TY - JOUR ID - eprints2532 EP - 578 SN - 1543-1649 N2 - Micro-polar and second-order homogenization procedures for periodic elastic masonry have been implemented to include geometric and material length scales in the constitutive equation. From the evaluation of the numerical response of the unit cell representative of the masonry to properly prescribed displacement boundary conditions related to homogeneous macro-strain fields, the elastic moduli of the higher-order continua are obtained on the basis of an extended Hill-Mandel macro-homogeneity condition. Elastic moduli and internal lengths for the running bond masonry are obtained in the case of Cosserat and second-order homogenization. To evaluate these results, a shear layer problem representative of a masonry wall subjected to a uniform horizontal displacement at points on the top is analyzed as a micro-polar and a second-order continuum and the results are compared to those corresponding with the reference heterogeneous model. From this analysis the second-order homogenization appears to provide better results in comparison with the micro-polar homogenization. KW - computational homogenization KW - micro-polar continuum KW - second-order continuum KW - periodic micro-structure KW - masonry KW - characteristic length KW - boundary shear layer TI - Non-local computational homogenization of periodic masonry AV - none UR - http://dx.doi.org/10.1615/IntJMultCompEng.2011002017 VL - 9 PB - Begell House A1 - Bacigalupo, Andrea A1 - Gambarotta, Luigi SP - 565 Y1 - 2011/// JF - International Journal for Multiscale Computational Engineering IS - 5 ER -