Research Papers

Dynamic Fracture of Layered Plates Subjected to In-Plane Bending

[+] Author and Article Information
Servesh Kumar Agnihotri

Department of Mechanical Engineering,
Indian Institute of Technology Kanpur,
Kanpur 208016, India

Venkitanarayanan Parameswaran

Department of Mechanical Engineering,
Indian Institute of Technology Kanpur,
Kanpur 208016, India
e-mail: venkit@iitk.ac.in

1Corresponding author.

Contributed by the Materials Division of ASME for publication in the JOURNAL OF ENGINEERING MATERIALS AND TECHNOLOGY. Manuscript received January 15, 2016; final manuscript received June 6, 2016; published online July 29, 2016. Assoc. Editor: Hareesh Tippur.

J. Eng. Mater. Technol 138(4), 041016 (Jul 29, 2016) (8 pages) Paper No: MATS-16-1016; doi: 10.1115/1.4033911 History: Received January 15, 2016; Revised June 06, 2016

Layered structures typically used in applications such as windshields, thermal protection systems, heavy armor, etc., have property jumps at the layer interfaces. Present study focuses on understanding crack initiation and propagation in such systems under dynamic loading particularly when the property jumps are across the crack front. Layered plates were fabricated by joining polymethylmethacrylate (PMMA) and epoxy sheets using an epoxy-based adhesive (Araldite). Single-edge notched (SEN) specimens were subjected to dynamic loading using a modified Hopkinson bar setup. High-speed imaging coupled with dynamic photoelasticity was used to record the crack-tip isochromatic fringes from which the stress intensity factor (SIF) history was obtained. In selected experiments, a pair of strain gages installed on surfaces of specimen was used to record the strain history in the layers, from which the SIF in each layer was obtained. The results indicated that, prior to crack extension, the strain in both layers was identical. The crack tips in the layers start extending at different time instants with the one in the relatively brittle epoxy layer extending first followed by the one in the PMMA layer. At low impact velocity, the delay obtained was significantly higher than that at high impact velocity. The speed of epoxy crack was lower initially due to the bridging of the crack by the uncracked portion of the PMMA layer till initiation of the crack in the PMMA layer. This effect reduced at higher impact velocity for which the delay was much lower and the cracks propagated at a higher-speed.

