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

Research output: Contribution to journalArticleResearchpeer-review

Abstract

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.

Original languageEnglish
Pages (from-to)552-570
Number of pages19
JournalComputer Methods in Applied Mechanics and Engineering
Volume308
DOIs
Publication statusPublished - 15 Aug 2016

Fingerprint

plastics
inclusions
Plastics
Geomechanics
plane stress
elastic properties
Boundary conditions
boundary conditions
Geometry
geometry
cells

Keywords

  • BEM
  • Elasto-plasticity
  • Inclusions
  • Isogeometric analysis

ASJC Scopus subject areas

  • Computational Mechanics
  • Mechanics of Materials
  • Mechanical Engineering
  • Physics and Astronomy(all)
  • Computer Science Applications

Cite this

Isogeometric Boundary Element analysis with elasto-plastic inclusions. Part 1 : Plane problems. / Beer, Gernot; Marussig, Benjamin; Zechner, Jürgen; Dünser, Christian; Fries, Thomas Peter.

In: Computer Methods in Applied Mechanics and Engineering, Vol. 308, 15.08.2016, p. 552-570.

Research output: Contribution to journalArticleResearchpeer-review

@article{b3906265731b476eb4f8c2f6a82d89a2,
title = "Isogeometric Boundary Element analysis with elasto-plastic inclusions. Part 1: Plane problems",
abstract = "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.",
keywords = "BEM, Elasto-plasticity, Inclusions, Isogeometric analysis",
author = "Gernot Beer and Benjamin Marussig and J{\"u}rgen Zechner and Christian D{\"u}nser and Fries, {Thomas Peter}",
year = "2016",
month = "8",
day = "15",
doi = "10.1016/j.cma.2016.03.035",
language = "English",
volume = "308",
pages = "552--570",
journal = "Computer Methods in Applied Mechanics and Engineering",
issn = "0045-7825",
publisher = "Elsevier B.V.",

}

TY - JOUR

T1 - Isogeometric Boundary Element analysis with elasto-plastic inclusions. Part 1

T2 - Plane problems

AU - Beer, Gernot

AU - Marussig, Benjamin

AU - Zechner, Jürgen

AU - Dünser, Christian

AU - Fries, Thomas Peter

PY - 2016/8/15

Y1 - 2016/8/15

N2 - 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.

AB - 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.

KW - BEM

KW - Elasto-plasticity

KW - Inclusions

KW - Isogeometric analysis

UR - http://www.scopus.com/inward/record.url?scp=84979491969&partnerID=8YFLogxK

U2 - 10.1016/j.cma.2016.03.035

DO - 10.1016/j.cma.2016.03.035

M3 - Article

VL - 308

SP - 552

EP - 570

JO - Computer Methods in Applied Mechanics and Engineering

JF - Computer Methods in Applied Mechanics and Engineering

SN - 0045-7825

ER -