CIVIL-225: Continuum mechanics (for GC)

Lectures in this course (13)

Covers index notation basics and introduces tensors and their transformations.

Explores scalar field gradient, unitary vectors, and vector field divergence in continuum mechanics.

Explores torsion analysis, eigenvalues, rupture conditions, stress principles, and engineering applications.

Explores the kinematics of continuous media, including deformation, rotation, and translation of particles and rigid bodies.

Discusses material behavior, boundary conditions, elliptical connections, and solutions in continuum mechanics.

Covers the interpretation of geometrical components of strain tensor for small deformations and volume changes.

Covers the fundamentals of mechanics of continuous media, focusing on stress, equilibrium, and torsion revisited.

Explores deformation, compatibility equations, stress analysis, and principal stresses in continuum mechanics.

Covers potential energy, balance solutions, and the Ritz method in mechanics.

Explores stress and strain in continuous media, emphasizing the Cauchy stress tensor and boundary conditions.

Explores stress-strain relationships, equilibrium of forces, and material properties in mechanics.

Explores stress components placement, strain-stress relationship, energy of deformation, material isotropy, and temperature effects.

Explores stress and deformation in torsional structures under loading conditions.

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