Mixed-Mode Transient Analysis of Multiple Interface Cracks Between Half-Plane and Functionally Graded Layer
محورهای موضوعی : Structural MechanicsM. Rezaei Rased 1 , R. Bagheri 2 , R. Jamalpour 3
1 - Department of Mechanical Engineering, Karaj Branch, Islamic Azad University, Karaj, Iran
2 - Department of Mechanical Engineering, Karaj Branch, Islamic Azad University, Karaj, Iran
3 - Department of Civil Engineering, Karaj Branch, Islamic Azad University, Karaj, Iran
کلید واژه: Multiple interfacial crack, Functionally graded coatings, In-plane impact loading, Dynamic stress intensity analysis, Dislocation technique.,
چکیده مقاله :
The propagation of multiple interfacial cracks in dissimilar materials under mixed-mode impact loading conditions is investigated in this study. The analytical framework utilized in this investigation is rooted in the distributed dislocation technique. The method of integral transformations is employed to compute stress fields within a medium containing dislocations, positioned at the interface boundary between the half-plane and the functionally graded layer. Dislocation solutions are employed to formulate systems of Cauchy singular integral equations to characterize the traction vector along the surfaces of cracks. These integral equations are solved numerically to determine the dislocation density along the crack surfaces. This information allows for the computation of dynamic stress intensity factors (DSIFs) at the crack tips. The numerical results illustrate the impact of nonhomogeneity parameters, coating thickness, crack length, and interactions between cracks on DSIFs. These findings provide valuable insights into the behavior of graded coatings under impact loads.
The propagation of multiple interfacial cracks in dissimilar materials under mixed-mode impact loading conditions is investigated in this study. The analytical framework utilized in this investigation is rooted in the distributed dislocation technique. The method of integral transformations is employed to compute stress fields within a medium containing dislocations, positioned at the interface boundary between the half-plane and the functionally graded layer. Dislocation solutions are employed to formulate systems of Cauchy singular integral equations to characterize the traction vector along the surfaces of cracks. These integral equations are solved numerically to determine the dislocation density along the crack surfaces. This information allows for the computation of dynamic stress intensity factors (DSIFs) at the crack tips. The numerical results illustrate the impact of nonhomogeneity parameters, coating thickness, crack length, and interactions between cracks on DSIFs. These findings provide valuable insights into the behavior of graded coatings under impact loads.
[1] El-Borgi S., Erdogan F., Ben Hatira F., 2003, Stress intensity factors for an interface crack between a functionally graded coating and a homogeneous substrate, In J Fract 123: 139–162.
[2] Chi S., Chung Y.L., 2003, Cracking in coating–substrate composites with multi-layered and FGM coatings, Eng Fract Mech 70: 1227–1243.
[3] Huang G.Y., Wang Y.S., Gross D., 2003, Fracture analysis of functionally graded coatings: plane deformation, Eur J Mech A/Solid 22: 535–544.
[4] Dag S., Yildirim B., Erdogan F., 2004, Interface crack problems in gradedorthotropic media: Analytical and computational approaches, Int J Fract 130: 471–496.
[5] Liu L., Kardomateas G.A., Holmes J.W., 2004, Mixed-mode stress intensity factors for a crack in an anisotropic bi-material strip, Int J Solids Struct 41: 3095–3107.
[6] Huang G.Y., Wang Y.S., Yu S.W., 2005, A new model for fracture analysis of functionally graded coatings under plane deformation, Mech Mater 37: 507–516.
[7] Chen J., 2005, Determination of thermal stress intensity factors for an interface crack in a graded orthotropic coating-substrate structure, Int J Fract 133: 303–328.
[8] Long X., Delale F., 2005, The mixed mode crack problem in an FGM layer bonded to a homogeneous half-plane, Int J Solids Struct 42: 3897–3917.
[9] Guo L.C., Wu L.Z., Zeng T., Ma L., 2004, The dynamic fracture behavior of a functionally graded coating–substrate system, Compos Struct 64: 433–441.
[10] Guo L.C., Wu L.Z., Zeng T., Ma L., 2004, Fracture analysis of a functionally graded coating-substrate structure with a crack perpendicular to the interface-Part II: Transient problem, Int J Fract 127: 39–59.
[11] Guo L.C., Wu L.Z., Zeng T., Cao D., 2005, The transient response of a coating–substrate structure with a crack in the functionally graded interfacial layer, Compos Struct 70: 109–119.
[12] Yong dong L., Bin J., Nan Z., Li qiang T., Yao D., 2006, Dynamic stress intensity factor of the weak/micro-discontinuous interface crack of a FGM coating, Int J Solids Struct 43: 4795–4809.
[13] Guo L.C., Noda N., 2008, Dynamic investigation of a functionally graded layered tructure with a crack crossing the interface, Int J Solids Struct 45: 336–357.
[14] Itou S., 2010, Dynamic stress intensity factors for two parallel interface cracks between a nonhomogeneous bonding layer and two dissimilar elastic half-planes subject to an impact load, Int J Solids Struct 47: 2155–2163.
[15] Vafa J.P., Baghestani A.M., Fariborz S.J., 2015, Transient screw dislocation in exponentially graded FG layers, Arch Appl Mech 85: 1–11.
[16] Vafa J.P., Fariborz S.J., 2016, Transient analysis of multiply interacting cracks in orthotropic layers, Eur J Mech A/Solids 60: 254-276.
[17] Yousefi P., Fariborz J., Fariborz S.J., 2016, Half-layers with interface cracks under anti-plane impact, Theor Appl Fract Mech 85: 367-374.
[18] Fallahnejad M., Bagheri R., Noroozi M., 2018, Transient analysis of two dissimilar FGM layers with multiple interface cracks, Struct Eng Mech 67: 277-281.
[19] Bagheri R., 2019, Transient behavior of multiple interface cracks in two non-homogeneous half-layers, IJST-T Mech Eng 44: 619–629.
[20] Bagheri R., Monfared M.M., 2020, In-plane transient analysis of two dissimilar nonhomogeneous half-planes containing several interface cracks, Acta Mech 231: 3779–3797.
[21] Stehfest H., 1970, Algorithm 368: Numerical inversion of Laplace transforms [D5], Commun ACM 13: 47-49.
[22] Bueckner H., 1958, The propagation of cracks and the energy of elastic deformation, Transaction of the ASME Series E 80: 1225-1230.
[23] Baghestani A.M., Fotuhi A.R., Fariborz S.J., 2013, Multiple interacting cracks in an orthotropic layer, Arch Appl Mech 83: 1549-1567.
[24] Sih G., Embley G., Ravera R., 1972, Impact response of a finite crack in plane extension, Int J Solids Struct 8: 977-993.
[25] Mottale H., Monfared M.M., Bagheri R., 2018, The multiple parallel cracks in an orthotropic non-homogeneous infinite plane subjected to transient in-plane loading, Eng Fract Mech 199: 220-234.
[26] Jafari A., Monfared M.M., Bagheri R., 2019, Mixed‑mode computation of the transient dynamic stress intensity factor for multiple interface cracks, J Braz Soc Mech Sci 41: 573.
[27] Monfared M.M., Ayatollahi M., 2016, Multiple crack problems in nonhomogeneous orthotropic planes under mixed mode loading conditions, Eng Fract Mech 155: 1-17.
