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Micromechanical models (numerical as well as analytical) based on the 'effective clay particle' were employed to calculate the overall elastic modulus of the amorphous and semi-crystalline polymer clay nanocomposites and to compute their dependence on the matrix and clay properties as well as internal clay structural parameters.
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By this, the code of analytical queries can be reused by other users to issue the same query or build new analytical queries based on the current ones.
The analytical solutions based on the Timoshenko analytical solution and the computational results were in good agreement with experimental observations.
The author has previously proposed one analytical method based on the IFM concept (Luo and Cheng 2009).
This topology was used throughout the study as the primary basis of phylogeny-based analyses, although we do present alternative analytical results based on the mitochondrial gene topology.
Analytical models based on the classical laminate theory deliver optimization results in less than one second.
Therefore, an analytical study based on the adsorption of MO on SMNPs was performed.
An analytical study based on the energy balance of the system was also performed.
See the Appendix for an analytical framework based on the Solon (2004) model.
We provide an analytical solution based on the Lagrange dual decomposition framework.
Firstly, an analytical analysis based on the global redundancy number is conducted.
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