Micro-Polar and Second Order Homogenization of Periodic Masonry

Andrea Bacigalupo; Luigi Gambarotta

doi:10.4028/www.scientific.net/MSF.638-642.2561

Paper Titles

Mathematical Modeling of Microstructure Evolution of V Steels during Hot Rolling of Seamless Tubes
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A Model of Discontinuous Dynamic Recrystallization and its Application for Nickel Alloys
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Variational Aspects of the Physically-Based Approach to 3D Non-Local Continuum Mechanics
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Fractal Model for Snow
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Micro-Polar and Second Order Homogenization of Periodic Masonry
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Multiscale CAFE Modelling of Dynamic Recrystallization
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The Microstructure Change during Modeling of Conventional and Thermo-Mechanical Rolling of S355 Steel Bars
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Simulation of Copper Precipitation in Fe-Cu Alloys
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The Analysis of the Process of Asymmetric Rolling of Plates
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HomeMaterials Science ForumMaterials Science Forum Vols. 638-642Micro-Polar and Second Order Homogenization of...

Micro-Polar and Second Order Homogenization of Periodic Masonry

Abstract:

Micro-polar and second order homogenization procedures for periodic elastic masonry are implemented to include geometric and material length scales in the constitutive equation. By the solution of the RVE equilibrium problems with properly prescribed boundary conditions the orthotropic elastic moduli of the higher order continua are obtained on the basis of an enhanced Hill–Mandel condition. A shear layer problem is analysed and the results from the heterogeneous models are compared with those ones obtained by the homogenization procedures; the second-order homogenization appears to provide better results in comparison to the micro-polar homogenization.

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Periodical:

Materials Science Forum (Volumes 638-642)

Pages:

2561-2566

DOI:

https://doi.org/10.4028/www.scientific.net/MSF.638-642.2561

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Online since:

January 2010

Authors:

Andrea Bacigalupo, Luigi Gambarotta

Keywords:

Boundary Layer, Characteristic Length, Non Local Homogenization, Periodic Masonry

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