Optimized Mesh-free Analysis for the Singularity Subtraction Technique of Linear Elastic Fracture Mechanics

Optimized Mesh-free Analysis for the Singularity Subtraction Technique of Linear Elastic Fracture Mechanics

Tiago Oliveira

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Artur Portela

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Optimized Mesh-free Analysis for the Singularity Subtraction Technique of Linear Elastic Fracture Mechanics

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S Atluri,S Shen (2002). The meshless local petrov-galerkin (mlpg) method: A simple and less-costly alternative to the finite element and boundary element methods.
S Atluri,T Zhu (1998). A new Meshless Local Petrov-Galerkin (MLPG) approach in computational mechanics.
A Bagheri,R Ehsany,M Mahmoodabadi,G Baradaran (2011). Optimization of meshless local petrov-galerkin using genetic algorithm for 3d elastostatic problems.
G Baradaran,M Mahmoodabadi (2009). Optimal pareto parametric analysis of two dimensional steady-state heat conduction problems by mlpg method.
J Caicedo,A Portela (2015). Cracked plate analysis with the dual boundary element method and Williams׳ eigenexpansion.
J Chen,M Hillman,S Chi (2017). Meshfree methods: Progress made after 20 years.
M Civelek,F Erdogan (1982). Crack problems for a rectangular plate and an infinite strip.
E Dede (2009). Chapter 5 COMSOL Multiphysics Models.
L Dede,M Borden,T Hughes (2012). Isogeometric analysis for topology optimization with a phase field model.
Martin Denk,Klemens Rother,Mario Zinßer,Christoph Petroll,Kristin Paetzold (2021). NODAL COSINE SINE MATERIAL INTERPOLATION IN MULTI OBJECTIVE TOPOLOGY OPTIMIZATION WITH THE GLOBAL CRITERIA METHOD FOR LINEAR ELASTO STATIC, HEAT TRANSFER, POTENTIAL FLOW AND BINARY CROSS ENTROPY SHARPENING.
Martin Denk,Klemens Rother,Mario Zinßer,Christoph Petroll,Kristin Paetzold (2021). NODAL COSINE SINE MATERIAL INTERPOLATION IN MULTI OBJECTIVE TOPOLOGY OPTIMIZATION WITH THE GLOBAL CRITERIA METHOD FOR LINEAR ELASTO STATIC, HEAT TRANSFER, POTENTIAL FLOW AND BINARY CROSS ENTROPY SHARPENING.
M Ebrahimnejad,N Fallah,A Khoei (2015). Adaptive refinement in the meshless finite volume method for elasticity problems.
M Gen,R Cheng (2000). Genetic Algorithms and Engineering Optimization.
A Gersborg-Hansen,M Bendsøe,O Sigmund (2006). Topology optimization of heat conduction problems using the finite volume method.
D Gupta,M Langelaar,M Barink,F Van Keulen (2015). Topology optimization of front metallization patterns for solar cells.
J Holland (1975). Adaptation in Natural and Artificial Systems.
Antonio Huerta,Ted Belytschko,Sonia Fernández‐méndez,Timon Rabczuk,Xiaoying Zhuang,Marino Arroyo (2017). Meshfree Methods.
C Hwang,A Masud (1979). Multiple Objectives Decision Making-Methods and Applications.
V Kelner,O Léonard (2004). Application of genetic algorithms to lubrication pump stacking design.
Woo-Young Kim,Ramana Grandhi,Mark Haney (2006). Multiobjective Evolutionary Structural Optimization Using Combined Static/Dynamic Control Parameters.
G Liu,Y Gu (2001). A local point interpolation method for stress analysis of two-dimensional solids.
G Liu,L Yan,J Wang,Y Gu (2002). Point interpolation method based on local residual formulation using radial basis functions.
John Mccall (2005). Genetic algorithms for modelling and optimisation.
Y Murakami (1987). Stress intensity factors handbook.
T Oliveira,A Portela (2016). Weak-form collocation – A local meshless method in linear elasticity.
T Oliveira,A Portela (2019). A local mesh free method with the singularity subtraction technique.
T Oliveira,W Vélez,E Santana,T Araújo,F Mendonça,A Portela (2019). A local mesh free method for linear elasticity and fracture mechanics.
A Portela,M Aliabadi (1993). Crack Growth Analysis Using Boundary Elements -Software.
Martin Denk,Klemens Rother,Mario Zinßer,Christoph Petroll,Kristin Paetzold (2021). NODAL COSINE SINE MATERIAL INTERPOLATION IN MULTI OBJECTIVE TOPOLOGY OPTIMIZATION WITH THE GLOBAL CRITERIA METHOD FOR LINEAR ELASTO STATIC, HEAT TRANSFER, POTENTIAL FLOW AND BINARY CROSS ENTROPY SHARPENING.
Jeffrey Ringuest (1992). Multiobjective Optimization: Behavioral and Computational Considerations.
E Santana,T Oliveira,W Vélez,A Araújo,F Martins,A Portela (2020). A local mesh free numerical method with automatic parameter optimization.
H Sawaragi,T Nakayama,Tanino (1985). Theory of Multiobjective Optimization.
R Steuer (1986). Multiple Criteria Optimization: Theory, Computation, and Application.
M Williams (1952). Stress Singularities Resulting From Various Boundary Conditions in Angular Corners of Plates in Extension.
D Wolpert,W Macready (1997). No free lunch theorems for optimization.
David Zingg,Marian Nemec,Thomas Pulliam (2008). A comparative evaluation of genetic and gradient-based algorithms applied to aerodynamic optimization.
Ali Zolfagharian,Martin Denk,Mahdi Bodaghi,Abbas Kouzani,Akif Kaynak (2020). Topology-Optimized 4D Printing of a Soft Actuator.
K Proos,G Steven,O Querin,Y Xie (2001). Multicriterion evolutionary structural optimization using the weighting and the global criterion methods.

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Funding

No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

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How to Cite This Article

Tiago Oliveira. 2021. \u201cOptimized Mesh-free Analysis for the Singularity Subtraction Technique of Linear Elastic Fracture Mechanics\u201d. Global Journal of Research in Engineering - I: Numerical Methods GJRE-I Volume 21 (GJRE Volume 21 Issue I1).

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GJRE Volume 21 Issue I1

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Crossref Journal DOI 10.17406/gjre

Print ISSN 0975-5861

e-ISSN 2249-4596

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GJRE-I Classification FOR Code: 010301p

Submission ReceivedDecember 10, 2020
Peer Review Double Blind
Handling Editor
Accepted January 3, 2021
Published January 15, 2021

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v1.2

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September 30, 2021

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