Arbitrary discontinuities in finite elements

被引：22

作者：

Belytschko, T ^{[1
]}

Moës, N ^{[1
]}

Usui, S ^{[1
]}

Parimi, C ^{[1
]}

机构：

[1] Northwestern Univ, Dept Mech Engn, Evanston, IL 60208 USA

来源：

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING | 2001年 / 50卷 / 04期

关键词：

finite elements; fracture; fasteners; jointed rock;

D O I：

10.1002/1097-0207(20010210)50:4<993::AID-NME164>3.0.CO;2-M

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

A technique for modelling arbitrary discontinuities in finite elements is presented. Both discontinuities in the function and its derivatives are considered. Methods for intersecting and branching discontinuities are given. In all cases, the discontinuous approximation is constructed in terms of a signed distance functions, so level sets can be used to update the position of the discontinuities. A standard displacement Galerkin method is used for developing the discrete equations. Examples of the following applications are given: crack growth, a journal bearing, a non-bonded circular inclusion and It jointed rock mass. Copyright (C) 2001 John Wiley & Sons, Ltd.

引用

页码：993 / 1013

页数：21

共 50 条

[1] Strong and weak arbitrary discontinuities in spectral finite elements
Legay, A
Wang, HW
Belytschko, T
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2005, 64 (08) : 991 - 1008
[2] A study on finite elements for capturing strong discontinuities
Oliver, J
Huespe, AE
Samaniego, E
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2003, 56 (14) : 2135 - 2161
[3] Comparative study on finite elements with embedded discontinuities
Jirásek, M
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2000, 188 (1-3) : 307 - 330
[4] New finite elements with embedded strong discontinuities in the finite deformation range
Armero, F.
Linder, C.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2008, 197 (33-40) : 3138 - 3170
[5] Improvement of some features of finite elements with embedded discontinuities
Juarez-Luna, G.
Ayala, G.
ENGINEERING FRACTURE MECHANICS, 2014, 118 : 31 - 48
[6] Finite elements with embedded strong discontinuities for the modeling of failure in solids
Linder, C.
Armero, F.
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2007, 72 (12) : 1391 - 1433
[7] An embedded formulation with conforming finite elements to capture strong discontinuities
Dias-da-Costa, D.
Alfaiate, J.
Sluys, L. J.
Areias, P.
Julio, E.
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2013, 93 (02) : 224 - 244
[8] Recent developments in the formulation of finite elements with embedded strong discontinuities
Armero, Francisco
Linder, Christian
IUTAM SYMPOSIUM ON DISCRETIZATION METHODS FOR EVOLVING DISCONTINUITIES, 2007, 5 : 105 - 122
[9] Numerical simulation of dynamic fracture using finite elements with embedded discontinuities
Francisco Armero
Christian Linder
International Journal of Fracture, 2009, 160 : 119 - 141
[10] Progress in the Formulation of Finite Elements with Embedded Discontinuities to Model Failure in Solids
Armero, F.
Kim, J.
PROCEEDINGS OF THE TENTH INTERNATIONAL CONFERENCE ON COMPUTATIONAL STRUCTURES TECHNOLOGY, 2010, 93

← 1 2 3 4 5 →