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Computational Mechanics
Erschienen in: Computational Mechanics 2/2016

01.02.2016 | Original Paper

Regularization of first order computational homogenization for multiscale analysis of masonry structures

verfasst von: Massimo Petracca, Luca Pelà, Riccardo Rossi, Sergio Oller, Guido Camata, Enrico Spacone

Erschienen in: Computational Mechanics | Ausgabe 2/2016

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Abstract

This paper investigates the possibility of using classical first order computational homogenization together with a simple regularization procedure based on the fracture energy of the micro-scale-constituents. A generalized geometrical characteristic length takes into account the size of the macro-scale element as well as the size of the RVE (and its constituents). The proposed regularization ensures objectivity of the dissipated energy at the macro-scale, with respect to the size of the FE in both scales and with respect to the size of the RVE. The proposed method is first validated against benchmark examples, and finally applied to the numerical simulation of experimental tests on in-plane loaded shear walls made of periodic masonry.
Vorheriger Artikel A coupled global–local shell model with continuous interlaminar shear stresses
Nächster Artikel A computational framework for polyconvex large strain elasticity for geometrically exact beam theory

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Literatur
1.
Addessi D, Sacco E (2014) A kinematic enriched plane state formulation for the analysis of masonry panels. Eur J Mech A Solids 44:188–200CrossRef
2.
Addessi D, Sacco E, Paolone A (2010) Cosserat model for periodic masonry deduced by nonlinear homogenization. Eur J Mech A Solids 29(4):724–737CrossRef
3.
Badillo HA (2012) Numerical modelling based on the multiscale homogenization theory. application in composite materials and structures. PhD thesis, Universitat Politécnica de Catalunya BarcelonaTech
4.
5.
Belytschko T, Loehnert S, Song JH (2008) Multiscale aggregating discontinuities: a method for circumventing loss of material stability. Int J Numer Methods Eng 73(6):869–894CrossRefMathSciNetMATH
6.
Benedetti L, Cervera M, Chiumenti M (2015) Stress-accurate mixed fem for soil failure under shallow foundations involving strain localization in plasticity. Comput Geotech 64:32–47CrossRef
7.
Bosco E, Kouznetsova V, Geers M (2015) Multi-scale computational homogenization-localization for propagating discontinuities using x-fem. Int J Numer Methods Eng 102(3–4):496–527CrossRefMathSciNet
8.
Car E, Zalamea F, Oller S, Miquel J, Oñate E (2002) Numerical simulation of fiber reinforced composite materials–two procedures. Int J Solids Struct 39(7):1967–1986CrossRefMATH
9.
Cervera M, Chiumenti M (2006) Mesh objective tensile cracking via a local continuum damage model and a crack tracking technique. Comput Methods Appl Mech Eng 196(1):304–320CrossRefMATH
10.
Cervera M, Chiumenti M, Codina R (2010a) Mixed stabilized finite element methods in nonlinear solid mechanics. Part ii: strain localization. Comput Methods Appl Mech Eng 199(37):2571–2589CrossRefMathSciNetMATH
11.
Cervera M, Pelà L, Clemente R, Roca P (2010b) A crack-tracking technique for localized damage in quasi-brittle materials. Eng Fract Mech 77(13):2431–2450CrossRef
12.
13.
Dadvand P, Rossi R, Oñate E (2010) An object-oriented environment for developing finite element codes for multi-disciplinary applications. Arch Comput Methods Eng 17(3):253–297CrossRefMATH
14.
Dadvand P, Rossi R, Gil M, Martorell X, Cotela J, Juanpere E, Idelsohn SR, Oñate E (2013) Migration of a generic multi-physics framework to hpc environments. Comput Fluids 80:301–309CrossRefMATH
15.
De Bellis ML (2009) A cosserat based multi-scale technique for masonry structures. In: Phd., thesis
16.
De Bellis ML, Addessi D (2011) A cosserat based multi-scale model for masonry structures. Int J Multiscale Comput Eng 9(5):543–563
17.
Geers M, Kouznetsova VG, Brekelmans WAM (2003) Multiscale first-order and second-order computational homogenization of microstructures towards continua. Int J Multiscale Comput Eng 1(4): 371–386
18.
Hernández JA, Oliver J, Huespe AE, Caicedo M (2012) High-performance model reduction procedures in multiscale simulations. Monograph CIMNE, Barcelona
19.
Hill R (1965) A self-consistent mechanics of composite materials. J Mech Phys Solids 13:213–222CrossRef
20.
Hughes TJ, Feijóo GR, Mazzei L, Quincy JB (1998) The variational multiscale method-a paradigm for computational mechanics. Comput Methods Appl Mech Eng 166(1):3–24CrossRefMATH
21.
Kouznetsova V, Geers MGD, Brekelmans WAM (2002) Multi-scale constitutive modelling of heterogeneous materials with a gradient-enhanced computational homogenization scheme. Int J Numer Methods Eng 54(8):1235–1260CrossRefMATH
22.
Kouznetsova V, Geers M, Brekelmans W (2004) Multi-scale second-order computational homogenization of multi-phase materials: a nested finite element solution strategy. Comput Methods Appl Mech Eng 193:5525–5550 advances in computational plasticityCrossRefMATH
23.
Lloberas-Valls O, Rixen D, Simone A, Sluys L (2011) Domain decomposition techniques for the efficient modeling of brittle heterogeneous materials. Comput Methods Appl Mech Eng 200(13):1577–1590CrossRefMathSciNetMATH
