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Benjamin Richard

Bio: Benjamin Richard is an academic researcher from Institut de radioprotection et de sûreté nucléaire. The author has contributed to research in topics: Finite element method & Earthquake shaking table. The author has an hindex of 5, co-authored 23 publications receiving 84 citations.

Papers
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Journal ArticleDOI
TL;DR: In this article, a series of shaking table tests on a ¼-scale 3-story reinforced concrete model characterized by a strong asymmetry has been carried out in July 2013.

31 citations

Journal ArticleDOI
TL;DR: In this article, an evolving equivalent viscous damping ratio for a simply supported reinforced concrete beam is estimated for a reinforced concrete structure in the scope of a moderate seismicity context for which steel yielding is not expected.

16 citations

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TL;DR: In this paper, path-following methods are discussed within the framework of the Embedded Finite Element Method (E-FEM), thanks to the enhanced kinematic description provided by the E-FEMS, and it is possible to formulate constraint equations where the prescribed quantities are directly related to the dissipative process occurring at the strong discontinuity level.

12 citations

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TL;DR: A new class of anisotropic damage models is proposed characterized by its capabilities to describe non linear progressive stiffness recovery with the possibility to introduce permanent strains.

11 citations

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TL;DR: In this paper, the authors address the issue of fine-cracking representation and the formulation of an enhanced anisotropic model to capture the failure of reinforced concrete specimens using a damage-based constitutive law accounting for particular crack families orientation.

7 citations


Cited by
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01 Jan 2002
TL;DR: In this paper, the effect of material microstructure on crack growth and force-deformation behavior under uniaxial tension has been investigated in an extensive numerical study, and the results indicate that strength contrast is more important than stiffness contrast, and that global behaviour is largely governed by percolation of the weakest material phase.
Abstract: Abstract The effect of material microstructure on crack growth and force–deformation behaviour under uniaxial tension has been investigated in an extensive numerical study. A simple beam lattice model has been used to estimate the effect of strength and stiffness contrast, and particle density in a three-phase particle composite as found in concrete. The results from these explicit three-phase analyses have been compared to the outcome of simulations where the effects of microstructure were mimicked by assigning random strength values drawn from a Weibull or Gauss distribution to a regular triangular lattice. The results indicate that strength contrast is more important than stiffness contrast, and that global behaviour is largely governed by percolation of the weakest material phase. This behaviour was obvious from the three-phase analyses. The results from the different Weibull simulations resemble the mode of failure observed in the more realistic three-phase particle overlay. Bridging is a salient phenomenon observed in these analyses. In contrast the (symmetric) Gauss distribution is not appropriate. Although a large variety in force–deformation diagrams can be simulated, depending on the two parameters in the Gauss distribution and the lattice geometry, the failure mode along a single straight crack does not resemble the real fracture behaviour of three-phase composites like concrete. It is not recommended to use statistical strength distributions for simulating the behaviour of three-phase particle composites. Furthermore, the results clearly indicate that the force–deformation diagram cannot be used as a single indicator for judging the accuracy of a model for the fracture behaviour of materials. The crack mechanisms and the ensuing crack patterns are considered a salient element in such judgements. The model simulations can be applied as a guideline to design real three-phase composites. In particular optimization of tensile strength of the composite by selecting the correct amount of particles seems possible.

157 citations

Journal ArticleDOI
TL;DR: In this article, a self-propagating Strong Discontinuity Embedded Approach (SDA) for quasi-brittle fracture is presented, which is based on the Statically Optimal Symmetric formulation (SOS) of the SDA using the 8-node quadrilateral element.

151 citations

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TL;DR: In this article, different fragility analysis methods are described and their advantages and disadvantages are discussed: (i) the safety factor method, in which the fragility curve is estimated based on safety margins with respect on an existing deterministic design; (ii) regression analysis or (iii) maximum likelihood estimation from a set of nonlinear time history analysis at different seismic levels; (iv) the incremental dynamic analysis method where the set of accelerograms is scaled until failure.

65 citations

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TL;DR: In this article, a time dependent softening-healing law for selfhealing quasi-brittle materials is presented by introducing limited material parameters with clear physical background, and the Strong Discontinuity embedded Approach (SDA) is adopted for evaluating the reliability of the model.

38 citations