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Continuum Mechanics using Mathematica: Fundamentals, Applications, and Scientific Computing

Antonio Romano
Renato Lancellotta
Addolorata Marasco
Book information

Publisher: Birkhäuser (Boston)
Copyright year: 2006
ISBN: 0817632409
Medium: Hardcover
Includes: CD-ROM
Pages: 388
Out of print?: N
Additional cataloguing information: Series title: Modeling and Simulation in Science, Engineering and Technology (Nicola Bellomo, ed.)
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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

This book methodologically familiarizes readers with the mathematical tools required to correctly define and solve problems in continuum mechanics. It 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.

It is aimed at advanced undergraduates, graduate students, and researchers in applied mathematics, mathematical physics, and engineering. It may serve as a course textbook or a self-study reference for anyone seeking a solid foundation in the field.

*Mathematics > Algebra > Linear Algebra
*Mathematics > Calculus and Analysis
*Science > Physics
*Science > Physics > Electromagnetism
*Science > Physics > Fluid Mechanics
*Science > Physics > Mechanics
*Science > Physics > Thermodynamics and Statistical Mechanics
*Science > Physics > Wave Motion

accumulation function, acoustic tensor, adiabatic shock, Blasius, Boussinesq-Papkovich-Neuber, Cauchy, Cauchy-Kovalevskaya, Cayley-Hamilton, Christoffel symbols, Clausis-Duhem inequality, Clausius-Planck inequality, simulation, modeling, continuum mechanics, scientific computing, D'Alembert, Euler-Cauchy, Piola-Kirchhof, Green-St. Venant tensor, Joukowsky, Laplacian, Lax condition, Levi-Civita symbol, Minkowski inequality, Navier-Stokes, Neumann bounday value, Prandtl equations, Rankine-Hugoniot jump, Rayleigh-Lamb, Saint-Venant conjecture, Sobolev space, Thomson-Kelvin, Torricelli theorem, Tricomi equation, fluid dynamics, kinematics, balance equations, deformations, elasticity, vector analysis