Stress and Strain (beyond 1D)

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Related lectures (32)

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Plates: Deformation, Energy, Wrinkling

Covers the deformation of plates in pure bending, total strain energy, and applications like wrinkling.

Deformable Structures I

Introduces the analysis of deformable structures, focusing on equilibrium, stress, and strain in axial loading and stiffness.

Stress and Strain Transformations

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

The stress tensor: representation and properties

Explores the stress tensor representation, interpretation, and properties, emphasizing the sign convention for normal and shear stresses.

Mechanics of Slender Structures: Elasticity & Buckling

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

Introduction to Structural Mechanics

Covers the basics of structural mechanics, including static forces, stress, strain, and structural elements like bars, cables, trusses, and beams.

Stress Components & Transformation of Tensors

Covers stress components, tensor transformation, and invariants in continuum mechanics.

Stress and Strain: Real vs Nominal

Explores real and nominal strain rates, stress, deformation, and force in materials testing.

Torsion: Deriving Hooke's Law and Solving Torsion Problems

Covers torsional loads, Hooke's law derivation, solving problems, and examples in hollow and composite shafts.

Relative Deformation in 3D: Strain Matrix

Explores relative deformation in 3D through strain matrix and displacement gradient, emphasizing constraints, stress-strain relations, and equilibrium equations.