Micromechanics determination of effective material coefficients of cement-based piezoelectric ceramic composites

Saputra, Albert A.; Sládek, V.; Sládek, J.; Song, Chongmin

doi:10.1177/1045389x17721047

Cited by 38 publications

(34 citation statements)

References 36 publications

(52 reference statements)

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“…Now, we can evaluate effective electro-mechanical material properties for cement-based PZT composite. The effective elastic and piezoelectric coefficients can be computed if the boundary conditions are selected as shown in [24]. The average values of the secondary fields are then given as…”

Section: =  mentioning

confidence: 99%

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Computational Homogenization of Cement-Based Porous Piezoelectric Composites with Random Structure

Novák

Peter

Žmindák

2019

Strojnícky Časopis - Journal of Mechanical Engineering

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The finite element method (FEM) is used to characterize the effective thermo-electromechanical material properties of cement-based piezoelectric ceramic composites in this paper. The micromechanics representative volume element (RVE) approach is used with distribution of piezoelectric particles in the porous cement matrix. The effects of the piezoelectric particle volume fraction and pore volume fraction on the effective composite properties are determined using sets of different boundary conditions. Microscale homogenization is carried out through the analysis of particles which are randomly distributed in a homogenized matrix.

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Section: =  mentioning

confidence: 99%

“…Similarly, we get with PVF calculated using formulas (16), (18) and (19). with PVF calculated using formulas (24) and (25). The constitutive equations are given in [22] and are valid for averagee fields in the RVE.…”

Section: =  mentioning

confidence: 99%

Computational Homogenization of Cement-Based Porous Piezoelectric Composites with Random Structure

Novák

Peter

Žmindák

2019

Strojnícky Časopis - Journal of Mechanical Engineering

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“…Adaptive mesh coarsening of an initially uniform pixel-or voxel-grid employing quadtreeand octree-type coarsening is instrumental to reduce the computational complexity, interfaces preserve their high resolution for accuracy and phase interiors are subject to coarsening for efficiency, Legrain et al [33], Huang et al [28], Ren et al [43], Saputra et al [45], Gravenkamp and Duczek [24], Saputra et al [46]. Only very recently the adaptive coarsening was carried out along with an accompanying error control [19,13].…”

Section: Introductionmentioning

confidence: 99%

Computational Homogenization of Concrete in the Cyber Size-Resolution-Discretization (SRD) Parameter Space

Gote¹,

Fischer²,

Zhang³

et al. 2021

Preprint

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Micro-and mesostructures of multiphase materials obtained from tomography and image acquisition are an ever more important database for simulation analyses. Huge data sets for reconstructed 3d volumes typically as voxel grids call for criteria and measures to find an affordable balance of accuracy and efficiency. The present work shows for a 3d mesostructure of concrete in the elastic deformation range, how the computational complexity in analyses of numerical homogenization can be reduced at controlled errors. Reduction is systematically applied to specimen size S, resolution R, and discretization D, which span the newly introduced SRD parameter space. Key indicators for accuracy are (i) the phase fractions, (ii) the homogenized elasticity tensor, (iii) its invariance with respect to the applied boundary conditions and (iv) the total error as well as spatial error distributions, which are computed and estimated. Pre-analyses in the 2d SRD parameter sub-space explore the transferability to the 3d case. Beyond the concrete specimen undergoing elastic deformations in the present work, the proposed concept enables accuracy-efficiency balances for various classes of heterogeneous materials in different deformation regimes and thus contributes to build comprehensive digital twins of materials with validated attributes.

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“…Using SBFEM to compute the effective mechanical properties was first performed in the work of Sladek et al for voided materials (see also the work of Sladek et al). Saputra et al investigated the effective properties for a composite of piezoelectric particles in a cement matrix via SBFEM. Based on SBFEM, Bek et al determined the elastic properties in polymeric nano‐composites material.…”

Section: Introductionmentioning

confidence: 99%

The scaled boundary finite element method for computational homogenization of heterogeneous media

Talebi

Silani

Klusemann

2019

Numerical Meth Engineering

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Materials exhibit macroscopic properties that are dependent on the underlying components at lower scales. Computational homogenization using the finite element method (FEM) is often used to determine the effective mechanical properties based on the microstructure. However, the use of FEM might suffer from several difficulties such as mesh generation, application of periodic boundary conditions or computations in presence of material interfaces, and further discontinuities. In this paper, we present an alternative approach for computational homogenization of heterogeneous structures based on the scaled boundary finite element method (SBFEM). Based on quadtrees, we are applying a simple meshing strategy to create polygonal elements for arbitrary complex microstructures by using a relatively small number of elements. We show on selected numerical examples that the proposed computational homogenization technique represents a suitable alternative to classical FEM approaches capable of avoiding some of the mentioned difficulties while accurately and effectively calculating the macroscopic mechanical properties. An example of a two-scale semiconcurrent coupling between FEM and SBFEM is presented, illustrating the complementarity of both approaches. KEYWORDScomputational homogenization, effective properties, microstructure, polygonal elements, SBFEM Int J Numer Methods Eng. 2019;118:1-17. wileyonlinelibrary.com/journal/nme How to cite this article: Talebi H, Silani M, Klusemann B. The scaled boundary finite element method for computational homogenization of heterogeneous media. Int J Numer Methods Eng. 2019;118:1-17.

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Micromechanics determination of effective material coefficients of cement-based piezoelectric ceramic composites

Cited by 38 publications

References 36 publications

Computational Homogenization of Cement-Based Porous Piezoelectric Composites with Random Structure

Computational Homogenization of Cement-Based Porous Piezoelectric Composites with Random Structure

Computational Homogenization of Concrete in the Cyber Size-Resolution-Discretization (SRD) Parameter Space

The scaled boundary finite element method for computational homogenization of heterogeneous media

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