Experimental study of the deformation near a notch tip in copper and copper-beryllium single crystals

W. C. Crone, T. W. Shield

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Abstract

The plastic deformation around a notch tip within ductile single crystal material was investigated experimentally. Moiré microscopy was used to measure the strain field on the surface of bending samples of Orientation II with a notch on the (010) plane and its tip along the [1̄01] direction. The results of tests conducted on copper and copper-beryllium single crystals are compared to analytical solutions, numerical calculations, and prior experiments on samples of Orientation I with a notch on the (101) plane and its tip along the [101̄] direction. Distinct sectors with sharp sector boundaries are observed in experiments as were predicted analytically by Rice (Mech. Mater. 6 (1987) 301). However, Rice predicted that both Orientations I and II would give rise to the same sectors. It is found that experimental results for these two orientations differ and neither set of results agree with the analytical solution. In both orientations, the sector boundaries do not exclusively correspond to angles at which slip and kink can occur in these crystallographic orientations. The experiments also lead to the conclusion that some sectors in the deformation field remain elastic even after large amounts of deformation have occurred elsewhere. Based on the optical observations and strain measurements, a stress field is presented for Orientation II.

Original languageEnglish (US)
Pages (from-to)2819-2838
Number of pages20
JournalJournal of the Mechanics and Physics of Solids
Volume49
Issue number12
DOIs
StatePublished - Dec 2001

Bibliographical note

Funding Information:
The authors acknowledge the support of the National Science Foundation (grant number MSS-9257945-2). WCC also gratefully acknowledges the support of a Dissertation Fellowship from the American Association of University Women and an Amelia Earhart Fellowship from Zonta International. Portions of this research were conducted in the University of Minnesota Center for Interfacial Engineering, University of Minnesota Microtechnology Laboratory, and the crystal growth facility of Prof. R.D. James.

Copyright:
Copyright 2007 Elsevier B.V., All rights reserved.

Keywords

  • A. Crack tip plasticity
  • B. Anisotropic material
  • B. Crystal plasticity
  • C. Mechanical testing
  • C. Optical interferometry

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