Continuum Mechanics: Forces and DeformationCovers continuum mechanics, forces transmission, energy conservation, solid deformation, and tensor calculus, emphasizing the symmetry of principle strains and the geometric interpretation of eigen vectors.
Linear Elasticity (3D)Explores linear elasticity in 3D, stress-strain relationship, isotropic materials, and shear stress importance.
Polar Decomposition TheoremExplains the Polar Decomposition Theorem, which isolates stretching from rotation to prevent stress induction in the body.
Nonlinear beam theoryCovers strain-displacement relations, equilibrium equations, and energy functional in nonlinear beam theory with small strain and moderate rotation.
Theory of ElasticityExplores the theory of elasticity, including Hooke's law, strain tensors, stress tensor, and thermodynamics of deformation.
Linear Elasticity: 3DCovers linearity between stress and strain in 3D and isotropic linear elasticity equations.