Finite strain theory

Applied sciences
Chemical engineering
Materials science
Deformation of materials

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Related lectures (32)

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Deformation and Strain Tensors

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

Nonlinear beam theory

Covers strain-displacement relations, equilibrium equations, and energy functional in nonlinear beam theory with small strain and moderate rotation.

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.

Nonlinear Beam Theory: Mechanics of Slender Structure

Covers strain-displacement relations, simplifications, constitutive relations, equilibrium equations, and circular rings.

Structural Mechanics: Beam Bending and Boundary Conditions

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

Elastic Deformation: Material Properties

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

Generalized Hooke Law: Deformation and Stiffness Matrices

Explores the Generalized Hooke Law, stiffness matrices, and deformation effects in materials.

Deformation Analysis: Small Strain and Kinematics

Explores small strain theory, kinematics, and compatibility conditions in solid mechanics.

Continuum Mechanics: Forces and Deformation

Explores the laws of dynamics, stress, energy conservation, and deformation in continuum mechanics.

Nonlinear Beam Theory

Covers stress-strain relations, constitutive relations, and buckling of a circular ring in nonlinear beam theory.