Abstract
The limitation of modeling complicated crust structures is one cause of difficulty in studying earthquake phenomena. When a stochastic model is used, the homogenization techniques based on the bounding medium theory, which constructs two deterministic models that bound the mean behavior of the stochastic model, enables us to efficiently analyze the model with the evaluation of variability of the earthquake processes. This paper presents the application of the homogenization techniques to two earthquake problems, the earthquake wave propagation and the surface earthquake fault formation. Numerical simulation is made and the results are compared with available data.
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References
J. Rice: New perspectives on crack and fault dynamics, in Mechanics for a New Millennium (Proceedings of the 20th International Congress of Theoretical and Applied Mechanics, 27 Aug–2 Sept 2000, Chicago), eds. H. Aref and J. W. Phillips, Kluwer, pp. 1–23, 2001.
Lay, T. and C. Wallace: Modern Global Seismology, Academic press, 1995.
R.G. Ghanem and P.D. Spanos: Stochastic finite elements: a spectral approach, Springer, 1991.
S. Nemat-Nasser and M. Hori: Micromechanics: overall properties of heterogeneous materials, 2nd edition, North-Holland, 1998.
M. Hori and S. Munashinge: Generalized Hashin-Shtrikman variational principle for boundary-value problem of linear and non-linear heterogeneous body, Mechanics of Materials, Vol. 31, pp. 471–486, 1999.
D.R. Smith: Singular-perturbation theory, Cambridge University Press, 1985.
M. Hori and T. Ichimura: Macro-micro analysis for wave propagation in highly heterogeneous media-prediction of strong motion distributions in metropolis-, in Proceedings of the International Workshop, Wave 2000 (ed. by N. Chouw and G. Schmid), Bochum, Germany, Dec. 13–15, Balkema, pp. 379–398, 2000.
M. Anders and M. Hori: Stochastic finite element method for elasto-plastic body, Int. J. Numer. Meth. Engng., Vol. 46, 1897–1916, 1999.
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© 2003 Kluwer Academic Publishers
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Hori, M., Ichimura, T., Nakagawa, H. (2003). Homogenization Techniques Applied to Earthquake Problems. In: Movchan, A.B. (eds) IUTAM Symposium on Asymptotics, Singularities and Homogenisation in Problems of Mechanics. Solid Mechanics and Its Applications, vol 113. Springer, Dordrecht. https://doi.org/10.1007/1-4020-2604-8_33
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DOI: https://doi.org/10.1007/1-4020-2604-8_33
Publisher Name: Springer, Dordrecht
Print ISBN: 978-1-4020-1780-3
Online ISBN: 978-1-4020-2604-1
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