Phantom-node method for shell models with arbitrary cracks

Thanh Chau-Dinh; Goangseup Zi; Phill Seung Lee; Timon Rabczuk; Jeong Hoon Song

doi:10.1016/j.compstruc.2011.10.021

Phantom-node method for shell models with arbitrary cracks

Thanh Chau-Dinh, Goangseup Zi, Phill Seung Lee, Timon Rabczuk, Jeong Hoon Song

Research output: Contribution to journal › Article › peer-review

234 Citations (Scopus)

Abstract

A phantom-node method is developed for three-node shell elements to describe cracks. This method can treat arbitrary cracks independently of the mesh. The crack may cut elements completely or partially. Elements are overlapped on the position of the crack, and they are partially integrated to implement the discontinuous displacement across the crack. To consider the element containing a crack tip, a new kinematical relation between the overlapped elements is developed. There is no enrichment function for the discontinuous displacement field. Several numerical examples are presented to illustrate the proposed method.

Original language	English
Pages (from-to)	242-256
Number of pages	15
Journal	Computers and Structures
Volume	92-93
DOIs	https://doi.org/10.1016/j.compstruc.2011.10.021
Publication status	Published - 2012 Feb

Keywords

Cracked shells
J-integral
MITC3 shell element
Phantom-node method
Stress intensity factors

ASJC Scopus subject areas

Civil and Structural Engineering
Modelling and Simulation
Materials Science(all)
Mechanical Engineering
Computer Science Applications

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10.1016/j.compstruc.2011.10.021

Cite this

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title = "Phantom-node method for shell models with arbitrary cracks",

abstract = "A phantom-node method is developed for three-node shell elements to describe cracks. This method can treat arbitrary cracks independently of the mesh. The crack may cut elements completely or partially. Elements are overlapped on the position of the crack, and they are partially integrated to implement the discontinuous displacement across the crack. To consider the element containing a crack tip, a new kinematical relation between the overlapped elements is developed. There is no enrichment function for the discontinuous displacement field. Several numerical examples are presented to illustrate the proposed method.",

keywords = "Cracked shells, J-integral, MITC3 shell element, Phantom-node method, Stress intensity factors",

author = "Thanh Chau-Dinh and Goangseup Zi and Lee, {Phill Seung} and Timon Rabczuk and Song, {Jeong Hoon}",

note = "Funding Information: Authors Thanh Chau-Dinh and Goangseup Zi would like to thank the Agency for Defense Development (ADD) for their Grants UD090012JD and Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education, Science and Technology ( 2011-0003166 ). Author Timon Rabczuk is grateful for the support provided by the German Research Foundation (DFG). ",

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doi = "10.1016/j.compstruc.2011.10.021",

language = "English",

volume = "92-93",

pages = "242--256",

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T1 - Phantom-node method for shell models with arbitrary cracks

AU - Chau-Dinh, Thanh

AU - Zi, Goangseup

AU - Lee, Phill Seung

AU - Rabczuk, Timon

AU - Song, Jeong Hoon

N1 - Funding Information: Authors Thanh Chau-Dinh and Goangseup Zi would like to thank the Agency for Defense Development (ADD) for their Grants UD090012JD and Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education, Science and Technology ( 2011-0003166 ). Author Timon Rabczuk is grateful for the support provided by the German Research Foundation (DFG).

PY - 2012/2

Y1 - 2012/2

N2 - A phantom-node method is developed for three-node shell elements to describe cracks. This method can treat arbitrary cracks independently of the mesh. The crack may cut elements completely or partially. Elements are overlapped on the position of the crack, and they are partially integrated to implement the discontinuous displacement across the crack. To consider the element containing a crack tip, a new kinematical relation between the overlapped elements is developed. There is no enrichment function for the discontinuous displacement field. Several numerical examples are presented to illustrate the proposed method.

AB - A phantom-node method is developed for three-node shell elements to describe cracks. This method can treat arbitrary cracks independently of the mesh. The crack may cut elements completely or partially. Elements are overlapped on the position of the crack, and they are partially integrated to implement the discontinuous displacement across the crack. To consider the element containing a crack tip, a new kinematical relation between the overlapped elements is developed. There is no enrichment function for the discontinuous displacement field. Several numerical examples are presented to illustrate the proposed method.

KW - Cracked shells

KW - J-integral

KW - MITC3 shell element

KW - Phantom-node method

KW - Stress intensity factors

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SN - 0045-7949

VL - 92-93

SP - 242

EP - 256

JO - Computers and Structures

JF - Computers and Structures

ER -

Phantom-node method for shell models with arbitrary cracks

Abstract

Keywords

ASJC Scopus subject areas

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