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Incorporating the interfacial damage and thermal residual stresses, an
elastoplastic damage formulation is proposed to predict the overall
transverse mechanical behavior of continuous elliptical-fiber reinforced
ductile matrix composites within the framework of micromechanics and
homogenization. Based on the concept of equivalent inclusion and taking
the progressive interfacial debonding angle into consideration,
partially debonded fibers are replaced by equivalent orthotropic,
perfectly bonded fibers. Three interfacial damage modes are considered.
The Weibull's probabilistic function is adopted to describe the
varying probability of progressive partial fiber debonding. The
effective elastic moduli of four-phase composites, composed of a
ductile matrix and randomly located yet unidirectionally aligned fibers
are derived by a micromechanical formulation.
Thermal residual stresses are taken into account through the concept of
thermal eigenstrain to investigate the effects of the manufacturing
process-induced residual stresses. Employing the micromechanical
approximation, the overall stress-strain responses and the effective
yield function are formulated with the thermal eigenstrain. When
comparing with the available experimental data, significant effects of
thermal residual stresses are discussed. Moreover, the effects of the
interfacial strengths
and the cross-sectional shapes of fibers on the mechanical behaviors of
composites are systematically investigated.
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