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. Contents
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 Related Topics
Algebra, Calculus and Analysis, Engineering, Physics