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DESIGN, ASSEMBLY AND CHARACTERIZATION OF COMPOSITE ...

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different local deformation fields generated by different elastic and plastic properties<br />

under mechanical loading can cause internal stresses and strains. A graded structure can<br />

mitigate abrupt transitions in composition or microstructure at both the microscopic and<br />

macroscopic scales, and optimally control the distribution of residual stress.<br />

2.8.1 Rule of Mixture Approximations<br />

To quantitatively analyze the thermomechanical properties of the metal-ceramic<br />

composite, methods for estimating the effective properties of the underlying dual phase<br />

or multiphase structures are required. The overall mechanical properties of a binary<br />

phase composite depends on parameters such as concentration, shape and contiguity, and<br />

spatial distribution of each phase. 48, 65, 66, 69 Two example models are parallel (e.g.,<br />

aligned fibers in a continuous matrix) or series (e.g., laminated sheets) as given in the<br />

following equations:<br />

and

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