24.
Lloberas-Valls O, Rixen D, Simone A, Sluys L (2012) Multiscale domain decomposition analysis of quasi-brittle heterogeneous materials. Int J Numer Methods Eng 89(11):1337–1366CrossRefMathSciNetMATH
25.
Lourenço PB, Rots JG (1997) Multisurface interface model for analysis of masonry structures. J Eng Mech 123(7):660–668CrossRef
26.
Lourenco PB (1996) Computational strategies for masonry structures. PhD thesis, TU Delft, Delft University of Technology
27.
Lubliner J, Oliver J, Oller S, Oñate E (1989) A plastic-damage model for concrete. Int J Solids Struct 25(3):299–326CrossRef
28.
Mandel J (1971) Plasticité classique et viscoplasticité. Springer, New York
29.
Massart T, Peerlings R, Geers M (2007) An enhanced multi-scale approach for masonry wall computations with localization of damage. Int J Numer Methods Eng 69(5):1022–1059CrossRefMATH
30.
Massart TJ (2003) Multi-scale modeling of damage in masonry structures. PhD thesis
31.
32.
Mercatoris B, Massart T (2011) A coupled two-scale computational scheme for the failure of periodic quasi-brittle thin planar shells and its application to masonry. Int J Numer Methods Eng 85(9):1177–1206CrossRefMATH
33.
Mercatoris B, Bouillard P, Massart T (2009) Multi-scale detection of failure in planar masonry thin shells using computational homogenisation. Eng Fract Mech 76(4):479–499CrossRef
34.
Neto EADS, Feijóo RA (2006) Variational foundations of multi-scale constitutive models of solid: Small and large strain kinematical formulation. LNCC Research and Development Report (16)
35.
Nguyen VP, Stroeven M, Sluys LJ (2011) Multiscale continuous and discontinuous modeling of heterogeneous materials: a review on recent developments. J Multiscale Modell 3(04):229–270CrossRefMathSciNet
36.
Oliver J (1989) A consistent characteristic length for smeared cracking models. Int J Numer Methods Eng 28(2):461–474CrossRefMATH
37.
Oliver J, Caicedo M, Roubin E, Hernández J, Huespe A (2014a) Multi-scale (fe2) analysis of material failure in cement/aggregate-type composite structures. Comput Modell Concr Struct 1:39CrossRef
38.
Oliver J, Dias I, Huespe AE (2014b) Crack-path field and strain-injection techniques in computational modeling of propagating material failure. Comput Methods Appl Mech Eng 274:289–348CrossRefMathSciNetMATH
39.
Oliver Olivella X, Caicedo Silva MA, Roubin E, Huespe AE et al (2014) Continuum approach to computational multi-scale modeling of fracture. Key Eng Mater 627:349–352CrossRef
40.
Oller S (2001) Fractura Mecánica: Un Enfoque Global. Ediciones CIMNE y UPC
41.
Oller S, Miquel Canet J, Zalamea F (2005) Composite material behavior using a homogenization double scale method. J Eng Mech 131(1):65–79CrossRef
42.
Ortolano JM, Hernández JA, Oliver J (2013) A comparative study on homogenization strategies for multi-scale analysis of materials, vol 135. Monograph CIMNE, Barcelona
43.
Otero F, Martínez X, Oller S, Salomón O (2012) Study and prediction of the mechanical performance of a nanotube-reinforced composite. Compos Struct 94:2920–2930CrossRef
44.
Otero F, Oller S, Martinez X, Salomón O (2015) Numerical homogenization for composite materials analysis. comparison with other micro mechanical formulations. Compos Struct 122:405–416CrossRef
45.
Pelà L, Cervera M, Roca P (2011) Continuum damage model for orthotropic materials: application to masonry. Comput Methods Appl Mech Eng 200(9):917–930CrossRefMATH
46.
Pelà L, Cervera M, Roca P (2013) An orthotropic damage model for the analysis of masonry structures. Constr Build Mater 41:957–967CrossRef
47.
Quinteros RD, Oller S, Nallim LG (2012) Nonlinear homogenization techniques to solve masonry structures problems. Compos Struct 94(2):724–730CrossRef
48.
49.
Rots JG (1988) Computational modeling of concrete fracture. PhD thesis, Technische Hogeschool Delft
50.
Scott MH, Fenves GL (2003) A krylov subspace accelerated newton algorithm. In: Proceedings, ASCE structures congress
51.
Simo JC, Rifai M (1990) A class of mixed assumed strain methods and the method of incompatible modes. Int J Numer Methods Eng 29(8):1595–1638CrossRefMathSciNetMATH
52.
Trovalusci P, Masiani R (2003) Non-linear micropolar and classical continua for anisotropic discontinuous materials. Int J Solids Struct 40(5):1281–1297CrossRefMATH
53.
Wu JY, Li J, Faria R (2006) An energy release rate-based plastic-damage model for concrete. Int J Solids Struct 43(3):583–612CrossRefMATH
54.
Zucchini A, Lourenço P (2002) A micro-mechanical model for the homogenisation of masonry. Int J Solids Struct 39(12):3233–3255CrossRefMATH
55.
Zucchini A, Lourenço PB (2009) A micro-mechanical homogenisation model for masonry: application to shear walls. Int J Solids Struct 46(3):871–886CrossRefMATH
Metadaten
Titel
Regularization of first order computational homogenization for multiscale analysis of masonry structures
verfasst von
Massimo Petracca
Luca Pelà
Riccardo Rossi
Sergio Oller
Guido Camata
Enrico Spacone
Publikationsdatum
01.02.2016
Verlag
Springer Berlin Heidelberg
Erschienen in
Computational Mechanics / Ausgabe 2/2016
Print ISSN: 0178-7675
Elektronische ISSN: 1432-0924
DOI
https://doi.org/10.1007/s00466-015-1230-6

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