文章基本信息

标题：Modification of implicit algorithm for solving a problem on the elastic plasticity of bulk materials
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作者：Anton Karvatskii ; Yevgen Panov ; Anatolii Pedchenko 等
期刊名称：Eastern-European Journal of Enterprise Technologies
印刷版ISSN：1729-3774
电子版ISSN：1729-4061
出版年度：2017
卷号：5
期号：7
页码：17-23
DOI：10.15587/1729-4061.2017.109550
语种：English
出版社：PC Technology Center
摘要：A mathematical statement is given of the elastic-plastic behavior of isotropic bulk material using a classic model of Drucker-Prager. We have improved the return-mapping algorithm for solving numerically a problem on the mechanical state of bulk material. In order to solve a system of nonlinear equations by the Newton method, it is proposed, at each step of iterations, instead of finding the inverse matrix, to solve a system of algebraic equations, linearized by Newton, by applying the Gauss exclusion method. This makes it possible to reduce the number of arithmetic operations by about 3n2 (n is the dimensionality of SLAE) at each iteration step for each plastic finite element. We have tested the programming code developed on the high-level programming language Fortran on the example of a model material, characterized by the associative law of current, at different values of the angle of natural repose. Comparison of the obtained results of numerical experiment with the data received by applying the proprietary software revealed a deviation within 0.25–5.3 % depending on the desired magnitude.
关键词：bulk material;Drucker-Prager yield criterion;return-mapping algorithm;plastic deformation