticity: Definition and properties
19. Elastic waves in monoclinic incompressible materials and reflection from an interface
20. Steady state problems in anisotropic elasticity
21. Orthotropic and transversely isotropic stress-strain relations with built-in coordinate transformation
22. i in the Stroh formalism of anisotropic elasticity
23. A modified Lekhnitskii formalism à la Stroh for anisotropic elasticity and classification of the 6 × 6 matrix N
24. Anisotropic elastic constants that are structurally invariant
25. Can a linear anisotropic elastic material have a uniform contraction under a uniform pressure?
26. 3 = 0
27. Image force on line dislocations in anisotropic elastic half-spaces with a fixed boundary
28. Surface waves in biaxially-stressed elastic media
29. A general analysis method for singularities in composite structures