Geometry of stress function surfaces for an asymmetric continuum

• Autorzy: Yajima T. , Yamasaki K. , Nagahama H.

Identyfikatory

DOI

10.2478/s11600-013-0142-0

• Języki publikacji: EN

Abstrakty

EN

A two-dimensional stress field of dislocation or fault is geometrically studied for an asymmetric con tinuum. For geometric surfaces of the stress and couple-stress functions, the mean and Gaussian curvatures are derived. The mean curvature of couple-stress function surface is connected with the asymmetr ic of stress tensor. Moreover, the Gaussian curvature of stress function surface is characterized by bo th the stress and couple-stress. On the other hand, th e mean curvature of stress function surface is not affected by the asy mmetry of stress. Based on these geometric expressions, the Coulomb’s failure criterion and the friction coefficient are expressed by the curvatur es of couple-stress function surface. Moreover, geometric structures of st ress and couple stress function surfaces are shown for edge and wedge dislocations as faults. The curvatures of these surfaces show that the ef fect of couple-stress is constrained around the dislocations only.

Słowa kluczowe

EN

symmetric continuum; stress function; curvatures; Coulomb’s failure criterion; dislocations

• Wydawca: Instytut Geofizyki PAN ; Springer
• Czasopismo: Acta Geophysica
• Rocznik: 2013
• Tom: Vol. 61, no. 6
• Strony: 1703--1721
• Opis fizyczny: Bibliogr.

Twórcy

autor

Yajima T.

• Department of Earth and Planetary Sciences, Faculty of Science, Kobe University, Kobe, Japan

autor

Yamasaki K.

• Department of Earth and Plan etary Sciences, Faculty of Science, Kobe University, Kobe, Japan

autor

Nagahama H.

• Department of Geoenvironmental Sciences, Graduate School of Science, Tohoku University, Sendai, Japan

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