Browse > Article
http://dx.doi.org/10.3795/KSME-A.2011.35.9.1051

Influence of Density Variation on Stress and Displacement Fields at a Propagating Mode-III Crack Tip in Orthotropic Functionally Graded Materials  

Lee, Kwang-Ho (Dept. of Automotive Engineering, Kyungpook Nat'l Univ.)
Publication Information
Transactions of the Korean Society of Mechanical Engineers A / v.35, no.9, 2011 , pp. 1051-1061 More about this Journal
Abstract
The influences of density variation on stress and displacement fields at a propagating Mode-III crack tip in orthotropic functionally graded materials (OFGMs) are studied. The crack propagates dynamically at a right angle to the gradient of physical properties. Three kinds of elasticity and density gradients are analyzed in this study. They are as follows: (1) the density varies without elasticity variation, (2) the directions of the density and elasticity gradients are opposite to each other, and (3) same. For these cases, the stress and displacement fields at the crack tip are developed and the dynamic stress intensity factors for propagating cracks are also studied. When the crack speed is low, the influence of density variation on the stresses and displacement is low. However, when the crack speed is high, this influence is very high.
Keywords
Variation of Density and Elasticity; Dynamic Stress Intensity Factors; Orthotropic Functionally Graded Materials; Propagating Crack; Stress and Displacement Fields;
Citations & Related Records
Times Cited By KSCI : 2  (Citation Analysis)
Times Cited By SCOPUS : 0
연도 인용수 순위
1 Zhang, C. H., Sladek, J. and Sladek, V., 2003 "Effects of Material Gradients on Transient Dynamic Mode-III Stress Intensity Factors in a FGM," Int. J. Solids and Struct., Vol. 40, pp. 5251-5270.   DOI   ScienceOn
2 Feng, W.J., Zhang, Z.G. and Zou, Z.Z., 2003," Impact Failure Prediction of Mode III Crack in Orthotropic Functionally Graded Strip", Theo. Appl. Fract. Mech., Vol. 40, pp. 97-104.   DOI   ScienceOn
3 Yao, X.F., Xu, W. and Yeh, H.Y., 2009 "Dynamic Caustic Analysis of a Propagating Mode III Crack in Functionally Graded Material Based on a Higher-order Transient Crack Tip Expansion," J. of Reinforced Plastics and Composites, Vol. 25, No. 10, pp. 1079-1089.
4 Lee, K. H., 2003, "Analysis of a Mode III Propagating Crack in an Exponential Functionally Gradient Isotropic Material Along Y Direction," Energy and Environment Rese, Vol. 1, pp.35-42.
5 Lee, K. H., 2005, "Analysis of a Mode III Crack Propagating Along the Normal to Gradient in Orthotropic Functionally Gradient Materials," Energy and Environment Rese, Vol. 2, pp.31-40.
6 Lee, K. H., 2006, "Stress and Displacement Fields of a Propagating Mode III Crack in Orthotropic Functionally Gradient Materials with Property Gradation Along Y direction," J. Kor. of Indust. Appl., Vol. 9, No. 1, pp. 37-44.
7 Nomura, T., Moriguchi, H., Tsuda, K., Isobe, K., Ikegaya A. and Moriyama, K., 1999, "Material Design Method for the Functionally Graded Cemented Carbide Tool," Inter. J. Refr. Metals & Hard Materials, Vol. 17, pp. 397-404.   DOI   ScienceOn
8 Pompea, W., Worch, H., Epple, M., Friess, W., Gelinsky, M., Greil, P., Hempele, U., Charnweber D. and Schulte, K., 2003, "Functionally Graded Materials for Biomedical Applications," Mat. Sci. Eng. (A), Vol. 362, pp. 40-60.   DOI   ScienceOn
9 Lin, D., Li, Q., Li, W., Zhou, S. and Swain, M. V., 2009, "Design Optimization of Functionally Graded Dental Implant for Bone Remodeling," Composites: Part B, Vol. 40, pp. 668-675.   DOI   ScienceOn
10 Steinhausen, R., Kouvatov, A., Pientschke, C., Langhammer, H.T., Seifert, W., Beige, H. and Abicht, H., 2004, "AC-Poling of Functionally Graded Piezoelectric Bending Devices," Integrated Ferroelectrics, Vol. 63, pp.15-20.   DOI   ScienceOn
11 Jin, Z. H. and Noda, N., 1994, "Crack-tip singular fields in Nonhomogeneous Materials," J. Appl. Mech., Vol. 61, pp. 738-740.   DOI   ScienceOn
12 Lee, K. H., 2011, "Addenda to Analysis of a Mode III Crack Propagating Along the Normal to Gradient in Orthotropic Functionally Gradient Materials," Energy and Environment Rese, Vol. 8, pp. 25-27.
