Open AccessDetermination of the Deformed Shape of a Masonry Wall Exposed to Fire Loading by a Homogenization Method
Author(s) -
Élodie Donval,
Duc Toan Pham,
Ghazi Hassen,
Patrick de Buhan,
Didier Pallix
Publication year - 2021
Publication title -
iop conference series. materials science and engineering
Language(s) - English
Resource type - Journals
eISSN - 1757-899X
pISSN - 1757-8981
DOI - 10.1088/1757-899x/1203/3/032076
Subject(s) - homogenization (climate) , masonry , materials science , structural engineering , composite material , stiffness , thermal , mortar , homogeneous , mathematics , engineering , physics , biodiversity , ecology , combinatorics , meteorology , biology
The present contribution shows how it is possible to determine the homogenized thermo-elastic characteristics of a natural stone masonry wall, taking into account the material properties of stone and mortar as functions of temperature increase, as well as the geometrical characteristics of their assembly. Joints are incorporated in the analysis through a numerical homogenization procedure. As a result, membrane and bending stiffness coefficients, as well as thermal-induced efforts, of an equivalent plate are obtained. Such homogenized thermomechanical characteristics make it possible to determine the deformed shape of the wall after a certain time of fire exposure. As an example, the calculation procedure is performed on a particular configuration of infinitely wide wall, illustrating the influence of the joints on its thermal deformed shape. To assess the practical validity of this homogenization-based calculation procedure, results of the numerical homogenized model (incorporating joints) are compared to those of a homogeneous model (without joints), and to available experimental results obtained on a 3 m-high, 3 m-wide wall exposed to fire loading.