Technical Briefs

Scaling of Strength of Metal-Composite Joints—Part III: Numerical Simulation

[+] Author and Article Information
Qiang Yu

Assistant Professor
Department of Civil and Environmental Engineering,
University of Pittsburgh,
Pittsburgh, PA 15261
e-mail: qiy15@pitt.edu

Zdeněk P. Bažant

McCormick Institute Professor,
W. P. Murphy Professor of Civil and Mechanical
Engineering and of Materials Science
Honorary Member ASME
Northwestern University,
2145 Sheridan Road,
CEE, Evanston, IL 60208
e-mail: zbazant@northwestern.edu

Jia-Liang Le

Assistant Professor
Department of Civil Engineering,
University of Minnesota,
Minnesota, MN 55455
e-mail: jle@umn.edu

1Corresponding author.

Manuscript received October 14, 2012; final manuscript received December 7, 2012; accepted manuscript posted February 12, 2013; published online July 18, 2013. Editor: Yonggang Huang.

J. Appl. Mech 80(5), 054503 (Jul 18, 2013) (4 pages) Paper No: JAM-12-1476; doi: 10.1115/1.4023643 History: Received October 14, 2012; Revised December 07, 2012; Accepted February 12, 2013

The size effect in the failure of a hybrid adhesive joint of a metal with a fiber-polymer composite, which has been experimentally demonstrated and analytically formulated in preceding two papers, is here investigated numerically. Cohesive finite elements with a mixed-mode fracture criterion are adopted to model the adhesive layer in the metal-composite interface. A linear traction-separation softening law is assumed to describe the damage evolution at debonding in the adhesive layer. The results of simulations agree with the previously measured load-displacement curves of geometrically similar hybrid joints of various sizes, with the size ratio of 1:4:12. The effective size of the fracture process zone is identified from the numerically simulated cohesive stress profile at the peak load. The fracture energy previously identified analytically by fitting the experimentally observed size effect curves agrees well with the fracture energy of the cohesive crack model obtained numerically by optimal fitting of the test data.

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Yu, Q., Bažant, Z. P., Bayldon, J. M., Le, J.-L., Caner, F. C., Ng, W. H., Waas, A. M., and Daniel, I. M., 2010, “Scaling of Strength of Metal-Composite Joints—Part I: Experimental Investigation,” ASME J. Appl. Mech., 77, 011011. [CrossRef]
Le, J.-L., Bažant, Z. P., and Yu, Q., 2010, “Scaling of Strength of Metal-Composite Joints—Part II: Interface Fracture Analysis,” ASME J. Appl. Mech., 77, 011012. [CrossRef]
Le, J.-L., 2011, “General Size Effect on Strength of Bimaterial Quasi-Brittle Structures,” Int. J. Fract., 172, pp. 151–160. [CrossRef]
Bažant, Z. P., 1984, “Size Effect in Blunt Fracture: Concrete, Rock, Metal,” ASCE J. Eng. Mech., 110(4), pp. 518–535. [CrossRef]
Bažant, Z. P., and Planas, J., 1998, Fracture and Size Effect in Concrete and Other Quasibrittle Materials, CRC Press, Boca Raton, FL.
Bažant, Z. P., 2004, “Scaling Theory of Quasi-Brittle Structural Failure,” Proc. Nat. Acad. Sci., USA, 101(37), pp. 13397–13399. [CrossRef]
Bažant, Z. P., 2005, Scaling of Structural Strength, 2nd ed., Elsevier, London.
Labossiere, P. E. W., Duun, M. L., and Cunningham, S. J., 2002, “Application of Bimaterial Interface Corner Failure Mechanics to Silicon/Glass Anodic Bonds,” J. Mech. Phys. Solids, 50, pp. 405–433. [CrossRef]
Abaqus Inc., 2011, Abaqus 6.11 documentation, Simulia, Providence, RI.
Park, K., Paulino, G. H., and Roesler, J. R., 2009, “A Unified Potential-Based Cohesive Crack Model for Mixed-Mode Fracture,” J. Mech. Phys. Solids, 57(6), pp. 891–908. [CrossRef]
Freed, Y., and Banks-Sills, L., 2008, “A New Cohesive Zone Model for Mixed Mode Interface Fracture in Bimaterials,” Eng. Fract. Mech., 75, pp. 4583–4593. [CrossRef]
Camanho, P. P., and Davila, C. G., 2002, “Mixed-Mode Decohesion Finite Elements for the Simulation of Delamination in Composite Materials,” NASA Report No. NASA/TM-2002-211737, pp. 1–37.
Liu, D., and Fleck, N. A., 1999, “Scale Effect in the Initiation of Cracking of a Scarf Joint,” Int. J. Fract., 95, pp. 66–88. [CrossRef]
Grenestedt, J. L., and Hallstrom, S., 1997, “Crack Initiation from Homogeneous and Bimaterial Corners,” J. Appl. Mech., 64, pp. 811–818. [CrossRef]


Grahic Jump Location
Fig. 1

Geometry of double-lap hybrid joint

Grahic Jump Location
Fig. 2

Size effect exhibited in the test series 2 at Northwestern University

Grahic Jump Location
Fig. 3

Models of Northwestern tests created in Abaqus and the shear stress profile along the interfaces

Grahic Jump Location
Fig. 4

Curves of load versus relative displacement (measured by LVDTs mounted on the specimens), compared with the present simulations




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