Computational homogenisation of periodic cellular materials: Application to structural modelling

Iltchev, Alexandre; Marcadon, V.; Kruch, Serge; Forest, Samuel

doi:10.1016/j.ijmecsci.2015.02.007

Cited by 38 publications

(17 citation statements)

References 56 publications

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“…Periodic boundary conditions have been used to account for the periodicity of the structure and ensure that the deformed external surfaces of the RVE are still periodic [17]. of uniaxial tensile and simple shear tests, the effective elastic stiffness fourth-order tensor (ℂ ̅ ̅ ̅ ̅ ) of joint pattern iii has been calculated using Hooke's law for linear orthotropic elastic materials according to [18]: Several finite element simulations of uniaxial tension along the x-, y-, and z-directions, as well as simple shear in the xy, xz, and yz planes, have been performed. From the simulated combination of uniaxial tensile and simple shear tests, the effective elastic stiffness fourth-order tensor (C e ) of joint pattern iii has been calculated using Hooke's law for linear orthotropic elastic materials according to [18]:…”

Section: Joint Pattern IIImentioning

confidence: 99%

Transient Thermo-Mechanical Analysis of Steel Ladle Refractory Linings Using Mechanical Homogenization Approach

et al. 2020

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Mortarless refractory masonry structures are widely used in the steel industry for the linings of many high-temperature industrial applications including steel ladles. The design and optimization of these components require accurate numerical models that consider the presence of joints, as well as joint closure and opening due to cyclic heating and cooling. The present work reports on the formulation, numerical implementation, validation, and application of homogenized numerical models for the simulation of refractory masonry structures with dry joints. The validated constitutive model has been used to simulate a steel ladle and analyze its transient thermomechanical behavior during a typical thermal cycle of a steel ladle. A 3D solution domain and enhanced thermal and mechanical boundary conditions have been used. Parametric studies to investigate the impact of joint thickness on the thermomechanical response of the ladle have been carried out. The results clearly demonstrate that the thermomechanical behavior of mortarless masonry is orthotropic and nonlinear due to the gradual closure and reopening of the joints with the increase and decrease in temperature. In addition, resulting thermal stresses increase with the increase in temperature and decrease with the increase in joint thickness.

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Section: Joint Pattern IIImentioning

confidence: 99%

Transient Thermo-Mechanical Analysis of Steel Ladle Refractory Linings Using Mechanical Homogenization Approach

et al. 2020

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“…thermal conductivity. Such an approach has been successfully implemented for architectured materials in [31,54,56,58,87,101,104].…”

Section: Application To Linear Elasticitymentioning

confidence: 99%

Computational Homogenization of Architectured Materials

Dirrenberger

Forest

Jeulin

2019

Architectured Materials in Nature and Engineering

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Architectured materials involve geometrically engineered distributions of microstructural phases at a scale comparable to the scale of the component, thus calling for new models in order to determine the effective properties of materials. The present chapter aims at providing such models, in the case of mechanical properties. As a matter of fact, one engineering challenge is to predict the effective properties of such materials; computational homogenization using finite element analysis is a powerful tool to do so. Homogenized behavior of architectured materials can thus be used in large structural computations, hence enabling the dissemination of architectured materials in the industry. Furthermore, computational homogenization is the basis for computational topology optimization which will give rise to the next generation of architectured materials. This chapter covers the computational homogenization of periodic architectured materials in elasticity and plasticity, as well as the homogenization and representativity of random architectured materials.

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“…• porous media, for example, Su et al (2011) andZhuang et al (2015) • cellular materials, for example, Nguyen and Noels (2014) and Iltchev et al (2015) • soft matter, for example, Temizer (2014b) • polycrystalline metals, for example, Segurado and Llorca (2013) • technical textiles, for example, Fillep et al (2015) • granular materials, for example, Liu et al (2014) • trabecular bone, for example, Wierszycki et al (2014) • composite plates, for example, Helfen and Diebels (2014) • Li-ion battery cells, for example, Salvadori et al (2014) While CH is an extremely powerful multiscale technique, it comes along with a high computational cost. Nevertheless, CH is naturally parallelizable (Mosby and Matouš, 2015a) and the method has demonstrated excellent scalability as shown later in this chapter.…”

Section: Nonlinear Computational Homogenizationmentioning

confidence: 99%

Homogenization Methods and Multiscale Modeling: Nonlinear Problems

Geers

Kouznetsova

Matouš

et al. 2017

Encyclopedia of Computational Mechanics Second Edition

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This article focuses on computational multiscale methods for the mechanical response of nonlinear heterogeneous materials. After a short historical note, a brief overview is given of some recent activities in the field, with a particular focus on nonlinear homogenization methods. The two‐scale nonlinear computational homogenization (CH) scheme for mechanics is presented, along with details on representative unit cell aspects and statistics. Model performance is advocated through a decoupled implementation and multiscale schemes based on the nonuniform transformation field analysis. High‐performance parallel multiscale implementations of the CH scheme are addressed in more detail.

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Computational homogenisation of periodic cellular materials: Application to structural modelling

Cited by 38 publications

References 56 publications

Transient Thermo-Mechanical Analysis of Steel Ladle Refractory Linings Using Mechanical Homogenization Approach

Transient Thermo-Mechanical Analysis of Steel Ladle Refractory Linings Using Mechanical Homogenization Approach

Computational Homogenization of Architectured Materials

Homogenization Methods and Multiscale Modeling: Nonlinear Problems

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