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Engineering Stress
The instantaneous load (F) applied to a specimen divided by its original cross-sectional area (A₀).
Engineering Strain
The change in length (ΔL) of a specimen divided by its original length (L₀).
True Stress
The load (F) divided by the instantaneous cross-sectional area (Ai) over which the force is applied.
True Strain
The natural log of the ratio of the instantaneous length to the original length (ln(Li/L₀)).
Elastic Deformation
Non-permanent deformation; the material returns to its original shape when the applied load is released.
Plastic Deformation
Permanent and non-recoverable deformation that occurs after the release of an applied load.
Young's Modulus (Modulus of Elasticity)
The slope of the linear-elastic region of the stress-strain curve; it represents a material's stiffness.
Proportional Limit
The point on a stress-strain curve where the linear relationship between stress and strain ceases.
Yield Strength
The stress level at which a material begins to exhibit permanent (plastic) deformation; typically found using the 0.002 strain offset.
Tensile Strength
The maximum engineering stress sustained by a specimen; represents the onset of necking in ductile metals.
Ductility
A measure of the degree of plastic deformation a material can withstand before fracture (measured by % elongation or % reduction in area).
Resilience
The capacity of a material to absorb energy when deformed elastically and recover that energy upon unloading.
Toughness
The ability of a material to absorb energy and deform plastically before fracturing (the total area under the stress-strain curve).
Poisson's Ratio
The ratio of lateral strain to axial strain when a material is under tension or compression.
Slip
The process by which plastic deformation is produced by the motion of dislocations through a crystal lattice.
Solid Solution Strengthening
Increasing material strength by alloying with impurity atoms that create lattice strains and restrict dislocation motion.
Grain Size Reduction
Strengthening a material by reducing grain size; grain boundaries act as barriers to dislocation motion (Hall-Petch effect).
Strain Hardening (Cold Working)
The process where a ductile metal becomes harder and stronger as it is plastically deformed due to increased dislocation density.
Recrystallization
The formation of a new set of strain-free, equiaxed grains in a cold-worked metal by heating it above a specific temperature.
Fracture
The separation of a body into two or more pieces in response to a static stress.
Fatigue
Failure that occurs under cyclic or fluctuating stress levels, often at stresses much lower than the tensile strength.
Beachmarks
Macroscopic marks on a fatigue fracture surface that indicate periods of crack growth or interruptions in loading.
Striations
Microscopic features on a fatigue fracture surface where each mark represents the crack advance distance during a single load cycle.
Strength (in conversation)
A general term often used loosely to mean yield strength or resistance to deformation.