THERMAL SCIENCE
International Scientific Journal
MODELING OF DEFORMATION PROCESSES IN LITHOSPHERIC STRUCTURES DURING THEIR STATIC INTERACTION
ABSTRACT
We consider a model of lithospheric structures contacting along rectilinear geological faults as a system of composite plates on an elastic foundation. A simplification of the block element method for different-sized blocks is proposed. We also describe an approach that is a modification of the block element method using the method of eigenfunctions. The method is considered on the example of a static interaction problem of extended plates on the surface of an elastic layer for a given surface load. As a result we obtain the representations of solutions describing the surface displacements. The application of the proposed approach will allow us to draw conclusions about the effect of the physical and mechanical properties of lithospheric structures and the type of fault on the nature of displacements in the geological environment which are applicable for studying the structure of faults in the upper part of the earth's crust.
KEYWORDS
PAPER SUBMITTED: 2018-10-22
PAPER REVISED: 2018-11-09
PAPER ACCEPTED: 2018-12-13
PUBLISHED ONLINE: 2019-05-05
THERMAL SCIENCE YEAR
2019, VOLUME
23, ISSUE
Supplement 2, PAGES [S591 - S597]
- Sadovskiy, M. A., et al., Deformirovanie geofizicheskoj sredy i sejsmicheskij process, (Deformation of the Geophysical Environment and Seismic Process - in Russian), Nauka Press, Moscow, 1987
- Ding, E. J., Lu, Y. N., Analytical Treatment for a Spring-Blocks Model, Phys. Rev. Lett., 70 (1993), 23, pp. 3627-3630
- Chandrashekhara, K., Theory of Plates, Universities Press, Himayat Nagar, India, 2001
- Eremeev, V. A., Zubov, L. M., Mekhanika uprugih obolochek, (Mechanics of Elastic Shells - in Rus-sian), Nauka Press, Moscow, 2008
- Haddad, M., et al., Equivalence Theory Applied to Anisotropic Thin Plates, Scientific Research. Engi-neering, 3 (2011), 7, pp. 669-679
- Volmir, A. S., Nelinejnaja dinamika plastinok i obolochek, (Nonlinear Dynamics of Plates and Shells - in Russian), Nauka Press, Moscow, 1972
- Vorovich, I. I., Babeshko, V. A., Dinamicheskie smeshannye zadachi teorii uprugosti dlja neklas-sicheskih oblastej, (Dynamic Mixed Problems of Elasticity Theory for Non-Classical Domains - in Rus-sian), Nauka Press, Moscow, 1979
- Noble, B., Methods Based on the Wiener-Hopf Technique for the Solution of Partial Differential Equa-tions, Pergamon Press, New York, USA, 1958
- Kolesnikov, M. N., Telyatnikov, I. S., To the Research Methods of Faults Under the Vibration Impacts, Scientific Journal of KubSAU, 121 (2016), Sept., pp. 647-659
- Eslami, M. R., et al., Theory of Elasticity and Thermal Stresses, Springer Netherlands, Heidelberg, Ger-many, 2013
- Melan, E., Parkus, G., Wermespannungen Infolge Stationerer Temperaturfelder, Springer-Verlag, Wien, Austria, 1953
- Vorovich, I. I., et al., Dinamika massivnyh tel i rezonansnye yavleniya v deformiruemyh sredah, (Dy-namics of Massive Bodies and Resonance Phenomena in Deformable Media - in Russian), Scientific world Press, Moscow, 1999
- Mijuca, D. M., et al., A New Multifield Finite Element Method in Steady State Heat Analysis, Thermal Science, 9 (2005), 1, pp. 111-130
- Djoković, J. M., et al., Interfacial Crack Behavior in the Stationary Temperature Field Conditions, Thermal Science, 18 (2014), 17, pp. 169-178
- Babeshko, V. A., Babeshko, O. M., Formulas for the Factorization of Some Meromorphic Matrix Func-tions, Rep. of Academy of Sciences, 399 (2004), 1, pp. 163-167
- Babeshko, V. A., et al., Block Elements and Analytical Solutions of Boundary-Value Problems for Sets of Differential Equations, Doklady Physics, 59 (2014), 1, pp. 30-34