Explicit Margin of Safety Assessment of Composite Structure

  • J. H. GosseEmail author
  • E. J. Sharp
Part of the Lecture Notes in Computational Science and Engineering book series (LNCSE, volume 129)


In this paper, we discuss the assessment of the margins of safety (MOS) for engineered structures (buildings, bridges, machines and aircraft). With respect to metallic structures the MOS are primarily a function of the observed yield stress of the metal (critical property of the constitutive material). With continuous fiber reinforced polymer composites (composites in this paper) such a crisp measurement of the “yield stress” is not available. The result has been an empirical test-intensive building block approach to the assessment of the MOS for composite structure. However, the capability to use the critical properties of the constitutive materials of the composite system to evaluate the MOS of the composite structure is now possible (explicit MOS assessment). Such an approach will lead to significant reductions in cost and time-to-design as well as a practical means towards expanding the design space. The measurement of the critical measures, de-homogenization of homogenous strain states and classical convergence of the numerical solutions involved are discussed in detail. Finally, integrating generalized finite elements into the analysis process will allow for rapid and efficient assessment of the MOS for global structures.


  1. 1.
    D.J. Peery, J.J. Azar, Aircraft Structures (1982). ISBN: 0-07-049196-8Google Scholar
  2. 2.
    American Institute of Steel Construction (AISC), Manual of Steel Construction, 8th edn. (American Institute of Steel Construction, Chicago, 1980)Google Scholar
  3. 3.
    R.G. Budynas, J.K. Nisbett, Mechanical Engineering Design, 10th edn. (2015). ISBN-13: 978-0-07-339820-9Google Scholar
  4. 4.
    W.F. Chen, D.J. Han, Plasticity for Structural Engineers (1988). ISBN: 0-387-96711-7CrossRefGoogle Scholar
  5. 5.
    A.A. Shabana, Computational Continuum Mechanics (2008). ISBN: 978-0-521-88569-0Google Scholar
  6. 6.
    Y.-L. Shen, Constrained Deformation of Materials (2010). ISBN: 978-1-4419-6311-6Google Scholar
  7. 7.
    A. Ritchey, J. Dustin, J. Gosse, R.B. Pipes, Advances in Composites—Ecodesign and Analysis (Intech, 2011). ISBN: 978-953-3017-150-3Google Scholar
  8. 8.
    R.J. Jones, Mechanics of Composite Materials (1975). ISBN: 0-89116-490-1Google Scholar
  9. 9.
    N.J. Pagano, R.B. Pipes, Some observations on the interlaminar strength of composite laminates, in Mechanics of Composite Materials, Selected Works of Nicholas J. Pagano, ed. by J.N. Reddy (Springer, Berlin, 1972). ISBN: 0-7923-3041-2Google Scholar
  10. 10.
    D.S. Burnett, Finite Element Analysis, from Concepts to Applications (Addison-Wesley, Reading, 1987). ISBN: 0-201-10806-2zbMATHGoogle Scholar
  11. 11.
    F. Morgan, Real Analysis (American Mathematical Society, Providence, 2005). ISBN: 0-8218-3670-6zbMATHGoogle Scholar
  12. 12.
    M.A. Schweitzer, Multilevel partition of unity method for elliptic problems with strongly discontinuous coefficients, in Meshfree Methods for Partial Differential Equations VI, ed. by M. Griebel, M.A. Schweitzer (Springer, Berlin, 2013). ISBN: 978-3-642-32978-4zbMATHGoogle Scholar

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Authors and Affiliations

  1. 1.MSC SoftwareBellevueUSA

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