Fatigue Test with Stochastic Differential Equation Modeling

• Authors: E. Eroglu , I. Guney , I. Gunes
• Languages of publication: EN

Abstracts

EN

In this study, a mathematically polymeric insulator material is modeled which is used as a solid insulator in the industry. ASTM D 2303 in inclined plane test method is utilized in order to observe mechanical effect of vibration. The materials have different deformation times before they are fatigued or not fatigued. Our goal is the mathematical model which has materials at progressive times.

Keywords

EN

05.10.Gg; 81.40.Np; 05.45.-a

Discipline

• 81.40.Np: Fatigue, corrosion fatigue, embrittlement, cracking, fracture, and failure(see also 62.20.M- Structural failure of materials)
• 05.45.-a: Nonlinear dynamics and chaos(see also section 45 Classical mechanics of discrete systems; for chaos in fluid dynamics, see 47.52.+j; for chaos in superconductivity, see 74.40.De)
• 05.10.Gg: Stochastic analysis methods (Fokker-Planck, Langevin, etc.)

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2012
• Volume: 121
• Issue: 1
• Pages: 36-38

Dates

published

2012-01

Contributors

author

E. Eroglu

• Faculty of Arts and Sciences, Department of Mathematics, Gebze Institute of Technology, Gebze, 41400, Kocaeli, Turkey

author

I. Guney

• Faculty of Arts and Science, Department of Statistics, İstanbul Aydın University, İstanbul, Turkey

author

I. Gunes

• Faculty of Engineering, Department of Electrical and Electronics, İstanbul University, İstanbul, Turkey

References

• 1. S. Kwofie, N. Rahbar, Int. J. Fatigue, 2011
• 2. K.L. Roe, T. Siegmund, Eng. Fract. Mech. 70, 209 (2003)
• 3. J.R. Mohanty, B.B. Verma, P.K. Ray, Eng. Fract. Mech. 75, 3941 (2008)
• 4. W.F. Wua, C.C. Ni, Probabil. Eng. Mech. 19, 247 (2004)
• 5. P.E. Kloeden, E. Platen, H. Schurz, Numerical Solution of Stochastic Differential Equation through Computer Experiments, Springer, Berlin 1994
• 6. R. Tsay, Analysis of Financial Time Series, Wiley Series in Probability and Statistics, Wiley, New York 2002

Identifiers

DOI

10.12693/APhysPolA.121.36