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Lecture
Mechanics of Continuous Media: Stress and Strain
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Related lectures (46)
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.
Axial Deformation in Elasticity: Fundamentals
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Explores equilibrium equations, strain linearity, Hooke's law, and boundary conditions.
Boundary Value Problems in Elasticity: Superposition, Work-Energy
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Covers stress-strain relations, superposition principle, and work-energy theorem.
Relative Deformation in 3D: Strain Matrix
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Explores relative deformation in 3D through strain matrix and displacement gradient, emphasizing constraints, stress-strain relations, and equilibrium equations.
Stress and Strain (beyond 1D)
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Covers stress and strain beyond 1D, focusing on hyperstatic systems with pre-stressed elements and internal loads.
Stiffness vs Strength: Deformation and Load
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Covers stiffness, strength, strain, stress, and strain measurement in structural mechanics.
Deformations and Constraints
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Elasticity: Hooke's Law
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Strain and Stress Analysis
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Explores the analysis of strain and stress, emphasizing the importance of understanding strain energy and strain tensor components.
Eshelby Inclusion: Mechanics and Eigenstrains
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Explores the Eshelby method for mechanics of inclusions and eigenstrains, focusing on stress and strain fields inside inclusions.
Frames & Arches: Internal Loads
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Covers the matching conditions for frames and arches, discussing the discontinuities in V and M.
Stress & Strain in Structural Mechanics
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Covers stress, strain, equilibrium, forces, deformation, constitutive law, and photoelasticity in structural mechanics.
Simple Traction or Compression
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Internal Equilibrium of Solids
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Stokes Formula in Hydrodynamics
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Non-Straight Beams in Structural Mechanics
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Weak Formulation of Elliptic PDEs
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Non-straight Beams: Frames & Arches
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Explores non-straight beams, frames, arches, internal load diagrams, stress resultants, and reaction calculations.
Existence of Minimizers: Direct Methods
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Covers direct methods for finding minimizers in the Poisson equation, emphasizing the importance of convexity and boundary conditions.
Symmetry in Finite Element Models
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Explores using symmetries in Finite Element models to simplify boundary conditions and reduce rigid-body motions.
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