// multi-utility computation suite · offline · instant · precise
┌──────────────────────────┐
│ [c] calcalyst_ │
│ computation suite │
└──────────────────────────┘
// select a module to initialize
/ search↵ open firstesc close
// adsenseEMPTY_LEADER_SLOT728×90
// keyboard shortcuts
/focus search
Escclear search · close calc
Enteropen first result
↑↓navigate list
?toggle this panel
// adsenseMOBILE_ANCHOR_SLOT320×50
// keyboard_shortcuts
/focus search
↑↓navigate module list
Enter
open first result from search
open highlighted
compute when module is open
compute when focused in a field
Escclose module · clear selection
⌫
eng.J-integral-EPFM Calculator
Calculates the J-integral for elastic-plastic fracture mechanics from material properties, crack dimensions, and applied stress. The J-integral characterises the crack driving force in ductile materials where plasticity prevents direct use of the stress intensity factor K.
Inputs
Sigma Y Mpa
Internal force per unit area (Pa or MPa). Must stay below yield strength in service.
E Gpa
Material stiffness (GPa). Stress divided by strain in the elastic range. Steel: 200 GPa. Aluminium: 70 GPa. Rubber: 0.01–0.1 GPa.
N Hardening
Dimensionless fractional deformation. Elastic strain is recoverable; plastic strain is permanent.
A Mm
Linear measurement. Ensure consistent units: 1 m = 1,000 mm = 3.281 ft.
Sigma Applied Mpa
Internal force per unit area (Pa or MPa). Must stay below yield strength in service.
Results
elastic J (N/m)
Sample size or count used in the calculation.
total J-integral estimate J (N/m)
Area under the curve between the specified limits. In physics: integral of velocity = displacement; integral of force over time = impulse.
J/Jel enhancement factor
A dimensionless multiplier applied in the calculation.
Je = σ²πa/E
Reference formula or conversion factor shown for context.
J-integral accounts for plasticity
Area under the curve between the specified limits. In physics: integral of velocity = displacement; integral of force over time = impulse.
critical Jc
Reference formula or conversion factor shown for context.