The effect of the size of hybrid metal-composite joint on its nominal strength, experimentally demonstrated in the preceding paper (part I), is modeled mathematically. Fracture initiation from a reentrant corner at the interface of a metallic bar and a fiber composite laminate sheet is analyzed. The fracture process zone (or cohesive zone) at the corner is approximated as an equivalent sharp crack according to the linear elastic fracture mechanics (LEFM). The asymptotic singular stress and displacement fields surrounding the corner tip and the tip of an interface crack emanating from the corner tip are calculated by means of complex potentials. The singularity exponents of both fields are generally complex. Since the real part of the stress singularity exponent for the corner tip is not , as required for finiteness of the energy flux into the tip, the interface crack propagation criterion is based on the singular field of the interface crack considered to be embedded in a more remote singular near-tip field of the corner from which, in turn, the boundaries are remote. The large-size asymptotic size effect on the nominal strength of the hybrid joint is derived from the LEFM considering the interface crack length to be much smaller than the structure size. The deviation from LEFM due to finiteness of the interface crack length, along with the small-size asymptotic condition of quasiplastic strength, allows an approximate general size effect law for hybrid joints to be derived via asymptotic matching. This law fits closely the experimental results reported in the preceding paper. Numerical validation according to the cohesive crack model is relegated to a forthcoming paper.
Skip Nav Destination
e-mail: jialiang-le@northwestern.edu
e-mail: z-bazant@northwestern.edu
e-mail: qiangyu@northwestern.edu
Article navigation
January 2010
Research Papers
Scaling of Strength of Metal-Composite Joints—Part II: Interface Fracture Analysis
Jia-Liang Le,
Jia-Liang Le
Graduate Research Assistant
Department of Civil and Environmental Engineering,
e-mail: jialiang-le@northwestern.edu
Northwestern University
, 2145 Sheridan Road, Evanston, IL 60208
Search for other works by this author on:
Zdeněk P. Bažant,
Zdeněk P. Bažant
McCormick Institute Professor and W. P. Murphy Professor
Departments of Civil Engineering and Materials Science,
e-mail: z-bazant@northwestern.edu
Northwestern University
, 2145 Sheridan Road, CEE/A135, Evanston, IL 60208
Search for other works by this author on:
Qiang Yu
Qiang Yu
Postdoctoral Researcher
Department of Civil and Environmental Engineering,
e-mail: qiangyu@northwestern.edu
Northwestern University
, 2145 Sheridan Road, Evanston, IL 60208
Search for other works by this author on:
Jia-Liang Le
Graduate Research Assistant
Department of Civil and Environmental Engineering,
Northwestern University
, 2145 Sheridan Road, Evanston, IL 60208e-mail: jialiang-le@northwestern.edu
Zdeněk P. Bažant
McCormick Institute Professor and W. P. Murphy Professor
Departments of Civil Engineering and Materials Science,
Northwestern University
, 2145 Sheridan Road, CEE/A135, Evanston, IL 60208e-mail: z-bazant@northwestern.edu
Qiang Yu
Postdoctoral Researcher
Department of Civil and Environmental Engineering,
Northwestern University
, 2145 Sheridan Road, Evanston, IL 60208e-mail: qiangyu@northwestern.edu
J. Appl. Mech. Jan 2010, 77(1): 011012 (7 pages)
Published Online: October 1, 2009
Article history
Received:
October 29, 2008
Revised:
April 13, 2009
Published:
October 1, 2009
Connected Content
A companion article has been published:
Scaling of Strength of Metal-Composite Joints—Part I: Experimental Investigation
Citation
Le, J., Bažant, Z. P., and Yu, Q. (October 1, 2009). "Scaling of Strength of Metal-Composite Joints—Part II: Interface Fracture Analysis." ASME. J. Appl. Mech. January 2010; 77(1): 011012. https://doi.org/10.1115/1.3172152
Download citation file:
Get Email Alerts
Hamiltonian System-Based Symplectic Framework for Analytical Vibration Analysis of Microplates
J. Appl. Mech (December 2024)
Related Articles
Scaling of Strength of Metal-Composite Joints—Part I: Experimental Investigation
J. Appl. Mech (January,2010)
Scaling of Strength of Metal-Composite Joints—Part III: Numerical Simulation
J. Appl. Mech (September,2013)
Scaling of Sea Ice Fracture—Part I: Vertical Penetration
J. Appl. Mech (January,2002)
Boundary-Layer Effects in Composite Laminates: Part 2—Free-Edge Stress Solutions and Basic Characteristics
J. Appl. Mech (September,1982)
Related Proceedings Papers
Related Chapters
Introductory Information
The Stress Analysis of Cracks Handbook, Third Edition
Applications of Elastic-Plastic Fracture Mechanics in Section XI, ASME Code Evaluations
Online Companion Guide to the ASME Boiler & Pressure Vessel Codes
Radial Delayed Hydride Cracking in Irradiated Zircaloy-2 Cladding: Advanced Characterization Techniques
Zirconium in the Nuclear Industry: 20th International Symposium