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Dislocation Nucleation Mediated Plasticity of FCC Nanowires Read chapter Read first chapter

2019 | OriginalPaper | Chapter

51. Coupling of Discrete and Continuum Approaches in Modeling the Behavior of Materials

Authors : Alexey Yu. Smolin, Igor Yu. Smolin, Evgeny V. Shilko, Yuri P. Stefanov, Sergey G. Psakhie

Published in: Handbook of Mechanics of Materials

Publisher: Springer Singapore

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Abstract

For computer simulation of the mechanical behavior of materials and various media, methods of continuum mechanics are mainly used. Continuum approach uses highly developed mathematical apparatus of continuous functions, and capabilities of this approach are extremely wide and well known. However, for a number of very important processes, such as severe plastic deformation, mass mixing, damage initiation and development, material fragmentation, and so on, continuum methods of solid mechanics face certain hard difficulties. As a result, a great interest for the approach based on a discrete description of materials and media has been growing up in recent years.
It is obvious that both continuum and discrete approaches have their own advantages and disadvantages. A great number of commercial software has been created for solving numerous scientific and engineering problems based on continuum mechanics. Hence, the main line of discrete approach development seems to be not a substitute but a supplement to continuum methods in solving complex specific problems based on a coupling of the continuum and discrete approaches.
This chapter shows how to solve this problem on the example of the finite-difference method for numerical solution of dynamic problems on elastic-plastic deformation of continua, which is based on the continuum approach, and the movable cellular automaton method based on the discrete approach. Two particular applications of the coupled method are considered. The first example concerns simulation of target penetration by long rod at the macroscale. The second one deals with simulation of sliding friction at the scale of contact patch (mesoscale).

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previous chapter Fatigue Behavior of 9–12% Cr Ferritic-Martensitic Steel
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Metadata
Title
Coupling of Discrete and Continuum Approaches in Modeling the Behavior of Materials
Authors
Alexey Yu. Smolin
Igor Yu. Smolin
Evgeny V. Shilko
Yuri P. Stefanov
Sergey G. Psakhie
Copyright Year
2019
Publisher
Springer Singapore
Book
Handbook of Mechanics of Materials

Print ISBN: 978-981-10-6883-6

Electronic ISBN: 978-981-10-6884-3

Copyright Year: 2019

DOI
https://doi.org/10.1007/978-981-10-6884-3_35

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