On the determination of first-mode stress intensity factors and T-stress in a continuous functionally graded beam using digital image correlation method

Ahmed M. Abood; Haider Khazal; Abdulkareem F. Hassan; Ahmed M. Abood; Haider Khazal; Abdulkareem F. Hassan

doi:10.3934/matersci.2022004

AIMS Materials Science

2022, Volume 9, Issue 1: 56-70. doi: 10.3934/matersci.2022004

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On the determination of first-mode stress intensity factors and T-stress in a continuous functionally graded beam using digital image correlation method

Department of mechanical engineering, College of engineering, University of Basrah, Basrah, ‎Iraq

Received: 09 September 2021 Revised: 28 October 2021 Accepted: 02 November 2021 Published: 28 December 2021

In this study, fracture parameters of epoxy/glass functionally graded composite were determined experimentally using the digital image correlation (DIC) method. A functionally graded material (FGM) with continuous variation in elastic properties was manufactured by gravity casting in vertical template. A 30% volume fraction of glass spheres was dispersed in a low viscosity resin. A single edge crack specimen was examined in a three-point bending test under mode Ⅰ loading with cracks along the gradient tendency of the material properties. The mechanical properties of FGM were calculated according to ASTM D638. The DIC technique was adopted to obtain the deformation region around the crack tip. William's series was employed to calculate stress intensity factor and T-stress. The experimental results then verified by solving the FE model using ABAQUS program. The comparison between DIC and numerical results illustrated a largely acceptable achievement.
- continuous FGM,
- Digital Image Correlation (DIC),
- three-point bending beam,
- T-stress,
- Stress Intensity Factors (SIFs)
Citation: Ahmed M. Abood, Haider Khazal, Abdulkareem F. Hassan. On the determination of first-mode stress intensity factors and T-stress in a continuous functionally graded beam using digital image correlation method[J]. AIMS Materials Science, 2022, 9(1): 56-70. doi: 10.3934/matersci.2022004

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Abstract

In this study, fracture parameters of epoxy/glass functionally graded composite were determined experimentally using the digital image correlation (DIC) method. A functionally graded material (FGM) with continuous variation in elastic properties was manufactured by gravity casting in vertical template. A 30% volume fraction of glass spheres was dispersed in a low viscosity resin. A single edge crack specimen was examined in a three-point bending test under mode Ⅰ loading with cracks along the gradient tendency of the material properties. The mechanical properties of FGM were calculated according to ASTM D638. The DIC technique was adopted to obtain the deformation region around the crack tip. William's series was employed to calculate stress intensity factor and T-stress. The experimental results then verified by solving the FE model using ABAQUS program. The comparison between DIC and numerical results illustrated a largely acceptable achievement.

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