Towards a new methodology for the characterisation of crack tip fields based on a hybrid computational approach
Source abstract
Abstract
This work presents a hybrid optimisation technique for the simultaneous calculation of crack tip characterising parameters and its spatial location, which can significantly affect the characterising parameters if the position used is inaccurate. The hybrid technique combines initial use of a genetic algorithm to obtain a well-conditioned set of initial parameter values that is then passed to an interior point optimisation algorithm for subsequent fast optimisation. Use of the hybrid technique is also amenable to easy automation. The capability of the technique is demonstrated using the CJP crack tip field model, with digital image correlation (DIC) being used to measure the 2D crack tip displacement field. This model was chosen, not only for its demonstrated sensitivity to accuracy in crack tip location, but also for its proven utility in providing effective crack growth correlation in the presence of plasticity-induced shielding across a wide range of growth rates. The results obtained from the hybrid technique are shown to be reliable through comparison with results obtained using other established techniques.
Source: openalex_inverted_index · Quality: baseline
Research context
OpenAlex topics: Fatigue and fracture mechanics · Structural Health Monitoring Techniques · Structural Load-Bearing Analysis
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
References (38)
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1. 2009
2. Thomson W (Lord K. On the Thermoelastic, Thermomagnetic and Pyro-electric Properties of Matters. Philos Mag 1878;5:4–27.10.1080/14786447808639378 ↗
3. On the communication of the structure of doubly refracting crystals to glass, muriate of soda, flour spar and other substances by mechanical compression and dilatation
4. A general method for determining mixed-mode stress intensity factors from isochromatic fringe patterns10.1016/0013-7944(79)90123-1 ↗
5. Bearing pressures and cracks10.1115/1.4008919 ↗
6. Analysis of stresses and strains near the end of a crack traversing plate10.1115/1.4011547 ↗
7. On the stress distribution at the base of a stationary crack10.1115/1.4011454 ↗
8. Determination of predominantly mode-II stress intensity factors from isochromatic data10.1111/j.1460-2695.1993.tb00743.x ↗
9. Muskhelishvili NI. Some Basic Problems of the Mathematical Theory of Elasticity. Springer Netherlands; 1977. https://doi.org/10.1007/978-94-017-3034-1.10.1007/978-94-017-3034-1 ↗
10. Pommier S, Hamam R. Incremental model for fatigue crack growth based on a displacement partitioning hypothesis of mode I elastic-plastic displacement fields. Fatigue Fract Eng Mater Struct 2007;30:582–98. https://doi.org/10.1111/j.1460-2695.2007.01128.x.10.1111/j.1460-2695.2007.01128.x ↗
11. Towards a new model of crack tip stress fields10.1007/s10704-008-9209-3 ↗
12. A quantitative evaluation of fatigue crack shielding forces using photoelasticity10.1016/j.engfracmech.2008.03.013 ↗
13. Local crack plasticity and its influences on the global elastic stress field10.1016/j.ijfatigue.2012.04.015 ↗
14. The stress intensity of mixed mode cracks determined by digital image correlation10.1243/03093247JSA419 ↗
15. Quantifying crack tip displacement fields with DIC10.1016/j.engfracmech.2010.03.025 ↗
16. Experimental evaluation of crack shielding during fatigue crack growth using digital image correlation10.1111/ffe.12136 ↗
17. Evaluación experimental del fenómeno de crack shielding inducido por plasticidad empleando técnicas ópticas de campo completo para la medida de tensiones y deformaciones
18. Automatic evaluation of mixed-mode stress intensity factors utilizing digital image correlation10.1111/j.1475-1305.2006.00246.x ↗
19. Locating the Crack Tip Using Displacement Field Data: A Comparative Study10.1111/str.12017 ↗
20. New algorithm for optimised fitting of DIC data to crack tip plastic zone using the CJP model10.1016/j.tafmec.2021.102950 ↗
21. Moré · The Levenberg-Marquardt algorithm: Implementation and theory · 1978 · 105
22. Goldberg DE. Genetic algorithms in search, optimization, and machine learning. 1st ed. Boston, MA: Addison-Wesley Longman Publishing Co., Inc.,; 1989. https://doi.org/10.5555/534133.
23. Primal-Dual Interior-Point Methods
24. An interior trust region approach for nonlinear minimization subject to bounds10.1137/0806023 ↗
25. A trust region method based on interior point techniques for nonlinear programming10.1007/PL00011391 ↗
26. An interior point algorithm for large-scale nonlinear programming10.1137/S1052623497325107 ↗
27. An interior algorithm for nonlinear optimization that combines line search and trust region steps10.1007/s10107-004-0560-5 ↗
28. Nocedal · Numerical Optimization · 2006
29. Recent Advances in Linear Programming10.1287/mnsc.2.2.131 ↗
30. Nonlinear programming10.1525/9780520411586-036 ↗
31. Assessment of crack tip plastic zone size and shape and its influence on crack tip shielding10.1111/ffe.12436 ↗
32. Experimental evaluation of shielding effect on growing fatigue cracks under overloads using ESPI10.1016/j.ijfatigue.2015.10.003 ↗
33. A Rapidly Convergent Descent Method for Minimization10.1093/comjnl/6.2.163 ↗
34. Quasi-Newton Methods and their Application to Function Minimisation10.1090/S0025-5718-1967-0224273-2 ↗
35. A Family of Variable-Metric Methods Derived by Variational Means10.1090/S0025-5718-1970-0258249-6 ↗
36. ASTM. E 647 - 00: Standard Test Method for Measurement of Fatigue Crack Growth Rates. Annu B ASTM Stand 1103 2000.
37. A comparison of recent models for fatigue crack tip deformation10.1016/j.tafmec.2019.102299 ↗
38. A more effective rationalisation of fatigue crack growth rate data for various specimen geometries and stress ratios using the CJP model10.1016/j.ijfatigue.2018.05.027 ↗