An enhanced multi‐scale approach for masonry wall computations with localization of damage

By T. Massart, Rhj Ron Peerlings, Mgd Marc Geers. 2007

253 citations recorded by the source corpus.

Subfields: Civil and Structural Engineering, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/78652dd8a0a79557c6eff3c981508faf0e3b1bc5

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In Civil and Structural Engineering

In Mechanics of Materials

Citations in the corpus

MULTISCALE CONTINUOUS AND DISCONTINUOUS MODELING OF HETEROGENEOUS MATERIALS: A REVIEW ON RECENT DEVELOPMENTS (2011, methodology): “14): • Microscopic failure is modeled via a nonlocal continuum damage model; • Macroscopic localization is represented by a strain discontinuity of finite width that is defined from the periodicity of the considered masonry material; • The onset of macroscopic localization is based on the loss of po”
Multiscale aggregating discontinuities: A method for circumventing loss of material stability (2008, methodology): “Note added in proof: We just became aware of another approach to introducing discontinuities in multiscale methods, Reference [47].”
A review of predictive nonlinear theories for multiscale modeling of heterogeneous materials (2017, background): “In this case, the microscale properties within the localization band are directly upscaled to the macroscale, the description of which is enriched by either a discrete band (weak discontinuity) [172,173] or a discontinuous jump (strong discontinuity) [174–177] representing the propagating fracture a”
Modeling Strategies for the Computational Analysis of Unreinforced Masonry Structures: Review and Classification (2019, methodology): “Massart et al. [215] proposed an enhanced multi-scale model using nonlocal implicit gradient isotropic damage models for both the constituents, describing the damage preferential orientations and employing at the macroscopic scale an embedded band model.”
Regularization of first order computational homogenization for multiscale analysis of masonry structures (2015, unknown): “In the context of masonry modeling, works on continuousdiscontinuous computational homogenization can be found in [30, 35] for modeling the in-plane behavior of masonry structures, and later on extended to the study of shell elements for the analysis of the out-of-plane behavior [32, 33], while work”
A computational library for multiscale modeling of material failure (2013, methodology): “Please refer to the work of Massart et al. [77,78] for the masonry cracking, Belytschko et al. [21], Belytschko and Song [22] (the MAD method), Allen et al. [124,125], Nguyen et al.[90–92 In the following, we will explain the very basic but general theory of semi-concurrent methods that leads us to…”
Continuum damage model for orthotropic materials: Application to masonry (2011, background): “An important class of models addresses the aforementioned difficulty by resorting to multi-level or multi-scale methods [35-39] which transfer the identification problem to the scale of constituents.”
Coarse‐graining of multiscale crack propagation (2010, methodology): “[14], who have presented a method for linking failure of mortar to coarse scale discontinuities.”
A 3D detailed micro-model for the in-plane and out-of-plane numerical analysis of masonry panels (2018, background): “In addition, homogenization and upscaling procedures represent a link between the two approaches [7, 8, 9, 10, 11, 12].”
Homogenization-based multiscale crack modelling: from micro diffusive damage to macro cracks (2011, methodology): “Whenever the peak at the micro model is observed, say by an appearance of one negative eigenvalue of the macro tangentTM as proposed in [31], we switch to the use of the algorithm given in Box (2) as a kind of multiscale constitutive box for the softening branch.”