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Abstract

This chapter summarizes a singular approach for the homogenization of composite materials at micro scale level and more in particular for masonry (see López et al. (1999), Oller et. al. (2002), and its application to damage behavior (Quinteros et al.)). The procedure is different from the procedures of the classic method mentioned in the previous chapter. However, after several manipulations, it could be classified as an “average homogenization method”.

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Notes

  1. 1.

    López J., Oller S., Oñate E., Lubliner J. (1999). A Homogeneous Constitutive Model for Masonry. International Journal of Numerical Methods in Engineering. Vol. 46, No.10, pp. 1651–1671.

  2. 2.

    Oller S., Lubliner J., López J. (2002). The masonry-An homogenized composite. Chapter of book: Structural Analysis of Composite Materials (In Spanish), pp. 379, 410 - Ed. S. Oller. CIMNE, Barcelona.

  3. 3.

    Quinteros R., Oller S., Nallim L. (2011). Nonlinear homogenization techniques to solve masonry structures problems. Composite Structures. Vol. 94, pp.724–730.

  4. 4.

    Anthoine, A. (1997). Homogeneization of periodic masonry: plane stress, generalized plane strain or 3D modelling. Numerical Methods in Engineering, Vol. 13, 319–326.

  5. 5.

    López J., Oller S., Oñate E. (1998). Masonry behavior evaluation using finite elements. Monograph No. 46 CIMNE.

  6. 6.

    Page, A. W. (1973). Structural brickwork-A literature review. Engineering Bulletin No.CE4, Departament of Civil Engineering, Universidad de Newcastle, Australia.

  7. 7.

    Page, A. W. (1981). The Biaxial Compressive Strength of Brick Masonry. Proc. Instn. Civ.Engrs, 71, (2), 893–906.

  8. 8.

    Page, A. W. (1978). Finite element model for masonry. Journal of the Structural Division, ASCE, Vol. 104, No. ST8, Proc. Paper 13957, 1267–1285.

  9. 9.

    Oller, S. (2001). Fracture Mechanics – A global approach. CIMNE-Ed UPC.

  10. 10.

    Oller, S. (1991). Numerical Modelling of Frictional Materials. Monograph No. 3, Ed. CIMNE. Barcelona.

  11. 11.

    Note: The “implicit” formulation here refers to a formulation that is not expressly formulated but through another “explicitly” defined expression among which there is a biunivocal correspondence.

  12. 12.

    Oller, S., Botello, S., Miquel, J., Oñate, E. (1995).An isotropic elastoplastic model based on an isotropic formulation. Engineering Computations, Vol. 12, 245–262.

  13. 13.

    Oller s., Car E. and Lubliner J. (2003). Definition of a general implicit orthotropic yield criterion. Computer Methods in Applied Mechanics and Engineering. Vol. 192, No. 7–8, pp. 895–912.

  14. 14.

    Lubliner J. (1990). Plasticity Theory. Macmillan Publishing, U.S.A.

  15. 15.

    Lourenço, P. B. (1996). Computational Strategies for Masonry Structures, Doctoral Dissertation, Technological University of Delft. Delf University Press.

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© 2014 International Center for Numerical Methods in Engineering (CIMNE)

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Oller, S. (2014). Masonry-Homogenized Composite. In: Numerical Simulation of Mechanical Behavior of Composite Materials. Lecture Notes on Numerical Methods in Engineering and Sciences. Springer, Cham. https://doi.org/10.1007/978-3-319-04933-5_6

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  • DOI: https://doi.org/10.1007/978-3-319-04933-5_6

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-04932-8

  • Online ISBN: 978-3-319-04933-5

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