Combining self-consistent and numerical methods for the calculation of elastic fields and effective properties of 3D-matrix composites with periodic and random microstructures

DOI10.1016/j.ijengsci.2011.01.001zbMath1231.74020OpenAlexW2012533250MaRDI QIDQ660516

Juan-Miguel Gracia

Publication date: 4 February 2012

Published in: International Journal of Engineering Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ijengsci.2011.01.001

zbMATH Keywords

integral equationsfast Fourier transformToeplitz matrixeffective elastic propertiesheterogeneous mediumGaussian approximating functions

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Random materials and composite materials (74A40) Spectral and related methods applied to problems in solid mechanics (74S25) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (9)

Effective conductivity of matrix composites and foam materials by self-consistent field method using commercial FEA software ⋮ Overall elastic properties of a material containing inhomogeneities of concave shape ⋮ An efficient homogenization method for elastic media with multiple cracks ⋮ An efficient homogenization method for composite materials with elasto-plastic components ⋮ Effects of the orientation distribution of thin soft inclusions on the effective elastic moduli of microheterogeneous material ⋮ A unified methodology for calculation of compliance and stiffness contribution tensors of inhomogeneities of arbitrary 2D and 3D shapes embedded in isotropic matrix -- open access software. ⋮ Local fields and effective conductivity of composites with anisotropic components ⋮ Preface ⋮ Replacement relations for elastic composite materials having different matrices and related problems

Cites Work

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• A numerical method for computing the overall response of nonlinear composites with complex microstructure
• A numerical approximation to the elastic properties of sphere-reinforced composites.
• Self-consistent methods for composites. Vol. 1: Static problems
• Composites with periodic microstructure

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