Fracture Toughness Determination on an SCB Specimen by Meshless Methods

This work investigates fracture characteristics of a marble semi-circular bend (SCB) specimen with a pre-defined crack under a compressive loading condition. It aims at evaluating how the fracture toughness can be affected by the crack and span length variation. Numerically, the model is solved usin...

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Main Authors: Farid Mehri Sofiani, Behzad V. Farahani, Jorge Belinha
Format: Article
Language:English
Published: MDPI AG 2022-03-01
Series:Applied Sciences
Subjects:
Online Access:https://www.mdpi.com/2076-3417/12/5/2633
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author Farid Mehri Sofiani
Behzad V. Farahani
Jorge Belinha
author_facet Farid Mehri Sofiani
Behzad V. Farahani
Jorge Belinha
author_sort Farid Mehri Sofiani
collection DOAJ
description This work investigates fracture characteristics of a marble semi-circular bend (SCB) specimen with a pre-defined crack under a compressive loading condition. It aims at evaluating how the fracture toughness can be affected by the crack and span length variation. Numerically, the model is solved using meshless methods, extended to the linear elastic fracture mechanics (LEFM), resorting to radial point interpolation method (RPIM) and its natural neighbor versions (NNRPIMv1 and NNRPIMv2). Alternatively, to validate the meshless method results, the problem is resolved following the finite element method (FEM) model based on the standard 2D constant strain triangle elements. As a result, fracture toughness and the critical strain energy release rate are characterized following the testing method on the cracked straight through semi-circular bend specimen (CSTSCB). A comparison is drawn amongst the theoretical, meshless methods and FEM results to evaluate the capability of advanced numerical methods. Encouraging results have been accomplished leading to validate the supporting numerical methodologies.
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spelling doaj.art-5c4635189f1e483ba0ffc89e78a4847a2023-11-23T22:43:52ZengMDPI AGApplied Sciences2076-34172022-03-01125263310.3390/app12052633Fracture Toughness Determination on an SCB Specimen by Meshless MethodsFarid Mehri Sofiani0Behzad V. Farahani1Jorge Belinha2FEUP, Faculty of Engineering, University of Porto, Dr. Roberto Frias Street, 4200-465 Porto, PortugalINEGI, Institute of Science and Innovation in Mechanical and Industrial Engineering, Dr. Roberto Frias Street, 400, 4200-465 Porto, PortugalISEP, Mechanical Engineering Department, School of Engineering, Polytechnic Porto, Rua Dr. António Bernardino de Almeida, 431, 4249-015 Porto, PortugalThis work investigates fracture characteristics of a marble semi-circular bend (SCB) specimen with a pre-defined crack under a compressive loading condition. It aims at evaluating how the fracture toughness can be affected by the crack and span length variation. Numerically, the model is solved using meshless methods, extended to the linear elastic fracture mechanics (LEFM), resorting to radial point interpolation method (RPIM) and its natural neighbor versions (NNRPIMv1 and NNRPIMv2). Alternatively, to validate the meshless method results, the problem is resolved following the finite element method (FEM) model based on the standard 2D constant strain triangle elements. As a result, fracture toughness and the critical strain energy release rate are characterized following the testing method on the cracked straight through semi-circular bend specimen (CSTSCB). A comparison is drawn amongst the theoretical, meshless methods and FEM results to evaluate the capability of advanced numerical methods. Encouraging results have been accomplished leading to validate the supporting numerical methodologies.https://www.mdpi.com/2076-3417/12/5/2633fracture toughnessSCBFEMLEFMmeshless methodsRPIM
spellingShingle Farid Mehri Sofiani
Behzad V. Farahani
Jorge Belinha
Fracture Toughness Determination on an SCB Specimen by Meshless Methods
Applied Sciences
fracture toughness
SCB
FEM
LEFM
meshless methods
RPIM
title Fracture Toughness Determination on an SCB Specimen by Meshless Methods
title_full Fracture Toughness Determination on an SCB Specimen by Meshless Methods
title_fullStr Fracture Toughness Determination on an SCB Specimen by Meshless Methods
title_full_unstemmed Fracture Toughness Determination on an SCB Specimen by Meshless Methods
title_short Fracture Toughness Determination on an SCB Specimen by Meshless Methods
title_sort fracture toughness determination on an scb specimen by meshless methods
topic fracture toughness
SCB
FEM
LEFM
meshless methods
RPIM
url https://www.mdpi.com/2076-3417/12/5/2633
work_keys_str_mv AT faridmehrisofiani fracturetoughnessdeterminationonanscbspecimenbymeshlessmethods
AT behzadvfarahani fracturetoughnessdeterminationonanscbspecimenbymeshlessmethods
AT jorgebelinha fracturetoughnessdeterminationonanscbspecimenbymeshlessmethods