Journal ArticleDOI
Fabrication of transparent homogeneous functionally graded materials and crack analysis by photoelasticity
TLDR
In this paper, the authors developed transparent homogeneous FGMs with similar theoretical and physical properties and proposed a method for determining their stress intensity factors (SIFs) and T-stresses via photoelastic experiments.Abstract:
To analyze the stress of functionally graded materials (FGMs) through an experiment, transparent homogeneous FGMs (THFGMs) with similar theoretical and physical properties need to be created. This study developed such THFGMs and proposed a method for determining their stress intensity factors (SIFs) and T-stresses via photoelastic experiments. The Young’s modulus and Poisson’s ratio of these THFGMs linearly change along the physical variation direction, and the shear modulus varies almost linearly. The SIFs and T-stresses were obtained for the central and edge cracks in finite rectangular FGM plates with linear variations in the shear modulus under constant density along the direction of the crack under mode I loading. The SIFs and T-stresses can be obtained using the exponential and linear variation in the stress fields, even if the physical properties of FGM plates show linear variation in the shear modulus. The characteristics of the experimental SIFs obtained in this study generally agree with those of theoretical SIFs reported in previous research. For center crack tips, the SIFs at the hard right crack tip were greater than those at the soft left crack tip. For edge crack tips, when a/W 0.35, the SIFs were greater than the homogeneous materials. The experimental T-stresses for the center crack agreed well with the numerical T-stresses reported in previous research. For the edge crack, when a/W ≤ 0.3, the experimental T-stresses agreed with the numerical T-stress, but when a/W ≥ 0.4, considerable differences were observed between the experimental and numerical T-stresses. Where a(a) denotes the crack length for edge cracks or half the crack length for center cracks, and W is the width of the specimen. Experimental results coincide well with those reported in the literature, except for the T-stresses for edge crack when a/W > 0.3. Therefore, the THFGMs, which are new FGMs developed in this study, can be effectively used in experimental fracture analysis.read more
Citations
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Journal ArticleDOI
Comparative analysis of stress state in the vicinity of the crack-tips and notches using truncated williams series expansion
R. M. Zhabbarov,Larisa Stepanova +1 more
TL;DR: In this paper , an asymptotic analysis of the multi-parameter Williams series expansion of the stress-strain state in the vicinity of seven different configurations is performed, and it is shown that all configurations with the concentrated forces possess more sensitivity to the number of terms in truncated Williams series expansions and therefore require the more terms in the series expansion.
Journal ArticleDOI
Algorithm and its application for automatic measurement of the full-field isoclinic parameter by digital phase-shifting photoelasticity.
TL;DR: In this article , the photoelastic phase-shifting technique is used to assess isoclinic and isochromatic parameters, which affect each other, seriously hindering the development of the phaseshifting photo-elasticity method.
References
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Journal ArticleDOI
The crack problem for a nonhomogeneous plane
Feridun Delale,Fazil Erdogan +1 more
TL;DR: In this article, the authors considered the plane elasticity problem for a nonhomogeneous medium containing a crack and derived the integral equation having the derivative of the crack surface displacement as the density function.
Journal ArticleDOI
Fracture Mechanics of Functionally Graded Materials
TL;DR: In this paper, the authors proposed a method for reducing residual and thermal stresses and enhancing bonding strength by grading the material composition near the interfaces or through the coating, known as functionally graded materials (FGMs).
Journal ArticleDOI
The Surface Crack Problem for a Plate With Functionally Graded Properties
Fazil Erdogan,B. H. Wu +1 more
TL;DR: In this article, the authors considered the plane elasticity problem for a nonhomogeneous layer containing a crack perpendicular to the boundaries and solved the problem under three different loading conditions, namely fixed grip, membrane loading, and bending applied to the layer away from the crack region.
Journal ArticleDOI
Effect of Width and Length on Stress Intensity Factors of Internally Cracked Plates Under Various Boundary Conditions
TL;DR: In this article, the analysis of stress intensity factors of a strip with a longitudinal crack subject to tension and bending along its edges, and the tension of rectangular plates with a central crack are considered.
Journal ArticleDOI
Additive manufacturing of a functionally graded material from Ti-6Al-4V to Invar: Experimental characterization and thermodynamic calculations
Lourdes D. Bobbio,Richard Otis,John Paul Borgonia,R. Peter Dillon,Andrew A. Shapiro,Zi Kui Liu,Allison M. Beese +6 more
TL;DR: In this article, the microstructure, composition, phases, and microhardness were determined as a function of position within a functionally graded materials (FGMs), and detrimental phases associated with the compositional blending of the Ti-6Al-4V and Invar formed, leading to cracking in the final part.
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