Finite Element Approximation of Contact and Friction in Elasticity

Chouly, Franz, Hild, Patrick, Renard, Yves

Finite Element Approximation of Contact and Friction in Elasticity
  • 出版商: Birkhauser Boston
  • 出版日期: 2024-06-25
  • 售價: $7,010
  • 貴賓價: 9.5 折 $6,660
  • 語言: 英文
  • 頁數: 294
  • 裝訂: Quality Paper - also called trade paper
  • ISBN: 3031314255
  • ISBN-13: 9783031314254

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商品描述

This book presents the mathematics behind the formulation, approximation, and numerical analysis of contact and friction problems. It also provides a survey of recent developments in the numerical approximation of such problems as well as several remaining unsolved issues. Particular focus is placed on the Signorini problem and on frictionless unilateral contact in small strain. The final chapters cover more complex, applications-oriented problems, such as frictional contact, multi-body contact, and large strain.

Finite Element Approximation of Contact and Friction in Elasticity will be a valuable resource for researchers in the area. It may also be of interest to those studying scientific computing and computational mechanics.

商品描述(中文翻譯)

本書介紹了接觸與摩擦問題的公式化、近似及數值分析背後的數學原理。它還提供了對這些問題數值近似的最新發展的概述，以及幾個尚未解決的問題。特別關注的是 Signorini 問題和小變形下的無摩擦單邊接觸。最後幾章涵蓋了更複雜的應用導向問題，例如摩擦接觸、多體接觸和大變形。

《彈性中的接觸與摩擦的有限元素近似》將成為該領域研究人員的重要資源。對於研究科學計算和計算力學的人士來說，這本書也可能會引起興趣。

作者簡介

Franz Chouly is professor at the University of Burgundy (Dijon, France). His research is focused on the numerical analysis of partial differential equations and variational inequalities, finite element methods, and applications in fluid and solid mechanics.

Patrick Hild is professor at Paul Sabatier University (Toulouse, France). His research is focused on the numerical analysis of partial differential equations and variational inequalities, finite element methods, and applications in solid mechanics.

Yves Renard is professor at the National Institute of Applied Sciences of Lyon (INSA Lyon, France). His research interests include numerical methods in solid mechanics, approximation of contact and friction conditions, numerical analysis of partial differential equations, finite element based numerical modeling.

作者簡介(中文翻譯)

Franz Chouly 是法國第戎的勃艮第大學教授。他的研究專注於偏微分方程和變分不等式的數值分析、有限元素方法，以及在流體和固體力學中的應用。

Patrick Hild 是法國圖盧茲的保羅·薩巴捷大學教授。他的研究專注於偏微分方程和變分不等式的數值分析、有限元素方法，以及在固體力學中的應用。

Yves Renard 是法國里昂應用科學國立學院（INSA Lyon）的教授。他的研究興趣包括固體力學中的數值方法、接觸和摩擦條件的近似、偏微分方程的數值分析，以及基於有限元素的數值建模。

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