Инд. авторы: Korobeynikov S.N., Reverdatto V.V., Polyanskii O.P., Sverdlova V.G., Babichev A.V.
Заглавие: Computer simulation of underthrusting and subduction due to collision of slabs
Библ. ссылка: Korobeynikov S.N., Reverdatto V.V., Polyanskii O.P., Sverdlova V.G., Babichev A.V. Computer simulation of underthrusting and subduction due to collision of slabs // Numerical Analysis and Applications. - 2009. - Vol.2. - Iss. 1. - P.58-73. - ISSN 1995-4239. - EISSN 1995-4247.
Внешние системы: DOI: 10.1134/S1995423909010066; SCOPUS: 2-s2.0-65249099604;
Реферат: eng: We come up with a mathematical simulation of a collision between lithospheric slabs (plates) where one slab is forced into the mantle beneath another. Problems of the Earth's crust and mantle deformation are solved numerically: for spatial discretization of equations of deformable solid mechanics, a finite-element method is used, and for evolution of the collision process, a stepwise integration of quasistatic deformation equations is applied. Problems of plate motion are solved within a geometrically nonlinear setting in a two-dimensional approximation (plane deformation) with due regard for large deformations of bodies and contact interactions of slabs with the mantle. A numerical solution is obtained via a MSC.Marc 2005 code, encompassing formulations of equations with required types of nonlinearities. A part of the Earth's crust that has no tendency to delving into the mantle is simulated by a prescribed motion of a rigid body. A part of the Earth's crust that should sink by virtue of properties of initial geometry is simulated as a deformable solid made up of elastoplastic strain-hardening material. The mantle is simulated by an ideal elastoplastic material with a low yield stress value. We are concerned with parts of the Earth's crust that have different geometric parameters. Computer simulation of plate collision shows that under standard conditions, underthrusting of one slab beneath another occurs; at sites of initial thickening of a slab in a contact zone, subduction (deep sinking) of the slab into the mantle is expected. In the latter case account should be taken of a well-known experimental fact, that of material compaction of the sunken piece of a slab. © 2009 Pleiades Publishing, Ltd.
Ключевые слова: Yield stress; Tectonics; Finite element method; Equations of motion; Elastoplasticity; Deformation; Control nonlinearities; Computer simulation; Two-dimensional approximations; Tectonic processes; Subduction; Standard conditions; Spatial discretization; Rigid bodies; Quasi-static deformations; Plate motions; Plane deformations; Numerical solutions; Non linearities; Mathematical simulations; Mantle deformations; Low yield stress; Lithospheric slabs; Large deformations; Geometrically nonlinear; Geometric parameters; Elastoplastic strains; Elasto-plastic materials; Earth's crusts; Deformable solids; Contact zones; Contact interactions; Collision process; Tectonic processes; Subduction; Finite-element method; Computational methods; Computer simulation;
Издано: 2009
Физ. характеристика: с.58-73