Introductory concepts and definitions: The continuum. Stress: The concept of stress. The stress tensor. Transformations of the stress tensor. Principal stresses. Octahedral shear stresses. Equilibrium equations. Strain: Displacements. Strains. Small strains. Rigid body rotation. The strain tensor. Transformations of the strain tensor. Principal strains. Maximum shear strain. Compatibility equations. Stress-strain relations: Generalized Hooke s law. Effect of temperature on stress-strain relations. Elements of linear elasticity: The problem of linear elasticity. Stress function. Axial problems: Axially loaded statically determinate and statically indeterminate problems. The stress-strain diagram. Idealizations of the σ-ε diagram. Plane problems. Thin-walled pressure vessels. Mohr s circle in 2-D. Failure and plastic behavior of materials: Failure of materials. Failure criteria. Mises-Tresca-Mohr criteria. Plastic behavior of materials. Mises yield criterion. Prandtl-Reuss equations. Elements of Fracture Mechanics.
- Teacher: Χρηστος Γιουνης
- Teacher: Σταύρος Κουρκουλής
ECTS : 4
Language : el