Gigapascals to Newtons per Square Millimetre (GPa to N/mm2)

Formula

N/mm² = GPa × 1000

Derivation from SI units:

• 1 GPa = 10⁹ Pa = 1000 MPa = 1 kN/mm²
• 1 N/mm² = 1 N ÷ 10⁻⁶ m² = 10⁶ Pa = 1 MPa
• 1 GPa = 1000000000 Pa ÷ 1000000 Pa per N/mm² = 1000 N/mm²

Both units are defined exactly, so the factor is exact. Gigapascal definition: gigapascal; Newton per Square Millimetre definition: newton per square millimetre.

Worked examples

1. A reading of 10 GPa converts to 10000 N/mm².
   10 GPa × 1000 = 10000 N/mm²
2. A value of 190 GPa is 190000 N/mm².
   190 GPa × 1000 = 190000 N/mm²

Where it's used

Gigapascals are used for young's modulus and shear modulus of metals, ceramics and composites, while newtons per square millimetre appear in steel yield and tensile strength (S355: 355 N/mm²). Both measure pressure, stress and differential pressure (force per unit area), so the conversion is a fixed factor.

Gigapascal to other pressure units

Frequently asked questions

Sources

• The International System of Units (SI), 9th edition (SI Brochure), Bureau International des Poids et Mesures , Table 7, SI prefixes.
• The International System of Units (SI), 9th edition (SI Brochure), Bureau International des Poids et Mesures , Table 4, coherent derived units with special names.

Last reviewed: 2026-10-15. Factors are stored exactly and computed with 50-digit decimal arithmetic. See how we verify conversion factors.