Transformation: Constraints and Deformations

Related lectures (31)

Page 1 of 4

Explores stress and strain transformations, main stresses, safety factors, and failure criteria in structural mechanics.

Covers 3D linear elasticity, stress, strain, beams' behavior under loads, and torsion.

Explores the moment-curvature relation for beams, emphasizing stress distribution and typical boundary conditions.

Explores the transformation of vectors and tensors, including rotations and representations in quantum physics.

Covers stress equilibrium, strain, and constitutive equations in 2D and 3D.

Covers the topic of conformal transformations, including translations, dilations, rotations, and the conformal algebra.

Explains the Polar Decomposition Theorem, which isolates stretching from rotation to prevent stress induction in the body.

Explores simple shear, shear stress, strain energy, stress analysis, and torsional shear stress in simple twist.

Introduces the theory behind laminates and their applications in different industries.

Explores deformation and strain tensors, Lagrange representation, elasticity theory, and the divergence theorem.