COMPOSITE_MATERIALS_module_8_Macro_Mechanics_Lamina

COMPOSITE_MATERIALS_module_8_Macro_Mechanics_Lamina - ME...

Info iconThis preview shows pages 1–10. Sign up to view the full content.

View Full Document Right Arrow Icon
1 ME 624: MECHANICS OF COMPOSITE MATERIALS Module 8: Macro-mechanical Analysis of a Lamina (ply) (Material Based on Ch. 2 of “Mechanics of Composite Materials” textbook by Artur Kaw)
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
2 Mechanics of Mechanics of composite composite materials in a materials in a glimpse glimpse
Background image of page 2
3 Laminate Ply #2 Ply #3 A 3-Ply Stack-up (Laminate or Composite) Fiber Cross-Section Matrix Material Ply #1
Background image of page 3

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
4 -E 1 E 2 G 12 ν 12 −σ 1T σ 1C σ 2T σ 2C τ 12 - α 1 α 2 - β 1 β 2 Matrix & Fiber properties: Fractional volume: ν m ν f Stiffness : E m E f (Msi or MPa) Poisson’s ratio : ν m ν f Strength : σ m σ f (psi or MPa) Thermal expansion coefficient : α m and α f (m/m/C) Moisture expansion coefficient : β m and β f (m/m/kg/kg) Lamina (single ply) properties: Lamina (single ply) stress-strain analysis: Stiffness Matrix [Q] & Compliance Matrix [S] Laminate (composite) stress-strain analysis: [A] [B] [D] matrices + Fiber Matrix Micromechanics of a Lamina (Chapter 3) Macromechanics of a Lamina (Chapter 2) Homogeneous Orthotropic Layer Macromechanics of a Laminate (Chapter 4) Analysis and Design of Laminated Structures (Chapter 5) Laminate Structural Element
Background image of page 4
5 The overall objective is to: Develop equations to understand the mechanical response of a Develop equations to understand the mechanical response of a lamina (single ply) to mechanical and lamina (single ply) to mechanical and hygrothermal hygrothermal loads loads . Specifically : Module 8 (Chapter 2) Macro-mechanical Analysis of a Lamina Objectives: • Review definitions of stress, strain, elastic moduli and strain energy • Develop stress-strain relationships for different types of materials • Develop stress-strain relationships for unidirectional lamina • Find the engineering constants of a unidirectional lamina in terms of the stiffness and compliance parameters of the lamina (single ply) • Develop stress-strain relationships, elastic moduli, strengths, and thermal and moisture expansion coefficients for angle ply based on those of a unidirectional lamina (given the angle of the ply)
Background image of page 5

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
6 Peculiarities of Peculiarities of composite composite materials materials
Background image of page 6
7 Deformed State w+ δ 2B δ 1B P P Undeformed State Undeformed State w w w w t w t 2 1 Deformed State δ 1A δ 2A P P Case A Case B eformation of an isotropic material B A B A 1 2 2 1 δδ δ = = (2.1 a,b)
Background image of page 7

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
8 eformation of an isotropic material B A B A 1 2 2 1 δδ δ = = Æ A A A A w w 2 1 2 1 1 2 12 ε ν = = = Deformed State w+ δ 2B δ 1B P P Undeformed State w w w w δ 1A δ 2A P Case A Case B B B B B w w 1 2 1 2 2 1 21 = = = But, recall that 21 12 = =
Background image of page 8
9 Deformed State w+ δ 2B δ 1B P P t w t 1 2 Fiber Cross Section ndeformed state w w Undeformed State w w Deformed State δ 2A δ 1A P P Case A Case B ………. Deformation of an orthotropic material (lamina) w/ fibers at 0 degrees (unidirectional) .. Contrast this to the …. .
Background image of page 9

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Image of page 10
This is the end of the preview. Sign up to access the rest of the document.

Page1 / 187

COMPOSITE_MATERIALS_module_8_Macro_Mechanics_Lamina - ME...

This preview shows document pages 1 - 10. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online