Full Description
This book examines mathematical tools, principles, and fundamental applications of continuum mechanics, providing a solid basis for a deeper study of more challenging problems in elasticity, fluid mechanics, plasticity, piezoelectricity, ferroelectricity, magneto-fluid mechanics, and state changes. The work is suitable for advanced undergraduates, graduate students, and researchers in applied mathematics, mathematical physics, and engineering.
Contents
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