Skip to main content
SpringerLink
Log in

Non-linear least-squares solution to the moiré hole method problem in orthotropic materials. Part II: Material elastic constants

  • Published:
Experimental Mechanics Aims and scope Submit manuscript

Abstract

This is the second of two papers dealing with inverse problems arising from the hole method problem in orthotropic materials. Two inverse problems are of interest in this second paper: one relates to the use of the hole method as a means of separation of stresses; the other deals with using it for orthotropic material elastic constant identification. The problem of separation of stresses is posed and briefly discussed, but the orthotropic material identification problem is addressed, fully showing how to obtain the five orthotropic elastic constants, four of which are independent, when knowing the applied stresses and examining the isothetics or moiré fringes around a through hole in a biaxially loaded thin wood plate.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Cárdenas-García, J.F., Ekwaro-Osire, S., Berg, J.M. and Wilson, W.H., “Non-linear Least-squares Solution to the Moiré Hole Method Problem in Orthotropic Materials, Part 1: Residual Siresses,” EXPERIMENTAL MECHANICS45 (4), (2004) (Paper 1).

  2. Shareef, S., andSchmitt, D.R., “Point Load Determination of Static Elastic Moduli Using Laser Speckle Interferometry,”Optics and Lasers in Engineering,42(5),511–527 (2004).

    Article  Google Scholar 

  3. Schajer, G.S., andYang, L., “Residual-stress Measurement in Orthotropic Materials Using the Hole-drilling Method,” EXPERIMENTAL MECHANICS 34(4),324–333 (1994).

    Article  Google Scholar 

  4. Savin, G.N., Stress Concentration Around Holes, W. Johnson, editor, Pergamon, New York (1961).

    Google Scholar 

  5. Molimard, J., Riche, R.L., Vautrin, A., and Lee, J.R., “Identification of Orthotropic Plate In-plane Elastic Stiffness Using Open Hole Tensile Test,” Proceedings of the 2004 SEM X International Congress and Exposition on Experimental and Applied Mechanics, Society for Experimental Mechanics, Costa Mesa, CA, June 7–10 (2004).

Download references

Author information

Authors and Affiliations

  1. Department of Mechanical Engineering, University of Maryland, 20742, College Park, Maryland, USA

    J. F. Cárdenas-García (Research Professor)

  2. Department of Mechanical Engineering, Texas Tech University, 79409, Lubbock, Texas, USA

    S. Ekwaro-Osire (Associate Professor) & J. M. Berg (Associate Professor)

  3. Indian Head Division, NSWC, Research and Technology Department, 20640-5053, Indian Head, MD, USA

    W. H. Wilson (Physicisi)

Authors
  1. J. F. Cárdenas-García
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. S. Ekwaro-Osire
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. J. M. Berg
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. W. H. Wilson
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Cárdenas-García, J.F., Ekwaro-Osire, S., Berg, J.M. et al. Non-linear least-squares solution to the moiré hole method problem in orthotropic materials. Part II: Material elastic constants. Experimental Mechanics 45, 314–324 (2005). https://doi.org/10.1007/BF02428161

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02428161

Key Words

Search

Navigation