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Jean-Herve Prevost

Bio: Jean-Herve Prevost is an academic researcher from Princeton University. The author has contributed to research in topics: Finite element method & Extended finite element method. The author has an hindex of 40, co-authored 104 publications receiving 5920 citations. Previous affiliations of Jean-Herve Prevost include Centre national de la recherche scientifique & Stanford University.


Papers
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Journal ArticleDOI
TL;DR: In this paper, a methodology for imposing a minimum length scale on structural members in discretized topology optimization problems is described, where nodal variables are implemented as the design variables and are projected onto element space to determine the element volume fractions that traditionally define topology.
Abstract: A methodology for imposing a minimum length scale on structural members in discretized topology optimization problems is described. Nodal variables are implemented as the design variables and are projected onto element space to determine the element volume fractions that traditionally define topology. The projection is made via mesh independent functions that are based upon the minimum length scale. A simple linear projection scheme and a non-linear scheme using a regularized Heaviside step function to achieve nearly 0–1 solutions are examined. The new approach is demonstrated on the minimum compliance problem and the popular SIMP method is used to penalize the stiffness of intermediate volume fraction elements. Solutions are shown to meet user-defined length scale criterion without additional constraints, penalty functions or sensitivity filters. No instances of mesh dependence or checkerboard patterns have been observed. Copyright © 2004 John Wiley & Sons, Ltd.

1,014 citations

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TL;DR: In this article, the authors present an extended finite element method (X-FEM) for modeling strong (displacement) and weak (strain) discontinuities within a standard finite element framework.

401 citations

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TL;DR: Partition of unity enrichment techniques are developed for bimaterial interface cracks in this article, where a discontinuous function and the two-dimensional near-tip asymptotic displacement functions are added to the finite element approximation using the framework of partition of unity.
Abstract: Partition of unity enrichment techniques are developed for bimaterial interface cracks. A discontinuous function and the two-dimensional near-tip asymptotic displacement functions are added to the finite element approximation using the framework of partition of unity. This enables the domain to be modelled by finite elements without explicitly meshing the crack surfaces. The crack-tip enrichment functions are chosen as those that span the asymptotic displacement fields for an interfacial crack. The concept of partition of unity facilitates the incorporation of the oscillatory nature of the singularity within a conforming finite element approximation. The mixed-mode (complex) stress intensity factors for bimaterial interfacial cracks are numerically evaluated using the domain form of the interaction integral. Good agreement between the numerical results and the reference solutions for benchmark interfacial crack problems is realized. Copyright © 2004 John Wiley & Sons, Ltd.

277 citations

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TL;DR: In this paper, a topology optimization is used to systematically design periodic materials that are optimized for multiple properties and prescribed symmetries, in particular, mechanical stiffness and fluid transport are considered.

277 citations

Journal ArticleDOI
TL;DR: In this paper, a theoretical framework for the inhomogeneous deformation in metallic glasses is provided, where the free volume concentration is adopted as the order parameter, which is a function of position and time.
Abstract: The present study provides a theoretical framework for the inhomogeneous deformation in metallic glasses. The free volume concentration is adopted as the order parameter, which is a function of position and time. The three processes that can change the local free volume concentration are diffusion, annihilation, and stress-driven creation. The rate functions for free volume generation and plastic flow depend on the underlying microscopic model, but the framework is generally valid for different models. A simple shear problem is solved as an example. A linear stability analysis is performed on the basis of the homogeneous solution. An inhomogeneous solution is obtained with a finite amplitude disturbance to the initial free volume distribution. Numerical simulation shows the development of the inhomogeneous deformation and strain localization.

211 citations


Cited by
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Journal ArticleDOI
TL;DR: The concept of high entropy introduces a new path of developing advanced materials with unique properties, which cannot be achieved by the conventional micro-alloying approach based on only one dominant element as mentioned in this paper.

4,394 citations

Journal ArticleDOI
TL;DR: In this paper, a review of recent advances in understanding the mechanical behavior of metallic glasses, with particular emphasis on the deformation and fracture mechanisms, is presented, where the role of glass structure on mechanical properties, and conversely, the effect of deformation upon glass structure, are also described.

2,858 citations

Journal ArticleDOI
TL;DR: An overview, comparison and critical review of the different approaches to topology optimization, their strengths, weaknesses, similarities and dissimilarities and suggests guidelines for future research.
Abstract: Topology optimization has undergone a tremendous development since its introduction in the seminal paper by Bendsoe and Kikuchi in 1988. By now, the concept is developing in many different directions, including “density”, “level set”, “topological derivative”, “phase field”, “evolutionary” and several others. The paper gives an overview, comparison and critical review of the different approaches, their strengths, weaknesses, similarities and dissimilarities and suggests guidelines for future research.

1,816 citations

Book
26 Apr 1991
TL;DR: In this article, the basic ingredients of a family of simple elastic-plastic models of soil behaviour are described and used in numerical analyses. But the models on which this book concentrates are simple, understanding of these will indicate the ways in which more sophisticated models will perform.
Abstract: Soils can rarely be described as ideally elastic or perfectly plastic and yet simple elastic and plastic models form the basis for the most traditional geotechnical engineering calculations. With the advent of cheap powerful computers the possibility of performing analyses based on more realistic models has become widely available. One of the aims of this book is to describe the basic ingredients of a family of simple elastic-plastic models of soil behaviour and to demonstrate how such models can be used in numerical analyses. Such numerical analyses are often regarded as mysterious black boxes but a proper appreciation of their worth requires an understanding of the numerical models on which they are based. Though the models on which this book concentrates are simple, understanding of these will indicate the ways in which more sophisticated models will perform.

1,671 citations

Journal ArticleDOI
TL;DR: The state-of-the-art of topological design and manufacturing processes of various types of porous metals, in particular for titanium alloys, biodegradable metals and shape memory alloys are reviewed.

1,393 citations