WorldCat Identities

Alart, P.

Overview
Works: 4 works in 19 publications in 2 languages and 533 library holdings
Genres: Conference papers and proceedings 
Roles: Editor, Author, 956, Opponent, 958
Classifications: QA801, 531
Publication Timeline
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Most widely held works by P Alart
Nonsmooth mechanics and analysis : theoretical and numerical advances by P Alart( Book )

16 editions published between 2006 and 2011 in English and held by 136 WorldCat member libraries worldwide

This book's title, Nonsmooth Mechanics and Analysis, refers to a major domain of mechanics, particularly those initiated by the works of Jean Jacques Moreau. Nonsmooth mechanics concerns mechanical situations with possible nondifferentiable relationships, eventually discontinuous, as unilateral contact, dry friction, collisions, plasticity, damage, and phase transition. The basis of the approach consists in dealing with such problems without resorting to any regularization process. Indeed, the nonsmoothness is due to simplified mechanical modeling; a more sophisticated model would require too large a number of variables, and sometimes the mechanical information is not available via experimental investigations. Therefore, the mathematical formulation becomes nonsmooth; regularizing would only be a trick of arithmetic without any physical justification. Nonsmooth analysis was developed, especially in Montpellier, to provide specific theoretical and numerical tools to deal with nonsmoothness. It is important not only in mechanics but also in physics, robotics, and economics. Audience This book is intended for researchers in mathematics and mechanics
Modélisation et analyse de quelques problèmes de contact avec compliance normale et contrainte unilatérale by Ahmad Ramadan( )

1 edition published in 2014 in French and held by 1 WorldCat member library worldwide

Phenomena of contact between deformable bodies or between a deformable body and a rigid foundation abound in everyday life. These phenomena may involve sophisticated mathematical models represented by systems of partial differential equations with boundary conditions describing complex contact processes (with or without friction). However, the mathematical theory of contact problems is a broad field of study where many issues remain to be investigated. The field studies of this thesis concerns, the development of new models of contact and friction as well as the mathematical analysis and numerical solution of the problems considered. In this work, our goal is to make a contribution to this mathematical theory of contact problems. In other words, the purpose of our thesis is to study theoretically and numerically some problems of contact between a deformable body and a rigid foundation using several original constitutive and contact laws with and without friction
Modélisation multi-échelles du comportement mécanique des câbles textiles by Houda Attia( )

1 edition published in 2015 in French and held by 1 WorldCat member library worldwide

Le travail présenté a été réalisé dans le cadre d'un projet de recherche industriel visant à étudier le comportement mécanique des câblés textiles utilisés comme renforts dans les pneumatiques. Les câblés étudiés sont composés de plusieurs dizaines de milliers de filaments, assemblés en brins, qui sont ensuite torsadés ensemble. Le comportement du câble est gouverné par les mécanismes se produisant à l'échelle des fibres élémentaires, et hérite des phénomènes complexes dus aux interactions de contact-frottement entre les filaments. L'objectif de ce travail est de développer une approche permettant de simuler le comportement global de ces câblés au cours des différentes étapes de leur cycle de vie tout en approchant les sollicitations subies à l'échelle des filaments afin d'étudier les mécanismes responsables de l'endommagement de ces structures.La thèse introduit une stratégie multi-échelles originale qui repose sur le développement d'un modèle simplifié de macrofibre. Ce modèle de macrofibre est formulé à une échelle intermédiaire(entre l'échelle microscopique -celle des fibres- et l'échelle macroscopique -celle des câbles-) et dont le comportement soit équivalent à celui d'un paquet de quelques dizaines de fibres. Pour compenser la pauvreté cinématique du modèle de macrofibre, nous proposons de prendre en compte les effets de densification locale des macrofibres (écrasements transverses, réduction des vides) en autorisant des pénétrations importantes entre elles, contrôlées par une loi de contact appropriée. L'objectif de cette modélisation macroscopique est d'estimer le comportement global du câble et de définir des informations à transmettre vers l'échelle microscopique. Le processus d'héritage (choix de quantités macroscopiques pertinentes et manière de les imposer au problème local) constitue l'apport principal de ce travail et se base sur un mode de pilotage mixte à l'échelle microscopique. A terme,les résultats du problème microscopique devront permettre de recaler les paramètres du modèle de contact macroscopique, de manière à obtenir un accord entre les densités déterminées aux deux échelles.La méthode multi-échelles développée est d'abord validée par analyse d'erreur dans un cadre bidimensionnel,puis appliquée sur un câblé textile réel pour mettre en évidence son apport dans un contexte industriel
Modélisation, analyse et simulations numériques de quelques problèmes de contact by David Danan( )

1 edition published in 2016 in French and held by 1 WorldCat member library worldwide

Contact phenomena between bodies, whether they are deformable or not, abound in everyday life. Their modellings require mathematical tools using systems of partial differential equations and involving complex boundary conditions, in order to describe the contact. While the physical aspects of such phenomena have been known for a long time, the mathematical theory remains relatively recent which leaves room for numerous problems. This work focuses on the modelling, the analysis and the numerical simulations of such problems. It is located halfway between contact mechanics and the mathematical aspects inherent to the mechanical questions involved. Our aim is to study several groups of problems that include original contact conditions (with or without friction), both from a mathematical and numerical point of view, in order to contribute to the theory, and also to highlight several numerical methods used to solve specific contact problems
 
Audience Level
0
Audience Level
1
  Kids General Special  
Audience level: 0.54 (from 0.53 for Nonsmooth ... to 0.98 for Modélisat ...)

Nonsmooth mechanics and analysis : theoretical and numerical advances
Languages
English (16)

French (3)

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