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Non-linear computational homogenization experiments

Stavroulakis Georgios, Giannis Konstantinos, Drosopoulos Georgios, Stavroulaki Maria

Πλήρης Εγγραφή

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Περίληψη

Numerical homogenization is based on the usage of finite elements for the description of average properties of materials with heterogeneous microstructure. The practical steps of the method and representative examples related to masonry structures are presented in this paper. The non-linear Representative Volume Element (RVE) of the masonry is created and solved within COMSOL Multiphysics. Parametric analysis has been chosen and used for the description of the loading. Thus, several RVE models with gradually increasing loading are solved. Results concerning the average stress and strain in the RVE domain are then calculated, by using the subdomain integration of COMSOL. In addition, the tangent stiffness is estimated for each loading path and loading level. Finally, two databases for the tangent stiffness and the stress are created, metamodels based on MATLAB interpolation are used, and an overall non-linear homogenization procedure of masonry macroscopic structures, in a FEM2 approach, is considered. Results are compared with direct heterogeneous macro models.

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