engleski

Boundary Conditions in a Multiscale Homogenization Procedure

This paper is concerned with a second-order multiscale computational homogenization scheme for heterogeneous materials at small strains. A special attention is directed to the macro-micro transition and the application of the generalized periodic boundary conditions on the representative volume element at the microlevel. For discretization at the macrolevel the C1 plane strain triangular finite element based on the strain gradient theory is derived, while the standard C0 quadrilateral finite element is used on the RVE. The implementation of a microfluctuation integral condition has been performed using several numerical integration techniques. Finally, a numerical example of a pure bending problem is given to illustrate the efficiency and accuracy of the proposed multiscale homogenization approach.

heterogeneous materials; multiscale; C1 finite element; second-order computational homogenization; microfluctuations integral condition; generalized periodic boundary conditions

Rad je kao predavanje prezentiran na skupu 12th International Conference on Fracture and Damage Mechanics (FDM 2013) - Advances in Fracture and Damage Mechanics XII, održanom od 17.-19.09.2013., Sardinia, Italija ; ISBN 978-3-03785-830-1.