Performance of orthogonal meshless finite volume method applied to elastodynamic crack problems

Reza Moosavi; F.  Delfanian; A Khelil

doi:10.1016/j.tws.2011.12.018

Performance of orthogonal meshless finite volume method applied to elastodynamic crack problems

Reza Moosavi, F. Delfanian, A Khelil

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

5 Citations (Scopus)

Abstract

An orthogonal meshless finite volume method has been presented to solve some elastodynamic crack problems. An orthogonal weighted basis function is used to construct shape function so there is no problem of singularity in this new form. In this work, for three-dimensional dynamic fracture problems, a new displacement function is used at the tip of the crack to give a new OMFVM. When the new OMFVM is used, the singularity of the stresses at the tip of the crack can be shown better than that in the primal OMFVM. High computational efficiency and precision are other benefits of the method. Solving some sample crack problems of thin-walled structures show a good performance of this method.

Original language	English
Pages (from-to)	156-160
Number of pages	5
Journal	Thin-Walled Structures
Volume	53
Early online date	10 Feb 2012
DOIs	https://doi.org/10.1016/j.tws.2011.12.018
Publication status	Published - Apr 2012
Externally published	Yes

Keywords

Meshless method
Finite volume method
Orthogonal moving least square
Elastodynamics
Crack

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10.1016/j.tws.2011.12.018

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title = "Performance of orthogonal meshless finite volume method applied to elastodynamic crack problems",

abstract = "An orthogonal meshless finite volume method has been presented to solve some elastodynamic crack problems. An orthogonal weighted basis function is used to construct shape function so there is no problem of singularity in this new form. In this work, for three-dimensional dynamic fracture problems, a new displacement function is used at the tip of the crack to give a new OMFVM. When the new OMFVM is used, the singularity of the stresses at the tip of the crack can be shown better than that in the primal OMFVM. High computational efficiency and precision are other benefits of the method. Solving some sample crack problems of thin-walled structures show a good performance of this method.",

keywords = "Meshless method, Finite volume method, Orthogonal moving least square, Elastodynamics, Crack",

author = "Reza Moosavi and F. Delfanian and A Khelil",

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doi = "10.1016/j.tws.2011.12.018",

language = "English",

volume = "53",

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TY - JOUR

T1 - Performance of orthogonal meshless finite volume method applied to elastodynamic crack problems

AU - Moosavi, Reza

AU - Delfanian, F.

AU - Khelil, A

PY - 2012/4

Y1 - 2012/4

N2 - An orthogonal meshless finite volume method has been presented to solve some elastodynamic crack problems. An orthogonal weighted basis function is used to construct shape function so there is no problem of singularity in this new form. In this work, for three-dimensional dynamic fracture problems, a new displacement function is used at the tip of the crack to give a new OMFVM. When the new OMFVM is used, the singularity of the stresses at the tip of the crack can be shown better than that in the primal OMFVM. High computational efficiency and precision are other benefits of the method. Solving some sample crack problems of thin-walled structures show a good performance of this method.

AB - An orthogonal meshless finite volume method has been presented to solve some elastodynamic crack problems. An orthogonal weighted basis function is used to construct shape function so there is no problem of singularity in this new form. In this work, for three-dimensional dynamic fracture problems, a new displacement function is used at the tip of the crack to give a new OMFVM. When the new OMFVM is used, the singularity of the stresses at the tip of the crack can be shown better than that in the primal OMFVM. High computational efficiency and precision are other benefits of the method. Solving some sample crack problems of thin-walled structures show a good performance of this method.

KW - Meshless method

KW - Finite volume method

KW - Orthogonal moving least square

KW - Elastodynamics

KW - Crack

U2 - 10.1016/j.tws.2011.12.018

DO - 10.1016/j.tws.2011.12.018

M3 - Article

SN - 0263-8231

VL - 53

SP - 156

EP - 160

JO - Thin-Walled Structures

JF - Thin-Walled Structures

ER -

Performance of orthogonal meshless finite volume method applied to elastodynamic crack problems

Abstract

Keywords

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