Lectures related to Transformation Laws: Diagonalization of Symmetric Tensors

Introduces the study of geomechanics, covering the behavior of soils, rocks, and concrete in civil engineering applications.

Covers the basics of continuum mechanics, including forces transmission, energy conservation, and body motion geometry.

Explores the diagonalization of matrices through eigenvalues and eigenvectors, emphasizing the importance of bases and subspaces.

Covers the basics of continuum mechanics, including vector and tensor analysis, kinematics, and fluid mechanics.

Introduces tensor transformations, rotation matrices, and differential operators in mechanics.

Explores 3D elasticity, beam bending, and buckling phenomena in slender structures.

Covers stress equilibrium, strain, and the generalization of stress to 3D, introducing Hooke's Law and analyzing structures with axial loads.