Lecture04

# Lecture04 - ME 382/ix/10 1 M ULTIAXIAL STRAIN& STIFFNESS...

This preview shows pages 1–3. Sign up to view the full content.

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

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: ME 382 Lecture 04 15/ix/10 1 M ULTIAXIAL STRAIN & STIFFNESS Isotropic linear elasticity • Normal stresses and strains are related by: i) Young’s modulus: E ii) Poisson’s ratio: ν − 1 ≤ ν ≤ 0.5 For most materials 0.2 ≤ ν ≤ 0.5 • Shear stresses and strains related by: ε xx = σ xx / E ε zz = σ zz / E ε yy = ε zz = − νε xx = − νσ xx / E ε xx = ε yy = − νε zz = − νσ zz / E (no cross terms for shear) ε yy = σ yy / E γ xy = τ xy / G ε xx = ε zz = − νε yy = − νσ yy / E γ xz = τ xz / G γ yz = τ yz / G ME 382 Lecture 04 15/ix/10 2 In general : 3-D Hooke’s Law ε xx = σ xx − νσ yy − νσ zz ( ) / E ε yy = − νσ xx + σ yy − νσ zz ( ) / E ε zz = − νσ xx − νσ yy + σ zz ( ) / E γ xy = τ xy / G γ xz = τ xz / G γ yz = τ yz / G Special cases: (i) Plane stress: One stress = 0; e.g. , σ zz = 0 (such as at free surface) (ii) Plane strain: One strain = 0; e.g. , ε zz = 0 (constraint in rigid die) Volumetric strain:...
View Full Document

{[ snackBarMessage ]}

### Page1 / 5

Lecture04 - ME 382/ix/10 1 M ULTIAXIAL STRAIN& STIFFNESS...

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online