Numerical simulation of strain localization based on Cosserat continuum theory and isogeometric analysis

被引：8

作者：

Tang, Hongxiang ^{[1
]}

Zhu, Feng ^{[1
]}

Yang, Dixiong ^{[2
]}

Papazafeiropoulos, George ^{[3
]}

机构：

[1] Dalian Univ Technol, State Key Lab Coastal & Offshore Engn, Dalian 116023, Peoples R China

[2] Dalian Univ Technol, State Key Lab Struct Anal Ind Equipment, Dalian 116023, Peoples R China

[3] Natl Tech Univ Athens, Inst Struct Anal & Antiseism Res, Zografou Campus, Athens 15780, Greece

来源：

COMPUTERS AND GEOTECHNICS | 2021年 / 129卷

基金：

中国国家自然科学基金;

关键词：

Isogeometric analysis; Finite element analysis; Strain localization; Elastoplastic; Cosserat continua; FLUID-STRUCTURE INTERACTION; GRADIENT-DEPENDENT PLASTICITY; MACRO STRUCTURE RELATION; FINITE-ELEMENT-ANALYSIS; GRANULAR-MATERIALS; SHAPE OPTIMIZATION; ENHANCED DAMAGE; EXACT GEOMETRY; PART II; NURBS;

D O I：

10.1016/j.compgeo.2020.103874

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

The Cosserat continuum theory is combined with isogeometric analysis (Cos-IGA) to simulate strain localization problems of geomaterials. The results demonstrate that the numerical solution based on Cos-IGA is convergent and mesh-independent and that the Cos-IGA method can capture the initiation and propagation of the shear band as strain localization problem involved. The Cos-IGA method can also effectively alleviate the influence of mesh distortion in the shear zone, even in the case of large deformations. Further, the Cos-IGA method reduces computational cost and eliminates errors caused by geometric discretization compared with the Cos-FEA method. It suggests that the C-2 cubic (three-order) basis function for Cos-IGA is the best choice for simulating strain localization problems considering computational cost and convergence.

引用

页数：17

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