Composite Material Behavior Using a Homogenization Double Scale Method
By S. Oller, J. M. Canet, F. Zalamea. 2005
47 citations recorded by the source corpus.
In this paper, we present a two-scale numerical method in which structures made up of composite materials are simulated. The method proposed lies within the context of homogenization theory and assumes the periodicity of the internal structure of the material. The problem is divided into two scales of different orders of magnitude: A macroscopic scale in which the body and structure of the composite material is simulated, and a microscopic scale in which an elemental volume called a cell simulates the material. In this work, the homogenized strain tensor is related to the transformation of the periodicity vectors. The problem of composite materials is posed as a coupled, two-scale problem, in which the constitutive equation of the composite material becomes the solution of the boundary-value problem in the cell domain. Solving various examples found in the bibliography on this subject demonstrates the validity of the method.
Subfields: Computational Theory and Mathematics, Mechanics of Materials
View Paper: https://www.semanticscholar.org/paper/79406e7be7637b325f433ad71a9a2326bf329169
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In Computational Theory and Mathematics
In Mechanics of Materials
Citations in the corpus
- A continuum damage model for composite laminates: Part I - Constitutive model (2007, background): “, 2002), or solved using finite elements (Car et al., 2002; Oller et al., 2005).”
- An efficient multi-scale method for non-linear analysis of composite structures (2015, methodology): “The macroscopic deformation gradient tensor is used to solve the problem at the microstructural scale and then the macroscopic stress tensor is obtained using the averaging equation [16, 17].”
- Composite materials non-linear modelling for long fibre-reinforced laminates (2008, background): “[6,7], the computational cost of a complete double scale approach for a large scale non-linear structural analysis is still not affordable with ordinary computers, even with parallel computations.”
- Multiscale Computational Homogenization: Review and Proposal of a New Enhanced-First-Order Method (2016, background): “And, there are not restriction on the constitutive model used in the component materials, even non-linear materials and time-dependency models can be taken into account [89, 93, 108].”