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Elastic-Plastic Fracture Mechanics (EPFM)

Definition

The extension of fracture mechanics to ductile materials where significant plasticity occurs before fracture. The J-integral and crack tip opening displacement (CTOD) are the EPFM equivalents of K_IC.

Field
Extension of fracture mechanics
Applies to
Ductile materials with plasticity before fracture
Key parameters
J-integral, CTOD
Analogue in LEFM
K_IC (stress intensity factor)

Common questions

Why can't linear elastic fracture mechanics be used for ductile metals?+

Linear elastic fracture mechanics assumes the material stays elastic right up to the crack tip, but ductile metals develop a significant plastic zone before they fracture, which invalidates that assumption and requires the J-integral or CTOD to properly characterise the failure.

How is EPFM applied in a forensic failure investigation?+

An examiner uses EPFM parameters to judge whether a fracture in a ductile component, such as a structural steel part or a pipe, is consistent with overload failure at the material's known toughness or points instead to a pre-existing flaw, fatigue crack, or degraded material property.

Related terms

Fracture Toughness (K_IC)
The critical stress intensity factor measured under plane-strain conditions. It is a material property representing the maximum K a component can tolerate...
Griffith Criterion
The energy-balance condition derived by A.A. Griffith in 1921: a crack extends when the elastic strain energy released per unit area of...
Linear Elastic Fracture Mechanics (LEFM)
The branch of fracture mechanics valid when the plastic zone at the crack tip is small relative to the crack length and...
Plane Stress vs Plane Strain
In thin sections the crack-tip region contracts freely in the thickness direction (plane stress), giving higher apparent toughness. In thick sections that...
Stress Intensity Factor (K)
A parameter, in MPa√m, describing the amplitude of the stress field near a crack tip for a given geometry and load. When...

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