An isotropic damage model based on fracture mechanics for concrete

Kurumatani, Mao; Terada, Kenjiro; Kato, Junji; Kyoya, Takashi; Kashiyama, Kazuo

doi:10.1016/j.engfracmech.2016.01.020

Cited by 104 publications

(58 citation statements)

References 31 publications

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“…The length of a three-dimensional solid element, e h , was determined from the element volume e V using the following equation [8,9]:…”

Section: Comparison With the Experimental Results Of The Self-healing mentioning

confidence: 99%

“…In an isotropic damage model in multidimensional problems, we generally describe the evolution of damage by the equivalent strain, which is a scalar value. In this study, we referred to Kurumatani et al [9], and adopted the modified von-Mises equivalent strain ε eq from the following equation, proposed by de Vree et al [10].…”

Section: Stress-strain Relationmentioning

confidence: 99%

“…In this section, we outline the constitutive model by incorporating the self-healing function into an isotropic damage model. In formulation, the damage process adopted an isotropic damage model based on fracture mechanics [9], and the self-healing process adopted an evolution rule based on the empirical oxidation kinetics equation [7]. For details of the formulation, see Ozaki et al [8].…”

Section: Damage-healing Constitutive Modelmentioning

confidence: 99%

“…The figure also shows the shape of the initial damage region. The degree of damage was homogenized in the initial damage region and was set as The length of a three-dimensional solid element, h e , was determined from the element volume V e using the following equation [8,9]:…”

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confidence: 99%

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Finite Element Analysis of Self-Healing and Damage Processes in Alumina/SiC Composite Ceramics

et al. 2017

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Among various ceramic matrix composites developed, self-healing ceramics have been studied as new functional materials. Self-healing occurs in such materials by high-temperature oxidation triggered by a micro-crack initiation on the surface, and the strength of the material autonomously recovers to its robust state since the micro-crack is re-bonded. To facilitate the use of self-healing ceramics in machines and equipment, a novel numerical simulation method based on finite element analysis (FEA) needs to be applied. In this study, we applied a previously proposed constitutive model to a series of self-healing and damage processes. In the constitutive model, the damage process is formulated on the basis of fracture mechanics, while the self-healing process is formulated on the basis of empirical oxidation kinetics. The FEA model implemented the constitutive model to simulate a series of experiments of the alumina/15 vol% SiC composites. The self-healing process was targeted to a prescribed damage by Vickers indentation. Thereafter, the self-healing behavior was quantitatively compared with that observed in the experiment. The results suggest that the proposed FEA approach can be applied to the analysis of ceramic matrix composites with self-healing properties.

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“…The length of a three-dimensional solid element, e h , was determined from the element volume e V using the following equation [8,9]:…”

Section: Comparison With the Experimental Results Of The Self-healing mentioning

confidence: 99%

Section: Stress-strain Relationmentioning

confidence: 99%

Section: Damage-healing Constitutive Modelmentioning

confidence: 99%

mentioning

confidence: 99%

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Finite Element Analysis of Self-Healing and Damage Processes in Alumina/SiC Composite Ceramics

et al. 2017

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“…In this study, we propose an evaluation method for the scatter of ceramic strength within the framework of FEM. We adopt a damage model incorporating fracture mechanics (i.e., the relationship between the cohesive force and crack opening displacement) . Therefore, the brittle fracture behavior of ceramics can be rationally expressed.…”

Section: Introductionmentioning

confidence: 99%

Finite element analysis of fracture statistics of ceramics: Effects of grain size and pore size distributions

et al. 2018

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A novel numerical simulation method based on finite element analysis (FEA), which can evaluate the fracture probability caused by the characteristics of flaw distribution, is considered an effective tool to facilitate and increase the use of ceramics in components and members. In this study, we propose an FEA methodology to predict the scatter of ceramic strength. Specifically, the data on the microstructure distribution (i.e., relative density, size and aspect ratio of pore, and grain size) are taken as the input values and reflected onto the parameters of a continuum damage model via a fracture mechanical model based on the circumferential circular crack emanating from an oval spherical pore. In addition, we numerically create a Weibull distribution based on multiple FEA results of a three‐point bending test. Its validity is confirmed by a quantitative comparison with the actual test results. The results suggest that the proposed FEA methodology can be applied to the analysis of the fracture probability of ceramics.

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Characterization of Ultra‐High Temperature and Polymorphic Ceramics

Radhi

Behdinan

2021

Advanced Multifunctional Lightweight Aerostructures; Design, Development, and Implementation

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An isotropic damage model based on fracture mechanics for concrete

Cited by 104 publications

References 31 publications

Finite Element Analysis of Self-Healing and Damage Processes in Alumina/SiC Composite Ceramics

Finite Element Analysis of Self-Healing and Damage Processes in Alumina/SiC Composite Ceramics

Finite element analysis of fracture statistics of ceramics: Effects of grain size and pore size distributions

Characterization of Ultra‐High Temperature and Polymorphic Ceramics

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