G. R. Irwin, J. A. Kies, Critical energy rate analysis of fracture strength, Journal of Welding, 33(1)(1954) 193-198.
 G. R. Irwin, Analysis of stresses and strains near the end of a crack traversing a plate, Journal of Applied Mechanics, 24(1) (1957) 361-364.
 B. Biondi, S. Caddemi, Closed form solutions of Euler–Bernoulli beams with singularities, Journal of Solids Structure, 42 (2005) 3027–3044.
 S. Caddemi, I. Calio, Exact closed-form solution for the vibration modes of the Euler–Bernoulli beam with multiple open cracks, Journal of Sound and Vibration, 327(2009) 473-489.
 P. Ricci, E. Viola, Stress intensity factors for cracked T-section and dynamic behaviour of T-beams, Engineering Fracture Mechanics, 73 (2006) 91-111.
 T. Yokoyama, M.C. Chen, Vibration analysis of edge- cracked beams using a line-spring model, Engineering Fracture Mechanics, 59(3) (1998) 403-409.
 A.D. Dimarogonas, Vibration of cracked structures: A state of the art review, Engineering Fracture Mechanics, 55(5) (1996) 831-857.
 M. H. Walid, Crack detection from the variation of the eigenfrequencies of a beam on elastic foundation, Engineering Fracture Mechanics, 52(3) (1995) 409-421.
 M. Hsu, Vibration analysis of edge-cracked beam on elastic foundation with axial loading using the differential quadrature method, Comput. Methods Appl. Mech. Engrg., 194(1) (2005) 1–17.
 M. Nassar, S. Matbuly, M. Ragb, Vibration analysis of structural elements using differential quadrature method, Journal of Advanced Research, 4(1) (2013) 93–102.
 Y. Shin, J. Yun, K. Seong, J. Kim, S. Kang, Natural frequencies of Euler-Bernoulli beam with open cracks on elastic foundations, Journal of Mechanical Science and Technology, 20(4) (2006) 467-472.
 T. Yan, S. Kitipornchai, J. Yang, X. Q. He, Dynamic behaviour of edge-cracked shear deformable functionally graded beams on an elastic foundation under a moving load, Composite Structures, 93(11)(2011) 2992–3001.
 A. Mirzabeigy, F. Bakhtiari-Nejad, Semi-analytical approach for free vibration analysis of cracked beams resting on two-parameter elastic foundation with elastically restrained ends, Front. Mech. Eng., 9( 2)(2014) 191–202.
 M. Attar, A. Karrech, K. Regenauer-Lieb, Free vibration analysis of a cracked shear deformable beam on a two-parameter elastic foundation using a lattice spring model, Journal of Sound and Vibration, 333(11) (2014) 2359–2377.
 M. Ghasemi, A. Ariaei, Crack detection in Euler- Bernoulli beams on elastic foundation using genetic algorithm based on discrete element technique, Indian j.sci.res., 1( 2) (2014) 248-253.
 S. D. Akbas, Free Vibration Analysis Of Edge Cracked Functionally Graded Beams Resting On Winkler-Pasternak Foundation, International Journal of Engineering & Applied Sciences, 7(3) (2015) 1-15.
 A. C. Batihan, F. S. Kadioglu, Vibration Analysis of a Cracked Beam on anElastic Foundation, International Journal of Structural Stability and Dynamics, 16( 5)(2016) 1-18.
 A. Khnaijar, R. Benamar, A discrete model for nonlinear vibrations of a simply supported cracked beams resting on elastic foundations, Diagnostyka, 18( 3) (2017) 39-46.
 Y. Kumar, The Rayleigh–Ritz method for linear dynamic, static and buckling behavior of beams, shells and plates: A literature review, Journal of Vibration and Control, 24(1) (2017) 1205-1227.
 K. V. Terzaghi, Evaluation of coefficient of subgrade reaction, Geotechnique, 5(4) (1995) 297-326.
 A. W. Leissa, M. S. Qatu, Vibrations of Continuous Systems, First edition, McGraw-Hill United States of America, 2011.
 ABAQUS, version 6.12-3, Simulia Abaqus, Dassault Systemes Simulia Corp, Build ID: 2012-10-04- 20.52.12-120045, United States of America, 2012.