Paper Info
Title
Numerical Homogenization of Epoxy-Clay Composite Materials.
Abstract
The numerical homogenization of anisotropic linear elastic materials with strongly heterogeneous microstructure is studied. The developed algorithm is applied to the case of two-phase composite material: epoxy resin based nanocomposite incorporating nanoclay Cloisite. The upscaling procedure is described in terms of six auxiliary elastic problems for the reference volume element (RVE). A parallel PCG method is implemented for efficient solution of the arising large-scale systems with sparse, symmetric, and positive semidefinite matrices. Then, the bulk modulus tensor is computed from the upscaled stiffness tensor and its eigenvectors are used to define the transformation matrix. The stiffness tensor of the material is transformed with respect to the principle directions of anisotropy (PDA) which gives a canonical (unique) representation of the material properties. Numerical upscaling results are shown. The voxel microstructure of the two-phase composite material is extracted from a high resolution computed tomography image.
Year
DOI
Venue
2014
10.1007/978-3-319-15585-2_15
Lecture Notes in Computer Science
Field
DocType
Volume
Composite material,Tensor,Micromechanics,Homogenization (chemistry),Stiffness matrix,Linear elasticity,Material properties,Volume element,Materials science,Eigenvalues and eigenvectors
Conference
8962
ISSN
Citations 
PageRank 
0302-9743
0
0.34
References 
Authors
5
4
Name
Order
Citations
PageRank
Ivan Georgiev171.77
Evgeni Ivanov201.01
Svetozar Margenov3651161.11
Yavor Vutov4279.45