Summary
Some earthquake models based on the elastic theory of dislocations are presented. Earthquake occurrence is modelled as the opening of a crack in an infinite elastic medium triggered by the action of localized stress distributions. The fracture is modelled as a continuum of infinitesimal dislocations. This approach allows us to have complete information about the stress field and the displacement field and to make a first step towards understanding the relation between source mechanism and stress distributions.
Riassunto
Si presentano alcuni modelli di meccanismi sismici basati sulla teoria elastica delle dislocazioni. Un terremoto è modellato dall'apertura di una frattura in un mezzo elastico infinito causata dall'azione di distribuzioni localizzate di sforzi. La frattura è rappresentat tramite un continuo di distribuzioni infinitesime. In questo modo si possono ricavare i campi di spostamento e di sforzo causati dalla frattura. I risultati ottenuti sono intesi come un primo approccio alla comprensione dei legami fra meccanismo sismico e distribuzione dello sforzo tettonico.
Резюме
Предлагаются некоторые модели землетрясений, основанные на упругой теории дислокаций. Моделируется возникновение землетрясений, как открытие трещины в бесконечной упругой среде, инициированное действием локаликонечно малых дислокаций. Этот подход позволяет получить полную информацию о поле напряжений и поле смещений и сделать первый шаг в понимании связи мещду механизмом осточник⦎ и распределениями напрящений.
Similar content being viewed by others
References
J. A. Steketee:Can. J. Phys.,36, 192 (1958).
J. A. Steketee:Can. J. Phys.,36, 1168 (1958).
M. A. Chinnery:Bull. Seismol. Soc. Am.,51, 355 (1961).
M. A. Chinnery:Bull. Seismol. Soc. Am.,53, 921 (1963).
F. Press:J. Geophys. Res.,70, 2395 (1965).
J. C. Jaeger andN. G. W. Cook: inFundamentals of Rock Mechanics (London, 1975).
K. Rybicki:Mater. Pr. Inst. Geofiz.,62, 141 (1973).
J. C. Savage andR. O. Burford:J. Geophys. Res.,78, 832 (1973).
J. Melosh:Pure Appl. Geophys.,115, 429 (1977).
B. A. Bilby andJ. D. Eshelby: inFracture—An Advanced Treatise, edited byH. Liebowitz, Vol.1 (New York, N. Y., 1968).
N. I. Muskhelishvili:Singular Integral Equations, Chapt. 10 (Leyden, 1977).
V. I. Smirnov:A Course of Higher Mathematics, Vol.4, Chapt. 1 (Oxford, 1964).
A. E. H. Love: inA Treatise on the Mathematical Theory of Elasticity (New York, N. Y., 1944).
M. Wyss andJ. N. Brune:J. Geophys. Res.,73, 4681 (1968).
Author information
Authors and Affiliations
Additional information
Also at Dipartimento di Scienze della Terra dell'Università, Via della Montagnola 30, 60100 Ancona, Italia.
Rights and permissions
About this article
Cite this article
Bonafede, M., Dragoni, M. Stress drop and slip vector on a dislocation in an elastic space due to localized force distributions. Il Nuovo Cimento C 3, 461–480 (1980). https://doi.org/10.1007/BF02507349
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02507349