Explore the Computational Methods and Mathematical Models That Are Possible through Continuum Mechanics FormulationsMathematically demanding, but also rigorous, precise, and written using very clear language, Advanced Mechanics of Continua provides a thorough understanding of continuum mechanics. This book explores the foundation of continuum mecha
Introduction. Concepts and Mathematical Preliminaries. Kinematics of Motion, Deformation and Their Measures. Definitions and Measures of Stresses. Rate of Deformation, Strain Rate, and Spin Tensors. Conservation and Balance Laws in Eulerian Description. Conservation and Balance Laws in Lagrangian Description. General Considerations in the Constitutive Theories. Ordered Rate Constitutive Theories for Thermoelastic Solids. Thermoviscoelastic Solids without Memory. Thermoviscoelastic Solids with Memory. Ordered Rate Constitutive Theories for Thermofluids. Ordered Rate Constitutive Theories For Polymers. Ordered Rate Constitutive Theories for Hypoelastic Solids. Mathematical Models with Thermodynamic Relations.