Effective elastoplastic behavior of ductile matrix composites containing randomly located aligned circular fibers

2001 ◽  
Vol 38 (22-23) ◽  
pp. 4045-4069 ◽  
Author(s):  
J.W. Ju ◽  
X.D. Zhang
2016 ◽  
Vol 14 (05) ◽  
pp. 1750058 ◽  
Author(s):  
M. U. Siddiqui ◽  
Abul Fazal M. Arif

Computational homogenization provides an excellent tool for the design of composite materials. In the current work, a computational approach is presented that is capable of estimating the elastic and rate-independent plastic constitutive behavior of metal matrix composites using finite element models of representative volume elements (RVEs) of the composite material. For this purpose, methodologies for the generation of three-dimensional computational microstructures, size determination of RVEs and the homogenization techniques are presented. Validation of the approach is carried out using aluminum–alumina composite samples prepared using sintering technique. Using the homogenized material response, effective constitutive models of the composite materials have been determined.


Author(s):  
Tian Tang ◽  
Wenbin Yu

The focus of this paper is to develop a micromechanics model based on the variational asymptotic method for unit cell homogenization (VAMUCH) for predicting of the initial yielding surface, overall instantaneous moduli, and elastoplastic behavior of metal matrix composites. Considering the size of the microstructure as a small parameter, we can formulate a variational statement of the unit cell through an asymptotic expansion of the energy functional. To handle realistic microstructures, we implement this new model using the finite element method. For model validation, we used a few examples to demonstrate the application and accuracy of this theory and the companion code.


Author(s):  
J. W. Ju ◽  
H. N. Ruan ◽  
Y. F. Ko

A micromechanical evolutionary damage model is proposed to predict the overall elastoplastic behavior and interfacial damage evolution of fiber-reinforced metal matrix composites. Progressive debonded fibers are replaced by equivalent voids. The effective elastic moduli of three-phase composites, composed of a ductile matrix, randomly located yet unidirectionally aligned circular fibers, and voids, are derived by using a rigorous micromechanical formulation. In order to characterize the overall elastoplastic behavior, an effective yield criterion is derived based on the ensemble-area averaging process and the first-order effects of eigenstrains.


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