engleski

Numerical analysis of Heterogeneous Engineering Materials

A heterogeneous material such as nodular cast iron is widely used as a material of engineering structural components. The realistic description of its deformation responses demands an accurate modelling at both macroscopic and microscopic scales. In this paper a two-scale computational approach employing the homogenization scheme based on the small strain nonlocal continuum theory is presented. Discretization at both scales is performed by means of the C1 continuity finite element developed using the strain gradient theory. After the scale transition procedure, and the homogenization approach at the microlevel, the constitutive relations are computed at each material point at the macroscale predicting the structural deformation response. All algorithms derived have been embedded into the finite element program ABAQUS. The performance and accuracy of the proposed approach has been verified in an example, where the microstructure of a nodular cast iron is modelled by an academic representative volume element.

heterogeneous materials, second-order homogenization, C1 finite element, nonlocal continuum theory

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