This book examines mathematical tools, principles, and fundamental applications of continuum mechanics, providing a solid basis for a deeper study of more challenging problems in elasticity, fluid mechanics, plasticity, piezoelectricity, ferroelectricity, magneto-fluid mechanics, and state changes.
Continuum Mechanics using Mathematica®: Fundamentals, Applications and Scientific Computing
✍ Scribed by Antonio Romano, Renato Lancellotta, Addolorata Marasco (auth.)
- Publisher
- Birkhäuser Boston
- Year
- 2006
- Tongue
- English
- Leaves
- 391
- Series
- Modeling and Simulation in Science, Engineering and Technology
- Category
- Library
No coin nor oath required. For personal study only.
✦ Synopsis
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.
✦ Table of Contents
Elements of Linear Algebra....Pages 1-43
Vector Analysis....Pages 45-76
Finite and Infinitesimal Deformations....Pages 77-107
Kinematics....Pages 109-129
Balance Equations....Pages 131-153
Constitutive Equations....Pages 155-169
Symmetry Groups: Solids and Fluids....Pages 171-187
Wave Propagation....Pages 189-243
Fluid Mechanics....Pages 245-316
Linear Elasticity....Pages 317-366
Other Approaches to Thermodynamcis....Pages 367-378
✦ Subjects
Mechanics;Continuum Mechanics and Mechanics of Materials;Theoretical and Applied Mechanics;Applications of Mathematics;Mathematical and Computational Physics;Mathematical Modeling and Industrial Mathematics
📜 SIMILAR VOLUMES
<span>This book examines mathematical tools, principles, and fundamental applications of continuum mechanics, providing a solid basis for a deeper study of more challenging problems in elasticity, fluid mechanics, plasticity, piezoelectricity, ferroelectricity, magneto-fluid mechanics, and state cha
<p>This textbook's methodological approach familiarizes readers with the mathematical tools required to correctly define and solve problems in continuum mechanics. Covering essential principles and fundamental applications, this second edition of Continuum Mechanics using Mathematica® provides a sol