MasterAllRound: der PC-Rechner

MAR Deutsch Home  Deutsch


MAR Plus


About MAR

Example: crack growth (fracture mechanics)

This example explains how to solve a problem from linear fracture mechanics with MasterAllRound. The equation includes exponents.

In linear fracture mechanics, the crack growth can be solved by integrating the Paris law:
Paris law
Stress intensity
where K is the stress intensity factor and Y the compliance function, describing the geometry of the structure in which the crack exists. For some cases, Y is constant and independent of the crack length. Using this assumption is also a quick way to assess the performance of a structure. For a constant Y, the integration for m ≠ 2 is straightforward and leads to:
Solution of the integral

Given the following input data:
  • Stress range ΔS in [MPa]: 310
  • Initial crack size ai in [m]: 0.8E-3
  • Final crack size af in [m]: 8E-3
  • C = 1.059E-11 [m/Zyklen]
  • Y = 1.12
  • m = 3

The input and result (N = 19590) in MasterAllRound are: LEFM with MasterAllRound

(To basic example)   (To example eigenfrequency computation)   (To MAR Cal)   (To MAR Plus)

    © 2018 MAR Team - all rights reserved