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IssuesArchive of Issues2011-5pp.669-677

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I.S. Nikitin, "Constitutive Relations for a Growing Masonry with Setting Mortar," Mech. Solids. 46 (5), 669-677 (2011)
Year 2011 Volume 46 Number 5 Pages 669-677
DOI 10.3103/S0025654411050025
Title Constitutive Relations for a Growing Masonry with Setting Mortar
Author(s) I.S. Nikitin (Moscow State Aviation Technological University, Orshanskaya 3, Moscow, 121552 Russia, i_nikitin@list.ru)
Abstract A model is proposed for averaging a periodic block structure, namely, a growing brick masonry body with setting interlayers of bonding mortar. The brick (block) material is assumed to be elastic, and the setting mortar is described by the model of an inhomogeneously aging viscoelastic medium. The obtained system of constitutive relations describes an anisotropic inhomogeneously aging viscoelastic medium and contains a small parameter that is the ratio of the hardening interlayer thickness to the brick thickness. Also presented is an example of solving the problem of erecting a brickwork (wall) deviating from the vertical in the gravity field.
Keywords block structure, viscoelastic model, inhomogeneously aging medium, growing brick masonry
References
1.  P. Lourenco and A. Zucchini, "Mechanics of Masonry in Compression: Results from a Homogenization Approach," Comp. Struct. 85 (3-4), 193-204 (2007).
2.  L. Berto, A. Saetta, R. Scotta, and R. Vitaliani, "An Orthotropic Damage Model for Masonry Structures," Int. J. Numer. Methods Engng 55 (2), 127-157 (2002).
3.  G. G. Kashevarova and N. A. Trufanov, "Numerical Analysis of Effective Elastic Properties of a Masonry Material," Mekh. Komp. Mater. Konstr. 11 (1) 49-60 (2005) [J. Comp. Mech. Design (Engl. Transl.)].
4.  V. G. Bazhenov, A. V. Gordienko, S. V. Zefirov, et al., "Modeling of Deformation and Fracture of Structures Made of Piecewise-Homogeneous Materials of a Regular Structure under Explosive Loading," Mat. Modelirovanie 18 (8), 86-92 (2006) [Math. Models Comput. Simul. (Engl. Transl.)].
5.  N. Kh. Arutyunyan and A. V. Manzhirov, Contact Problems of Creep Theory (Inst. Mekh. NAN, Erevan, 1999) [in Russian].
6.  N. Kh. Arutyunyan and V. B. Kolmanovskii, Creep Theory of Inhomogeneous Solids (Nauka, Moscow, 1983) [in Russian].
7.  I. S. Nikitin, "Dynamic Models of Layered and Block Media with Slip, Friction, and Separation," Izv. Akad. Nauk. Mekh. Tverd. Tela, No. 4, 154-165 (2008) [Mech. Solids (Engl. Transl.) 43 (4), 652-661 (2008)].
Received 03 April 2009
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