Strength domains and return algorithm for the lumped plasticity equivalent frame model of masonry structures. (15th May 2015)

• Record Type: Journal Article
• Authors: Liberatore, Domenico; Addessi, Daniela
• Is Part Of: Engineering structures. Volume 91(2015:May 15)
• Page Start: 167
• Page End: 181
• Publication Date: 2015-05-15
• Subjects: Masonry macroelement -- Force-based frame element -- Lumped plasticity -- Haar–Kármán principle; Masonry macroelement -- Force-based frame element -- Lumped plasticity -- Haar–Kármán principle; Structural engineering -- Periodicals; Structural analysis (Engineering) -- Periodicals; Construction, Technique de la -- Périodiques; Génie parasismique -- Périodiques; Pression du vent -- Périodiques; Earthquake engineering; Structural engineering; Wind-pressure; Periodicals; 624.105
• DOI: 10.1016/j.engstruct.2015.02.030
• Languages: English
• ISSNs: 0141-0296

Abstract

Highlights: The strength domains at the element level are derived for the lumped plasticity equivalent frame model of masonry structures. The return mapping algorithm of the element is formulated according to the Haar–Kármán principle. The gradient projection method is applied to solve the minimization problem. Numerical applications are presented on masonry panels and a masonry wall, with comparisons with experimental results. Abstract: The equivalent frame model for the assessment of in-plane mechanisms of masonry walls can be suitably based on a 2-node force-based finite element (FE) consisting of a central linear elastic element, two flexural hinges and a shear link with elastic-perfectly plastic behavior. The hinge state is determined by a predictor–corrector method. The predictor calculates the element stress field using the tangent flexibility matrix. The corrector consists of a return algorithm based on the Haar–Kármán principle and the gradient projection method, both leading to good convergence properties and to optimality characteristics of the solution.