Introduction to the Variational Formulation in Mechanics: Fundamentals and Applications
暫譯: 機械學中的變分形式介紹：基礎與應用

Taroco, Edgardo O., Blanco, Pablo J., Feijóo, Raúl a.

Introduction to the Variational Formulation in Mechanics: Fundamentals and Applications
  • 出版商: Wiley
  • 出版日期: 2020-02-25
  • 售價: $5,470
  • 貴賓價: 9.5 折 $5,197
  • 語言: 英文
  • 頁數: 608
  • 裝訂: Hardcover - also called cloth, retail trade, or trade
  • ISBN: 1119600901
  • ISBN-13: 9781119600909

    • 海外代購書籍(需單獨結帳)

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商品描述

Introduces readers to the fundamentals and applications of variational formulations in mechanics

Nearly 40 years in the making, this book provides students with the foundation material of mechanics using a variational tapestry. It is centered around the variational structure underlying the Method of Virtual Power (MVP). The variational approach to the modeling of physical systems is the preferred approach to address complex mathematical modeling of both continuum and discrete media. This book provides a unified theoretical framework for the construction of a wide range of multiscale models.

Introduction to the Variational Formulation in Mechanics: Fundamentals and Applications enables readers to develop, on top of solid mathematical (variational) bases, and following clear and precise systematic steps, several models of physical systems, including problems involving multiple scales. It covers: Vector and Tensor Algebra; Vector and Tensor Analysis; Mechanics of Continua; Hyperelastic Materials; Materials Exhibiting Creep; Materials Exhibiting Plasticity; Bending of Beams; Torsion of Bars; Plates and Shells; Heat Transfer; Incompressible Fluid Flow; Multiscale Modeling; and more.

  • A self-contained reader-friendly approach to the variational formulation in the mechanics
  • Examines development of advanced variational formulations in different areas within the field of mechanics using rather simple arguments and explanations
  • Illustrates application of the variational modeling to address hot topics such as the multiscale modeling of complex material behavior
  • Presentation of the Method of Virtual Power as a systematic tool to construct mathematical models of physical systems gives readers a fundamental asset towards the architecture of even more complex (or open) problems

Introduction to the Variational Formulation in Mechanics: Fundamentals and Applications is a ideal book for advanced courses in engineering and mathematics, and an excellent resource for researchers in engineering, computational modeling, and scientific computing.

商品描述(中文翻譯)

介紹變分形式在力學中的基本原理和應用

這本書經過近40年的努力，為學生提供了使用變分方法的力學基礎材料。它圍繞著虛功法（Method of Virtual Power, MVP）背後的變分結構展開。變分方法在物理系統建模中的應用是解決連續介質和離散介質複雜數學建模的首選方法。本書提供了一個統一的理論框架，用於構建各種多尺度模型。

變分形式在力學中的介紹：基本原理和應用使讀者能夠在堅實的數學（變分）基礎上，遵循清晰而精確的系統步驟，發展出多個物理系統模型，包括涉及多個尺度的問題。內容涵蓋：向量和張量代數；向量和張量分析；連續介質力學；超彈性材料；顯示蠕變的材料；顯示塑性的材料；梁的彎曲；棒的扭轉；板和殼；熱傳導；不可壓縮流體流動；多尺度建模；等等。


  • 一種自成體系且易於理解的變分形式在力學中的方法

  • 使用相對簡單的論證和解釋，檢視力學領域內不同領域的先進變分形式的發展

  • 說明變分建模的應用，以解決如複雜材料行為的多尺度建模等熱門話題

  • 將虛功法作為系統工具來構建物理系統的數學模型，為讀者提供了面對更複雜（或開放）問題的基本資產

變分形式在力學中的介紹：基本原理和應用是工程和數學高級課程的理想書籍，也是工程、計算建模和科學計算研究人員的優秀資源。

作者簡介

EDGARDO OMAR TAROCO, PHD, was a Full Researcher at the National Laboratory for Scientific Computing (LNCC/MCTIC) and at the National Institute of Science and Technology in Medicine Assisted by Scientific Computing (INCT-MACC), Petrópolis, Brazil.

PABLO JAVIER BLANCO, PHD, is a Full Researcher at the National Laboratory for Scientific Computing (LNCC/MCTIC) and at the National Institute of Science and Technology in Medicine Assisted by Scientific Computing (INCT-MACC), Petrópolis, Brazil, and Associate Professor at the Catholic University of Petrópolis, Brazil.

RAÚL ANTONINO FEIJÓO, is a Full Researcher at the National Laboratory for Scientific Computing (LNCC/MCTIC) and at the National Institute of Science and Technology in Medicine Assisted by Scientific Computing (INCT-MACC), Petrópolis, Brazil.

作者簡介(中文翻譯)

EDGARDO OMAR TAROCO, 博士， 是巴西彼得羅波利斯國家科學計算實驗室 (LNCC/MCTIC) 和國家科學與技術醫學計算輔助研究所 (INCT-MACC) 的全職研究員。

PABLO JAVIER BLANCO, 博士， 是巴西彼得羅波利斯國家科學計算實驗室 (LNCC/MCTIC) 和國家科學與技術醫學計算輔助研究所 (INCT-MACC) 的全職研究員，並且是巴西彼得羅波利斯天主教大學的副教授。

RAÚL ANTONINO FEIJÓO， 是巴西彼得羅波利斯國家科學計算實驗室 (LNCC/MCTIC) 和國家科學與技術醫學計算輔助研究所 (INCT-MACC) 的全職研究員。

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