Modeling of Plastic Deformation Based on the Theory of an Orthotropic Cosserat Continuum | Научно-инновационный портал СФУ

Modeling of Plastic Deformation Based on the Theory of an Orthotropic Cosserat Continuum

Тип публикации: статья из журнала

Год издания: 2020

Идентификатор DOI: 10.1134/S1029959920030066

Ключевые слова: cosserat continuum, couple stresses, elasticity, high performance computing, microstructure, plasticity, variational inequality

Аннотация: Abstract: In the paper, the plastic deformationof heterogeneous materials is analyzed by direct numericalsimulation based on the theory of an elastic-plastic orthotropicCosserat continuum, with the plasticity condition taking intoaccount both the shear and rotational mode of irreversibledeformation. With the assumption of a block structure of amaterial with elastic blocks interacting through compliantplastic interlayers, this condition imposes constraints on theshear components of the asymmetric stress tensor, whichcharacterize shear, and on the couple stresses, whichirreversibly change the curvature characteristics of thedeformed state of the continuum upon reaching critical values.The equations of translational and rotational motion togetherwith the governing equations of the model are formulated as avariational inequality, which correctly describes both the stateof elastic-plastic deformation under applied load and the stateof elastic unloading. The numerical implementation of themathematical model is performed using a parallel computingalgorithm and an original software for cluster multiprocessorsystems. The developed approach is applied to solve the problemof compressing a rectangular brick-patterned blocky rock mass bya rough nondeformable plate rotating with constant acceleration.The effect of the yield stress of the compliant interlayers onthe stress-strain state of the rock mass in shear and bending isstudied. The field of plastic energy dissipation in the rockmass is analyzed along with the fields of displacements,stresses, couple stresses, and rotation angle of structuralelements. The obtained results can help to validate thehypothesis about the predominant effect of curvature on plasticstrain localization at the mesolevel in microstructuralmaterials. © 2020, Pleiades Publishing, Ltd.

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Издание

Журнал: Physical Mesomechanics

Выпуск журнала: Vol. 23, Is. 3

Номера страниц: 223-230

ISSN журнала: 10299599

Авторы

  • Sadovskii V.M. (Russian Acad Sci, Inst Computat Modeling, Siberian Branch, Krasnoyarsk 660036, Russia; Siberian Fed Univ, Krasnoyarsk 660041, Russia)
  • Guzev M.A. (Russian Acad Sci, Inst Appl Math, Far Eastern Branch, Vladivostok 690041, Russia; Beijing Univ Civil Engn & Architecture, Beijing 100044, Peoples R China)
  • Sadovskaya O.V (Russian Acad Sci, Inst Computat Modeling, Siberian Branch, Krasnoyarsk 660036, Russia)
  • Qi Ch (Beijing Univ Civil Engn & Architecture, Beijing 100044, Peoples R China)

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