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Failure criterion for brick masonry: a micro-mechanics approach

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Języki publikacji
EN
Abstrakty
EN
The paper deals with the formulation of failure criterion for an in-plane loaded masonry. Using micro-mechanics approach the strength estimation for masonry microstructure with constituents obeying the Drucker–Prager criterion is determined numerically. The procedure invokes lower bound analysis: for assumed stress fields constructed within masonry periodic cell critical load is obtained as a solution of constrained optimization problem. The analysis is carried out for many different loading conditions at different orientations of bed joints. The performance of the approach is verified against solutions obtained for corresponding layered and block microstructures, which provides the upper and lower strength bounds for masonry microstructure, respectively. Subsequently, a phenomenological anisotropic strength criterion for masonry microstructure is proposed. The criterion has a form of conjunction of Jaeger critical plane condition and Tsai-Wu criterion. The model proposed is identified based on the fitting of numerical results obtained from the microstructural analysis. Identified criterion is then verified against results obtained for different loading orientations. It appears that strength of masonry microstructure can be satisfactorily described by the criterion proposed.
Wydawca
Rocznik
Strony
37--48
Opis fizyczny
Bibliogr. 11 poz., tab., rys.
Twórcy
autor
  • Wrocław University of Technology, Faculty of Civil Engineering, Wrocław, Poland,
Bibliografia
  • [1] ANTHOINE A., Derivation of in-plane elastic characteristics of masonry through homogenization theory, International Journal of Solids and Structures, 1995, 32(2), 137–163, DOI: 10.1016/0020-7683(94)00140-R.
  • [2] DE BUHAN P., DE FELICE G., Homogenization approach to the ultimate strength of brick masonry, Journal of the Mechanics and Physics of Solids, 1997, 45(7), 1085–1104, DOI: 10.1016/S0022-5096(97)00002-1.
  • [3] DE FELICE G., AMOROSI A., MALENA M., Elasto-plastic analysis of block structures through a homogenization method, International Journal of Analytical and Numerical Methods in Geomechanics, 2010, 34(3), 221–247, DOI: 10.1002/nag.799.
  • [4] JAEGER J.C., Shear failure of anisotropic rocks, Geological Magazine, 1960, 97(1), 65–72.
  • [5] KAWA M., PIETRUSZCZAK S., SHIEH-BEYGI B., Limit states for brick masonry based on homogenization approach, International Journal of Solids and Structures, 2008, 45 (3–4), 998–1016, DOI: 10.1016/ j.ijsolstr.2007.09.015.
  • [6] MILANI G., LOURENCO P.B., TRALLI A., Homogenised limit analysis of masonry walls, part I: failure surfaces; part II: structural examples, Computers and Structures, 2006, 84 (3–4), 166–195, DOI: 10.1016/j.compstruc.2005.09.005, 10.1016/ j.compstruc.2005.09.004.
  • [7] LYDZBA D., KAWA M., Failure mechanism of sedimentary rocks: micromechnics approach, In 2nd International Symposium On Computational Geomechanics (COMGEO II), Cavtat–Dubrovnik, 27–29 April, 2011, Rhodes, Greece: IC2E International Centre for Computational Engineering.
  • [8] PAGE A.W., The biaxial compressive strength of brick masonry, ICE Proceedings, 1981, 71(2), 893–906, DOI: 10.1680/iicep.1981.1825
  • [9] SHIEH-BEYGI B., PIETRUSZCZAK S., Numerical analysis of structural masonry: mesoscale approach, Computers & Structures, 2008, 86, 21–22, 1958–1973, DOI: 10.1016/j.compstruc.2008.05.007
  • [10] SUQUET P., Elements of homogenisation for inelastic solid mechanics, In Homogenization Techniques for Composite Media, Lecture Notes in Physic, 1987, 272, 193–278, DOI: 10.1007/3-540-17616-0_15
  • [11] TSAI S.W., WU E.M., A general theory of strength for anisotropic materials, Journal of Composite Materials, 1971, 5(1), 58–80, DOI: 10.1177/002199837100500106
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-98f664ac-7de1-4e5f-a08a-3f113dd8f5b6
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