Isogeometric Boundary Element analysis with elasto-plastic inclusions. Part 1: Plane problems

被引：33

作者：

Beer, Gernot ^{[1
,2
]}

Marussig, Benjamin ^{[1
]}

Zechner, Juergen ^{[1
]}

Duenser, Christian ^{[1
]}

Fries, Thomas-Peter ^{[1
]}

机构：

[1] Graz Univ Technol, Inst Struct Anal, Lessingstr 25-2, A-8010 Graz, Austria

[2] Univ Newcastle, Ctr Geotech & Mat Modelling, Callaghan, NSW 2308, Australia

来源：

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING | 2016年 / 308卷

基金：

奥地利科学基金会;

关键词：

BEM; Isogeometric analysis; Elasto-plasticity; Inclusions; BEM; FORMULATION; SIMULATION; NURBS; CAD;

D O I：

10.1016/j.cma.2016.03.035

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

In this work a novel approach is presented for the isogeometric Boundary Element analysis of domains that contain inclusions with different elastic properties than the ones used for computing the fundamental solutions. In addition the inclusion may exhibit inelastic material behavior. In this paper only plane stress/strain problems are considered. In our approach the geometry of the inclusion is described using NURBS basis functions. The advantage over currently used methods is that no discretization into cells is required in order to evaluate the arising volume integrals. The other difference to current approaches is that Kernels of lower singularity are used in the domain term. The implementation is verified on simple finite and infinite domain examples with various boundary conditions. Finally a practical application in geomechanics is presented. (C) 2016 Elsevier B.V. All rights reserved.

引用

页码：552 / 570

页数：19

共 29 条

[1] [Anonymous], 1998, Computational Inelasticity. Interdisciplinary applied mathematics
[2] Banerjee PK., 1994, BOUNDARY ELEMENT MET
[3] Mapped infinite patches for the NURBS based boundary element analysis in geomechanics
Beer, G.
[J]. COMPUTERS AND GEOTECHNICS, 2015, 66 : 66 - 74
[4] A simple approach to the numerical simulation with trimmed CAD surfaces
Beer, G.
Marussig, B.
Zechner, J.
[J]. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2015, 285 : 776 - 790
[5] Beer G, 2008, BOUNDARY ELEMENT MET
[6] Beer G, 2014, CISM LECT NOTES
[7] Beer G., 2015, ADV NUMERICAL SIMULA
[8] Beer G, 2014, 11TH WORLD CONGRESS ON COMPUTATIONAL MECHANICS
[9] 5TH EUROPEAN CONFERENCE ON COMPUTATIONAL MECHANICS
[10] 6TH EUROPEAN CONFERENCE ON COMPUTATIONAL FLUID DYNAMICS, VOLS II - IV, P2445

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