The Dang Van Criterion for Fatigue Design

Abstract:

The present work intends to evaluate, using simple, exemplary cases, the importance of a full elasto-plastic analysis in fatigue design. A strain cycling situation (-ε to ε) was modelled with ABAQUS considering two situations: firstly a linear σ vs. ε relationship was assumed, and secondly, the real cyclic σ vs. ε curve was used to model each cycle, which includes a small plastic deformation. The case of change of cross section in a steel shaft subjected to constant torsion and cyclic bending was analysed through finite element modelling using ABAQUS.

• Periodical: Materials Science Forum (Volumes 730-732)
• Pages: 555-560
• DOI: https://doi.org/10.4028/www.scientific.net/MSF.730-732.555
• Online since: November 2012
• Authors: Daniel F.C. Peixoto, Luis A.A. Ferreira, Paulo M.S.T. de Castro
• Keywords: Dang Van Fatigue Criterion, Elastic-Plastic Behaviour, Fatigue, Finite Element Method (FEM)

References

[1] J. E. Shigley, C. R. Mischke, R. G. Budynas, Mechanical engineering design, seventh ed., McGraw-Hill Higher Education, 2004.

[2] K. Dang Van, Macro-micro approach in high-cycle multiaxial fatigue, Advances in Multiaxial Fatigue, ASTM STP 1191, D.L. McDowell and R. Ellis (Eds.), American Society for Testing and Materials, Philadelphia, 1993, pp.120-130.

DOI: 10.1520/stp24799s

[3] H. Desimone, A. Bernasconi, S. Beretta, On the application of Dang Van criterion to rolling contact fatigue, Wear 260 (2006), pp.567-572.

DOI: 10.1016/j.wear.2005.03.007

[4] M. Ciavarella, H. Maitournam, On the Ekberg, Kabo and Anderson calculation of the Dang Van high cycle fatigue limit for rolling contact fatigue, Fatigue and Fracture of Engineering Materials and Structures 27 (2004), pp.523-528.

DOI: 10.1111/j.1460-2695.2004.00772.x

[5] L. G. dos Reis, Comportamento mecânico de aços em fadiga multiaxial a amplitude de carga constante e síncrona, PhD Thesis, IST, 2004.