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
* CD-ROM containing Mathematica-based exercises, examples, and programs related to the text; this user-friendly software is unique in the literature and allows readers to quickly solve complex, time-consuming problems related to the application areas covered
* Recent developments highlighted through coverage of more significant applications to areas such as porous media, electromagnetic fields, and phase transitions
Continuum Mechanics with 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. TOC:Preface.- Elements of Linear Algebra.- Vector Analysis.- Finite and Infinitesimal Deformations.- Kinematics.- Balance Equations.- Constitutive Equations.- Symmetry Groups: Solids and Fluids.- Wave Propagation.- Fluid Mechanics.- Linear Elasticity.- Other Approaches to Thermodynamics.- References.- Index
