Lectures related to Infinitesimal strain theory

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.

Deformation and Strain Tensors

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

Deformation Analysis: Small Strain and Kinematics

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

Linear Elasticity: 3D

Covers linearity between stress and strain in 3D and isotropic linear elasticity equations.

Nonlinear Beam Theory: Mechanics of Slender Structure

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

Plates II: Föppl-von Kármán Equations

Covers the framework for plates, bending and stretching energies, and Föppl-von Kármán Equations, exploring mean and Gaussian curvatures.

Linear Elasticity: Equations of Linear Elasticity

Covers the equations of linear elasticity for static problems with small strain, emphasizing uniqueness of solutions and Navier's Equations.

Stiffness vs Strength: Deformation and Load

Covers stiffness, strength, strain, stress, and strain measurement in structural mechanics.

3D Linear Elasticity & Beams

Covers 3D linear elasticity, stress, strain, beams' behavior under loads, and torsion.

Plates II: Föppl-von Kármán Equations

Explores the theory of plates, including bending and stretching energies, and the Föppl-von Kármán Equations.

Linear Elasticity in 3D: Beam Bending

Covers linear elasticity in 3D, focusing on beam bending and stress-strain behavior of materials.

Structural Mechanics: Beam Bending and Boundary Conditions

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

Relative Deformations in 3D

Explores normal and shear strains, displacement fields, and the matrix of relative strains in 3D.

The Strain Tensor: Derivation and Properties

Explores the derivation and properties of the strain tensor, emphasizing the complexities of shear strain components.

Mechanics of Slender Structure: Loaded Beam Approximations

Covers matched approximations of a loaded beam, focusing on strain approximation and constitutive models.

Linear Elasticity: Cylindrically-symmetric Problems

Covers linear elasticity, focusing on cylindrically-symmetric problems and the simplification of Hooke's Law for axially-symmetric cases.

Solid mechanics in biomechanics: Large strain and stress definitions

Explores large strain in soft tissues and various stress definitions in solid mechanics.

Flexible Bioelectronics: Sensors and Substrates

Covers design considerations, skin structure, stress and strain, mechanoreceptors, substrates, and strain effects on electrical resistance in flexible bioelectronics.

Finite Element Families

Provides an overview of Finite Element families, including solid and shell elements, with specific examples like linear hexahedron finite elements.

Stress, Strain, Equilibrium: Elasticity

Explores stress, strain, equilibrium, and elasticity concepts, including Hooke's law and the Strain Tensor.