Lagrange Representation

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Related lectures (32)

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3D Linear Elasticity & Beams

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

Continuum Mechanics: Conservation Laws, Tensor Objects, and Fluid Dynamics

Covers conservation laws, tensor objects, and fluid dynamics in Continuum Mechanics.

Elastic Deformation: Material Properties

Explores material properties, stress, strain, and deformation gradient in elastic deformation.

Plates I: Deformation, Strain, Stress, Wrinkling

Covers the deformation, strain, and stress in plates under pure bending, as well as the total strain energy related to in-plane stretching and out-of-plane bending energy.

Relative Deformations in 3D

Explores normal and shear strains, displacement fields, and the matrix of relative strains in 3D.

Plates I: Deformation, Strain, Stress, and Wrinkling

Covers deformation, strain, stress, and wrinkling in plates under pure bending, exploring applications and bending stiffness.

Continuum Mechanics: Kinematics and Deformation Analysis

Covers kinematics and deformation in continuum mechanics, focusing on displacement vectors and the deformation gradient tensor.

Continuum Mechanics: Deformation and Compatibility Equations

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

Deformations and Constraints

Covers relative deformations, flexibility matrix, stress relations, and internal forces in structures.

The Strain Tensor: Derivation and Properties

Explores the derivation and properties of the strain tensor, emphasizing the complexities of shear strain components.