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Energy Density: Relative Strain Energy
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Related lectures (32)
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Explores deformation and strain tensors, Lagrange representation, elasticity theory, and the divergence theorem.
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Elasticity Theory: Kinematics and Constitutive Laws
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Geomechanics: Course Introduction
Introduces the study of geomechanics, covering the behavior of soils, rocks, and concrete in civil engineering applications.
Introduction to Structural Mechanics
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Covers the basics of structural mechanics, including static forces, stress, strain, and structural elements like bars, cables, trusses, and beams.
Linear Elasticity: 3D
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Covers linearity between stress and strain in 3D and isotropic linear elasticity equations.
Generalized Hooke Law: Deformation and Stiffness Matrices
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Explores the Generalized Hooke Law, stiffness matrices, and deformation effects in materials.
Nonlinear Beam Theory: Mechanics of Slender Structure
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Covers strain-displacement relations, simplifications, constitutive relations, equilibrium equations, and circular rings.
Plates I: Deformation, Strain, Stress, and Wrinkling
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Covers deformation, strain, stress, and wrinkling in plates under pure bending, exploring applications and bending stiffness.
Nonlinear beam theory
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Covers strain-displacement relations, equilibrium equations, and energy functional in nonlinear beam theory with small strain and moderate rotation.
Introduction to Structural Mechanics
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Introduces key concepts in structural mechanics, such as determinate and indeterminate systems, linear superposition, and stress-strain relationships.
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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Solid Mechanics Principles: Eigenstrains
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Stiffness vs Strength: Deformation and Load
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Empirical Constitutive Relations
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Explores empirical constitutive relations, dislocation movement, and thermally activated motion in material science.
Introduction to Structural Mechanics
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Covers the fundamentals of structural mechanics, including axial loading, stress, strain, and generalized uniaxial loading.
Plates: Deformation, Energy, Wrinkling
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Covers the deformation of plates in pure bending, total strain energy, and applications like wrinkling.
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