Lectures related to Mechanics of Continuous Media: Deformations

Stress and Strain Transformations

Explores stress and strain transformations, main stresses, safety factors, and failure criteria in structural mechanics.

Internal Equilibrium of Solids

Covers internal equilibrium of solids, stress analysis, beam deformation, and rupture criteria.

Simple Traction or Compression

Covers general notions and hypotheses of simple traction or compression, stress analysis, and strain energy in materials.

Simple Shear: General Notions and Applications

Explores simple shear, shear stress, strain energy, stress analysis, and torsional shear stress in simple twist.

Constraints and Deformations in 3D

Explores constraints and deformations in 3D, stress matrices, internal forces, and shear stresses.

Principal Stresses and Mohr's Circle

Explores principal stresses, Mohr's Circle, triaxial stress, Hooke's Law, and strain measurements.

Deformation and Strain Tensors

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

Laminate Analysis: Introduction

Introduces the theory behind laminates and their applications in different industries.

Wire Drawing: Frictional Forces and Plastic Deformation

Explores frictional forces and plastic deformation in wire drawing processes.

Material Properties and Stress-Strain Curves

Explores material properties, stress-strain curves, stress concentration, and failure criteria in structural mechanics.

Fatigue Resistance of Concrete Bridges

Explores the impact of forces on concrete bridges, focusing on resistance verification and fatigue analysis.

Deformations and Constraints

Covers relative deformations, flexibility matrix, stress relations, and internal forces in structures.

Mechanics of Slender Structures: Final Review and Overview

Covers the main learning objectives of ME-411, focusing on dimensional analysis, scalings, and mechanical elements.

Two-Dimensional Stress State

Explores two-dimensional stress states, energy density, constraints, and practical examples.

Continuum Mechanics: Deformation and Compatibility Equations

Explores deformation, compatibility equations, stress analysis, and principal stresses in continuum mechanics.

Transformation: Constraints and Deformations

Explores the transformation of constraints and deformations in materials, focusing on stress analysis and tensor diagonalization.

3D Linear Elasticity & Beams

Introduces 3D linear elasticity, beams, dimensional analysis, and mechanics of slender structures.

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.

Geometrically Necessary Dislocations in Materials

Explains geometrically necessary dislocations in materials and their role in reducing work hardening.

Plasticity and Deformation in Metals

Explores plasticity, work hardening, critical stress states, and deviatoric stresses in metals.