Theory of linear elasticity.
Chapter one: stress.
1.1 Stress vector
1.2 Equilibrium conditions of the deformable solid
1.3 Stress tensor
1.4 Equilibrium conditions of the internal point
1.5 Equilibrium conditions of the external point
1.6 Components of the stress vector
1.7 Principal stresses and directions
1.8 Lame's ellipsoid
1.9 Octahedral stresses
1.10 Planar representation of the stress vector
1.11 Mohr's circles
1.12 Graphical determination of the stress vector
1.13 Planar stress (1 of 2)
1.14 Planar stress (2 of 2)
Chapter two: strain.
2.1 Displacement and deformation at a point
2.2 Strain tensor
2.3 Deformation unit vector
2.4 Components of the strain vector
2.5 Longitudinal deformation
2.6 Unit cubic deformation
2.7 Compatibility conditions for the strain tensor in 2D
2.8 Compatibility conditions for the strain tensor in 3D
Chapter three: stress-strain relations.
3.1 Direct relations between principal strain and stress
3.2 Inverse relations between principal strain and stress
3.3 Generalized direct relations (Lame's equations)
3.4 Generalized inverse relations (Hooke's law)
3.5 The complete linear elastic problem
