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Measurement of the M-integral for a Hole in an Aluminum Plate or Strip

Abstract

A method using Digital Image Correlation (DIC) is proposed to measure the M-integral in an elastic rectangular plate and elastic–plastic strip made of LY12 Aluminum where a hole is located at center as a defect. The path-independence property of the M-integral is verified by selecting a few of closed contours to evaluate the M-integral. It is found that the measured values of the M-integral are path-independent when the closed contours are far from the nonlinear plastic zone. In contrast, large deviations occur in determining the M-integral among different integral contours when the contours pass through the plastic zone. The present study demonstrates that DIC method used by the ARAMIS 4 M instrument and the proposed smoothing technique for evaluating the measured displacements do provide the effective tools to measure the M-integral in describing the local damage of elastic and elastic–plastic materials. This technique could be extended to measure the M-integral for other complicated damage, e.g., multiple defects with different shapes in a local region.

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Acknowledgement

This work was supported by the NFSC with grant No. 10932007 and No.11021202

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Correspondence to Y. H. Chen.

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Yu, N.Y., Li, Q. & Chen, Y.H. Measurement of the M-integral for a Hole in an Aluminum Plate or Strip. Exp Mech 52, 855–863 (2012). https://doi.org/10.1007/s11340-011-9588-7

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Keywords

  • M-integral
  • Experimental measurement
  • Digital image correlation
  • Finite element method