3D adaptive finite element modeling of non-planar curved crack growth using the weighted superconvergent patch recovery method

Moslemi, Hamid; Khoei, A.R.

doi:10.1016/j.engfracmech.2009.03.013

Cited by 40 publications

(16 citation statements)

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“…2 and 3, several practical examples are analyzed numerically. The computer software SUT-DAM, which was originally designed by senior author for adaptive mesh refinement of large plasticity deformations (Khoei et al , 2006(Khoei et al , 2007 and then developed to simulate the crack growth in linear fracture mechanics (Khoei et al 2008;Moslemi and Khoei 2009), is extended to simulate the cohesive crack propagation. The computer software is written based on the Object Oriented Programming (OOP).…”

Section: Numerical Simulation Resultsmentioning

confidence: 99%

“…In order to determine the unknown vector a, a polynomial is fitted to the finite element solutions, in which the error is minimized at sampling points. Moslemi and Khoei (2009) proposed the weighted-SPR technique by using different weighting parameters for sampling points of the patch. It results in more realistic value of stress at the nodal points, particularly near the crack tip.…”

Section: Error Estimation Via the Weighted-spr Techniquementioning

confidence: 99%

“…The latter can provide quantitatively accurate measures of the discretization error, while a-priori estimate method cannot. In the present study, the ZienkiewiczZhu error estimator is employed together with the weighted-SPR technique proposed by Moslemi and Khoei (2009).…”

Section: Error Estimation Via the Weighted-spr Techniquementioning

confidence: 99%

“…Khoei et al (2008) proposed the modified-SPR technique, in which the polynomial function is replaced by the singular terms of analytical solution of crack problems in the process of recovery solution. Recently, Moslemi and Khoei (2009) improved the technique by applying the weighting function for various sampling points to estimate a more realistic error.…”

Section: Introductionmentioning

confidence: 99%

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Modeling of cohesive crack growth using an adaptive mesh refinement via the modified-SPR technique

et al. 2009

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In this paper, an adaptive finite element procedure is presented in modeling of mixed-mode cohesive crack propagation via the modified superconvergent path recovery technique. The adaptive mesh refinement is performed based on the ZienkiewiczZhu error estimator. The weighted-SPR recovery technique is employed to improve the accuracy of error estimation. The Espinosa-Zavattieri bilinear cohesive zone model is applied to implement the traction-separation law. It is worth mentioning that no previous information is necessary for the path of crack growth and no region of the domain is necessary to be filled by the cohesive elements. The maximum principal stress criterion is employed for predicting the direction of extension of the cohesive crack in order to implement the cohesive elements. Several numerical examples are analyzed numerically to demonstrate the capability and efficiency of proposed computational algorithm.

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Section: Numerical Simulation Resultsmentioning

confidence: 99%

Section: Error Estimation Via the Weighted-spr Techniquementioning

confidence: 99%

Section: Error Estimation Via the Weighted-spr Techniquementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Modeling of cohesive crack growth using an adaptive mesh refinement via the modified-SPR technique

et al. 2009

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“…In [50], the SPR method was used to calculate error in three-dimensional h-adaptive analysis for linear-elastic problems. Adaptive FEA based on the modified SPR method was used to model curved cracks in three-dimensional problems in [51]. In [52], the SPR method was used for error estimation in three-dimensional nonlinear problems, involving liquefaction of soil due to seismic effects.…”

Section: Error Estimationmentioning

confidence: 99%

An adaptive finite element/meshless coupled method based on local maximum entropy shape functions for linear and nonlinear problems

Ullah

Coombs

Augarde

2013

Computer Methods in Applied Mechanics and Engineering

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'An adaptive nite element/meshless coupled method based on local maximum entropy shape functions for linear and nonlinear problems.', Computer methods in applied mechanics and engineering., 267 . pp. 111-132. Further information on publisher's website:http://dx.doi.org/10.1016/j.cma.2013.07.018Publisher's copyright statement: NOTICE: this is the author's version of a work that was accepted for publication in Computer Methods in Applied Mechanics and Engineering. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be re ected in this document. Changes may have been made to this work since it was submitted for publication. A de nitive version was subsequently published in Computer Methods in Applied Mechanics and Engineering, 267, 2013, 10.1016/j.cma.2013.07.018. Additional information:Use policyThe full-text may be used and/or reproduced, and given to third parties in any format or medium, without prior permission or charge, for personal research or study, educational, or not-for-pro t purposes provided that:• a full bibliographic reference is made to the original source • a link is made to the metadata record in DRO • the full-text is not changed in any way The full-text must not be sold in any format or medium without the formal permission of the copyright holders.Please consult the full DRO policy for further details. AbstractIn this paper, an automatic adaptive coupling procedure is proposed for the finite element method (FEM) and the element-free Galerkin method (EFGM) for linear elasticity and for problems with both material and geometrical nonlinearities. In this new procedure, initially the whole of the problem domain is modelled using the FEM. During an analysis, those finite elements which violate a predefined error measure are automatically converted to an EFG zone. This EFG zone can be further refined by adding nodes, thus avoiding computationally expensive FE remeshing. Local maximum entropy shape functions are used in the EFG zone of the problem domain for two reasons: their weak Kronecker delta property at the boundaries allows straightforward imposition of essential boundary conditions and also provides a natural way to couple the EFG and FE regions compared to the use of moving least squares basis functions. The Zienkiewicz & Zhu error estimation procedure with the superconvergent patch method for strains and stresses recovery is used in the FE region of the problem domain, while the Chung & Belytschko error estimation procedure is used in the EFG region.

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2014

Extended Finite Element Method

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3D adaptive finite element modeling of non-planar curved crack growth using the weighted superconvergent patch recovery method

Cited by 40 publications

References 43 publications

Modeling of cohesive crack growth using an adaptive mesh refinement via the modified-SPR technique

Modeling of cohesive crack growth using an adaptive mesh refinement via the modified-SPR technique

An adaptive finite element/meshless coupled method based on local maximum entropy shape functions for linear and nonlinear problems

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