Midterm 265 Flashcards
(208 cards)
Engineering Stress (σ)
Force per unit area - σ = F/A - from axial loading (tension/compression) - Pa = N/m²
Engineering Strain (ε)
Change in length per unit of original length - ε = Δl/l - unitless
Shear Stress (τ)
Shear force per unit area - τ = F/A - Pa = N/m²
Shear Strain (γ)
Change in length per unit of original length caused by shear force - γ = tan(θ) = w/l - θ is angle of shear deformation
Elastic Deformation
Stress-strain relationship is proportional upon loading/unloading, not permanent, caused by small changes in atomic spacing and stretching of atomic bonds
Linear Elastic Deformation
Straight-line relationship between stress and strain
Non-Linear Elastic Deformation
Nonlinear (curved) relationship between stress and strain
Modulus of Elasticity (E)
Slope of the linear elastic region of the stress-strain curve - E is the modulus of elasticity (Young’s Modulus)
Poisson’s Ratio (ν)
Ratio of axial to lateral strain - ν = -εx/εz = -εy/εz - z (axial direction), x+y (lateral directions)
Shear Modulus (G)
Slope of the shear stress versus shear strain curve in the elastic region - G = τ/γ
Isotropic
Having material properties that are independent of direction and the same in each direction
Relationship between E and G (Isotropic Materials)
E = 2G(1 + ν)
Anisotropic
Elastic material properties depend on crystallographic direction; more parameters are required to describe behavior
Polycrystalline Materials Assumption
Crystal orientation is often random; isotropic material behavior can be assumed
Plastic/Elasto-plastic Deformation
Stress-strain relationship upon loading/unloading is non-proportional; bonds are broken and new bonds are made
Proportional Limit (P)
Defines transition from linear to non-linear elastic behavior; somewhere below yield stress - MPa
Yield Stress (σy or fy)
Defines the transition between elastic and plastic behavior; important design parameter
Determining Yield Stress
0.2% rule - parallel line drawn through point corresponding with 0.002 strain at zero load, intersection with stress-strain curve is taken as yield stress
Strain Hardening
Further increase in stress in plastic region
Ultimate Tensile Strength (UTS) (σu or fu)
Maximum tensile stress
Necking
Localized narrowing of specimen after ultimate tensile strength (UTS)
Fracture
Total failure of the specimen; fracture strength = stress at fracture
Strain Gauges
Devices that convert tension and compression forces that can be converted into resistance
Load Cell
Arrangement of four strain gauges arranged in a Wheatstone bridge