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© 2006

Continuum Mechanics using Mathematica®

Fundamentals, Applications and Scientific Computing

Benefits

  • Strikes a balance between fundamentals and applications

  • Requisite mathematical background carefully collected in two introductory chapters and two appendices

  • Readers gain the mathematical tools to effectively solve problems in continuum mechanics

  • Interdisciplinary applications will appeal to a broad range of students and professionals

  • Includes significant applications to areas such as porous media, electromagnetic fields, and phase transitions

Textbook
  • 16k Downloads

Table of contents

  1. Front Matter
    Pages i-xii
  2. Pages 45-76
  3. Pages 109-129
  4. Pages 131-153
  5. Pages 155-169
  6. Pages 189-243
  7. Pages 245-316
  8. Pages 317-366
  9. Back Matter
    Pages 379-388

About this book

Introduction

This book's methodological approach familiarizes readers with the mathematical tools required to correctly define and solve problems in continuum mechanics. The book covers essential principles and fundamental applications, and provides a solid basis for a deeper study of more challenging and specialized problems related to elasticity, fluid mechanics, plasticity, materials with memory, piezoelectricity, ferroelectricity, magneto-fluid mechanics, and state changes.
Key topics and features:
* Concise presentation strikes a balance between fundamentals and applications
* Requisite mathematical background carefully collected in two introductory chapters and two appendices
* Recent developments highlighted through coverage of more significant applications to areas such as porous media, electromagnetic fields, and phase transitions
Continuum Mechanics using Mathematica® is aimed at advanced undergraduates, graduate students, and researchers in applied mathematics, mathematical physics, and engineering. It may serve as a course textbook or self-study reference for anyone seeking a solid foundation in the field.

Keywords

calculus electricity fluid mechanics linear algebra mathematical physics mechanics plasticity thermodynamics

Authors and affiliations

  1. 1.Dipartimento di Matematica e Applicazioni “R. Caccioppoli”Università degli Studi di Napoli “Federico II”NapoliItaly
  2. 2.Dipartimento di Ingegneria Strutturale e GeotecnicaPolitecnico di TorinoTorinoItaly

Bibliographic information

Industry Sectors
Energy, Utilities & Environment
Engineering

Reviews

"[The authors] bring a fresh quality to this subject. Their book of 11 chapters rigorously and clearly introduces various attributes often lacking in other books. Starting with basic linear algebra, the book migrates smoothly to curvilinear coordinates. There, the authors analyze different coordinates and introduce singular surfaces important in porous media analysis. From that point onward the authors present balance and constitutive equations common to other classical books. However, this book resourcefully goes a step further by applying Mathematica in order to clarify key concepts; this attractive feature is one of the book's strengths. In each Mathematica case, the authors define the aim of the program, description of the problem, and relative algorithm. All chapters are well written, particularly the last four on wave propagation, linear elasticity, and other topics including shock waves, Rayleigh waves, and SH waves. Given this book's elucidative and concise approach, the scientific community should look forward to reading the second volume, to treat mixtures, phase change, magnetoelastic bodies, and other important topics. Summing Up: Highly recommended. Graduate students through professionals."                                         —Choice

"The book will be an invaluable reference for all those with active interest in the areas of continuum mechanics and its fundamental applications: balance laws, constitutive axioms, linear elasticity, fluid dynamics, waves, etc. It may serve as a supplement to any of the standard textbooks for undergraduate students, graduate students, and researchers in applied mathematics, mathematical physics, and engineering."                                 —Zentralblatt MATH