Abstract
For the evaluation of a structure’s fatigue life, the knowledge of detailed stress histories plays a crucial role. In industrial application, the finite element method (FEM) has become the most widely applied tool for numerical stress- and subsequent fatigue analyses. While most computational cost is spent for the evaluation of time-dependent global stress fields, the areas that are relevant for durability analyses are limited to highly stressed local regions (hot spots). For the reduction of processed data, a subsequent fatigue analysis can be carried out using so-called hot spot filters, pointing out highly stressed elements. Available methods can be summarised as posteriori methods, as they root in the calculated stress histories or modal contributions. In this paper, a novel approach is developed, based on the a priori superposition of modal fields by means of appropriate prediction of maximum modal contributions. Main influences on modal contributions are identified and suitable parameters for superposition are summarised. As modal fields are scalable, special attention is paid to mode normalisation. Combining the developed approach with material data, appropriate threshold values for hot spot detection are presented. For validation, numerical fatigue analyses are carried out on a complex FE-model from automotive industry.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Schijve J (2001) Fatigue of structures and materials. Kluwer Academic Publishers, Dordrecht
Nguyen VA, Zehn M, Marinković D (2016) An efficient co-rotational FEM formulation using a projector matrix. Facta Univ Ser Mech Eng 14(2):227–240
Fatemi A, Shamsaei N (2011) Multiaxial fatigue: an overview and some approximation models for life estimation. Int J Fatigue 33:948–958
Ince A, Glinka G (2014) A generalized fatigue damage parameter for multiaxial fatigue life prediction under proportional and non-proportional loadings. Int J Fatigue 62:34–41
Zhu S-P, Yu Z-Y, Correia J, De Jesus A, Berto F (2018) Evaluation and comparison of critical plane criteria for multiaxial fatigue analysis of ductile and brittle materials. Int J Fatigue 112:279–288
Craig R, Kurdila A (2006) Fundamentals of structural dynamics, 2nd edn. John Wiley & Sons Inc., Hoboken, New Jersey
Huang L, Agrawal H, Borowski V (1997) Durability analysis of a vehicle body structure using modal transient methods. In: Proceedings of the 15th international modal analysis conference, pp 407–414
Huang L, Agrawal H (2001) Method of identifying critical elements in fatigue analysis with von Mises stress bounding and filtering modal displacement history using dynamic windowing. U.S. Patent Nr. 6,212,486
Veltri M (2016) FEM techniques for high stress detection in accelerated fatigue simulation. J Phys Conf Ser 744
Zhou Y, Fei Q, Wu S (2017) Utilization of modal stress approach in random-vibration fatigue evaluation. Proc Inst Mech Eng part G J Aerosp Eng 231(14):2603–2615
Zhou Y, Tao J (2019) Theoretical and numerical investigation of stress mode shapes in multi-axial random fatigue. Mech Syst Signal Process 127:499–512
Yam LY, Leung TP, Li DB, Xue KZ (1996) Theoretical and experimental study of modal strain analysis. J Sound Vib 191(2):251–260
Stephens RI, Fatemi A, Stephens RR, Fuchs HO (2000) Metal fatigue in engineering. John Wiley & Sons Inc., Hoboken, New Jersey
Rama G, Marinkovic D, Zehn M (2018) High performance 3-node shell element for linear and geometrically nonlinear analysis of composite laminates. Compos B Eng 151:118–126
Marinković D, Rama G, Zehn M (2019) Abaqus implementation of a corotational piezoelectric 3-node shell element with drilling degree of freedom. Facta Univ Ser Mech Eng 17(2):269–283
Kerfriden P, Goury O, Rabczuk T, Bordas SPA (2013) A partitioned model order reduction approach to rationalise computational expenses in nonlinear fracture mechanics. Comput Methods Appl Mech Eng 256:169–188
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2022 The Author(s), under exclusive license to Springer Nature Switzerland AG
About this paper
Cite this paper
Strzalka, C., Zehn, M., Marinkovic, D. (2022). Mode Superposition Techniques for a Priori High Stress Detection and Fatigue Hotspot Identification. In: Lesiuk, G., Szata, M., Blazejewski, W., Jesus, A.M.d., Correia, J.A. (eds) Structural Integrity and Fatigue Failure Analysis. VCMF 2020. Structural Integrity, vol 25. Springer, Cham. https://doi.org/10.1007/978-3-030-91847-7_23
Download citation
DOI: https://doi.org/10.1007/978-3-030-91847-7_23
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-91846-0
Online ISBN: 978-3-030-91847-7
eBook Packages: EngineeringEngineering (R0)