Structural size effect in concrete using a micromorphic stress-based localizing gradient damage model

Negi, Alok; Singh, Umed; Kumar, Sachin

doi:10.1016/j.engfracmech.2020.107511

Cited by 21 publications

(8 citation statements)

References 61 publications

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“…Further work need then to be done to complement this model. As mentioned in the introduction, in future research, it is necessary to combine the bimodulus creep damage constitutive model presented in this paper with some non-local models, such as gradient-enhanced approach (Challamel and Hellesland, 2013;Kiefer et al, 2018;Seupel and Kuna, 2019;Wu et al, 2014), micromorphic approach (Forest, 2009;Negi et al, 2021;Nguyen et al, 2020;Poggenpohl et al, 2021) or phase field approach (Ambati et al, 2015;Liu et al, 2021;Mozaffari and Voyiadjis, 2016), to guarantee the solution unicity.…”

Section: Discussionmentioning

confidence: 99%

“…The mesh size should be analyzed in the practical application of the above models. Some non-local continuum models have been proposed to yield mesh-objective solution and guarantee the solution unicity, such as gradientenhanced approach (Challamel and Hellesland, 2013;Kiefer et al, 2018;Seupel and Kuna, 2019;Wu et al, 2014), micromorphic approach (Forest, 2009;Negi et al, 2021;Nguyen et al, 2020;Poggenpohl et al, 2021) and phase field approach (Ambati et al, 2015;Liu et al, 2021;Mozaffari and Voyiadjis, 2016).…”

Section: Introductionmentioning

confidence: 99%

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Creep damage model considering unilateral effect based on bimodulus theory

Guo

Liu

et al. 2021

International Journal of Damage Mechanics

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Based on the continuous damage mechanics (CDM) theory, Ambartsumyan bimodulus theory and creep damage theory, a bimodulus creep damage constitutive model is proposed in this paper. The model is able to describe the damage-induced unilateral behaviour related to the microdefect closure effect. The unilateral behaviour is considered a special bimodulus property. By judging the tension or compression state in bimodulus theory, different elasticity properties matrixes are selected according to signs of principal stresses. Then, an elasticity properties matrix is linearly converted to a general stress space. The model effectively solves the difficulty of determining tension or compression in complex stress states when the unilateral effect of damage is considered in the analysis of actual structures. The tangent elasticity matrix is used to improve the convergence of the proposed algorithm. In this study, a numerical simulation of the proposed model is achieved by writing subroutines in the FORTRAN language. A numerical example of a hole-in-plate structure under uniaxial stress is analysed. By comparing the results with those obtained by the traditional model, which does not consider the unilateral effect of damage, it is demonstrated that the proposed model is capable of describing the damage-induced unilateral behaviour related to microcracked closure effects. The numerical example validates the effectiveness and realizability of the proposed model.

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Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Creep damage model considering unilateral effect based on bimodulus theory

Guo

Liu

et al. 2021

International Journal of Damage Mechanics

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“…The localizing gradient enhancement was shown to work well for different problems, e.g. quasi-static fracture of quasi-brittle materials (Castillo et al., 2021; Sarkar et al., 2019; Shedbale et al., 2021; Tong et al., 2021b), size effects in quasi-brittle fracture (Negi et al., 2021; Zhang et al., 2021), thermo-mechanical fracture (Sarkar et al., 2020), continuous-discontinuous modelling (Sarkar et al., 2021), dynamic fracture (Wang et al., 2019) and ductile fracture (Xu et al., 2020; Xu and Poh, 2019).…”

Section: Introductionmentioning

confidence: 99%

A simple implementation of localizing gradient damage model in Abaqus

Zhang

Wang

et al. 2022

International Journal of Damage Mechanics

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With the localizing gradient enhancement, a damage model for quasi-brittle materials is able to achieve regularized softening responses, with localized damage profiles corresponding to the development of macroscopic cracks, to resolve the numerical spurious effects induced by the conventional gradient enhancement. The typical implementation strategy for a gradient enhanced model is to solve the system of governing equations simultaneously. Focusing on the finite element (FE) package Abaqus, a user element subroutine is required to define the finite elements with additional degrees of freedom for the nonlocal field. Moreover, with user elements, additional effort is required to visualize the numerical results. To an inexperienced engineer/researcher, these requirements can be challenging. In this paper, a simple implementation of the localizing gradient damage model is elaborated. By utilizing the in-built coupled thermo-mechanical elements in Abaqus, the user only needs to define the material constitutive laws, as well as the sensitivity terms with respect to the field variables. Post-processing of results can be done directly in Abaqus. The applicability and ease of implementation are demonstrated via several examples, including those that utilize the Abaqus features of element deletion, contact between surfaces, as well as the incorporation of cohesive elements. Sample files can be downloaded from https://github.com/leonghien/Localizing-Gradient-Damage-with-UMAT-UMATHT

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“…The analysis of the energy dissipation during the loading process for the CGD and LGD models was highlighted there. The size effect can also be predicted using the stress-based LGD model (Negi et al, 2021).…”

Section: Introductionmentioning

confidence: 99%

Ability of localizing gradient damage to determine size effect in concrete beams

Wosatko,

Pamin,

Winnicki

2024

Journal of Theoretical and Applied Mechanics

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The objective of the paper is to demonstrate the potential of the localizing gradient damage model in size effect simulations. Three different gradient activity functions for variable internal length scale are considered. Numerical simulations for an unnotched beam under three-point bending are referred to the experiment performed by Grégoire et al. (2013). A confrontation with the conventional gradient damage model as well as mesh sensitivity studies are also presented. It is proved that the localizing gradient damage model with different variants of the gradient activity function can reproduce the size effect quite reasonably.

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Structural size effect in concrete using a micromorphic stress-based localizing gradient damage model

Cited by 21 publications

References 61 publications

Creep damage model considering unilateral effect based on bimodulus theory

Creep damage model considering unilateral effect based on bimodulus theory

A simple implementation of localizing gradient damage model in Abaqus

Ability of localizing gradient damage to determine size effect in concrete beams

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