P-Bézier energy optimisation for elastic solutions of masonry-like panels
by Antonio Fortunato; Antonio Gesualdo; Ida Mascolo; Michela Monaco
International Journal of Masonry Research and Innovation (IJMRI), Vol. 7, No. 1/2, 2022

Abstract: The equilibrium problem for masonry-like materials in the Heyman sense can be formulated looking for a minimum of the complementary energy functional defined in the field of admissible stress tensors, belonging to the class of negative semi-definite tensors. The classical mixed boundary problem for a masonry panel is developed assuming that the stress is uniaxial so it is possible to express the complementary energy as a function of the slope of compressive rays which characterise the uniaxiality of the stress field. In this work, a family of proximity curves defined starting from a Bézier curve with three control points to model the slope function is employed. Two structural cases are solved, pure shear displacements and shear-flexural-tensile ones, showing the usefulness of the method when applied to the analysis of masonry piers.

Online publication date: Wed, 22-Dec-2021

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