Multiscale Modeling and Multifunctional Composites
Final rept. 1 May 2011-30 Apr 2013
BRITISH UNIV AT EGYPT EL SHOROUK
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Considering multifunctional fibrous composites, laminates and structures, a unified, transformation field analysis TFA approach is developed to model their overall response to thermomechanical loads, as well as local phenomena due to coupled effects and damage. Local stresses and strains generated as a result of piezoelectric andor pyroelectric behavior of the fibers are treated as transformation fields, which remain in the system even under mechanical unloading. Their effect on the stress and strain distribution at the microscale of a unidirectional composite, the macroscale of a laminate, and the structural scale is determined in terms of transformation influence factors that are a function of the elastic properties of the fiber and matrix phases, and the geometry idealizations at the three length scales. Treatment of damage follows the same scheme but the transformation fields are instead determined such that the local stresses in the affected phase are removed. The result is tri-length scale model, which seamlessly connects the stress and strain fields in the fiber and matrix phases, membrane forces and bending moments in laminates, and the overall thermomechanical, structural loads to determine the overall response. The latter is determined with the ABAQUS finite element code, in which the transformation field analysis was implemented.
- Laminates and Composite Materials