Mechanical Properties of Macro/Nanoscale Materials

Catalog description

This course will discuss the mechanical properties of a wide range of materials from both macroscopic and microscopic viewpoints. Beginning with a review of elasticity and tensors, the course will describe the deformation, fracture and fatigue behavior of metals, ceramics and polymers. Dislocation theory, strengthening mechanisms and rate-dependent deformation will also be discussed. The following topics will be discussed: 1. Introduction and review of linear elasticity and tensors. Stress and strain tensors, transformations, principal stresses, invariants. Mechanical testing methods at the macro and micro scale. 2. Crystal symmetry and its effect on second and fourth rank tensors. Linear thermal expansion and thermal stresses. Anisotropic linear elasticity. Anisotropic elastic moduli of crystals. 3. Plasticity and yield in continuum elasticity. Notion of yield surfaces. 4. Elements of dislocation theory. Stress and strain fields of dislocations, forces and interactions. 5. Slip and twinning in crystalline solids. 6. Strengthening and deformation properties of crystalline materials. 7. Rate-dependent and high temperature deformation of materials. 8. Fracture of materials.