Orthogonal meshless finite volume method applied to crack problems

An orthogonal meshless finite volume method has been presented to solve some crack problems. An orthogonal weighted basis function is used to construct shape function so there is not a problem of singularity in this new form. In this work, for three-dimensional fracture problems, a new displacement...

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Published in:Thin-walled structures Vol. 52; pp. 61 - 65
Main Authors: Moosavi, M.R., Delfanian, F., Khelil, A.
Format: Journal Article
Language:English
Published: Kidlington Elsevier Ltd 01.03.2012
Elsevier
Subjects:
Crack
Exact sciences and technology
Finite Volume Method
Fracture mechanics (crack, fatigue, damage...)
Fundamental areas of phenomenology (including applications)
Meshless Method
Orthogonal moving least square
Physics
Solid mechanics
Static elasticity (thermoelasticity...)
Structural and continuum mechanics
Meshless Method
Orthogonal moving least square
Finite Volume Method
Crack
Stress concentration
Singularity
Stress analysis
Rupture
Finite volume method
Modeling
Orthogonal function
Least squares method
Weight function
Meshless method
Crack tip
Thin wall
ISSN:0263-8231, 1879-3223
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Abstract An orthogonal meshless finite volume method has been presented to solve some crack problems. An orthogonal weighted basis function is used to construct shape function so there is not a problem of singularity in this new form. In this work, for three-dimensional 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. ► An orthogonal meshless finite volume method has been presented to solve some crack problems. ► In this work, for three-dimensional 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.
AbstractList An orthogonal meshless finite volume method has been presented to solve some crack problems. An orthogonal weighted basis function is used to construct shape function so there is not a problem of singularity in this new form. In this work, for three-dimensional 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. ► An orthogonal meshless finite volume method has been presented to solve some crack problems. ► In this work, for three-dimensional 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.
Author Khelil, A.
Delfanian, F.
Moosavi, M.R.
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  surname: Khelil
  fullname: Khelil, A.
  organization: Nancy University–IJL–UMR, 7198 CNRS-CS, 90137-F54601 Villers Les Nancy, France
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Cites_doi 10.1002/1097-0207(20000830)48:12<1741::AID-NME956>3.0.CO;2-L
10.1007/BF00364254
10.1016/j.tws.2011.03.001
10.1137/0903027
10.1016/S0045-7825(96)01120-6
10.1016/0010-4655(88)90026-4
10.1002/nme.1620370205
10.1016/j.tws.2011.01.002
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Keywords Meshless Method
Orthogonal moving least square
Finite Volume Method
Crack
Stress concentration
Singularity
Stress analysis
Rupture
Finite volume method
Modeling
Orthogonal function
Least squares method
Weight function
Meshless method
Crack tip
Thin wall
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Moosavi, Khelil (bib6) 2008; 5
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Cheung, Wang, Woo (bib8) 1992; 10
Monaghan (bib1) 1982; 3
Moosavi, Delfanian, Khelil (bib5) 2011; 49
Monaghan (bib2) 1988; 48
Moosavi, Delfanian, Khelil (bib4) 2011; 49
Daux, Moes, Dolbow, Sukumar, Belytschko (bib7) 2000; 48
Denda (10.1016/j.tws.2011.10.009_bib9) 1997; 141
Daux (10.1016/j.tws.2011.10.009_bib10) 2000; 48
Monaghan (10.1016/j.tws.2011.10.009_bib2) 1988; 48
Moosavi (10.1016/j.tws.2011.10.009_bib4) 2011; 49
Daux (10.1016/j.tws.2011.10.009_bib7) 2000; 48
Cheung (10.1016/j.tws.2011.10.009_bib8) 1992; 10
Monaghan (10.1016/j.tws.2011.10.009_bib1) 1982; 3
Belytschko (10.1016/j.tws.2011.10.009_bib3) 1994; 37
Moosavi (10.1016/j.tws.2011.10.009_bib5) 2011; 49
Moosavi (10.1016/j.tws.2011.10.009_bib6) 2008; 5
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SubjectTerms Crack
Exact sciences and technology
Finite Volume Method
Fracture mechanics (crack, fatigue, damage...)
Fundamental areas of phenomenology (including applications)
Meshless Method
Orthogonal moving least square
Physics
Solid mechanics
Static elasticity (thermoelasticity...)
Structural and continuum mechanics
Title Orthogonal meshless finite volume method applied to crack problems
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