Kumar, N and Lambadi, H and Pandey, M and Amirtham, Rajagopal
(2016)
Homogenization of Periodic Masonry using Self-Consistent Scheme and Finite Element Method.
International Journal for Computational Methods in Engineering Science and Mechanics, 17 (1).
pp. 7-21.
ISSN 1550-2287
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Abstract
Masonry is a heterogeneous anisotropic continuum, made up of the brick and mortar arranged in a periodic manner. Obtaining the effective elastic stiffness of the masonry structures has been a challenging task. In this study, the homogenization theory for periodic media is implemented in a very generic manner to derive the anisotropic global behaviour of the masonry, through rigorous application of the homogenization theory in one step and through a full three dimensional behavior. We have considered the periodic Eshelby self-consistent method and the finite element method. Two representative unit cells that represent the microstructure of the masonry wall exactly are considered for calibration and numerical application of the theory.
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