Mechanics of Composite Materials OCW

CHAPTER 3: Micromechanics of a Lamina Worked Out Examples

Section 3.1 Introduction

None

Section 3.2 Volume and Mass Fractions, Density and Void Content

Finding Density of an Intraply Hybrid Composite [PDF] [HTML]

Finding Void Fraction in a Lamina [PDF] [HTML]

Fiber Volume Fraction [PDF] [HTML]

Section 3.3 Evaluation of Four Elastic Moduli

Why are Halpin-Tsai Equations called semi-empirical? [PDF] [HTML]

Elastic Moduli using Halphin-Tsai with Circular Fibers in Square Array [PDF] [HTML]

Elastic Moduli using Halphin-Tsai with Rectangular Fibers in Hexagonal Array [PDF] [HTML]

Elastic Moduli using Mechanics of Materials [PDF] [HTML]

Section 3.4 Ultimate Strengths of a Unidirectional Lamina

Ultimate Longitudinal Compressive Strength of Lamina [PDF] [HTML]

Ultimate Longitudinal Tensile Strength of Lamina [PDF] [HTML]

Ultimate Transverse Compressive Strength of Lamina [PDF] [HTML]

Ultimate Transverse Tensile Strength in Lamina [PDF] [HTML]

Hybrid Composite Ultimate Strength [PDF] [HTML]

Hybrid Composite with 2 Fibers [PDF] [HTML]

Section 3.5 Coefficients of Thermal Expansion

Derivation of Transverse Thermal Expansion Coefficient [PDF] [HTML] This derivation is optional but you do need to know the formula inside-out

Longitudinal Coefficient of Thermal Expansion of Lamina [PDF] [HTML]

Transverse Coefficient of Thermal Expansion of Lamina [PDF] [HTML]

Deriving the Transverse Cofficient of Thermal Expansion Formula [PDF] [HTML]

Section 3.6 Coefficients of Moisture Expansion

Change in Volume [PDF] [HTML]

Longitudinal Coefficient of Moisture Expansion of Lamina [PDF] [HTML]

Transverse Coefficient of Moisture Expansion of Lamina [PDF] [HTML]