Stress at a specified plastic strain offset on the engineering stress–strain curve when a distinct yield point is absent; Rp0.2 at 0.2% offset is the most common metals reporting convention.

Material testing

Proof Stress

Stress at a specified plastic strain offset on the engineering stress–strain curve when a distinct yield point is absent; Rp0.2 at 0.2% offset is the most common metals reporting convention.

Formula

Rp0.2 at εp = 0.2%

A line parallel to the elastic modulus intersects the curve at 0.2% plastic strain; the stress at that intersection is proof strength per ISO 6892-1 / ASTM E8.

What it measures

Proof stress reports the onset of plastic deformation when the stress–strain curve has no sharp yield knee. Laboratories specify an offset strain (typically 0.2% plastic strain) and read the intersecting stress as Rp0.2.

How it is tested

A tensile specimen is loaded in a universal testing machine with an extensometer on the gauge length. Software or manual analysis draws the offset line parallel to the elastic slope and records proof stress at the intersection.

Standards and reporting

ISO 6892-1 and ASTM E8 define offset proof strengths (Rp0.1, Rp0.2, and others). Report the offset used, strain rate, and specimen geometry because proof stress is rate- and geometry-sensitive.

Common errors

Machine compliance at low force, grip slippage, and misaligned extensometers inflate apparent proof stress. Using the wrong offset for spring or aerospace alloys can misstate elastic design limits.

Related standards

Compatible equipment

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