Experimental analysis and mathematical modeling of fracture in RC elements with any aspect ratio

Abstract

In this paper, it is proposed a new model of the behavior of elements of arbitrary aspect ratio.The model allows for the analysis of large and complex structures and it is based on concepts of classic fracture mechanics and continuum damage mechanics. The model considers independent variables that measure the degree of shear and flexural damage separately. This paper also presents an experimental analysis of the behavior of RC elements with the use of digital image correlation technique which allows for the classification and quantification of the different failure mechanisms in a much better way than the classic procedures.

On the identification of cohesive zone model for curved crack in mortar

“…Digital image correlation (DIC 12 ) may be applied to monitor crack propagation tests measuring displacement fields that ensure experimental insight into the fracture wake zone (i.e., localized damage) that would not be possible using common extensometry 13‐15 . DIC measurements can be used as inputs to FE analyses for identification purposes 16 and also for validating their predictions 17 .…”

On the lumped damage modelling of reinforced concrete beams and arches

“…LDM was firstly formulated for reinforced concrete structures under seismic loads [21][22][23]. Afterwards, LDM was rapidly expanded for other reinforced concrete structures [24][25][26][27][28][29][30][31][32], as well as steel frames [33][34][35][36], plain concrete tunnel linings [37] and masonry arches [37][38]. Note that LDM models present objective solutions [39][40][41].…”

“…The plastic rotation evolution is accounted for a kinematic plastic law. Note that the evolution laws for damage and plastic rotation on the referred papers [21][22][23][24][25][26][27][28][29][30][31][32] and the references therein varies due to the purpose of each study and the applications per se. Perdomo et al [23] proposed evolution laws that the model parameters can be easily associated to classic reinforced concrete theory.…”

Fadiga de pórticos planos via mecânica do dano concentrado considerando incertezas

“…Uma abordagem alternativa para descrever o problema é a Mecânica do Dano Contínuo (Continuum Damage Mechanics ou CDM). Desde o trabalho pioneiro de Kachanov (1958), a teoria da CDM tem-se tornado um dos campos mais ativos na mecânica dos sólidos (por exemplo, Kachanov, 1986, Lemaitre e Chaboche, 1988, Lemaitre, 1996, Krajcinovic e Lemaitre, 1996 (FLÓREZ-LÓPEZ, 1995;CIPOLLINA et al, 1995;FEBRES et al, 2003), dano por cisalhamento (PERDOMO et al, 2013) (CIPOLLINA et al, 1995;FLÓREZ-LÓPEZ, 1995;FEBRES et al, 2003;AMORIM et al, 2013;FLÓREZ-LÓPEZ et al, 2014 A energia total em um sólido elástico é agora definida como a soma da energia de deformação ( ) mais a energia potencial ( ):…”

“…Os exemplos apresentados consideraram estruturas com elementos retos e com dano devido ao momento fletor. EmPerdomo et al (2013), estudam-se estruturas em que há dano devido ao esforço cortante. EmAmorim et al (2014), considera-se o caso de estruturas com elementos curvos.…”