P-Bézier energy optimisation for elastic solutions of masonry-like panels. (16th December 2021)

• Record Type: Journal Article
• Authors: Fortunato, Antonio; Gesualdo, Antonio; Mascolo, Ida; Monaco, Michela
• Is Part Of: International journal of masonry research and innovation. Volume 7:Number 1/2(2022)
• Page Start: 113
• Page End: 125
• Publication Date: 2021-12-16
• Subjects: masonry panel -- mixed boundary problem -- complementary energy -- energy optimisation -- proximity curves -- P-Bézier curves; Masonry -- Periodicals; Masonry -- Mechanical properties -- Periodicals; Masonry -- Testing -- Periodicals; 620.1305
• Languages: English
• ISSNs: 2056-9459

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.