Application of the method of conditional moments to investigating the deformation properties of orthotropic composites with fiber microdamages |
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Authors: | L Nazarenko L P Khoroshun W H Müller B R Wille |
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Institution: | (1) Institute of Mechanics, Ukrainian National Academy of Sciences, Kiev, Ukraine;(2) Institute of Mechanics, Technical University, Berlin, Germany |
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Abstract: | A model of deformation of stochastic composites subjected to microdamage is developed for the case of orthotropic materials
with microdamages accumulating in the fibers. The composite is treated as a matrix strengthened with elliptic fibers with
orthotropic elastic properties. The fractured microvolumes are modeled by a system of randomly distributed quasi-spherical
pores. The porosity balance equation and relations for determining the effective elastic moduli for the case of a fibrous
composite with orthotropic components are used as the fundamental relations. The fracture criterion is given as a limit value
of the intensity of average shear stresses occurring in the undamaged part of the material, which is assumed to be a random
function of coordinates and is described by the Weibull distribution. Based on an analytical and numerical approach, the algorithm
for determining the nonlinear deformation properties of such a material is constructed. The nonlinearity of composite deformations
is caused by the accumulation of microdamages in the fibers. By using a numerical solution, the nonlinear stress–strain diagrams
for an orthotropic composite in uniaxial tension are obtained.
Translated from Mekhanika Kompozitnykh Materialov, Vol. 45, No. 1, pp. 17–30, January–February, 2009. |
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Keywords: | orthotropic composite material stochastic structure microdamages porosity effective characteristics Weibull distribution porosity balance equation |
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