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Jacques Besson

Bio: Jacques Besson is an academic researcher from Mines ParisTech. The author has contributed to research in topics: Creep & Fracture mechanics. The author has an hindex of 50, co-authored 250 publications receiving 7947 citations. Previous affiliations of Jacques Besson include École Normale Supérieure & Centre national de la recherche scientifique.


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Jacques Besson1
TL;DR: In this paper, the authors present a review of the material constitutive equations and computational tools which have been recently developed to simulate ductile rupture and fracture, which are used in structural computations.
Abstract: The past 20 years have seen substantial work on the modeling of ductile damage and fracture. Several factors explain this interest. (i) There is a growing demand to provide tools which allow to increase the efficiency of structures (reduce weight, increase service temperature or load, etc.) while keeping or increasing safety. This goal is indeed first achieved by using better materials but also by improving design tools. Better tools have been provided which consist (ii) of material constitutive equations integrating a physically-based description of damage processes and (iii) of better numerical tools which allow to use the improved constitutive equations in structural computations which become more and more realistic. This article reviews the material constitutive equations and computational tools, which have been recently developed to simulate ductile rupture.

471 citations

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TL;DR: In this paper, it is shown that plastic anisotropy of the matrix surrounding the voids in a ductile material could have an influence on both effective stress-strain relation and damage evolution.
Abstract: The aim of this paper is to incorporate plastic anisotropy into constitutive equations of porous ductile metals. It is shown that plastic anisotropy of the matrix surrounding the voids in a ductile material could have an influence on both effective stress–strain relation and damage evolution. Two theoretical frameworks are envisageable to study the influence of plastic flow anisotropy: continuum thermodynamics and micromechanics. By going through the Rousselier thermodynamical formulation, one can account for the overall plastic anisotropy, in a very simple manner. However, since this model is based on a weak coupling between plasticity and damage dissipative processes, it does not predict any influence of plastic anisotropy on cavity growth, unless a more suitable choice of the thermodynamical force associated with the damage parameter is made. Micromechanically-based models are then proposed. They consist of extending the famous Gurson model for spherical and cylindrical voids to the case of an orthotropic material. We derive an upper bound of the yield surface of a hollow sphere, or a hollow cylinder, made of a perfectly plastic matrix obeying the Hill criterion. The main findings are related to the so-called ‘scalar effect’ and ‘directional effect’. First, the effect of plastic flow anisotropy on the spherical term of the plastic potential is quantified. This allows a classification of sheet materials with regard to the anisotropy factor h ; this is the scalar effect. A second feature of the model is the plasticity-induced damage anisotropy. This results in directionality of fracture properties (‘directional effect’). The latter is mainly due to the principal Hill coefficients whilst the scalar effect is enhanced by ‘shear’ Hill coefficients. Results are compared to some micromechanical calculations using the finite element method.

329 citations

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TL;DR: In this article, a phenomenological yield function is proposed to represent the plastic anisotropy of aluminum sheets, which is an extension of the functions given by Barlat et al. and Karafillis and Boyce.

303 citations

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TL;DR: A simple core library is described which aids program development by isolating repetitive tasks into optimized classes that address the reduction of interdependence in the code project, and facility expandability in the long term.

270 citations

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TL;DR: In this article, a theory of anisotropic ductile fracture is outlined and applied to predict failure in a low alloy steel, and a rate-dependent version of the theory is employed to solve boundary value problems.

265 citations


Cited by
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TL;DR: In this article, two convex formulations are proposed to describe the anisotropic behavior of metals and alloys for a full stress state (3D) in general terms, and the type of input data recommended for the description of plastic anisotropy in sheet samples is discussed.

832 citations

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TL;DR: Using trend analysis, property relations, and interpolation methods, a coherent set of trend values for the properties of polycrystallineTiB2 is determined for a mass fraction of TiB2 ⩾ 98 % and a mean grain size of (9±1) µm.
Abstract: The physical, mechanical, and thermal properties of polycrystalline TiB2 are examined with an emphasis on the significant dependence of the properties on the density and grain size of the material specimens. Using trend analysis, property relations, and interpolation methods, a coherent set of trend values for the properties of polycrystalline TiB2 is determined for a mass fraction of TiB2 98 %, a density of (4.50.1) g/cm 3 , and a mean grain size of (91) m.

782 citations

Journal ArticleDOI
29 Jun 2001-Science
TL;DR: This review assesses the current understanding of the resistance of graded materials to contact deformation and damage, and outlines future research directions and possible applications for graded materials.
Abstract: The mechanical response of materials with spatial gradients in composition and structure is of considerable interest in disciplines as diverse as tribology, geology, optoelectronics, biomechanics, fracture mechanics, and nanotechnology. The damage and failure resistance of surfaces to normal and sliding contact or impact can be changed substantially through such gradients. This review assesses the current understanding of the resistance of graded materials to contact deformation and damage, and outlines future research directions and possible applications for graded materials.

741 citations

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TL;DR: In this article, a model for the axisymmetric growth and coalescence of small internal voids in elastoplastic solids is proposed and assessed using void cell computations.
Abstract: A model for the axisymmetric growth and coalescence of small internal voids in elastoplastic solids is proposed and assessed using void cell computations. Two contributions existing in the literature have been integrated into the enhanced model. The first is the model of Gologanu-Leblond-Devaux, extending the Gurson model to void shape effects. The second is the approach of Thomason for the onset of void coalescence. Each of these has been extended heuristically to account for strain hardening. In addition, a micromechanically-based simple constitutive model for the void coalescence stage is proposed to supplement the criterion for the onset of coalescence. The fully enhanced Gurson model depends on the flow properties of the material and the dimensional ratios of the void-cell representative volume element. Phenomenological parameters such as critical porosities are not employed in the enhanced model. It incorporates the effect of void shape, relative void spacing, strain hardening, and porosity. The effect of the relative void spacing on void coalescence, which has not yet been carefully addressed in the literature. has received special attention. Using cell model computations, accurate predictions through final fracture have been obtained for a wide range of porosity, void spacing, initial void shape, strain hardening, and stress triaxiality. These predictions have been used to assess the enhanced model. (C) 2000 Elsevier Science Ltd. All rights reserved.

714 citations