Lectures related to Constitutive equation

Nonlinear beam theory

Covers strain-displacement relations, equilibrium equations, and energy functional in nonlinear beam theory with small strain and moderate rotation.

Nonlinear Analysis of Structures: Beam-Column Elements

Covers beam-column elements, limitations of plasticity models, and nonlinear geometric transformations in structural analysis.

Introduction to Structural Mechanics: Stress and Strain

Covers stress equilibrium, strain, and constitutive equations in 2D and 3D.

Elasticity: Constitutive Modelling in Geomechanics

Explores constitutive equations in geomechanics, stress-strain behavior, and practical applications in engineering.

Empirical Constitutive Relations

Explores empirical constitutive relations, dislocation movement, and thermally activated motion in material science.

Shear Bands and Shockwave Introduction

Explores adiabatic shear bands, shockwaves, and their impact on materials, including experimental investigations and metallurgical aspects.

Elasticity: Constitutive Modelling in Geomechanics

Explores constitutive modelling in geomechanics, focusing on stress-strain behavior and the application of elastic models in analytical and numerical methods.

String Approximations: Sag Analysis

Explores different string models and their sag implications under various approximations.

Generalized Hooke Law: Deformation and Stiffness Matrices

Explores the Generalized Hooke Law, stiffness matrices, and deformation effects in materials.

Rheology: Constitutive Law and Cats

Explores the rheology of materials, drawing parallels between cats' behavior and material properties.

Continuum Mechanics: Forces and Deformation

Explores the laws of dynamics, stress, energy conservation, and deformation in continuum mechanics.

Nonlinear Beam Theory: Mechanics of Slender Structure

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

Deformable Bodies: Introduction to Structural Mechanics

Covers deformable bodies, stress-strain relationships, material properties, and structural failure in structural mechanics.

Hyperelasticity: Models for Hyperelastic Materials

Explores hyperelasticity, constitutive models, incompressibility, and stiffness response in isotropic materials.

Matched Approximations of a Clamped Filament

Covers the derivation of equations for the equilibrium of an inextensible string and the development of a hybrid model.

Modified Cam Clay Model

Covers the Modified Cam Clay Model, stress paths, pore pressure, settlements, and applications in geotechnical problems.

Nonlinear Beam Theory

Covers stress-strain relations, constitutive relations, and buckling of a circular ring in nonlinear beam theory.

Generalized Hooke Law: 3D

Explores the Generalized Hooke Law in 3D, stress-strain relationships, and material properties.

Introduction to Structural Mechanics

Introduces key concepts in structural mechanics, such as determinate and indeterminate systems, linear superposition, and stress-strain relationships.

Plates I: Deformation, Strain, Stress, and Wrinkling

Covers deformation, strain, stress, and wrinkling in plates under pure bending, exploring applications and bending stiffness.