Lateral strength force of URM structures based on a constitutive model for interface element

Abstract

This paper presents the numerical implementation of a new proposed interface model for modeling the behavior of mortar joints in masonry walls. Its theoretical framework is fully based on the plasticity theory. The Von Mises criterion is used to simulate the behavior of brick and stone units. The interface laws for contact elements are formulated to simulate the softening behavior of mortar joints under tensile stress; a normal linear cap model is also used to limit compressive stress. The numerical predictions based on the proposed model for the behavior of interface elements correlate very highly with test data. A new explicit formula based on results of proposed interface model is also presented to estimate the strength of unreinforced masonry structures. The closed form solution predicts the ultimate lateral load of unreinforced masonry walls less error percentage than ATC and FEMA-307. Consequently, the proposed closed form solution can be used satisfactorily to analyze unreinforced masonry structures.

Finite element nonlinear analysis of high-rise unreinforced masonry building

“…Figure 2 a) compressive effective width of the wall and b) principal stress on infinitesimal element [1] of Eq. (1) analyze URM structures using macro-elements.…”

“…The research results discussed above that are related to macro-modeling processes show 105 considerable differences between different methods of macro-modeling in comparison with test 106 data [31]. Therefore, in this investigation, the closed-form solution by Akhaveissy [1] is ex-107 tended to allow implementation in a macro-element approach using two-noded linear elements 108 in a finite element framework. The analysis time is decreased in comparison with analyses 109 performed using the micro-element approach and the finite element method, which use solid 110 elements and shell elements.…”

“…The closed form solution to determine the resistance lateral force of unreinforced masonry wall 114 is based on the effective width of the wall in compression [1]. The effective width of unreinforced 115 masonry wall is in terms of the height-to-width ratio of the wall.…”

“…The effective width of unreinforced 115 masonry wall is in terms of the height-to-width ratio of the wall. The width of the compressive 116 diagonal is proposed as a coefficient of the length of the diagonal [1]. This coefficient is shown 117 by F w .…”

“…The mesh for the west wall contained 720 eight-node isoparametric elements and 2527 nodes; for the analysis were equal to 0.078 MPa and 31.9 degree, respectively [1]. The wall is chosen 194 to show capability of the proposed algorithm in Table 1 and 2.…”