Tension-Compression Damage Model with Consistent Crack Bandwidths for Concrete Materials

Abstract

This paper proposes a tension-compression damage model for concrete materials, formulated within the framework of thermodynamics of irreversible processes. The aim of this work is to solve the following problems: the premature divergence of numerical solutions under general loading conditions due to the conflict of tensile and compressive damage bounding surfaces, which is a result of the application of the spectral decomposition method to distinguish tension and compression, and the unsatisfactory reproduction of distinct tension-compression behaviors of concrete by strain-driven damage models. The former is solved by the sign of the volumetric deformation, while the latter is solved via two separated dissipation mechanisms. Moreover, of specific interest is an improved solution to the problem of mesh-size dependency using consistent crack bandwidths, which takes into account situations with irregular meshes and arbitrary crack directions in the context of the crack band approach. The performance of the model is validated by the well-documented experimental data. The simplicity and the explicit integration of the constitutive equations render the model well suitable for large-scale computations.

A consistent crack bandwidth for higher-order beam theories: Application to concrete

“…The general idea is to select eight nodal points around the target point to create an eight-point volume element. After that, extending the projection method of He et al (2019) in three dimensional and the corresponding crack bandwidth can be computed based on the projection method of He et al (2019).…”

“…Inspired by the previous studies, He et al. (2019) developed an improved method based on projecting elements onto the direction normal to the crack direction: …”

“…Both of these methods take into account the dimensions, shape, and orientation of the element and the crack. Building on these earlier works, He et al (2019) developed an improved method that calculates the crack bandwidth as the distance between the most distant edge middle points in the crack direction, capable of computing both compressive and tensile crack bandwidths. However, these methods are only applicable to linear finite elements and standard Gauss quadrature.…”

Numerical Simulation of Mesodamage Behavior of Concrete Based on Material Point Method

“…Since the mesoscale study of concrete mechanical behaviors can obtain a more fundamental understanding of concrete damage and failure mechanisms and provide a deep insight into macroscopic mechanical behaviors, it has become a hot research area of concrete material and achieved fruitful results. Up to date, the finite element method (FEM), which helps many researchers to simulate the effects of multiphase distribution on the mechanical response and damage properties of concrete [5][6][7][8][9][10][11][12][13][14][15][16][17][18], is still being a dominant method to model different behaviors of concrete at macro-and mesoscales. However, with the development of computing technology and numerical methods, more and more approaches are being employed to explain the damage mechanism of concrete structure [19][20][21][22][23][24][25].…”

Evaluación de los anchos de banda de agrietamiento recomendados en la literatura para el modelado de elementos de concreto con modelos continuos

“…Concluyeron que esto se debe a que la formulación de la energía de fractura es con respecto al desplazamiento de fractura, mientras que en el resto del modelo se utilizan las deformaciones (desplazamientos) totales. Otros modelos de daño [Jirásek (2011), He et al (2019)] contemplan el desplazamiento elástico al establecer la energía de fractura. Debido a esto, en el modelo de daño DTC la energía elástica, denotada como We, se atora, pues las zonas fuera de la zona de agrietamiento no se recuperan durante el proceso de fractura.…”