Multilevel approach for brick masonry walls – Part I: A numerical strategy for the nonlinear analysis

Brasile, Sandro; Casciaro, Raffaele; Formica, Giovanni

doi:10.1016/j.cma.2007.06.021

Cited by 40 publications

(47 citation statements)

References 12 publications

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“…A numerical strategy, based on a multilevel approach, has been developed and investigated in [1,2]. While limited to the in-plane masonry behavior, the results proved that the approach is effective and computationally convenient for both the linear and nonlinear path-following static analysis of brick masonry walls, and can also account for cracking and damage through the model proposed in [8][9][10].…”

Section: Introductionmentioning

confidence: 96%

“…The multilevel modeling and solution approach for plane brick masonry walls proposed in [1,2] is extended here to the free vibration analysis. The proposed strategy is based on a convenient iterative-residual scheme particularly appropriate for the cited multilevel strategy.…”

Section: Introductionmentioning

confidence: 99%

“…The paper is organized as follows: Section 2 sets out the basics of the multilevel approach and introduces, and briefly summarizes, the fine/coarse plane masonry modelings proposed in [1] and adapts its implementation to vibration problems; Section 3 describes the proposed multilevel iterative solution scheme for free vibration analysis; Section 4 then reports some numerical investigations to show the effectiveness of our proposal and the gain in accuracy which is obtained with respect to traditional approaches based on homogenized continua; finally, Section 5 makes some concluding remarks.…”

Section: Introductionmentioning

confidence: 99%

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Multilevel approach for brick masonry walls – Part III: A strategy for free vibration analysis

Brasile

Casciaro

2009

Computer Methods in Applied Mechanics and Engineering

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Section: Introductionmentioning

confidence: 96%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Multilevel approach for brick masonry walls – Part III: A strategy for free vibration analysis

Brasile

Casciaro

2009

Computer Methods in Applied Mechanics and Engineering

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“…see [24][25][26] and the references therein). This kind of approach requires that special strategies are needed for bridging the micro-and macro-scale directly.…”

Section: Introductionmentioning

confidence: 97%

A new multiscale computational method for elasto-plastic analysis of heterogeneous materials

Zhang

2011

Comput Mech

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A new multiscale computational method is developed for the elasto-plastic analysis of heterogeneous continuum materials with both periodic and random microstructures. In the method, the multiscale base functions which can efficiently capture the small-scale features of elements are constructed numerically and employed to establish the relationship between the macroscopic and microscopic variables. Thus, the detailed microscopic stress fields within the elements can be obtained easily. For the construction of the numerical base functions, several different kinds of boundary conditions are introduced and their influences are investigated. In this context, a two-scale computational modeling with successive iteration scheme is proposed. The new method could be implemented conveniently and adopted to the general problems without scale separation and periodicity assumptions. Extensive numerical experiments are carried out and the results are compared with the direct FEM. It is shown that the method developed provides excellent precision of the nonlinear response for the heterogeneous materials. Moreover, the computational cost is reduced dramatically.

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“…Dealing with regular textures, the micro/macroscale transition can thus be performed toward an enriched generalised continuum, which retains some information on the microstructure and internal length [Masiani et al 1995;Sulem and Mühlhaus 1997;Forest and Sab 1998]. More recently, the relationship between the micro and macroscale for the specific case of masonry-like periodic rigid block assemblies has also been handled by resorting to a multiscale strategy [Trovalusci and Masiani 2005;Brasile et al 2007]. …”

Section: Introductionmentioning

confidence: 99%

Macroscale modelling of microstructure damage evolution by a rigid body and spring model

Casolo

2009

J. Mech. Mater. Struct.

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A mechanistic approach is presented for macroscale modelling of a structured solid material. The model consists of an assemblage of rigid mass-elements connected to each other by normal and shear linesprings at each side. The characteristics of these springs govern the macroscopic behaviour of the model that is able to incorporate an internal length and a polarity, in analogy with an orthotropic Cosserat solid material. The present numerical implementation addresses the in-plane modelling of a masonry-like composite whose main macroscopic constitutive aspects are: very low tensile strength, texture-dependent evolution of the damage, and orthotropy of shear strength and internal friction. The constitutive rules are assigned by following a heuristic approach, based on the main in-plane damage mechanisms that are identified at the mesoscale, on a representative volume element of the composite solid material. In particular, specific separate constitutive laws for the normal and the shear springs are adopted. Two numerical tests compare the present macroscale approach with a detailed finite element micromodelling, and demonstrate the capability of the proposed model to describe the main microstructure features of the damaging process with very few degrees of freedom.

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Multilevel approach for brick masonry walls – Part I: A numerical strategy for the nonlinear analysis

Cited by 40 publications

References 12 publications

Multilevel approach for brick masonry walls – Part III: A strategy for free vibration analysis

Multilevel approach for brick masonry walls – Part III: A strategy for free vibration analysis

A new multiscale computational method for elasto-plastic analysis of heterogeneous materials

Macroscale modelling of microstructure damage evolution by a rigid body and spring model

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