An experimental technique for evaluation of the M-integral in an elastic-plastic material containing multiple defects is proposed by using digital image correlation (DIC). This technique makes direct use of the definition of M by experimentally evaluating the integrand of M at various points along a square contour and determining the integral by numerical integration. The nonlinear Ramberg–Osgood model is used to capture the elastic-plastic behavior such as the elastic-plastic stress and the total strain energy density in terms of the measured displacements by DIC used in an ARAMIS 4M instrument. Compared with the previous experimental method proposed by King and Herrmann (King and Herrmann, 1981, “Nondestructive Evaluation of the J and M Integrals,” ASME J. Appl. Mech., 48, pp. 83–87), the present technique could be suitable to measure the M-integral for the various complicated damages, specimen geometries, loading conditions, and material behaviors. The path-independence or path-dependence of the M-integral is investigated under small-scale and large-scale yielding conditions, respectively. It is found that the values of M are path independent when the contours entirely enclose the nonlinear plastic region near the multiple defects. In contrast, the path-dependence is concluded for an elastic-plastic solid under large-scale yielding condition when the contours have to pass through the plastic zone. This interesting path-dependence of the M-integral is consistent with numerical prediction via the finite element method and theoretical analysis developed in this paper.
Skip Nav Destination
Close
Sign In or Register for Account
Article navigation
January 2013
Research-Article
Experimental Evaluation of the M-Integral in an Elastic-Plastic Material Containing Multiple Defects
Q. Li,
Q. Li
1
e-mail: qunli@mail.xjtu.edu.cn
1Corresponding author.
Search for other works by this author on:
Y. H. Chen
Y. H. Chen
State Key Laboratory for Mechanical Structural
Strength and Vibration
School of Aerospace
Xi'an Jiaotong University
710049
, P.R. China
Search for other works by this author on:
Q. Li
e-mail: qunli@mail.xjtu.edu.cn
Y. H. Chen
State Key Laboratory for Mechanical Structural
Strength and Vibration
School of Aerospace
Xi'an Jiaotong University
710049
, P.R. China
1Corresponding author.
Manuscript received November 22, 2011; final manuscript received June 16, 2012; accepted manuscript posted July 6, 2012; published online November 19, 2012. Assoc. Editor: John Lambros.
J. Appl. Mech. Jan 2013, 80(1): 011021 (8 pages)
Published Online: November 19, 2012
Article history
Received:
November 22, 2011
Revision Received:
June 16, 2012
Accepted:
July 6, 2012
Citation
Yu, N. Y., Li, Q., and Chen, Y. H. (November 19, 2012). "Experimental Evaluation of the M-Integral in an Elastic-Plastic Material Containing Multiple Defects." ASME. J. Appl. Mech. January 2013; 80(1): 011021. https://doi.org/10.1115/1.4007083
Download citation file:
- Ris (Zotero)
- Reference Manager
- EasyBib
- Bookends
- Mendeley
- Papers
- EndNote
- RefWorks
- BibTex
- ProCite
- Medlars
Close
Sign In
Get Email Alerts
Cited By
Related Articles
Third-Order Polynomials Model for Analyzing Multilayer Hard/Soft Materials in Flexible Electronics
J. Appl. Mech (August,2016)
Determination of Convective Heat Flux on Steady-State Heat Transfer Surfaces With Arbitrarily Specified Boundaries
J. Heat Transfer (November,1996)
Measurements of Velocity, Velocity Fluctuation, Density, and Stresses in Chute Flows of Granular Materials
J. Appl. Mech (September,1991)
Harmonic Convergence Estimation Through Strain Energy Superconvergence
J. Eng. Gas Turbines Power (October,2016)
Related Proceedings Papers
Related Chapters
Smart Semi-Active Control of Floor-Isolated Structures
Intelligent Engineering Systems Through Artificial Neural Networks, Volume 17
Numerical Simulation of Spatial Synergic Interaction in the Double-Row Anti-Sliding Piles
Geological Engineering: Proceedings of the 1 st International Conference (ICGE 2007)
A New Type Power Converter and Its Applications Prospect in Industry
International Conference on Advanced Computer Theory and Engineering, 5th (ICACTE 2012)