Macro and Micro Analysis of Porous Ductile Materials by Hierarchical Models
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This work deals with the characterization of heterogeneous materials using the concept of Representative Volume Element (RVE) and employing a hierarchical multiscale approach. Numerical analyses of porous ductile materials are performed to understand the homogenized macroscopic properties of these kinds of materials. For this purpose, macroscopic strain states are imposed to the RVE to obtain models expressed by homogenized plastic stress versus plastic strain relationship. The RVEs represent porous microstructures with ductile matrix. A homogenization technique is used in conjunction with von Mises model. Several RVEs formed by different volume fractions of voids and different distributions are presented. A computational homogenization technique proposed in [1] is used to generate numerical models representing the mechanical behavior of the material. The hierarchical multiscale approach [2] is performed using the numerical models generated by the RVE analyses. The hierarchical multiscale approach allows us to simulate the mechanical behavior in macro level presenting low computational cost when compared to full coupled multiscale analyses. The results show the obtained constitutive models for complex materials to be applied in analysis of structures composed of porous materials overcoming the using of complex phenomenological models with many parameters to be identified, making their use in engineering applications unfeasible. REFERENCES [1] J. J. C. Pituba, G. R. Fernandes and E. A. de Souza Neto. Modelling of cohesive fracture and plasticity processes in composite microstructures. Journal of Engineering Mechanics, Vol. 142, n. 10, 04016069, 2016. [2] S. Toro. Modeling of materials failure using multiscale formulations. National University of Litoral. PhD Thesis, 2013.