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Rice, J. R. , and Sih, G. C. , 1965, “ Plane Problems of Cracks in Dissimilar Media,” ASME J. Appl. Mech., 32(2), pp. 418–423. [CrossRef]
Hutchinson, J. W. , and Suo, Z. , 1992, “ Mixed Mode Cracking in Layered Materials,” Advances in Applied Mechanics, Vol. 29, J. W. Hutchinson and T. Y. Wu , eds., Academic Press, San Diego, CA, pp. 63–190.
Xu, L. , and Tippur, H. V. , 1995, “ Fracture Parameters for Interfacial Cracks: An Experimental-Finite Element Study of Crack Tip Fields and Crack Initiation Toughness,” Int. J. Fract., 71(4), pp. 345–363. [CrossRef]
Banks-Sills, L. , 2015, “ Interface Fracture Mechanics: Theory and Experiment,” Int. J. Fract., 191(1), pp. 131–146. [CrossRef]
Desai, C. K. , Basu, S. , and Parameswaran, V. , 2012, “ Determination of Complex Stress Intensity Factor for a Crack in a Bimaterial Interface Using Digital Image Correlation,” Opt. Lasers Eng., 50(10), pp. 1423–1430. [CrossRef]
Li, X.-F. , Tang, G.-J. , Shen, Z.-B. , and Lee, K. Y. , 2015, “ Interface Crack Embedded in a Bi-Material Plane Under Shear and Compression,” Mech. Mater., 85, pp. 80–93. [CrossRef]
Tippur, H. V. , and Rosakis, A. J. , 1991, “ Quasi-Static and Dynamic Crack Growth Along Bimaterial Interfaces: A Note on Crack-Tip Field Measurements Using Coherent Gradient Sensing,” Exp. Mech., 31(3) pp. 243–251. [CrossRef]
Yang, W. , Suo, Z. , and Shih, C. F. , 1991, “ Mechanics of Dynamic Debonding,” Proc. R. Soc. London Ser. Math. Phys. Sci., 433(1889), pp. 679–697. [CrossRef]
Liu, C. , Lambros, J. , and Rosakis, A. J. , 1993, “ Highly Transient Elastodynamic Crack Growth in a Bimaterial Interface: Higher Order Asymptotic Analysis and Optical Experiments,” J. Mech. Phys. Solids, 41(12), pp. 1887–1954. [CrossRef]
Singh, R. P. , and Shukla, A. , 1996, “ Subsonic and Intersonic Crack Growth Along a Bimaterial Interface,” ASME J. Appl. Mech., 63(4), pp. 919–924. [CrossRef]
Singh, R. P. , Kavaturu, M. , and Shukla, A. , 1997, “ Initiation, Propagation and Arrest of an Interface Crack Subjected to Controlled Stress Wave Loading,” Int. J. Fract., 83(3), pp. 291–304. [CrossRef]
Shukla, A. , and Kavaturu, M. , 1998, “ Opening-Mode Dominated Crack Growth Along Inclined Interfaces: Experimental Observations,” Int. J. Solids. Struct., 35(30), pp. 3961–3975. [CrossRef]
Shukla, A. , 2001, “ High-Speed Fracture Studies on Bimaterial Interfaces Using Photoelasticity—A Review,” J. Strain Anal. Eng. Des., 36(2), pp. 119–142. [CrossRef]
Kitey, R. , and Tippur, H. V. , 2005, “ Dynamic Crack Growth in Particulate Bimaterials Having Discrete and Diffuse Interfaces: Role of Microstructure,” Eng. Fract. Mech., 72(18), pp. 2721–2743. [CrossRef]
Xia, K. , Rousseau, C. E. , and Rosakis, A. J. , 2008, “ Experimental Investigations of Spontaneous Bimaterial Interfacial Fractures,” J. Mech. Mater. Struct., 3(1), pp. 173–184. [CrossRef]
Erdogan, F. , and Biricikoglu, V. , 1973, “ Two Bonded Half Planes With a Crack Going Through the Interface,” Int. J. Eng. Sci., 11(7), pp. 745–766. [CrossRef]
Singh, R. P. , and Parameswaran, V. , 2003, “ An Experimental Investigation of Dynamic Crack Propagation in a Brittle Material Reinforced With a Ductile Layer,” Opt. Lasers Eng., 40(4), pp. 289–306. [CrossRef]
Parameswaran, V. , and Shukla, A. , 1998, “ Dynamic Fracture of a Functionally Gradient Material Having Discrete Property Variation,” J. Mater. Sci., 33(13), pp. 3303–3311. [CrossRef]
Guo, L.-C. , Wang, Z.-H. , and Zhang, L. , 2012, “ A Fracture Mechanics Problem of a Functionally Graded Layered Structure With an Arbitrarily Oriented Crack Crossing the Interface,” Mech. Mater., 46, pp. 69–82. [CrossRef]
Goutianos, S. , and Sørensen, B. F. , 2016, “ Fracture Resistance Enhancement of Layered Structures by Multiple Cracks,” Eng. Fract. Mech., 151, pp. 92–108. [CrossRef]
Noselli, G. , Deshpande, V. S. , and Fleck, N. A. , 2013, “ An Analysis of Competing Toughening Mechanisms in Layered and Particulate Solids,” Int. J. Fract., 183(2), pp. 241–258. [CrossRef]
Yin, H. M. , 2010, “ Fracture Saturation and Critical Thickness in Layered Materials,” Int. J. Solids. Struct., 47(7–8), pp. 1007–1015. [CrossRef]
Badaliance, R. , and Sih, G. C. , 1975, “ An Approximate Three-Dimensional Theory of Layered Plates Containing Through Thickness Cracks,” Eng. Fract. Mech., 7(1) pp. 1–22. [CrossRef]
Kidane, A. , and Shukla, A. , 2010, “ Quasi-Static and Dynamic Fracture Initiation Toughness of Ti/TiB Layered Functionally Graded Material Under Thermo-Mechanical Loading,” Eng. Fract. Mech., 77(3), pp. 479–491. [CrossRef]
Bankar, U. H. , and Parameswaran, V. , 2013, “ Fracture of Edge Cracked Layered Plates Subjected to In-Plane Bending,” Exp. Mech., 53(2), pp. 287–298. [CrossRef]
Agnihotri, S. K. , and Parameswaran, V. , 2016, “ Mixed-Mode Fracture of Layered Plates Subjected to In-Plane Bending,” Int. J. Fract., 197(1), pp. 63–79. [CrossRef]
Koohbor, B. , Kidane, A. , and Mallon, S. , 2014, “ Effect of Elastic Properties of Material Composition on the Fracture Response of Transversely Graded Ceramic/Metal Material,” Mater. Sci. Eng. A, 619, pp. 281–289. [CrossRef]
Faye, A. , Parameswaran, V. , and Basu, S. , 2016, “ Dynamic Fracture Initiation Toughness of PMMA: A Critical Evaluation,” Mech. Mater., 94, pp. 156–169. [CrossRef]
Khanna, S. K. , and Shukla, A. , 1995, “ On the Use of Strain Gages in Dynamic Fracture Mechanics,” Eng. Fract. Mech., 51(6), pp. 933–948. [CrossRef]
Dally, J. W. , and Riley, W. F. , 1978, Experimental Stress Analysis, McGraw-Hill, New York.
Kommana, R. , and Parameswaran, V. , 2009, “ Experimental and Numerical Investigation of a Cracked Transversely Graded Plate Subjected to in Plane Bending,” Int. J. Solids Struct., 46(11–12), pp. 2420–2428. [CrossRef]
Ravi-Chandar, K. , 2004, Dynamic Fracture, Elsevier, Amsterdam, The Netherlands.


Grahic Jump Location
Fig. 1

SEN specimen under three-point bending

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Fig. 3

Acute angle configuration

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Fig. 2

Modified Hopkinson bar setup used for dynamic loading

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Fig. 6

Strain histories in the epoxy and PMMA layers at two impact velocities

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Fig. 7

Crack-tip isochromatics in layered plates before crack initiation and during crack propagation: (a) E-P, impact velocity = 1.75 m/s,(b) E-P, impact velocity = 5.61 m/s, (c) P-E-P, impact velocity = 1.75 m/s, and (d) P-E-P, impact velocity = 5.61 m/s

Grahic Jump Location
Fig. 8

Crack growth and DSIF history in layered plates at two impact velocities: ((a) and (c)) 1.75 m/s; ((b) and (d)) 5.6 m/s

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Fig. 4

Isochromatics before crack initiation and during crack propagation in epoxy: (a) impact velocity = 1.75 m/s and (b) impact velocity = 5.61 m/s

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Fig. 5

Crack growth and DSIF history for epoxy impacted at two velocities: (a) 1.75 m/s and (b) 5.6 m/s

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Fig. 9

Stages of crack growth in E-P plate impacted at 1.75 m/s: (a) t = 0 μs, (b) t = 10 μs, (c) t = 80 μs, and (d) t = 110 μs



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