Details
| Original language | English |
|---|---|
| Pages (from-to) | 85-123 |
| Number of pages | 39 |
| Journal | GAMM Mitteilungen |
| Volume | 37 |
| Issue number | 1 |
| Publication status | Published - 7 Jul 2014 |
Abstract
This paper reviews the currently available computational contact formulations within the framework of isogeometric analysis (IGA). As opposed to conventional Lagrange discretizations, IGA basis functions feature higher and tailorable inter-element continuity, which translates into evident advantages for the description of interacting surfaces, especially in presence of large displacements and large sliding. This has recently motivated the proposal of several isogeometric contact treatments, based on different ways to incorporate the contact contribution into the variational form of a continuum mechanics problem and to formulate its discretized version. After a brief overview of conventional and isogeometric basis functions as well as conventional contact mechanics approaches, the available isogeometric contact formulations are examined. Attention is paid to the favorable and unfavorable features they share with their finite element counterparts, as well as to the consequences stemming from the use of IGA basis functions. The main needs for future research emerging from the current state of the art are outlined.
Keywords
- contact mechanics, interface modeling, isogeometric analysis, NURBS, smoothing, state of the art review
ASJC Scopus subject areas
- Materials Science(all)
- General Materials Science
- Physics and Astronomy(all)
- General Physics and Astronomy
- Mathematics(all)
- Applied Mathematics
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In: GAMM Mitteilungen, Vol. 37, No. 1, 07.07.2014, p. 85-123.
Research output: Contribution to journal › Review article › Research › peer review
}
TY - JOUR
T1 - Isogeometric contact
T2 - A review
AU - De Lorenzis, Laura
AU - Wriggers, Peter
AU - Hughes, Thomas J.R.
PY - 2014/7/7
Y1 - 2014/7/7
N2 - This paper reviews the currently available computational contact formulations within the framework of isogeometric analysis (IGA). As opposed to conventional Lagrange discretizations, IGA basis functions feature higher and tailorable inter-element continuity, which translates into evident advantages for the description of interacting surfaces, especially in presence of large displacements and large sliding. This has recently motivated the proposal of several isogeometric contact treatments, based on different ways to incorporate the contact contribution into the variational form of a continuum mechanics problem and to formulate its discretized version. After a brief overview of conventional and isogeometric basis functions as well as conventional contact mechanics approaches, the available isogeometric contact formulations are examined. Attention is paid to the favorable and unfavorable features they share with their finite element counterparts, as well as to the consequences stemming from the use of IGA basis functions. The main needs for future research emerging from the current state of the art are outlined.
AB - This paper reviews the currently available computational contact formulations within the framework of isogeometric analysis (IGA). As opposed to conventional Lagrange discretizations, IGA basis functions feature higher and tailorable inter-element continuity, which translates into evident advantages for the description of interacting surfaces, especially in presence of large displacements and large sliding. This has recently motivated the proposal of several isogeometric contact treatments, based on different ways to incorporate the contact contribution into the variational form of a continuum mechanics problem and to formulate its discretized version. After a brief overview of conventional and isogeometric basis functions as well as conventional contact mechanics approaches, the available isogeometric contact formulations are examined. Attention is paid to the favorable and unfavorable features they share with their finite element counterparts, as well as to the consequences stemming from the use of IGA basis functions. The main needs for future research emerging from the current state of the art are outlined.
KW - contact mechanics
KW - interface modeling
KW - isogeometric analysis
KW - NURBS
KW - smoothing
KW - state of the art review
UR - http://www.scopus.com/inward/record.url?scp=84903980307&partnerID=8YFLogxK
U2 - 10.1002/gamm.201410005
DO - 10.1002/gamm.201410005
M3 - Review article
AN - SCOPUS:84903980307
VL - 37
SP - 85
EP - 123
JO - GAMM Mitteilungen
JF - GAMM Mitteilungen
SN - 0936-7195
IS - 1
ER -