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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

  • Antonio Romano
    • 1
  • Renato Lancellotta
    • 2
  • Addolorata Marasco
    • 1
  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