Continuum damage mechanics based model for quasi brittle materials subjected to cyclic loadings: Formulation, numerical implementation and applications

Richard, Benjamin; Ragueneau, Frédéric

doi:10.1016/j.engfracmech.2012.11.013

Cited by 67 publications

(43 citation statements)

References 39 publications

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“…Some models provide a description of the cyclic behavior (la Borderie et al [11], Halm et al [12], Richard et al [13]). Very few models however are capable of simulating loading with both confinement and strain rate effects (Pontiroli et al [14], Gatuingt et al [15]), though their use often remains complex.…”

Section: Introductionmentioning

confidence: 99%

A new 3D damage model for concrete under monotonic, cyclic and dynamic loadings

2014

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Among the ''theories'' applied to model concrete behavior, damage mechanics has proven to be efficient. One of the first models for concrete introduced into such a framework is Mazars' damage model. A new formulation of this model, called the ''l model'' and based on a coupling of elasticity and damage within an isotropic formulation, is proposed herein for the purpose of 3D cyclic and dynamic loadings. Unilateral behavior (i.e., crack opening and closure) is introduced by use of two internal variables. A threshold surface is then associated with each of these variables. The shape of such surfaces has been chosen to model as accurately as possible concrete behavior under various loadings, i.e., tension, compression, shear, biaxial and triaxial, in the aim of simulating a large number of loading types (monotonic, cyclic, seismic, blast, impact, etc.). Applications of this model are presented on plain or reinforced concrete elements subjected to a range of loadings (e.g., multiaxial, cyclic, dynamic). A comparison with experimental results serves to demonstrate the effectiveness of these various selected options.

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Section: Introductionmentioning

confidence: 99%

A new 3D damage model for concrete under monotonic, cyclic and dynamic loadings

2014

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“…Note nevertheless that (i) the shape of quasi-static post-peak response of concrete obtained from direct tension experiments is still under discussion [33,38], and (ii) in the present and many other approaches the permanent strains due to damage are not modeled. Such a modeling may prove pertinent, it is nevertheless left to further work (see for instance references [27,48,30,49] for permanent strain representation in the pure Continuum Damage Mechanics framework).…”

Section: Modified (Wave) Approachmentioning

confidence: 99%

Nonlocal models with damage-dependent interactions motivated by internal time

Desmorat

Gatuingt

Jirásek

2015

Engineering Fracture Mechanics

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Please cite this article as: Desmorat, R., Gatuingt, F., Jirásek, M., Nonlocal models with damage-dependent interactions motivated by internal time, Engineering Fracture Mechanics (2015), doi: http://dx. AbstractThere are open questions concerning isotropic/anisotropic nonlocal models, as the possible evolution of internal length, as special treatments near boundaries and cracks. First, one makes nonlocal weight kernel function of information/wave propagation time normalized by an internal time and obtains strong localization with a non-spreading damage zone. The limit value of full damage is attained at a single point in 1D. Second, WKB approximation for wave propagation in 3D damaged media define interaction distances as solutions of an eikonal equation. This leads to the interpretation that damage, possibly anisotropic, curves the space in which the interaction distances are calculated.

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“…These values are about 13.4 and 5.8 times higher than the calculated responses from Run 9, respectively. In Run 13, the numerical response does not reflect the high-frequency experimental response well after about 5 s. This difference in response may be due to a gradual error in predicting structural stiffness during numerical analysis [34,35]. Despite the partial difference between the numerical and experimental results, the computed displacement and acceleration appear to capture the general trend of the experimental seismic behavior of the structure.…”

Section: Nonlinear Seismic Response Of the Smart 2013 Rc Structurementioning

confidence: 99%

Seismic Response of a Three-Dimensional Asymmetric Multi-Storey Reinforced Concrete Structure

et al. 2018

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Featured Application: Authors are encouraged to provide a concise description of the specific application or a potential application of the work. This section is not mandatory.Abstract: This study discusses the seismic behavior of a geometrically asymmetric three-storey reinforced concrete (RC) building, considering torsional effect and material nonlinearity. The building is a test structure that was used for seismic performance evaluation in the SMART 2013 (Seismic design and best-estimate Methods Assessment for Reinforced concrete buildings subjected to Torsion and nonlinear effects) international benchmark. To begin with, nonlinear stress-strain relationships that were set up for concrete and reinforcing steel are validated by finite element local tests with a representative volume element. A modal analysis shows that the first three calculated natural frequencies are close to the ones that are obtained by modal experiments. The finite element modeling is further validated by comparing the calculated displacement and acceleration due to a low-intensity ground motion with the responses from the corresponding shaking table test. Using the validated model, a blind nonlinear seismic analysis is performed for a series of Northridge earthquakes in order to estimate the behavior of the asymmetric RC structure to high-intensity ground motions. The calculated displacement and acceleration, as well as their response spectra at various sampling points, agree well with the results of a three-dimensional benchmark shaking table test. By investigating the seismic torsional behavior of the asymmetric RC structure, it is shown that the seismic response of an asymmetric structure is larger than that of a hypothetical symmetric structure. The result indicates that a larger seismic response should be considered in the seismic design of an asymmetric structure compared to a symmetric structure with similar design conditions. Keywords: asymmetric reinforced concrete structure; SMART 2013 international benchmark; finite element model; nonlinear seismic analysis; seismic torsional behavior

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Continuum damage mechanics based model for quasi brittle materials subjected to cyclic loadings: Formulation, numerical implementation and applications

Cited by 67 publications

References 39 publications

A new 3D damage model for concrete under monotonic, cyclic and dynamic loadings

A new 3D damage model for concrete under monotonic, cyclic and dynamic loadings

Nonlocal models with damage-dependent interactions motivated by internal time

Seismic Response of a Three-Dimensional Asymmetric Multi-Storey Reinforced Concrete Structure

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