Studying the Effect of Pulse Shape on Dynamic Stress Intensity Factor at the Finite Crack Tip using Displacement Fields
Subject Areas : Mechanical EngineeringHossein Rahmani 1 , Mohammad Ahmadi Balootaki 2
1 - Department of Mechanical Engineering,
University of Sistan and Baluchestan, Zahedan, Iran
2 - Department of Mechanical Engineering,
University of Sistan and Baluchestan, Zahedan, Iran
Faculty of Shahid Bahonar, Sistan and Baluchestan Branch,
Technical and Vocational University (TVU), Zahedan, Iran
Keywords:
Abstract :
[1] Sih, G. C., Elastodynamic Crack Problems, Noordhoff International Publishing, Company bv Leyden, Netherland, 1977, pp. 1-23.
[2] Freund, L. B., Dynamic Fracture Mechanics, Cambridge University press, New York, 1998, pp. 52-82
[3] Sih, G. C., Embley, G. T., and Ravera, R. S., Impact Response of a Finite Crack in Plane Extension, International Journal of Solids and Structures, Vol. 8, No. 7, 1972, pp. 977-993.
[4] Thau, S. A., Tsin-Hwei, L., Transient Stress Intensity Factors for A Finite Crack in an Elastic Solid Caused by A Dilatational Wave, International Journal of Solids and Structures, Vol. 7, No. 7, 1971, pp. 731-750.
[5] Ing, Y. S., Ma, C. C., Transient Response of a Finite Crack Subjected to Dynamic Anti-Plane Loading, International journal of fracture, Vol. 82, No. 4, 1996, pp. 345-362.
[6] Ing, Y. S., Ma, C. C., Exact Transient Full–Field Analysis of a Finite Crack Subjected to Dynamic Anti–Plane Concentrated Loadings in Anisotropic Materials, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 461, No. 2054, 2005, pp. 509-539.
[7] Kassir, M., Bandyopadhyay, K., Impact Response of a Cracked Orthotropic Medium, Journal of applied mechanics, Vol. 50, No. 3, 1983, pp. 630-636.
[8] Rubio-Gonzalez, C., Mason, J., Dynamic Stress Intensity Factor Due to Concentrated Loads On a Propagating Semi-Infinite Crack in Orthotropic Materials, International journal of fracture, Vol. 118, No. 1, 2002, pp. 77-96.
[9] Rodríguez-Castellanos, A., Rodríguez-Sánchez, J., Núñez-Farfán, J., and Olivera-Villaseñor, R., Crack Effects On the Propagation of Elastic Waves in Structural Elements, Revista mexicana de física, Vol. 52, No. 2, 2006, pp. 104-110.
[10] Itou, S., Dynamic Stress Intensity Factors Around a Cylindrical Crack in an Infinite Elastic Medium Subject to Impact Load, International Journal of Solids and Structures, Vol. 44, No. 22-23, 2007, pp. 7340-7356.
[11] Eslami, S., Amini, F, Dynamic Stress Intensity Factors Due to Scattering of Harmonic Waves by A Crack in an Infinite Medium, Fatigue & Fracture of Engineering Materials & Structures, Vol. 31, No. 10, 2008, pp. 918-927.
[12] Zhang, C., Gross, D., On Wave Propagation in Elastic Solids with Cracks, Computational Mechanics Publications, 1998, pp. 45-59.
[13] Chirino, F., Dominguez, J., Dynamic Analysis of Cracks Using Boundary Element Method, Engineering Fracture Mechanics, Vol. 34, No. 5-6, 1989, pp. 1051-1061.
[14] Fedelinski, P., Aliabadi, M., and Rooke, D., The Dual Boundary Element Method in Dynamic Fracture Mechanics, Engineering Analysis with Boundary Elements, Vol. 12, No. 3, 1993, pp. 203-210.
[15] Phan, A.V., Gray, L. J., and Salvadori, A., Transient Analysis of the Dynamic Stress Intensity Factors Using Sgbem for Frequency-Domain Elastodynamics, Computer Methods in Applied Mechanics and Engineering, Vol. 199, No. 45-48, 2010, pp. 3039-3050.
[16] Ebrahimi, S., Phan, A.V., Dynamic Analysis of Cracks Using the Sgbem for Elastodynamics in The Laplace-Space Frequency Domain, Engineering Analysis with Boundary Elements, Vol. 37, No. 11, 2013, pp. 1378-1391.
[17] Malezhik, M., Malezhik, O., and Chernyshenko, I., Photoelastic Determination of Dynamic Crack-Tip Stresses in an Anisotropic Plate, International Applied Mechanics, Vol. 42, No. 5, 2006, pp. 574-581.
[18] K. Ravi-Chandar, Dynamic Fracture, Elsevier, 2004, pp. 9-46.
[19] Wang, L., Foundations of Stress Waves, Amsterdam, Netherland, 2011, pp. 57-87.
[20] Dyke, P. P., An Introduction to Laplace Transforms and Fourier Series, 2nd ed, Springer, New York, 2014, pp. 129-152.
[21] Erdelyi. A., Sneddon, I. N., Fractional Integration and Dual Integral Equations, Canadian Journal of Mathematics, Vol. 14, No. 1, 1962, pp. 685-693.
[22] Miller, M. K., Guy, W.T., Numerical Inversion of the Laplace Transform by Use of Jacobi Polynomials, SIAM Journal on Numerical Analysis, Vol. 3, No. 4, 1966, pp. 624-635.
[23] Sneddon, I. N., Mixed Boundary Value Problems in Potential Theory, New York: Wiley, 1966, pp. 69-85.
[24] Ramírez, H., Rubio-Gonzalez, C., Finite-Element Simulation of Wave Propagation and Dispersion in Hopkinson Bar Test, Materials & design, Vol. 27, No. 1, 2006, pp. 36-44.
[25] Elkaranshawy, H. A., Bajaba, N. S., A Finite Element Simulation of Longitudinal Impact Waves in Elastic Rods, Materials with Complex Behaviour II, Vol. 16, No. 1, 2012, pp. 3-17.
[26] Lu, Y., Li, Q., Appraisal of Pulse-Shaping Technique in Split Hopkinson Pressure Bar Tests for Brittle Materials, International Journal of Protective Structures, Vol. 1, No. 3, 2010, pp. 363-390.