Non-normality and induced plastic anisotropy under fractional plastic flow rule: a numerical study

被引:55
作者
Sumelka, Wojciech [1 ]
Nowak, Marcin [2 ]
机构
[1] Poznan Univ Tech, Inst Struct Engn, Piotrowo 5 St, PL-60969 Poznan, Poland
[2] Polish Acad Sci, Inst Fundamental Technol Res, Pawinskiego 5B St, PL-02106 Warsaw, Poland
关键词
non-normality of plastic flow; fractional calculus; return mapping algorithm; BOUNDARY-VALUE-PROBLEMS; NONASSOCIATIVE PLASTICITY; TRANSFORMATION PLASTICITY; COHESIVE SOILS; ELASTOPLASTICITY; STRESS; SOLIDS; STRAIN; MODEL; LOCALIZATION;
D O I
10.1002/nag.2421
中图分类号
P5 [地质学];
学科分类号
0709 ; 081803 ;
摘要
In this paper, an implementation of fractional plastic flow rule in the framework of implicit and explicit procedures is under consideration. The fractional plastic flow rule is obtained from a generalisation of the classical plastic flow rule utilising fractional calculus. The key feature of this new concept is that in general, the non-associative flow is obtained without necessity of additional potential assumption. If needed, the model can cover the anisotropy induced by plastic deformation. Illustrative examples showing the unusual flexibility of this model are also presented. Copyright (C) 2015 John Wiley & Sons, Ltd.
引用
收藏
页码:651 / 675
页数:25
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