13 Szafran, M., Konopka, K., Bobryk, E. and Kurzydłowski, K. J., 2007, "Ceramic matrix Composites with Gradient Concentration of Metal Particle," J. of the Eur. Cera. Soc., Vol. 27, pp. 651-654.   DOI   ScienceOn
14 Chen, E.S.C., 1999, "Army Focused Research Team on Functionally Graded Armor Composites," Mater. Sci. Eng. (A), Vol. 259, pp.155-161.   DOI   ScienceOn
15 Marur, P.R. and Tippur, H.V., 2000, "Numerical Analysis of Crack-Tip Fields in Functionally Graded Materials with a Crack Normal to the Elastic Gradient," Inter. J. Solids and Struct., Vol. 37, pp. 5353-5370.   DOI   ScienceOn
16 Li, Y. D., Lee, K. Y. and Dai, Y., 2008," Dynamic Stress Intensity Factors of Two Collinear Mode-III Cracks Perpendicular to and on the Two Sides of a Bi-FGM Weak-Discontinuous Interface, "Eur. J. Mech. A/Solids, Vol. 27, pp. 808-823.   DOI   ScienceOn
17 Delale, F. and Erdogan F., 1983, "The Crack Problem for a Nonhomogeneous Plane," J. Appl. Mech., Vol. 50, pp. 609-614.   DOI
18 Erdogan F., 1995, "Fracture Mechanics of Functionally Graded Materials," Composites Engineering, Vol. 5, No.7, pp. 753-770.   DOI   ScienceOn
19 Eischen J.W., 1987, "Fracture of Nonhomogeneous Materials," Int. J. Fract., 34(1) pp. 3-22.
20 Lee, K. H., Hawong J. S. and Choi, S. H., 1993, "A Study on the Dynamic Stress Intensity Factor of Orthotropic Materials (II) : A Study on the Stress Field, Displacement Field and Energy Release Rate in the Dynamic Mode III under Constant Crack Propagation Velocity," Trans. of the KSME, Vol. 17, No. 2, pp. 331-341.   과학기술학회마을
21 Lee, K. H., 2010, "Stress and Displacement Fields of a propagating Mode III Crack in Orthotropic Piezoelectric Materials," Trans. of the KSME (A), Vol. 34, No. 6, pp. 701-708.   과학기술학회마을   DOI   ScienceOn
22 Freund, L. B., 1990, "Dynamic Fracture Mechanics," Cambridge University Press.
23 Koizumi, M., 1997, "FGM Activities in Japan," Composites part B, Vol. 28B, pp. 1-4.
24 Lee, K. H., 2004, "Characteristics of a Crack Propagating Along the Gradient in Functionally Gradient Materials,"Int. J. Solids and Struct., Vol. 41, pp. 2879-2898.   DOI   ScienceOn
25 Lee, K. H., 2009, "Analysis of a Propagating Crack in Functionally Graded Materials with Property Variation Angled to Crack Direction," Comput. Mater. Sci., Vol. 45, pp. 941-950.   DOI   ScienceOn
26 Lee, K. H., 2009, " Analysis of a Transiently Propagating Crack in Functionally Graded Materials under Mode I and II," Int. J. Eng. Sci., Vol. 47, pp. 852-865.   DOI   ScienceOn
27 Niino, M., Hirai, T. and Watanabe R., 1987, "Functionally Gradient Materials as Heat-Resistant Use for Space Plane," J. Jpn. Soc. Compos. Mater., Vol. 13, (1) pp. 257-264.   DOI
28 Niino, A. and Maeda, S., 1990,"Recent Development Status of Functionally Gradient materials," ISIJ Int., Vol. 30, pp. 699-703.   DOI
29 Xing, A., Jun, Z., Chuanzhen, H. and Jianhua, Z., 1998, "Development of an Advanced Ceramic Tool Material-Functionally Gradient Cutting Ceramics," Mater. Sci. Eng. (A), Vol. 248, pp.125-131.   DOI   ScienceOn