Discrete Modeling of Crack Interaction and Localization in Concrete Beams with Multiple Cracks

Abstract

This paper presents a numerical analysis of fracture modes in a plain concrete beam with multiple discrete cracks, focusing on crack interaction and localization. It contains three parts: justification of the strategy used to solve multiple-crack problems using a discrete approach, derivation of the coefficient of interaction, and numerical studies. The coefficient of interaction is defined based on the nodal force components at the tip of a crack, and its usefulness in analyzing various cracking behaviors is demonstrated through numerical studies. Under the given loading conditions, the cracking behavior of the plain concrete beam is shown to depend on the initial configuration of notches and their sizes. It is found that the intensity of crack interaction and its effect on crack localization can vary. As the crack localization progresses, the stress concentration at the dominant crack intensifies, and the crack interaction diminishes quickly.

Betono tempiamojo sustandėjimo modelis atitinkantis euronormų nuostatas

“…Šis modelis leidžia įvertinti tai, kad maksimalūs įtempiai armatūroje bei gniuždomajame betone yra diskrečiųjų plyšių pjūviuose, o tolstant nuo plyšių, įtempiai armatūroje bei gniuždomajame betone mažėja, o tempiamajame betone auga. Diskrečiųjų plyšių modelius taip pat nagrinėjo Marcinkovich, Olsen (2003), Pelessone et al (2003), Shi, Suzuki, Ohtsu (2004). Vienas pagrindinių modelio trūkumų yra tas, kad atsiradus naujiems plyšiams būtina keisti baigtinių elementų tinklą.…”

Experimental and Numerical Investigations on Crack Intersection and Propagation of Concrete Structures

“…Wen et al (2020) proposed a new multi-crack length control method to analyze the propagations of multiple cracks in concrete structures. Shi et al (2004) conducted a numerical simulation analysis on the fracture mode of plain concrete beams with multiple cracks, focusing on the localization degree and interaction between cracks. Pimanmas and Maekawa (2001) studied the influence of crack intersection on the shear performance of reinforced concrete beams, finding that crack intersection has a predominant impact on the shear bearing capacity, displacement-load curve, failure characteristics, and other fracture characteristics of beams.…”