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The multifield model is based on the theory of microstructured continua, and allows the introduction of microstructural variables (in this case the local microfiber orientation) within a standard continuum model.
Ultimately by being able to model fracture behaviour accurately, this would enable a systematic study of microstructural variables in isolation to optimise composition to improve fracture toughness, something which is difficult to do experimentally.
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In these models, the porosity and P-durability index representing microstructural variables are the input parameters.
However, we have found that the statistical behavior of fatigue lifetimes under a given test condition often exhibits a bimodal form, and that the trends in mean vs. minimum fatigue lifetime typically respond differently to loading or to microstructural variables.
To determine the effects of the microstructure on crack nucleation, a local microstructural variable is defined in terms of the surface area fraction of soft grains surrounding each hard grain or SAFSSG.
In many cases, e.g., in modeling the rheology of complex fluids, it has been found that the memory kernels can be avoided by including additional, microstructural dynamic variables in the description (Bird et al. 1987a, b).
The optimization procedure was performed at different stages where microstructural parameters were considered separately and also in combination with operational variables in 2-objective and 3-objective cases.
And variable in quality.
If these findings are confirmed with future studies, knowledge of prior values of SBP that are high and variable in very old adults may alert clinicians to the potential for underlying focal white matter abnormalities, both at the macro- and microstructural levels.
It is intended to concurrently predict evolution of variables at the structural and microstructural scales, as well as to track the incidence and propagation of microstructural damage in composite and porous materials.
b Microstructural change in the HAZ-bulk interface.
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