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Multiple crack growth by the extende...

Budyn, Elisa R. L.

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Multiple crack growth by the extended finite element method.

Record Type:	Electronic resources : Monograph/item
Title/Author:	Multiple crack growth by the extended finite element method./
Author:	Budyn, Elisa R. L.
Description:	216 p.
Notes:	Source: Dissertation Abstracts International, Volume: 65-05, Section: B, page: 2585.
Contained By:	Dissertation Abstracts International65-05B.
Subject:	Engineering, Mechanical. -
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3132492
ISBN:	0496797328

Multiple crack growth by the extended finite element method.
Budyn, Elisa R. L.

Multiple crack growth by the extended finite element method. - 216 p.

Source: Dissertation Abstracts International, Volume: 65-05, Section: B, page: 2585.

Thesis (Ph.D.)--Northwestern University, 2004.

In this thesis, a general finite element method for multiple growing discontinuities is presented. More specifically, multiple cracks are grown using the eXtended Finite Element Method (X-FEM), where growth and coalescence of cracks and percolation can be treated without remeshing. The cracks are described by vector level sets in brittle elastic media that can be homogeneous or inhomogeneous and contain bi-materials or holes. First, brittle materials are studied in the framework of linear fracture mechanics; a stability analysis is developed when multiple cracks are competing to grow at the same time. The purpose of this thesis is to develop a multiple crack growth model for unit cells at the micro-scale that could be eventually coupled later with a macro-scale model. The method does not limit the number of cracks, and is applied to unit cells with up to ten growing cracks; it is also used to model fatigue fracture described by a Paris law with up to 50 cracks. Preliminary results of multiple cracks growing by a cohesive crack growth law are presented at the end of the thesis.

ISBN: 0496797328Subjects--Topical Terms:

783786
Engineering, Mechanical.

Multiple crack growth by the extended finite element method.
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100 1 $a Budyn, Elisa R. L. $3 1935609
245 1 0 $a Multiple crack growth by the extended finite element method.
300 $a 216 p.
500 $a Source: Dissertation Abstracts International, Volume: 65-05, Section: B, page: 2585.
500 $a Adviser: Ted B. Belytschko.
502 $a Thesis (Ph.D.)--Northwestern University, 2004.
520 $a In this thesis, a general finite element method for multiple growing discontinuities is presented. More specifically, multiple cracks are grown using the eXtended Finite Element Method (X-FEM), where growth and coalescence of cracks and percolation can be treated without remeshing. The cracks are described by vector level sets in brittle elastic media that can be homogeneous or inhomogeneous and contain bi-materials or holes. First, brittle materials are studied in the framework of linear fracture mechanics; a stability analysis is developed when multiple cracks are competing to grow at the same time. The purpose of this thesis is to develop a multiple crack growth model for unit cells at the micro-scale that could be eventually coupled later with a macro-scale model. The method does not limit the number of cracks, and is applied to unit cells with up to ten growing cracks; it is also used to model fatigue fracture described by a Paris law with up to 50 cracks. Preliminary results of multiple cracks growing by a cohesive crack growth law are presented at the end of the thesis.
590 $a School code: 0163.
650 4 $a Engineering, Mechanical. $3 783786
650 4 $a Applied Mechanics. $3 1018410
690 $a 0548
690 $a 0346
710 2 0 $a Northwestern University. $3 1018161
773 0 $t Dissertation Abstracts International $g 65-05B.
790 1 0 $a Belytschko, Ted B., $e advisor
790 $a 0163
791 $a Ph.D.
792 $a 2004
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3132492