Response Surface Methodology Based Determination of Stress Intensity Factor of Dissimilar Cracks on Composite Surfaces

Yugal Kishor Sahu*, Shubhrata Nagpal **
* Research Scholar, Department of Mechanical Engineering, Bhilai Institute of Technology, Durg, Chhattisgarh, India
** Professor, Department of Mechanical Engineering, Bhilai Institute of Technology Durg, Chhattisgarh, India.
Periodicity:May - July'2018


The methodology used for assessing the structural integrity of a given material plays as crucial role in predicting the Stress Intensity Factor (SIF) arises between neighbouring cracks. The assessment of laminated composite materials and its crack propagation is well studied and several models are available to numerically draw out close approximation of SIF with that of experimental counterpart. However, drawing such models for dissimilar cracks on composite surface remains a daunting problem owing to higher computational expense required to discover and review the exploratory variable dictating the deformation process. In this research, a detailed study has been done on the SIF determination of semi-elliptical cracks corresponding to different depths and aspect ratios of a composite material through the usage of response surface methodology. The numerical results reported in the study are in close agreement with that of experimental output.


Stress Intensity Factor, Interaction, Semi-elliptical Crack, Structural Integrity Assessment

How to Cite this Article?

Sahu, Y.K., & Nagpal, S. (2018). Response Surface Methodology Based Determination of Stress Intensity Factor of Dissimilar Cracks on Composite Surfaces. i-manager’s Journal on Future Engineering and Technology, 13(4), 28-33.


[1]. Anlas, G., Santare, M. H., & Lambros, J. (2000). Numerical calculation of stress intensity factors in functionally graded materials. International Journal of Fracture, 104(2), 131-143.
[2]. Asemi, K., Akhlaghi, M., & Salehi, M. (2012). Dynamic analysis of thick short length FGM cylinders. Meccanica, 47(6), 1441-1453.
[3]. Asgari, M., & Akhlaghi, M. (2011). Thermo-mechanical analysis of 2D-FGM thick hollow cylinder using graded finite elements. Advances in Structural Engineering, 14(6), 1059-1073.
[4]. Asghari, M., & Ghafoori, E. (2010). A three-dimensional elasticity solution for functionally graded rotating disks. Composite Structures, 92(5), 1092-1099.
[5]. Asghari, M., Rahaeifard, M., Kahrobaiyan, M. H., & Ahmadian, M. T. (2011). The modified couple stress functionally graded Timoshenko beam formulation. Materials & Design, 32(3), 1435-1443.
[6]. Barati, E., Mohandesi, J. A., & Alizadeh, Y. (2010). The effect of notch depth on J-integral and critical fracture load in plates made of functionally graded aluminumsilicone carbide composite with U-notches under bending. Materials & Design, 31(10), 4686-4692.
[7]. Birman, V., & Byrd, L. W. (2007). Modeling and analysis of functionally graded materials and structures. Applied Mechanics Reviews, 60(5), 195-216.
[8]. Bouchafa, A., Benzair, A., Tounsi, A., Draiche, K., & Mechab, I. (2010). Analytical modelling of thermal residual stresses in exponential functionally graded material system. Materials & Design, 31(1), 560-563.
[9]. Choules, B. D., Kokini, K., & Taylor, T. A. (2001). Thermal fracture of ceramic thermal barrier coatings under high heat flux with time-dependent behavior: Part 1. Experimental results. Materials Science and Engineering: A, 299(1-2), 296-304.
[10]. Dolbow J. E., & Gosz, M. (2002). On the computation of mixed mode stress intensity factors in functionally graded materials. Int. J. Solids Struct., 39(9), 2557-2574.
[11]. Farid, M., Zahedinejad, P., & Malekzadeh, P. (2010). Three-dimensional temperature dependent free vibration analysis of functionally graded material curved panels resting on two-parameter elastic foundation using a hybrid semi-analytic, differential quadrature method. Materials & Design, 31(1), 2-13.
[12]. Hosseini, S. M., & Shahabian, F. (2010). Reliability of stress field in Al–Al2O3 functionally graded thick hollow cylinder subjected to sudden unloading, considering uncertain mechanical properties. Materials & Design, 31(8), 3748-3760.
[13]. Jabbari, M., Bahtui, A., & Eslami, M. R. (2009). Axisymmetric mechanical and thermal stresses in thick short length FGM cylinders. International Journal of Pressure Vessels and Piping, 86(5), 296-306.
[14]. Jalali, S. K., Naei, M. H., & Poorsolhjouy, A. (2010). Thermal stability analysis of circular functionally graded sandwich plates of variable thickness using pseudo-spectral method. Materials & Design, 31(10), 4755-4763.
[15]. Kim, J. H., & Paulino, G. H. (2002). Finite element evaluation of mixed mode stress intensity factors in functionally graded materials. International Journal for Numerical Methods in Engineering, 53(8), 1903-1935.
[16]. Liu, H., Tao, J., Gautreau, Y., Zhang, P., & Xu, J. (2009). Simulation of thermal stresses in SiC–Al2O3 composite tritium penetration barrier by finite-element analysis. Materials & Design, 30(8), 2785-2790.
[17]. Nie, G. J., Zhong, Z., & Batra, R. C. (2011). Material tailoring for functionally graded hollow cylinders and spheres. Composites Science and Technology, 71(5), 666-673.
[18]. Rangaraj, S., & Kokini, K. (2004). A study of thermal fracture in functionally graded thermal barrier coatings using a cohesive zone model. J. Eng. Mater. Technol., 126(1), 103-115. doi:10.1115/1.1631028.
[19]. Rousseau, C. E., & Tippur, H. V. (2002). Evaluation of crack tip fields and stress intensity factors in functionally graded elastic materials: cracks parallel to elastic gradient. International Journal of Fracture, 114(1), 87- 112.
[20]. Sethuraman, R., Reddy, G. S. S., & Ilango, I. T. (2003). Finite element based evaluation of stress intensity factors for interactive semi-elliptic surface cracks. International Journal of Pressure Vessels and Piping, 80(12), 843-859.
[21]. Taghvaeipour, A., Bonakdar, M., & Ahmadian, M. T. (2012). Application of a new cylindrical element formulation in finite element structural analysis of FGM hollow cylinders. Finite Elements in Analysis and Design, 50, 1-7.
[22]. Yoshimura, S., Lee, J. S., & Yagawa, G. (1997). Automated system for analyzing stress intensity factors of three-dimensional cracks: Its application to analyses of two dissimilar semi-elliptical surface cracks in plate. Journal of Pressure Vessel Technology, 119(1), 18-26.
[23]. Zeng, Z. J., Dai, S. H., & Yang, Y. M. (1993). Analysis of surface cracks using the line-spring boundary element method and the virtual crack extension technique. International Journal of Fracture, 60(2), 157-167.

Purchase Instant Access

Single Article

North Americas,UK,
Middle East,Europe
India Rest of world
Pdf 35 35 200 20
Online 35 35 200 15
Pdf & Online 35 35 400 25

If you have access to this article please login to view the article or kindly login to purchase the article
Options for accessing this content:
  • If you would like institutional access to this content, please recommend the title to your librarian.
    Library Recommendation Form
  • If you already have i-manager's user account: Login above and proceed to purchase the article.
  • New Users: Please register, then proceed to purchase the article.