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Lecture
The Strain Tensor: Derivation and Properties
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Related lectures (32)
Deformation and Strain Tensors
Explores deformation and strain tensors, Lagrange representation, elasticity theory, and the divergence theorem.
Normal Stresses: Internal Stress and Strain
Introduces internal stress and strain, material properties, and design considerations for axial loads and direct shear.
Elasticity and Deformation
Covers stress, strain, modulus of elasticity, and material behavior under different loads.
Solid Mechanics: Stress, Strain, Invariants
Explores stress, strain invariants, constitutive laws, failure criteria, and material properties in solid mechanics.
Mechanics of Continuous Media
Explores stress-strain relationships, equilibrium of forces, and material properties in mechanics.
Solid mechanics in biomechanics: Large strain and stress definitions
Explores large strain in soft tissues and various stress definitions in solid mechanics.
Theory of Elasticity
Explores the theory of elasticity, including Hooke's law, strain tensors, stress tensor, and thermodynamics of deformation.
Linear Elasticity (3D)
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Explores linear elasticity in 3D, stress-strain relationship, isotropic materials, and shear stress importance.
Linear Elasticity in 3D: Beam Bending
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Covers linear elasticity in 3D, focusing on beam bending and stress-strain behavior of materials.
Structural Mechanics: Beam Bending and Boundary Conditions
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Explores the moment-curvature relation for beams, emphasizing stress distribution and typical boundary conditions.
Finite & Infinite Deformation: Key Distinction
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Explains the geometric interpretation of eigen vectors and values in material deformation.
3D Linear Elasticity & Beams
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Covers 3D linear elasticity, stress, strain, beams' behavior under loads, and torsion.
Elastic Deformation: Material Properties
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Explores material properties, stress, strain, and deformation gradient in elastic deformation.
Elasticity and Beam Bending
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Explores linear elasticity, stress-strain relationships, and beam bending kinematics with a focus on stress tensors and internal forces.
Stiffness vs Strength: Deformation and Load
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Covers stiffness, strength, strain, stress, and strain measurement in structural mechanics.
Linear Elasticity: 3D
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Covers linearity between stress and strain in 3D and isotropic linear elasticity equations.
Introduction to Structural Mechanics: Stress and Strain
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Covers stress equilibrium, strain, and constitutive equations in 2D and 3D.
Mechanics of Slender Structures: Elasticity & Buckling
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Explores 3D elasticity, beam bending, and buckling phenomena in slender structures.
Axial Loading: Stress and Strain in Deformable Bodies
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Covers axial loading, stress, strain, and their implications in deformable bodies.
Stress and Strain: Real vs Nominal
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Explores real and nominal strain rates, stress, deformation, and force in materials testing.
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