ToolJoltTools

Paris Law Crack Growth Calculator

Cycles for a crack to grow between two sizes under constant ΔK loading.

0
Cycles to grow a₀ → a_f

Most of the life is spent while the crack is SMALL — growth accelerates as ΔK^m. This integral is what sets aircraft inspection intervals: find it while it's slow.

Formula

da/dN = C·ΔK^m; N = ∫da/(C·ΔK^m) — numerically integrated
References: Paris & Erdogan (1963)

Paris Law Crack Growth Calculator is a free paris law for design engineers, metallurgists and QA inspectors — instant, accurate and 100% client-side, with the governing formula and reference shown next to the result so the number can be defended, not just quoted.

About Paris Law Crack Growth Calculator

Cycles for a crack to grow between two sizes under constant ΔK loading. The calculation implements da/dN = C·ΔK^m; N = ∫da/(C·ΔK^m) — numerically integrated (Paris & Erdogan (1963)). Most of the life is spent while the crack is SMALL — growth accelerates as ΔK^m. This integral is what sets aircraft inspection intervals: find it while it's slow.

How to use Paris Law Crack Growth Calculator

  1. 1Enter Paris coefficient C (Steels ~10⁻¹¹–10⁻¹² (m/cycle, MPa√m)).
  2. 2Enter Paris exponent m.
  3. 3Enter Stress range Δσ in MPa.
  4. 4Enter Initial crack size in mm.
  5. 5Read Cycles to grow a₀ → a_f instantly — no submit button needed.

Why use Paris Law Crack Growth Calculator?

  • Implements the standard formula — da/dN = C·ΔK^m; N = ∫da/(C·ΔK^m) — numerically integrated
  • Reference cited on-page: Paris & Erdogan (1963)
  • Runs entirely in your browser — nothing uploaded, free forever

Frequently asked questions

What formula does the Paris Law Crack Growth Calculator use?+

It computes da/dN = C·ΔK^m; N = ∫da/(C·ΔK^m) — numerically integrated, per Paris & Erdogan (1963). The formula is displayed under the result.

What should I keep in mind when using this calculator?+

Most of the life is spent while the crack is SMALL — growth accelerates as ΔK^m. This integral is what sets aircraft inspection intervals: find it while it's slow.

Where do the material property defaults come from?+

Defaults are standard handbook values (ASM, manufacturer datasheets, the cited standard). Always substitute certified values from your material's test certificate for critical work.

Is the Paris Law Crack Growth Calculator free to use?+

Yes — completely free, no sign-up, no limits. It runs client-side in your browser, so inputs stay private and results are instant even on slow connections.

Related tools

Related Engineering tools

Sponsored