Modeling of constitutive behavior of anisotropic composite material using multi-scale approach

Ogierman, Witold; Kokot, Grzegorz

doi:10.5755/j01.mech.21.2.10276

Cited by 5 publications

(4 citation statements)

References 14 publications

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“…The homogenization problem consists in the determination of effective material constants of a heterogeneous material [22,36]. The material constants are involved in the relation between macro (averaged) stresses and strains:…”

Section: Numerical Homogenization Of Structures With Spherical Cavitiesmentioning

confidence: 99%

Accuracy of the fast multipole boundary element method with quadratic elements in the analysis of 3D porous structures

Ptaszny

2015

Comput Mech

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In this work, a fast multipole boundary element method for 3D elasticity problem was developed by the application of the fast multipole algorithm and isoparametric 8-node boundary elements with quadratic shape functions. The problem is described by the boundary integral equation involving the Kelvin solutions. In order to keep the numerical integration error on appropriate level, an adaptive method with subdivision of boundary elements into subelements, described in the literature, was applied. An extension of the neighbour list of boundary element clusters, corresponding to near-field computations, was proposed in order to reduce the truncation error of expansions in problems with high stress concentration. Efficiency of the method is illustrated by numerical examples including a solid with single spherical cavity, solids with two interacting spherical cavities, and numerical homogenization of solids with cubic arrangement of spherical cavities. All results agree with analytical models available in the literature. The examples show that the method can be applied to the analysis of porous structures.

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Section: Numerical Homogenization Of Structures With Spherical Cavitiesmentioning

confidence: 99%

Accuracy of the fast multipole boundary element method with quadratic elements in the analysis of 3D porous structures

Ptaszny

2015

Comput Mech

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“…The stiffness of multi-phase material can be estimated with the help of various approaches that have already been proposed. One of the most versatile method that can deal with the finite number of phases of any morphology is numerical homogenization based on finite [8][9][10] or boundary [11,12] element analysis of representative volume element (RVE). On the other hand, this approach generally requires relatively high computational cost.…”

Section: Effective Stiffness Of Three Phase Materialsmentioning

confidence: 99%

“…Finite element based homogenization was performed for representative volume element containing three phases (similar to the one presented in Fig. 1) in a way presented in the previous works of authors [8,9]. It should be underlined that, in general, the applicability of multi-phase Mori-Tanaka methods is limited by their tendency to predict non-symmetric stiffness tensors.…”

Section: Fig 1 Multi Level Homogenization Scheme Using the Example Omentioning

confidence: 99%

Identification of elastic properties of individual material phases by cou-pling of micromechanical model and evolutionary algorithm

Ogierman¹,

Kokot²

2016

mech

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“…The problem of optimal design of the wing as well for passenger or military aircraft, as for Unmanned Aerial Vehicle (UAV), has been considered by many researchers [3][4][5]. Different methods (bio-inspired techniques or gradient based algorithms) have been used for single and multiobjective optimization, only for properties of the composite materials [6][7][8][9][10], as well as for properties of entire components [11,12]. The paper presents an application of the inhouse implementation of the evolutionary multi-objective algorithm in optimization of the UAV wing part.…”

Section: Introductionmentioning

confidence: 99%

Multi-objective optimization of the UAV wing by means of evolutionary computations

Długosz

2017

mech

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Modeling of constitutive behavior of anisotropic composite material using multi-scale approach

Cited by 5 publications

References 14 publications

Accuracy of the fast multipole boundary element method with quadratic elements in the analysis of 3D porous structures

Accuracy of the fast multipole boundary element method with quadratic elements in the analysis of 3D porous structures

Identification of elastic properties of individual material phases by cou-pling of micromechanical model and evolutionary algorithm

Multi-objective optimization of the UAV wing by means of evolutionary computations

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