Solid Mechanics

Mechanics of Materials (EGM3520 and EML 3018C)

Mechanical properties of materials

• Stress-strain behavior under uniaxial loading
• Isotropic, orthotropic and anisotropic behaviour
• Elastic, plastic regimes
• Rate-dependent and independent behavior
• Ductile and brittle behavior

Force vectors and resultants

• Scalar, vector and tensors
• Vector operations: dot and cross products
• Force-couple systems in 3D and their reductions

Stress and Strain

• Concept of stress and strain
• Normal and shear strain in three dimensions
• Stress and strain deformations
• Body and surface forces, traction vector
• Mohr's circle and principal stresses
• Spherical and deviatoric components
• Plane stress, plane strain and generalized plane and 3D states
• Concept of equivalent stress, von Mises yield criteria
• Failure theories of brittle and ductile materials
• Strain rosettes

Axial loading, Torsion, Bending, Shear, Combined Loading

• Elastic, plastic and thermal loadings
• Statically indeterminate problems
• Stress concentration, inelastic bending and torsion
• Prismatic, built-up and composite members
• Thin walled pressure vessels

Beams and Columns

• Moment diagrams in built-up and composite beams
• Elastic curve: slope and deflections
• Method of superposition
• Discontinuity functions
• Statically indeterminate beams
• Critical loads in columns
• Inelastic buckling
• Application of energy methods
• Anisotropy and composite materials