Fracture energy based bi-dissipative damage model for concrete

Comi, Claudia; Perego, U.

doi:10.1016/s0020-7683(01)00066-x

Cited by 197 publications

(162 citation statements)

References 37 publications

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“…The scalar damage constitutive function w(α) can be interpreted as the density of the energy dissipated by the material during a homogeneous damage process (such that α (x) = 0), where the damage variable of the material point grows from 0 to α; w 1 = w(1) represents the specific fracture energy [27]. Accordingly, we assume w(α) to be sufficiently smooth and to verify the following requirements:…”

Section: State Variables and Basic Energetic Quantitiesmentioning

confidence: 99%

“…To get a better approximation of the optimal damage profile, the mesh size h must be smaller than the internal length (at least h ≤ /4), see [23], rapidly leading to the need of large scale computations in 2D and 3D settings. Although (27) is non convex, it is convex with respect to each variable individually. Therefore, we alternate minimizations with respect to u, p and α, as described in Algorithms 1-2.…”

Section: Numerical Solution Algorithmmentioning

confidence: 99%

“…Clearly, the damage profile is still symmetric with respect to the centerx but its derivative is not anymore continuous. A jump α occurs inx and its value, according to (A.8), reads 27) from which one deduces, with the singular plastic yield condition (A.3), the coefficient (19) of the accumulated plastic strain Dirac measurē…”

Section: Appendixa1 E-d-* Casementioning

confidence: 99%

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Coupling damage and plasticity for a phase-field regularisation of brittle, cohesive and ductile fracture: One-dimensional examples

Alessi

Marigo

Maurini

et al. 2018

International Journal of Mechanical Sciences

107

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Plasticity and damage are two fundamental phenomena in nonlinear solid mechanics associated to the development of inelastic deformations and the reduction of the material stiffness. Alessi et al. [4] have recently shown, through a variational framework, that coupling a gradient-damage model with plasticity can lead to macroscopic behaviours assimilable to ductile and cohesive fracture. Here, we further expand this approach considering specific constitutive functions frequently used in phase-field models of brittle fracture. A numerical solution technique of the coupled elastodamage-plasticity problem, based on an alternate minimisation algorithm, is proposed and tested against semi-analytical results. Considering a one-dimensional traction test, we illustrate the properties of four different regimes obtained by a suitable tuning of few key constitutive parameters. Namely, depending on the relative yield stresses and softening behaviours of the plasticity and the damage criteria, we obtain macroscopic responses assimilable to (i) brittle fracturè a la Griffith, (ii) cohesive fractures of the Barenblatt or Dugdale type, and (iii) a sort of cohesive fracture including a depinning energy contribution. The comparisons between numerical and analytical results prove the accuracy of the proposed numerical approaches in the considered quasi-static time-discrete setting, but they also emphasise some subtle issues occurring during time-discontinuous evolutions.

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Section: State Variables and Basic Energetic Quantitiesmentioning

confidence: 99%

Section: Numerical Solution Algorithmmentioning

confidence: 99%

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Coupling damage and plasticity for a phase-field regularisation of brittle, cohesive and ductile fracture: One-dimensional examples

Alessi

Marigo

Maurini

et al. 2018

International Journal of Mechanical Sciences

107

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“…The Continuum Damage Mechanics models describe the evolution of the mechanical properties of the continuum as cracking develops. This type of constitutive models are able to describe, with a continuum approach, some of the material properties observed in experiments, such as global softening, stiffness degradation, anisotropy and development of inelastic deformations [43,27,23,18,10].…”

Section: Non-local Damage Modelmentioning

confidence: 99%

“…in the works of [25,11,12]. The second model (Model 2) considers two independent damage variables and was introduced by Comi and Perego in [9,10,7]. In both models, plastic strains are neglected.…”

Section: Non-local Damage Modelmentioning

confidence: 99%

Continuum damage models with non-conventional finite element formulations

Silva¹,

Castro²

2010

International Journal of Non-Linear Mechanics

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In recent years, some research effort has been devoted to the development of nonconventional finite element models for the analysis of concrete structures. These models use continuum damage mechanics to represent the physically non-linear behavior of this quasi-brittle material. Two alternative approaches proved to be robust and computationally competitive when compared with the classical displacement finite element implementations. The first corresponds to the hybrid-mixed stress model where both the effective stress and the the displacement fields are independently modeled in the domain of each finite element and the displacements are approximated along the static boundary, which is considered to include the interelement edges. The second approach corresponds to a hybrid displacement model. In this case, the displacements in the domain of each element and the tractions along the kinematic boundary are independently approximated. Since it is a displacement model, the inter-element boundaries are now included in the kinematic boundary. In both models, complete sets of orthonormal Legendre polynomials are used to define all approximations required so very effective p-refinement procedures can be implemented. This paper illustrates the numerical performance of these two alternative approaches and compares their efficiency and accuracy with the classical finite element models. For this purpose, a set of numerical tests is presented and discussed.Key words: hybrid and mixed finite element formulations, non-local damage models, Legendre polynomials * email:luis@civil.ist.utl.pt,phone:+351+218418253 * * email:cmsilva@civil.ist.utl.pt,phone:+351+218418356 Preprint submitted to Elsevier ScienceA c c e p t e d m a n u s c r i p t

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Research Progress on Numerical Models for Self‐Healing Cementitious Materials

Jefferson

Javierre

Freeman

et al. 2018

Adv Materials Inter

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In this paper, research progress on numerical models for self‐healing cementitious materials (SHCMs) is discussed. Models developed specifically for SHCMs, as well as other relevant work, are considered. A summary of current self‐healing (SH) techniques is provided along with descriptions of the processes that govern their behavior. Models for mechanical self‐healing, transport processes in materials with embedded healing systems, fully coupled models, and other modeling techniques used to simulate SH behavior are discussed. The mechanics models discussed include those based on continuum–damage–healing mechanics (CDHM), micromechanics, as well as models that use discrete elements and particle methods. A considerable section is devoted to the simulation of carbonation in concrete since the essential mechanisms that govern this process are applicable to SH systems that employ calcite as a healing material. A number of transport models for simulating early‐age self‐healing are also considered. This highlights the fact that there are currently very few papers that describe fully coupled models, although a number of approaches that couple some aspects of transport and mechanical healing behavior are discussed. This article closes with a discussion that highlights the fact that many models are presented with limited or no experimental validation.

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Fracture energy based bi-dissipative damage model for concrete

Cited by 197 publications

References 37 publications

Coupling damage and plasticity for a phase-field regularisation of brittle, cohesive and ductile fracture: One-dimensional examples

Coupling damage and plasticity for a phase-field regularisation of brittle, cohesive and ductile fracture: One-dimensional examples

Continuum damage models with non-conventional finite element formulations

Research Progress on Numerical Models for Self‐Healing Cementitious Materials

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