This page offers a mathematical framework for kinematic, equilibrium, and constitutive equations crucial for stress analysis of complex geometrical structures. It sets the foundation for theoretical a...This page offers a mathematical framework for kinematic, equilibrium, and constitutive equations crucial for stress analysis of complex geometrical structures. It sets the foundation for theoretical and numerical methods, including finite element analysis, and introduces notation for stress and strain. The chapter also covers stress axis transformation for practical applications, such as analyzing stresses on atomic planes and joints.
This page explores the interrelation of kinematics, equilibrium, and constitutive relations in Mechanics of Materials, focusing on elastic constants affected by processing and microstructure. It detai...This page explores the interrelation of kinematics, equilibrium, and constitutive relations in Mechanics of Materials, focusing on elastic constants affected by processing and microstructure. It details isotropic materials and stress tensor decomposition into hydrostatic and distortional components, discussing their impact on material behavior. The distinctions between true and engineering stress in deformation are examined, along with adaptations for anisotropic materials.
