Isotropic continuum damage mechanics for concrete under cyclic loading: Stiffness recovery, inelastic strains and frictional sliding

Richard, Benjamin; Ragueneau, Frédéric; Crémona, Christian; Adélaïde, Lucas

doi:10.1016/j.engfracmech.2010.02.010

Cited by 86 publications

(70 citation statements)

References 30 publications

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“…• Damage and sliding model (Ricrag concrete model) The Ricrag model was developed by Richard (2010b) to describe the behavior of concrete under seismic loadings. It is a model combining elasticity, isotropic damage and internal sliding.…”

Section: • Standard Damage Model (Mazars Concrete Model)mentioning

confidence: 99%

Static and dynamic FE analysis of an RC protective structure dedicated to snow avalanche mitigation

Ousset

Bertrand

Brun

et al. 2015

Cold Regions Science and Technology

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Section: • Standard Damage Model (Mazars Concrete Model)mentioning

confidence: 99%

Static and dynamic FE analysis of an RC protective structure dedicated to snow avalanche mitigation

Ousset

Bertrand

Brun

et al. 2015

Cold Regions Science and Technology

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“…The global model used in this study has been proposed by Richard and is expressed within the framework of the thermodynamics of irreversible processes. Indeed, the model introduces a state potential that is positive, convex and differentiable with respect to each variable.…”

Section: Description Of the Modelsmentioning

confidence: 99%

“…

Ȳ

is built to separate the effects of direct positive extension (tension) from the effects of induced positive extension (compression). More details can be found in . The flow rules driving the evolution of the damage variable can be expressed according to Equations and :

\begin{matrix} rightalign-odd ḋ & align-even = λ_{d} ̇ \frac{\partial f_{d}}{∂Ȳ} = λ_{d} ̇ & rightalign-label (7) \end{matrix}

\begin{matrix} rightalign-odd ż & align-even = λ_{d} ̇ \frac{\partial f_{d}}{∂Z ̄} = - λ_{d} ̇ & rightalign-label (8) \end{matrix}

where

\overset{λ_{d}}{true}

is the Lagrange multiplier related to damage.…”

Section: Description Of the Modelsmentioning

confidence: 99%

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Non‐intrusive global/local analysis for the study of fine cracking

Oliver-Leblond

Delaplace²,

Richard

2013

Num Anal Meth Geomechanics

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International audienceThe description of damaged zones in large scale structures can nowadays be assessed by means of a finite element approach using an appropriate damage model. Nevertheless, a fine description of cracking (crack pattern, crack length, crack opening, crack tortuosity) is of primary importance to satisfy new requirements in design codes, especially when dealing with structure durability. In this paper, a computational strategy to quantify cracking at structural case is proposed. A continuous damage model is used to perform a full resolution at the global scale. Then, a reanalysis (implemented as a post-treatment) of the damaged zones is performed at the local scale with a discrete element model. A non-intrusive and decoupled numerical scheme allows for a two-scale analysis using each mechanical model (continuous as well as discrete) within its more efficient level. 2D and 3D test cases will be treated to illustrate the non-intrusive global/local analysis

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“…The main constitutive equations are formulated within the framework of the thermodynamics for irreversible process in order to fulfill conservation and evolution principles. A model based on isotropic damage mechanics, accounting for elasticity, damage, sliding between cracked surfaces and hardenings, is used for this study ((Richard et al 2010)). Eq.1 gives the expression of the state potential:…”

Section: Constitutive Equationsmentioning

confidence: 99%

Non-local model and global-local cracking analysis for the study of size effect

Giry¹,

Oliver-Leblond²,

Kishta³

2014

Computational Modelling of Concrete Structures

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The problematic of size effect for quasi-brittle materials and more particularly for concrete has been widely studied during the last decades. Several approaches have been proposed to describe and explain why the strength decreases as the size increases. Indeed, the capacity of a model to describe the size effect matters greatly when dealing with the modelling of structures. A study of size effect is proposed in this article by considering several notched concrete beams submitted to a three points bending test. To describe the nonlinear behavior of concrete, two different nonlocal regularization methods (the original method and a method proposed recently by one of the authors) are compared to analytical model and to experimental results available in the literature in order to assess their capacity to describe size effect at the global scale as well as at the local scale. More particularly, a quantification of the crack field is obtained by using a discrete elements reanalysis method proposed recently by two of the authors. This last analysis brings an additional element to discriminate or not model capacity to describe size effect of quasi-brittle materials.

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Isotropic continuum damage mechanics for concrete under cyclic loading: Stiffness recovery, inelastic strains and frictional sliding

Cited by 86 publications

References 30 publications

Static and dynamic FE analysis of an RC protective structure dedicated to snow avalanche mitigation

Static and dynamic FE analysis of an RC protective structure dedicated to snow avalanche mitigation

Non‐intrusive global/local analysis for the study of fine cracking

Non-local model and global-local cracking analysis for the study of size effect

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