Contemporary continuum mechanics research has been moving into areas of complex material microstructural behavior. Graduate students who are expected to do this type of research need a fundamental background beyond classical continuum theories. They need an introduction to topics like RVE theory, fabric tensor models, micropolar elasticity, elasticity with voids, nonlocal higher gradient elasticity and damage mechanics. Martin Sadd's Continuum Mechanics Modelling of Material Behavior covers these topics like no other contemporary textbook. The book begins with several chapters that carefully and rigorously present: mathematical preliminaries; kinematics of motion and deformation; force and stress measures; and mass, momentum and energy balance principles. It then moves beyond other books by dedicating the last chapter to constitutive equation development, exploring a wide collection of constitutive relations and developing the corresponding material model formulations. Such material behavior models include classical linear theories of elasticity, fluid mechanics, viscoelasticity and plasticity, as well as linear and nonlinear theories of solids and fluids, including finite elasticity, nonlinear/ non-Newtonian viscous fluids, and nonlinear viscoelastic materials. Finally, several relatively new continuum theories based on incorporation of material microstructure are presented including: fabric tensor theories, micropolar elasticity, elasticity with voids, nonlocal higher gradient elasticity and damage mechanics. Thorough, concise and organized presentation of continuum mechanics formulationNumerous applications in areas of contemporary continuum mechanics modelling including micromechanical and multi-scale problemsIntegration and use of MATLAB software gives students more tools to solve, evaluate and plot problems under studyExtensive use of exercises provides more material for student engagement and instructor presentation INDICE: 1. Introduction 2. Mathematical Preliminaries 3. Kinematics of Motion and Deformation Measures 4. Forces and Stress 5. General Conservation of Laws 6. Constitutive Relations and Formulation of Particular Material Behavior Theories
- ISBN: 978-0-12-811474-2
- Editorial: Academic Press
- Encuadernacion: Rústica
- Páginas: 560
- Fecha Publicación: 01/01/2018
- Nº Volúmenes: 1
- Idioma: Inglés