Summary
The paper introduces a new model earthquake process based on the theory of micromorphic continua. The processes in a focal region are described by deformations of microstructure in time. It is assumed that the fracturing processes as well as phase transformation of metamorphic phenomena have caused in the past certain non-reversible changes which determine the microstructure of focal region. These internal microstructural elements form the attaching points around which the couple stresses arise. The properties of focal region are determined by the constitutive equations. The micromorphic mechanics considers the existence of body couples as determined by a regional stresses and looks after a response field of stresses, stress moments and strains in the focal region. Further, it is explained how microdislocation field is connected with microdeformations and micromorphic structure. In the considered earthquake structure model a microanisotropy is assumed through the tensor of microinertia. This tensor describes a distribution of microelements. Simple solutions of wave processes in a focal region are presented. The dispersion of waves is discussed.
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References
E. Kröner undA. Seeger,Nicht-lineare Elastizitätstheorie der Versetzungen und Eigenspannungen, Arch. Rational Mech. Anal.3 (1959), 97–119.
E. S. Suhubi andA. C. Eringen,Nonlinear Theory of Micro-Elastic Solids—II, Int. J. Engng. Sci. vol. 2, Pergamon Press (1964), 389–404.
A. C. Eringen,Theory of Micropolar Elasticity, Fracture ed.H. Liebowitz, Acad. Press, New York and London, vol. 2 (1968), 621–729.
R. Teisseyre,Dislocational Representation of Thermal Stresses, Acta Geophys. Pol.17 (1969), 3–12.
S. I. Ben-Abraham,Generalized Stress and Non-Riemannian Geometry. Fundamental Aspects of Dislocation Theory, Nat. Bur. Stand. (U.S), Spec. Publ. 317, II (1970), 943–962.
A. C. Eringen andW. D. Claus, Jr.,A Micromorphic Approach to Dislocation Theory and its Relation to Several Existing Theories. Fundamental Aspects of Dislocation Theory, Nat. Bur. Stand. (U.S.) Spec. Publ., 317, II (1970), 1023–1040.
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Teisseyre, R. Earthquake processes in a micromorphic continuum. PAGEOPH 102, 15–28 (1973). https://doi.org/10.1007/BF00876588
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DOI: https://doi.org/10.1007/BF00876588