This paper deals with homogenization of heterogeneous, fibre-reinforced material. One of the main points of the work consists in taking into account the breakage of the fibres, to compute the effective behaviour of the damaged composite. Furthermore, the possible yielding of the matrix material is considered. The problem is solved for the coupled thermo-mechanical field, that is all material characteristics can be temperature dependent and thermal loads can be simulated. The method is based on a selfconsistent type scheme, suitably extended for the case at hand.The effective behaviour is obtained by considering isotropic elastic-brittle cylindrical inclusionssurrounded by a shell of elasto-plastic matrix material immersed in an infinite medium endowed withthe effective properties.Usually in the framework of the self consistent scheme, the homogenised material behaviour isobtained with a symbolic approach. On the contrary, in this work the solution is found in a nonclassicalway, as we use the finite element method to find the solution of the thermo-mechanicalproblem as a function of the effective material characteristics.Some numerical examples are presented to show the effectiveness of the method.
Micro Fibre Cracking and Macro Non Linear Behaviour of Composites using Generalized Self Consistent Homogenisation
BOSO, DANIELA;SCHREFLER, BERNHARD
2011
Abstract
This paper deals with homogenization of heterogeneous, fibre-reinforced material. One of the main points of the work consists in taking into account the breakage of the fibres, to compute the effective behaviour of the damaged composite. Furthermore, the possible yielding of the matrix material is considered. The problem is solved for the coupled thermo-mechanical field, that is all material characteristics can be temperature dependent and thermal loads can be simulated. The method is based on a selfconsistent type scheme, suitably extended for the case at hand.The effective behaviour is obtained by considering isotropic elastic-brittle cylindrical inclusionssurrounded by a shell of elasto-plastic matrix material immersed in an infinite medium endowed withthe effective properties.Usually in the framework of the self consistent scheme, the homogenised material behaviour isobtained with a symbolic approach. On the contrary, in this work the solution is found in a nonclassicalway, as we use the finite element method to find the solution of the thermo-mechanicalproblem as a function of the effective material characteristics.Some numerical examples are presented to show the effectiveness of the method.Pubblicazioni consigliate
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