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Lecture
Laminate Analysis: Introduction
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Related lectures (51)
3D Linear Elasticity & Beams
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Introduces 3D linear elasticity, beams, dimensional analysis, and mechanics of slender structures.
Elasticity: Stiffness and Compliance Tensors
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Covers stiffness and compliance tensors, Hooke's law, stress-strain relations, and material symmetries.
Linear Elasticity: Spherically-Symmetric Problems
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Explores linear elasticity in spherically-symmetric problems and axially-symmetric cylindrical shells.
Homogenization Theory: Isotropic Phases and Laminated Plates
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Explores the rigorous bounds on effective properties of isotropic phases and laminated plates.
Macromechanics of Orthotropic Composites
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Explores the behavior of orthotropic composites under plane stresses and the elasticity of anisotropic materials.
Fracture Mechanics: Crack Growth and Weakest Link
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Explores fracture mechanics, crack growth, and the weakest link theory, emphasizing the statistical distribution of crack sizes and the significance of the largest crack in material failure.
Homogenization with Eshelby: Multiple Inclusions, Effective Moduli
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Explores homogenization with Eshelby, analyzing multiple inclusions and effective moduli in composite materials.
Boundary Value Problems in Elasticity
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Explores Boundary Value Problems in Elasticity, stress-strain relations, and the use of Green's function in solving elasticity problems.
Kinematics: Deformation and Expansion
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Explores kinematics of deformation, focusing on radial and linear expansion, torsion, and rotation by an angle.
Eshelby Method: Modulus Mismatch and Eigenstrains
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Discusses stress concentrations, modulus mismatch, and eigenstrains in materials.
Hyperelasticity: Basic Theory and Applications
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Covers hyperelasticity basics, including stress-strain response, energy density, and isotropic materials.
Deformation Analysis: Small Strain and Kinematics
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Explores small strain theory, kinematics, and compatibility conditions in solid mechanics.
Laminate Analysis: Stresses and Failures
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Covers the analysis of stresses and failures in laminated composites, including the computation of stresses at the ply level.
Symmetric Stress Tensor
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Explains principal stresses, spectral decomposition, simple states of stress, and the importance of a symmetric stress tensor.
Linear Elasticity (3D)
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Explores linear elasticity in 3D, stress-strain relationship, isotropic materials, and shear stress importance.
Anisotropic Elasticity 2: Symmetry Operations, Multiphysics
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Covers anisotropic elasticity, symmetry operations, and multiphysics in material science.
3D Linear Elasticity & Beams
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Covers 3D linear elasticity, stress, strain, beams' behavior under loads, and torsion.
Anisotropic Elasticity: Stroh Formulation
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Explores the Stroh formulation for anisotropic elasticity and issues with current solution techniques.
Shock Waves and Brittle Material Response
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Covers shock waves, brittle material response, phase transformation, and Hugoniot relationships in materials under stress.
Internal Equilibrium of Solids
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Covers the theory of elasticity, internal equilibrium, stress, and strain in deformable solid bodies.
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