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Analysis of Masonry Structures Subject to Variable Loads: A Numerical Approach Based on Damage Mechanics

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Part of the book series: Solid Mechanics and Its Applications ((SMIA,volume 83))

Abstract

An elastic-plastic model that takes into account damage effects is developed and applied to masonry structures. Masonry is described as an orthotropic material and inelastic strains are governed by an associated flow rule based upon a piecewise-linear yield surface. They are split into a non-reversible (plastic) part and a recoverable part. Reversible strains are related to damage, whose effects are quantified by updating the material stiffness matrix. The model has been checked by comparing numerical results and test data concerned with masonry walls (with and without openings) subjected to plane stress states.

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References

  1. Callerio, A. (1998) Comportamento sismico delle murature negli edifici monumentali: un metodo di analisi basato sulla meccanica del danneggiamento, PhD. Thesis, Dep. of Structural Engineering, Politecnico of Milan, Italy, (in Italian)

    Google Scholar 

  2. Callerio, A. and Papa, E., (1997) An elastic-plastic model with damage for cyclic analysis of masonry panels, in Proceedings of 4th Int. Symposium on Computer Methods in Structural Masonry, Florence, Italy, (in press)

    Google Scholar 

  3. Calvi, G.M. and Magenes, G. (1994) Experimental research on response of URM building system, in D.P. Abrams et al. (eds.), Guidelines for Seismic Evaluation and Rehabilitation of Unreinforced Masonry Buildings, State University of New York at Buffalo, pp. 3/41–57

    Google Scholar 

  4. Chen, W.F. (1982) Plasticity in reinforced concrete, McGraw-Hill

    Google Scholar 

  5. Dhanasekar, M., Page, A.W. and Kleeman, P.W. (1985) The failure of brick masonry under biaxial stresses, Proc. Inst. Civ. Engrs. 79, pp. 295–313

    Article  Google Scholar 

  6. Gambarotta, L. and Lagomarsino, S. (1997) Damage models for the seismic response of brick masonry shear walls. Part 1: the mortar joint model and its applications, Earth. Eng. and Struct. Dynamics 26, 423–439

    Article  Google Scholar 

  7. Gambarotta, L. and Lagomarsino, S. (1997) Damage models for the seismic response of brick masonry shear walls. Part II: the continuum model and its applications, Earth. Eng. and Struct. Dynamics 26, pp. 441–462

    Article  Google Scholar 

  8. Ganju, T.N. (1977) Non-linear finite element analysis of clay brick masonry, in Proceedings of 6th Australian Conf. on the Mechanics of Structures and Materials, Univ. of Canterbury, pp. 59–65

    Google Scholar 

  9. Lotfi, H.R. and Shing, P.B. (1994) Interface model applied to fracture of masonry structures, J. Struct. Engrg. ASCE 120, 63–80

    Article  Google Scholar 

  10. Lourenço, P.B. (1996) Computational strategies for masonry structures, PhD. Thesis, Delft Univ. of Technology

    Google Scholar 

  11. Lourenço, P.B., Rots, J.G. and Blaauwendraad, J. (1994) Implementation of an interface cap model for the analysis of masonry structures, in H. Mang, N. Bicanic and R. de Borst (eds.), Computational Modelling of Concrete Structures, Pineridge Press, Swansea, pp. 123–134

    Google Scholar 

  12. Magenes, G. (1992) Comportamento sismico di murature di mattoni: resistenza e meccanismi di rottura di maschi murari, Ph.D. Thesis, Dept. of Structural Mechanics, Univ. of Pavia, (in Italian)

    Google Scholar 

  13. Maier, G. (1970) A matrix structural theory of piecewise linear elastoplasticity with interacting yield planes, Meccanica 5, 54–66

    Article  MATH  Google Scholar 

  14. Maier, G. and Nappi, A. (1990) A theory of perfectly no-tension discretized structural system, Eng. Struct. 12, 229–233

    Article  Google Scholar 

  15. Maier, G., Papa, E. and Nappi, A. (1991) On damage and failure of brick masonry, in Experimental and Numerical Methods in Earthquake Engineering, Kluwer, Dordrecht, pp. 223–245

    Google Scholar 

  16. Mangasarian, O.L. (1977) Solutions of symmetric linear complementarity problems by iterative methods, J. of Optimisation Theory & Appl. 22, 465–485

    Article  MathSciNet  MATH  Google Scholar 

  17. Middleton, J., Pande, G.N., Liang, J.X. and Kralj, B. (1991) Some recent advances in computer methods in structural masonry, in J. Middleton and G.N. Pande (eds.), Computer Methods in Structural Masonry, Books and Journals International, Swansea, U.K., pp. 1–21

    Google Scholar 

  18. Nappi, A., Facchin, G. and Marcuzzi, C. (to appear) Structural dynamics: convergence properties in the presence of damage and applications to masonry structure, Struct. Eng. & Mech.

    Google Scholar 

  19. Ortiz, M. (1985) A constitutive theory for the inelastic behaviour of concrete, J. Mech. Mat. 4, 67–93

    Article  Google Scholar 

  20. Page, A.W., Kleeman, P.W. and Dhanasekar, M. (1985) An in-plane finite element model for brick masonry, in S.C. Anand (ed.), New Analysis Techniques for Structural Masonry, ASCE Press, New York, pp. 1–18

    Google Scholar 

  21. Pande, G.N., Liang, J.X. and Middleton, J. (1989) Equivalent elastic moduli for brick masonry, Computer & Geotechnics 8, 243–265

    Article  Google Scholar 

  22. Pietruszczak, S. and Niu, X. (1992) A mathematical description of macroscopic behaviour of brick masonry, Int. J. of Solids & Struct. 29, 531–546

    Article  MATH  Google Scholar 

  23. Samarashinghe, W., Page, A.W. and Hendry, A.W. (1982) A finite element model for the in-plane behaviour of brickwork, Proceedings of Inst, of Civ. Engrs 72, 171–178

    Google Scholar 

  24. Shing, P.B., Klamerus, E., Spaeh, H. and Noland, J.L. (1988) Seismic performance of reinforced masonry shear walls, in Proceedings of 9th World Conf on Earthquake Engineering, Japan, pp. 103–108

    Google Scholar 

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© 2000 Kluwer Academic Publishers

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Callerio, A., Papa, E., Nappi, A. (2000). Analysis of Masonry Structures Subject to Variable Loads: A Numerical Approach Based on Damage Mechanics. In: Weichert, D., Maier, G. (eds) Inelastic Analysis of Structures under Variable Loads. Solid Mechanics and Its Applications, vol 83. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-9421-4_8

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  • DOI: https://doi.org/10.1007/978-94-010-9421-4_8

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-1-4020-0382-0

  • Online ISBN: 978-94-010-9421-4

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