Rapid indentation of transversely isotropic or orthotropic half-spaces

Journal of Applied Mechanics, Transactions ASME

Volumn 68, Issue 3, 2001, Pages 490-495

  Brock, L M ^a   Georgiadis, H G ^b   Hanson, M T ^a  

^a UNIVERSITY OF KENTUCKY   (United States)

^b NATIONAL TECHNICAL UNIVERSITY OF ATHENS   (Greece)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000239118     PISSN: 00218936     EISSN: 15289036     Source Type: Journal    
DOI: 10.1115/1.1365154     Document Type: Article

References (25)

1. Johnson, K. L., 1985, Contact Mechanics, Cambridge University Press, Cambridge, UK.
2. Fichera, G., 1972, “Boundary Value Problems of Elasticity With Unilateral Constraints,” in Handbuch der Physik, VIa/2, Springer, Berlin, pp. 391-424.
3. Muskhelishvili, N. I., 1975, Some Basic Problems of the Mathematical Theory of Elasticity, Noordhoff, Leyden.
4. Gladwell, G. M. L., 1980, Contact Problems in the Classical Theory of Elasticity, Sijthoff and Noordhoff, Alphen aan Rijn.
5. Willis, J. R., 1966, “Hertzian Contact of Anisotropic Bodies,” J. Mech. Phys. Solids, 16, pp. 163-176.
6. Fan, H., and Keer, L. M., 1994, “Two-Dimensional Contact on an Anisotropic Half-Space,” ASME J. Appl. Mech., 61, pp. 250-255.
7. Hanson, M. T., 1992, “The Elastic Field for Spherical Hertzian Contact Including Sliding Friction for Transverse Isotropy,” ASME J. Tribol., 114, pp. 606-611.
8. Bedding, R. J., and Willis, J. R., 1973, “Dynamic Indentation of an Elastic Half-Space,” J. Elast., 3, pp. 289-309.
9. Georgiadis, H. G., and Barber, J. R., 1993, “On the Super-Rayleigh/Subseismic Elastodynamic Indentation Problem,” J. Elast., 31, pp. 141-161.
10. Brock, L. M., and Georgiadis, H. G., 1994, “Dynamic Frictional Indentation of an Elastic Half-Plane by a Rigid Punch,” J. Elast., 35, pp. 223-249.
11. Borodich, F. M., 2000, “Some Contact Problems of Anisotropic Elastodynam-ics: Integral Characteristics and Exact Solutions,” Int. J. Solids Struct., 37, pp. 3345-3373.
12. Payton, R. G., 1983, Elastic Wave Propagation in Transversely Isotropic Media, Martinus Nijhoff, The Hague.
13. Sokolnikoff, I. S., 1956, Mathematical Theory of Elasticity, 2nd ed., McGraw-Hill, New York.
14. Scott, R. A., and Miklowitz, J., 1967, “Transient Elastic Waves in Anisotropic Plates,” ASME J. Appl. Mech., 34, pp. 104-110.
15. Nye, J. F., 1957, Physical Properties of Crystals, Their Representation by Tensors and Matrices, Clarendon Press, Oxford, UK.
16. Theocaris, P. S., and Sokolis, D. P., 2000, “Invariant Elastic Constants and Eigentensors of Orthorhombic, Tetragonal, Hexagonal and Cubic Crystalline Media,” Acta Crystallogr., A56, pp. 319-331.
17. Achenbach, J. D., 1973, Wave Propagation in Elastic Solids, North-Holland, Amsterdam.
18. Sneddon, I. N., 1972, The Use of Integral Transforms, McGraw-Hill, New York.
19. van der Pol, B., and Bremmer, H., 1950, Operational Calculus Based on the Two-Sided Laplace Integral, Cambridge University Press, Cambridge, UK.
20. Brock, L. M., 1991, “Exact Transient Results for Pure and Grazing Indentation With Friction,” J. Elast., 33, pp. 119-143.
21. Norris, A. N., and Achenbach, J. D., 1984, “Elastic Wave Diffraction by a Semi-Infinite Crack in a Transversely Isotropic Material,” Q. J. Mech. Appl. Math., 37, pp. 565-580.
22. Buchwald, V. T., 1961, “Rayleigh Waves in Transversely Isotropic Media,” Q. J. Mech. Appl. Math., 14, pp. 293-317.
23. Brock, L. M., 1998, “Analytical Results for Roots of Two Irrational Functions in Elastic Wave Propagation,” J. Aust. Math. Soc. B, Appl. Math., B40, pp. 72-79.
24. deHoop, A. T., 1960, “A Modification of Cagniard’s Method for Seismic Pulse Problems,” Appl. Sci. Res., B8, pp. 349-356.
25. Hadamard, J., 1908, “Theories des Equations aux Derives Partielles Lineares Hyperboliques et du Problem de Cauchy,” Acta Math., 31, pp. 333-380.