Mathematical model in continuum mechanics

Author: (French) Tremblay / (French) Milonville / Xue Mi
Publisher:
Publish Date: 2004-01-01
Features: The core part of this book covers the fundamental aspects of continuum mechanics: the description of the motion of continua, the basic laws of dynamics, the Piola-Kirchhoff stress tensor, constitutive laws, internal and thermal energy laws, the Rayleigh-Ritz and Rankine-Hugoniot relations, an introduction to the fundamentals of non-Newtonian and Newtonian fluid mechanics, as well as an introduction to variational principles in linear elasticity and linear elastodynamics. Additionally, the book includes brief or more detailed introductions to several important related fields. Examples include magnetohydrodynamics, combustion, geophysical fluid dynamics, waves, linear acoustics, and nonlinear waves and solitons related to the Korteweg-de Vries equation and the nonlinear Schr?dinger equation. The book consists of 19 chapters. It can serve as a textbook and reference for senior undergraduate students in physics and mechanics, as well as graduate students in applied mathematics, physics, and engineering.