Lectures related to Fracture Mechanics: Crack Growth and Weakest Link

Weibull Model: Random Data

Explores the Weibull model's application to random data and its significance in analyzing material strength and failure probability.

Fracture Analysis: Energy and Mechanics

Explores macroscopic energy analysis of fracture, focusing on unstable crack growth and energy mechanics.

Fracture Mechanics: Energy Analysis

Explores energy analysis in fracture mechanics, emphasizing unstable crack growth and the importance of compliance in structural behavior.

Laminate Analysis: Stresses and Failures

Covers the analysis of stresses and failures in laminated composites, including the computation of stresses at the ply level.

Data Analysis Techniques: Amplitude Shift Keying and Graphical Methods

Covers amplitude shift keying and various data analysis techniques using Jupyter Notebooks.

Homogenization Theory: Isotropic Phases and Laminated Plates

Explores the rigorous bounds on effective properties of isotropic phases and laminated plates.

Rigorous Bounds: Isotropic Phases

Explores rigorous upper and lower bounds for isotropic phase composites and their microstructure arrangement, focusing on laminated plates and stress-strain relationships.

Turbulence: Numerical Flow Simulation

Explores turbulence characteristics, simulation methods, and modeling challenges, providing guidelines for choosing and validating turbulence models.

Composite Laminate Analysis

Covers the Classical Laminate Theory for analyzing stresses in composite laminates.

Solid Mechanics Principles: Eigenstrains

Covers eigenstrains, deformations in a body not caused by stress, and their significance in mechanics.

Composite Elastic Constants

Covers the derivation of exact results for small strains in composite materials and the implications of experimental data outside these limits.

Reservoirs and Dams: Hydraulic Construction and Sizing

Explores sizing reservoirs and dams using cumulative flow curves and tank dimensioning for dry and rainy periods.

Statistical Mechanical Resistance: Ceramics

Covers statistical mechanical resistance in ceramics, including Weibull statistic and stable cracking behavior in compression.

Composite Materials: Bounds and Microstructures

Delves into homogenization in composite materials, deriving rigorous bounds and discussing statistical parameters and microstructures.

Fracture Mechanics: Crack Growth and Stress Intensity Factor

Explores crack growth, stress intensity factor, and fracture toughness in materials.

Classical Laminate Theory

Covers Classical Laminate Theory for solving mechanics problems with multiple material layers, discussing displacements, strains, stresses, and equilibrium.

Probability and Statistics: Basics and Applications

Covers fundamental concepts of probability and statistics, focusing on data analysis, graphical representation, and practical applications.

Solid Mechanics Principles: Greens Functions

Explores Greens functions in solid mechanics, emphasizing the solution of point forces and their impact on displacement fields.

Shock Waves and Brittle Material Response

Covers shock waves, brittle material response, phase transformation, and Hugoniot relationships in materials under stress.

Probability Theory: Midterm Solutions

Covers the solutions to the midterm exam of a Probability Theory course, including calculations of probabilities and expectations.