1. | Lamb H. On the Propagation of Tremors over the Surface of an Elastic Solid // Philosophical Transactions of the Royal Society of London. Ser. A. 1904. V. 203. P. 1-42. |
2. | Lamb H. On waves due to a travelling disturbance, with an application to waves in superposed fluids // Philosophical Magazine. 1916. V. 13. P. 386-399, 539-548. |
3. | Ewing W.M., Jardetzky W.S., Press F. Elastic Waves in Layered Media. N.Y.: McGraw-Hill, 1957. |
4. | Strutt J.W. On wave propagating along the plane surface of an elastic solid // Proc. London Math. Soc. 1885. V. 17. P. 4-11. |
5. | Gurtin M.E. The Linear Theory of Elasticity In: Handbuch der Physik Bd. VIa/II. Springer. 1972. |
6. | Nakano H. Some problems concerning the propagations of the disturbances in and on semi-infinite elastic solid // Geophysical Magazine. 1930. V. 2. P. 189-348. |
7. | Nakano H. On Rayleigh waves // Japan Journal of Astronomy and Geophysics. 1925. V. 2. P. 233-326. |
8. | Lapwood E.R. The disturbance due to a line source in a semiinfinite elastic medium // Philos. Trans. R. Soc. London. Ser. A. 1949. V. 242. P. 63-100. |
9. | Cagniard L. Reflexion et refraction des ondes seismiques progressives. Paris: Gauthier-Villard. 1939. 255 p. |
10. | de Hoop A.T. A modification of Cagniard's method for solving seismic pulse problems // Appl. Sci. Res. Ser. B. 1960. V. 8. № 4. P. 349-356. |
11. | de Hoop A.T. Theoretical determination of the surface motion of a uniform elastic half-space produced by a dilatational impulsive point source. In: La Propagation des Ebranlements dans les Milieux Heterogenes. Colloques Internationaux du Centre National de la Recherche Scientique. Marseille. 1961. P. 21-32. |
12. | Garvin W.W. Exact transient solution of the buried line source problem // Proc. of Roy. Soc. 1956. V. 234. P. 528-541. |
13. | Sanchez-Sesma F., Iturraran-Viveros U. The classic Garvin's problem revisited // Bulletin of the Seismological Society of America. 2006. V. 96. P. 1344-1351. |
14. | Sanchez-Sesma F., Iturraran-Viveros U., Kausel E. Garvin's generalized problem revisited // Soil Dynamics and Earthquake Engineering. 2013. V. 47. P. 4-15. |
15. | Willams D.P., Craster R.V. Cagniard-de Hoop path perturbations with aplications to nongeometric wave arrivals // J. Engineering Mathematics. 2000. V. 37. P. 253-272. |
16. | Pekeris C.L. The seismic surface pulse // Proc. Nat. Acad. Sci. USA. 1955. V. 41. P. 469-480. |
17. | Pekeris C.L. The seismic buried pulse // Proc. Nat. Acad. Sci. USA. 1955. V. 41. P. 629-639. |
18. | Pekeris C.L., Lifson H. Motion of the surface of a uniform elastic half-space produced by a burned pulse // J. Acoust. Soc. Am. 1957. V. 29. P. 1233-1238. |
19. | Pekeris C.L., Longman I.M. The motion of the surface of a uniform elastic half-space produced by a buried torque-pulse // Geophys. J. 1958. V. 1. P. 146-153. |
20. | Pekeris C.L., Abramovici F., Alterman Z. Propagation of an SH-torque pulse in a layered solid // Bull. Seismol. Soc. Am. 1963. V. 53. P. 39-57. |
21. | Pinney E. Surface motion due to a point source in a semi-infinite elastic medium // Bull. Seism. Soc. Am. 1954. V. 44. P. 571-596. |
22. | Payton R.G. Transient motion of an elastic half—space due to a moving surface line load // Int. J. Engineering Sci. 1967. V. 5. P. 49-79. |
