The macroscopic bending and twisting stiffness coefficients of masonry walls with a regular brick pattern are derived in closed form, according to a Method of Cells-type approach recently proposed to estimate the in-plane macroscopic moduli of brickwork \cite{TAL14}. A Representative Volume Element (RVE) is divided into a few sub-cells, and the microscopic transverse displacement field is discretized by a piecewise-differentiable expression depending on very a limited number of parameters and fulfilling suitable periodicity conditions. By averaging the moment and curvature fields over the RVE, the macroscopic flexural rigidity of the wall can be estimated. Using the FE solution of a masonry panel subjected to elementary load conditions as a benchmark, the proposed approach is found to accurately match the numerically obtained stiffness coefficients, for panels of different geometry and different mechanical properties.

A Method of Cells-type approach for the determination of the macroscopic elastic out-of-plane coefficients of masonry

TALIERCIO, ALBERTO
2015-01-01

Abstract

The macroscopic bending and twisting stiffness coefficients of masonry walls with a regular brick pattern are derived in closed form, according to a Method of Cells-type approach recently proposed to estimate the in-plane macroscopic moduli of brickwork \cite{TAL14}. A Representative Volume Element (RVE) is divided into a few sub-cells, and the microscopic transverse displacement field is discretized by a piecewise-differentiable expression depending on very a limited number of parameters and fulfilling suitable periodicity conditions. By averaging the moment and curvature fields over the RVE, the macroscopic flexural rigidity of the wall can be estimated. Using the FE solution of a masonry panel subjected to elementary load conditions as a benchmark, the proposed approach is found to accurately match the numerically obtained stiffness coefficients, for panels of different geometry and different mechanical properties.
2015
Memorie estese XII Congresso dell’Associazione Italiana di Meccanica Teorica e Applicata Genova
978-88-97752-55-4
masonry, homogenization, transverse loads, Method of Cells
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11311/964168
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