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Declared geometry-factor screen

Mode-I fracture intensity

Inputs

User-entered dimensionless factor from a geometry-specific validated source; this workspace does not select it.
User-entered nominal tensile stress in the stated linear-elastic model.
User-entered half crack length for the geometry-factor definition.
User-entered reference used only for literal ratio arithmetic; no fracture conclusion is made.

Results

A wrong number here has physical consequences. Check the method and the boundary below before using this result, and have it reviewed by someone accountable for the design.

Mode-I stress intensityKI

14.037

MPa√m
Intensity / declared toughness reference

0.28074

Declared-reference minus intensity

35.963

MPa√m
KI = Yσ√(πa); ratio = KI / KIC,declared

A first-pass number, not a code check, certification, or approval. Read the method and its limits below. What this is and is not.

Nearby: Axial response · Beam deflection & reactions · Elastic stability · Solid-shaft torsion

Method

Formula, when it applies, and when it does not

Calculate one Mode-I linear-elastic stress intensity and its ratio to a toughness reference without interpreting crack behavior.

KI = Yσ√(πa); ratio = KI / KIC,declared

When

  • Mode-I opening loading
  • Declared geometry factor
  • Linear-elastic fracture-mechanics arithmetic
  • User-entered toughness reference

Don’t

  • This is declared-geometry-factor Mode-I linear-elastic fracture-mechanics arithmetic. Stress intensity depends on detailed geometry and loading; this workspace does not infer a factor, establish LEFM applicability, determine fracture or crack growth, predict life, define inspection intervals, select a material, establish safety, or approve a design.
Applied Mechanics of Solids LEFM chapter