23. | Payton R.G. Epicenter motion of an elastic half—space due to buried stationary and moving line sources // Int. J. Solids Struct. 1968. V. 4. P. 287-300. |
24. | Payton R.G. Epicenter motion of a transversely isotropic elastic half—space due to a suddenly applied buried point source // Int. J. Engineering Sci. 1979. V. 17. P. 879-887. |
25. | Johnson L.R. Green's function for Lamb's problem // Geophys. J. R. Astron. Soc. 1974. V. 37. P. 99-131. |
26. | Sato R. Seismic waves in the near field // J. Phys. Earth. 1972. V. 20. P. 357-375. |
27. | Kawasaki I., Suzuki Y., Sato R. Seismic waves due to double couple source in a semi—infinite space. Part 1 // Zisin. 1972. V. 25. P. 207-217. |
28. | Kawasaki I., Suzuki Y., Sato R. Seismic waves due to double couple source in a semi-infinite space. Part 2 // Zisin. 1972. V. 25. P. 333-342. |
29. | Kausel E. Fundamental Solutions of Elastodynamics. N.Y.: Cambridge Univ. Press. 2006. 251 p. |
30. | Петрашень Г.И. О задаче Лэмба в случае упругого полупространства // Докл. АН СССР. 1949. Т. 64. С. 649-652. |
31. | Петрашень Г.И., Марчук Г.И., Огурцов К.И. О задаче Лэмба в случае полупространства // Уч. зап. ЛГУ. сер. мат. 1950. № 135. Вып. 21. С. 71-118. |
32. | Огурцов К.И., Петрашень Г.И. Динамические задачи для упругого полупространства в случае осевой симметрии // Уч. зап. ЛГУ. сер. мат. 1951. № 149. Вып. 24. С. 3-117. |
33. | Онисько Н.И., Шемякин Е.И. Движение свободной поверхности однородного грунта при подземном взрыве // ПМТФ. 1961. № 4. С. 82-93. |
34. | Смирнов В.И., Соболев С.Л. Новый метод решения плоской задачи упругих колебаний // Тр. Сейсмол. ин-та АН СССР. 1932. № 20. 37 с. |
35. | Смирнов В.И., Соболев С.Л. О применении нового метода к изучению упругих колебаний в пространстве при наличии осевой симметрии // Тр. Сейсмол. ин-та АН СССР. 1933. № 29. С. 43-51. |
36. | Lax P.D., Wendroff В. Difference schemes for hyperbolic equations with high order of accuracy // Comm. Pure API. Math. 1964. V. 17. P. 381-398. |
37. | Wendroff B. Theoretical Numerical Analysis. N.Y.: Academic Press. 1967. |
38. | Finlayson B.A. Numerical Methods for Problems With Moving Fronts. Ravenna Park Pub. 1992. 605 p. |
39. | Holmes N., Belytschko T. Postprocessing of finite element transient response calculations by digital filters // Computers and Structures. 1976. V. 6. P. 211-216. |
40. | Moczo P. et al. Hybrid modeling of P-SV seismic motion at inhomogeneous viscoelastic topographic structures // Bull. Seism. Soc. Am. 1997. V. 87. P. 1305-1323. |
41. | Levander A.R. Fourth-order finite-difference P-SY seismograms // Geophysics. 1988. V. 53. P. 1425-1436. |
42. | Moczo P., Kristek J., Vavrycuk V., Archuleta R.J., Halada L. 3D heterogeneous staggered-grid finite-difference modeling of seismic motion with Vume harmonic and arithmetic averaging of elastic moduli and densities // Bull. Seism. Soc. Am. 2002. V. 92. № 8. P. 3042-3066. |
43. | Shuo M., Archuleta R.J,, Liu P. Hybrid modeling of elastic P-SV wave motion: A combined finite-element and staggered-grid finite-difference approach // Bulletin of the Seismological Society of America. 2004. V. 94. № 4. P. 1557-1563. |
44. | Кравцов A.B., Кузнецов С.В., Секерж-Зенькович С.Я. Конечноэлементные модели в задаче Лэмба // Изв. РАН. МТТ. 2011. № 6. С. 160-169. |