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Green’s Function Method for Calculation of Stress Fields in Composite Materials

  • V. K. Tewary
  • R. D. Kriz
Conference paper
Part of the IUTAM Symposia book series (IUTAM)

Summary

A Green’s function method is described for calculating the displacement and the stress fields in an elastic composite solid. The Green’s function is obtained by solving the equations of elastic equilibrium (Christoffel’s equation) for a delta function force with prescribed boundary conditions. The Green’s function then gives the solution of the Christoffel’s equation for any integrable force distribution. The solution gives the displacement field from which the stress field is calculated- The discontinuities or defects in the solid are represented by appropriate boundary conditions. The method is illustrated by applying it to a composite solid containing a plane interface and a (45/-45) fiber-reinforced composite having a free surface normal to the interface.

Keywords

Displacement Field Representative Volume Element Concentric Cylinder Continuum Damage Mechanic Imperfect Interface 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References and Footnotes

  1. 1.
    Tewary., V.K.; Wagoner, R.H.; Hirth, J.P.: J. Materials Research; 4, 113 (1989).CrossRefGoogle Scholar
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    Stroh, A.N.: J. Math. Phys.; 41, 77 (1962).MATHMathSciNetGoogle Scholar
  3. 3.
    Tewary, y.K.; Kriz, R.D.:“Effect of a Free Surface on Stress Distribution in a Bimaterial Composite”, N.I.S.T. (U.S. Department of Commerce) Tech. Rep. SP 802 (1991).Google Scholar
  4. 4.
    Kriz, R.D.: “Effect of Material Properties on Interlaminar Stresses in Angle-Ply Composite Laminates” (Report No. VPI-77-16, Virginia Tech., Blacksburg, VA (1977).Google Scholar
  5. 5.
    Zwiers, R.I.; Ting, T.C.T.; Spilker, R.L.: J. Appl. Mechanics; 49, 561 (1982).Google Scholar
  6. 6.
    Stolarski, H.K.; Chiang, M.Y.M.: Int. J. Solids Structures; 25, 75 (1989).CrossRefMATHGoogle Scholar

Copyright information

© Springer-Verlag, Berlin Heidelberg 1992

Authors and Affiliations

  • V. K. Tewary
    • 1
  • R. D. Kriz
    • 2
  1. 1.Materials Reliability DivisionNational Institute of Standards and TechnologyBoulderUSA
  2. 2.Department of Engineering Science and MechanicsVirginia Polytechnic Institute and State UniversityBlacksburgUSA

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