The transient fracture behavior for a functionally graded layered structure subjected to an in-plane impact load. (English) Zbl 1202.74142
Summary: The transient fracture behavior of a functionally graded layered structure subjected to an in-plane impact load is investigated. The studied structure is composed of two homogeneous layers and a functionally graded interlayer with a crack perpendicular to the boundaries. The impact load is applied on the face of the crack. Fourier transform and Laplace transform methods are used to formulate the present problem in terms of a singular integral equation in Laplace transform domain. Considering variations of parameters such as the nonhomogeneity constant, the thickness ratio and the crack length, the dynamic stress intensity factors (DSIFs) in time domain are studied and some meaningful conclusions are obtained.
Keywords:
transient fracture behavior; functionally graded layered structure; dynamic stress intensity factorsReferences:
| [1] | Delale, F., Erdogan, F.: The crack problem for a nonhomogeneous plane. J. Appl. Mech. 50, 609–614 (1983) · Zbl 0542.73118 |
| [2] | Delale, F., Erdogan, F.: On the mechanical modeling of the interfacial region in bonded half-planes. J. Appl. Mech. 55, 317–324 (1988) |
| [3] | Chen, Y.F., Erdogan, F.: The interface problem for a nonhomogeneous coating bonded to a homogeneous substrate. J. Mech. Phys. Solids 44, 771–787 (1996) |
| [4] | Itou, S.: Stress intensity factors around a crack in a nonhomogeneous interfacial layer between two dissimilar elastic half-planes. Int. J. Fract. 110, 123–135 (2001) · Zbl 0985.74025 |
| [5] | Wang, B.L., Mai, Y.W., Sun, Y.G.: Anti-plane fracture of a functionally graded material strip. European Journal of Mechanics A/Solids 22, 357–368 (2003) · Zbl 1032.74642 |
| [6] | Guo, L.C., Wu, L.Z., Ma, L.: The interface crack problem under a concentrated load for a functionally graded coating-substrate composite system. Composite Structures 63 (3–4), 397–406 (2004) |
| [7] | Erdogan, F., Wu, B.H.: The surface crack problem for a plate with functionally graded properties. J. Appl. Mech. 64, 449–456 (1997) · Zbl 0900.73615 |
| [8] | Wang, Y.S., Huang, G.Y., Gross, D.: On the mechanical modeling of functionally graded interfacial zone with a Griffth crack: anti-plane deformation. J. Appl. Mech. 70, 676–680 (2003) · Zbl 1110.74748 |
| [9] | Wang, Y.S., Huang, G.Y., Gross, D.: On the mechanical modeling of functionally graded interfacial zone with a Griffith crack: plane deformation. Int. J. Fract. 125, 189–205 (2004) · Zbl 1187.74207 |
| [10] | Guo, L.C., Wu, L.Z., Zeng, T., Ma, L.: Mode I crack problem for a functionally graded orthotropic strip. European Journal of Mechanics-A/Solids 23(2), 219–234 (2004) · Zbl 1058.74620 |
| [11] | Choi, H.J.: Bonded dissimilar strips with a crack perpendicular to the functionally graded interface. Int. J. Solids and Struct. 33, 4101–4117 (1996) · Zbl 0919.73232 |
| [12] | Guo, L.C., Wu, L.Z., Ma, L., Zeng, T.: Fracture analysis of a functionally graded coating-substrate structure with a crack perpendicular to the interface - Part I: Static problem. Int. J. Fract. 127, 21–38 (2004) · Zbl 1187.74177 |
| [13] | Wang, B.L., Han, J.C., Du, S.Y.: Dynamic fracture mechanics analysis for non-homogeneous composite material with multiple cracks. Acta Mechanica Sinica 31, 550–562 (1999) (in Chinese) |
| [14] | Wang, B.L., Han, J.C., Du, SY.: Crack problems for non-homogeneous composites subjected to dynamic loading. Int. J. Solids Struct. 37, 1251–1274 (2000) · Zbl 0970.74066 |
| [15] | Huang, G.Y., Wang, Y.S.: A new model for fracture analysis of a functionally graded interfacial zone under harmonic anti-plane loading. Eng. Fract. Mech. 71, 1841–1851 (2004) |
| [16] | Jiang, L.Y., Wang, X.D.: On the dynamic crack propagation in an interphase with spatially varying elastic properties under inplane loading. Int. J. Fract., 114, 225–244 (2002) |
| [17] | Li, C.Y., Weng, G.J., Duan, Z.P.: Dynamic behavior of a cylindrical crack in a functionally graded interlayer under torsional loading. Int. J. Solids Struct. 38, 7473–7485 (2001) · Zbl 1015.74052 |
| [18] | Li, C., Duan, Z., Zou, Z.: Torsional impact response of a penny-shaped interface crack in bonded materials with a graded materials interlayer. J. Appl. Mech. 69, 303–308 (2002) · Zbl 1110.74552 |
| [19] | Chen, J., Liu, Z.X., Zou, Z.Z.: Transient internal crack problem for a nonhomogeneous orthotropic strip (Mode I). Int. J. Eng. Sci. 40, 1761–1774 (2002) |
| [20] | Zhang, Ch., Sladek, J., Sladek, V.: Effects of material gradients on transient dynamic mode-III stress intensity factors in a FGM. Int. J. Solids Struct. 40, 5251–5270 (2003) · Zbl 1060.74658 |
| [21] | Guo, L.C., Wu, LZ, Zeng, T., Ma, L.: 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 (2004) · Zbl 1187.74178 |
| [22] | Erdogan, F., Gupta, G.D.: On the numerical solution of singular integral equations. Quart. Appl. Math. 30, 525–534 (1972) · Zbl 0236.65083 |
| [23] | Shbeeb, N.I., Binienda, W.K., Kreider, K.: Analysis of the driving force for multiple cracks in an infinite nonhomogeneous plate, part I: theoretical analysis. J. Appl. Mech. 66, 492–500 (1999) |
| [24] | Shbeeb, N.I., Binienda, W.K., Kreider, K.: Analysis of the driving force for multiple cracks in an infinite nonhomogeneous plate, part II: numerical solutions. J. Appl. Mech. 66, 501–506 (1999) |
| [25] | Miller, M.K., Guy, W.T.: Numerical inversion of the Laplace transform by use of Jacobi polynomials. SIAM J. Numer. Analysis 3, 624–635 (1966) · Zbl 0152.15401 |
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