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Furthermore, a parameter study is performed to explore the influence of volume fraction and hardness of the inclusion phase.
The recruitment and inclusion phase was divided into a series of different consecutive examinations of increasing complexity.
In this paper, we propose a numerical framework for optimizing the fracture resistance of quasi-brittle composites through a modification of the topology of the inclusion phase.
The damping enhancement is attributed to the large shear deformation of the viscous soft matrix and the large strengthening effect from the rigid inclusion phase.
A small deformation Voronoi Cell finite element model is developed, in which each element may consist of a matrix phase, an inclusion phase and a crack phase.
Extended bi-directional evolutionary structural optimization (BESO) method is employed and formulated to find the optimal distribution of inclusion phase, given a target volume fraction of inclusion and seeking a maximal fracture resistance.
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We demonstrate its application to two material systems: studying the distribution of catalyst material on porous substrates for industrial scale chemical processing; and mapping of minerals and inclusion phases inside a mineralised ore sample.
It is found that the more compliant the matrix and inclusion phases of the composite are, the stronger the long-term memory effects are, especially when the inclusions are more compliant than the matrix.
The present method provides convergent and reasonable results for a full range of variations in fiber section shapes (from circular fibers to ribbons), for a complete spectrum of the fiber volume fraction (from 0 to 1, and the latter limit shows the correct asymptotic behavior in the fully packed case) and for extreme types of the inclusion phases (from voids to rigid inclusions).
We regarded inclusion phases satisfying at least three among these five conditions as exsolved phases (i.e., not trapped inclusions) in the strict sense.
The variations of chemistry, inclusion phases, and exsolved phases suggest heterogeneities in the shallow to deep mantle underneath the Colorado Plateau.
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