Coupled-volume multi-scale modelling of quasi-brittle material

By I. Gitman, H. Askes, Lambertus J. Sluys. 2008

159 citations recorded by the source corpus.

The hierarchical multi-scale procedure is analysed in this paper. A local multi-scale model has been studied with respect to the macro-level mesh size and meso-level cell size dependency. The material behaviour has been analysed in case of linear-elasticity, hardening and softening. Though the results show no dependency in cases of linear-elasticity and hardening, a strong dependency on both macro-level mesh size and meso-level cell size in case of softening has been found. In order to eliminate both macro-level mesh size and meso-level cell size dependency, a new multi-scale procedure has been proposed. This procedure uniquely links the numerical parameter “macro-level mesh size” with the model parameter “meso-level cell size”. The results of this coupled-volume multi-scale model show no dependency on the macro-level mesh size or meso-level cell size.

Subfields: Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/5d499d2041cc8f1025dd145360d6f2e83e756f0a

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Mechanics of Materials

Citations in the corpus

Computational homogenization for adhesive and cohesive failure in quasi‐brittle solids (2010, unknown): “[22].”
MULTISCALE CONTINUOUS AND DISCONTINUOUS MODELING OF HETEROGENEOUS MATERIALS: A REVIEW ON RECENT DEVELOPMENTS (2011, methodology): “Another multiscale method with strong macro-micro coupling has been given in Ibrahimbegović and Markovič54 for elasto-plastic multiphase materials and in Gitman et al.35 for quasi-brittle softening materials.”
Discrete element method simulations of fracture in concrete under uniaxial compression based on its real internal structure (2018, methodology): “The concrete behaviour at the meso-scale was modelled within continuum models (e.g. Gitman et al., 2008; Kim and Abu Al-Rub, 2011; Shahbeyk et al., 2011; Skarz_yński et al., 2015; Skarz_yński and Tejchman, 2010, 2016) and discrete models (e.g. Bolander and Sukumar, 2005; Carol et al., 2001; Chen…”
Gradient elasticity in statics and dynamics: An overview of formulations, length scale identification procedures, finite element implementations and new results (2011, background): “, 2007b) and other micro–macro relations must be explored (Gitman et al., 2008).”
A computational library for multiscale modeling of material failure (2013, background): “[47] and Bazant [14], the applicability of standard/conventional semi-concurrent methods for strain softening materials is questionable.”
Homogenization-based multiscale crack modelling: from micro diffusive damage to macro cracks (2011, background): “Homogenization-based multiscale modelling techniques can either be numerical homogenization [2] or computational homogenization [3], see [4] for a detailed discussion.”