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Título del libro: Rock Stress And Earthquakes : Proceedings Of The Fifth International Symposium On In-Situ Rock Stress, Beijing, China, 25-27 August 2010
Título del capítulo: 3D Mohr diagram to explain reactivation of pre-existing planes due to changes in applied stresses

Autores UNAM:
SHUNSHAN XU; ANGEL FRANCISCO NIETO SAMANIEGO; SUSANA ALICIA ALANIZ ALVAREZ;
Autores externos:

Idioma:
Inglés
Año de publicación:
2010
Palabras clave:

Friction; Coefficient of frictions; Critical slip lines; Differential stress; Intermediate stress; Non-parallel planes; Normal and shear stress; Orthorhombic symmetry; Principal stress; Shear stress


Resumen:

In this work, we analyze the characteristics of three-dimensional Mohr diagram. Based on this analysis, the conditions of reactivation of pre-existing planes on a Mohr diagram due to changes in applied stress state are investigated. Our results indicate that: (1) On a three-dimensional Mohr diagram, one point, which is an intersection of three cycles (arcs) with direction angles ?1, ?2 and ?3, indicates a stress state in terms of shear and normal stresses, which represents four non-parallel planes due to the orthorhombic symmetry of the stress tensor. This implies that four planes may be reactivated, as long as a point on the diagram is located above the critical slip line; (2) The reactivated planes that originally had the identical normal and shear stresses can have two different angles of pitch; (3) If the planes represented by a point on the diagram rotate a magnitude about a certain axis, some of them could be reactivated, whereas the others could not be reactivated; (4) Reactivation of a pre-existing plane is dependent on not only change in the maximum differential stress (s1-s3), but also the value of intermediate stress (s2). No matter what the maximum differential stress increases or decreases or maintains constant, a pre-existing plane may be reactivated due to changes in any principal stresses. (1) The rang e of the dips of the reactivated planes is larger for the smaller values of coefficient of friction µ and cohesion C. Also, the range of dip of the reactivated planes increases or decreases as the magnitudes of the principal stresses change. © 2010 Taylor & Francis Group, London.


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