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Non-local computational homogenization of periodic masonry

Bacigalupo, Andrea and Gambarotta, Luigi Non-local computational homogenization of periodic masonry. International Journal for Multiscale Computational Engineering, 9 (5). pp. 565-578. ISSN 1543-1649 (2011)

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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.

Item Type: Article
Identification Number: 10.1615/IntJMultCompEng.2011002017
Uncontrolled Keywords: computational homogenization, micro-polar continuum, second-order continuum, periodic micro-structure, masonry, characteristic length, boundary shear layer
Subjects: T Technology > TJ Mechanical engineering and machinery
Research Area: Computer Science and Applications
Depositing User: Ms T. Iannizzi
Date Deposited: 20 Jan 2015 15:18
Last Modified: 20 Jan 2015 15:18
URI: http://eprints.imtlucca.it/id/eprint/2532

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