Mathematical modeling of materially nonlinear problems in structural analyses, Part II: Application in contemporary software

Abstract

Abstract. The paper presents application of nonlinear material models in

Punching Behaviour of Reinforced Concrete Footings at Testing and According to Eurocode 2 and fib Model Code 2010

“…Concentrated load often causes high shear stresses in the loading zone, which may lead to the nonductile, sudden and brittle punching failure that was widely investigated at different kinds of structures, and especially at punching of flat slabs (Belletti et al 2015a;Bonić et al 2010;Brooms 2005; Fédération Internationale du Béton (fib) 2010; Hallgren and Bjerke 2002;Hallgren et al 1998;Halvonik et al 2016;Hegger et al 2006Hegger et al , 2007Hegger et al , 2009Husain et al 2017;Kabir et al 2016;Kee and Nam 2015;Kumer and Hoque 2015;Menetrey 2002;Muttoni and Schwartz 1991;Muttoni 2008;Muttoni andFernández 2008, 2012;Olson (1989Olson ( /2003 ;Pbdrby 1967;Simões et al 2016a, b;Talbot 1913;Timm 2003;Urban et al 2013;Vacev et al 2015). There are several models of punching of slabs and footings and calculation methods but none of them was generally accepted, so there exist significant differences regarding the determination of the position of the critical control perimeter in which the control of the of punching should be conducted, as well as regarding the quantification of the influences of the main parameters that affect the punching.…”

3D-Computer Modelling of Contact Interaction between Spherical Indenter and Elastic-Plastic Body

“…The elastic-plastic state parameters are usually analyzed by the following widely spread analytical strength criteria: Mohr-Coulomb, Drucker-Prager, Lade-Duncan, Matsuoka-Nakai et al [3]. The Mohr-Coulomb criterion is widely used for the description of a limited-stress state of granular and coherent medium because of the model simplicity and acceptable accuracy of results.…”

“…They were obtained using package LS-DYNA presents and showed good agreement between the simulation based on the model Drucker-Prager and seminatural experiment. The article [3] shows the frame structure-soil interaction results obtained by calculations based on the Drucker-Prager model and experimental data. The comparison of the results showed that the Drucker-Prager model allows to describe the soil behavior with a high degree of accuracy.…”

Redistribution effects in linear elastic analyses of continuous composite steel-concrete beams according to Eurocode 4

“…Behavior of composite girders, generally, is highly nonlinear because of nonlinear behavior of each structural part: steel section, reinforced concrete slab and shear connectors. As a consequence, the analysis of composite structures is complex and requires the nonlinear analysis and appropriate computer software [5][6][7][8][9][10]. However, in order to simplify the design, contemporary design codes, such as Eurocode 4 [11] (EC4), are still mainly based on linear-elastic analysis with some modifications in order to take into account the present nonlinearities [4,11,12].…”