Open Access

Modelling of Creep Crack Growth using Fracture Mechanics and Damage Mechanics Methods

  
Jun 26, 2025

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Fig. 1.

Comparison of the ductility obtained on the basis of the Kachanov and Manjoine models
Comparison of the ductility obtained on the basis of the Kachanov and Manjoine models

Fig. 2.

Compact tension specimen
Compact tension specimen

Fig. 3.

Finite element mesh with symmetric boundary conditions
Finite element mesh with symmetric boundary conditions

Fig. 4.

Comparison of results of the Kachanov model with chosen experimental points of uniaxial tension creep of 316 steel at a temperature of 550°C [14]
Comparison of results of the Kachanov model with chosen experimental points of uniaxial tension creep of 316 steel at a temperature of 550°C [14]

Fig. 5.

C*-integral for stationary creep (blue circles), and C(t) for a model with damage (orange squares) as a function of crack length
C*-integral for stationary creep (blue circles), and C(t) for a model with damage (orange squares) as a function of crack length

Fig. 6.

Flowchart of numerical simulation of crack growth
Flowchart of numerical simulation of crack growth

Fig. 7.

Crack growth simulation for stationary creep (solid blue line) and for the creep damage model (dashed orange line) obtained on the basis of FM equations
Crack growth simulation for stationary creep (solid blue line) and for the creep damage model (dashed orange line) obtained on the basis of FM equations

Fig. 8.

Crack initiation time ti and the time to failure tf as a function of minimum mesh size for local and non-local damage models
Crack initiation time ti and the time to failure tf as a function of minimum mesh size for local and non-local damage models

Fig. 9.

Simulation of crack growth by local damage model for different mesh sizes (the time scale for mesh size 0.5 mm is ten times greater than for the other meshes)
Simulation of crack growth by local damage model for different mesh sizes (the time scale for mesh size 0.5 mm is ten times greater than for the other meshes)

Fig. 10.

Simulation of crack growth by the non-local damage model for different mesh sizes
Simulation of crack growth by the non-local damage model for different mesh sizes

Parameters of CT test [18]

T [°C] W [cm] B (width) [cm] a [cm] P [kN] tf [h]
550 50 25 16.67 19.620 40 200