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Continuum Mechanics using Mathematica: Fundamentals, Applications, and Scientific Computing
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| Publisher: | Birkhäuser (Boston) |
| 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
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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.
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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
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