Journal of Theoretical
and Applied Mechanics

56, 4, pp. 1109-1122, Warsaw 2018
DOI: 10.15632/jtam-pl.56.4.1109

Life prediction for LY12CZ notched plate based on the continuum damage mechanics and the genetic algorithm and radial basis function method

Jiaying Gao, Peng Li
In this paper, a new method based on the Continuum Damage Mechanics (CDM) and the
Genetic Algorithm and Radial Basis Function neural network method (GARBF) is propo-
sed to predict fatigue life of LY12CZ notched plate. Firstly, the multiaxial fatigue damage
evolution equation is derived, and the fatigue life of the notched specimen is predicted based
on the CDM method. Secondly, the RBF method is introduced to modify the relative devia-
tion between the theoretical result and actual life. According to the drawbacks of the RBF
method, the GA is adopted to optimize network parameters to effectively improve the model
quality and reduce the training error. Then, the verification test indicates that the combined
method of CDM and GARBF is able to reduce the average relative error of the results of
fatigue life prediction to about 7%, which shows that the new method to predict the fatigue
life is more reliable. At last, compared with the predicted results of the traditional Back
Propagation (BP) neural network, the GARBF model proposed in this paper has a better
optimization effect and the result is more stable. This research provides a feasible way to
predict the fatigue lives of the notched plate based on the CDM and GARBF method.
Keywords: life prediction, CDM, LY12CZ, notched plate, GARBF

References


Camacho-Vallejo J.-F., Mar-Ortiz J., López-Ramos F., Rodr´ıguez R.P., 2015, A genetic

algorithm for the bi-level topological design of local area networks, Plos One, 10, 6, 1-21

Gao J., He Q., Zhan Z., Gao X., 2016, Dynamic modeling based on fuzzy Neural Network for

a billiard robot, IEEE, 13th International Conference on Networking, Sensing and Control

Gao J., Zhu M., Liang H., Guo X., He Q., 2015, Design of the multiple Neural Network

compensator for a billiard robot, IEEE, International Conference on Networking, Sensing and

Control, 17-22

Goldberg D.E., Samtani M.P., 2015, Engineering optimization via genetic algorithm, Proceedings

of 9th Conference Electronic Computation, ASCE, 471-482

Guo H., Yin J., Zhao J., Huang Z., Pan Y., 2014, Prediction of fatigue life of packaging EMC

material based on RBF-SVM, International Journal of Materials and Product Technology, 49, 1, 5-17

Karolczuk A., Macha E., 2005, A review of critical plane orientations in multiaxial fatigue

failure criteria of metallic materials, International Journal of Fracture, 134, 3-4, 267-304

Lemaitre J., Chaboche J.L., 1990, Mechanics of Solid Materials, Cambridge University Press

Li B., Santos J.L.T., Freitas M., 2000, A unified numerical approach for multiaxial fatigue

limit evaluation, Mechanics of Structures and Machines, 28, 1, 85-103

Liu C.H., Xuan F.Z., 2008, A determination method of important affecting parameters on low

circle fatigue life, Materials for Mechanical Engineering, 32, 12, 22-24

Monteiro R.L.S., Carneiro T.K.G., Fontoura J.R.A., da Silva V.L., Moret M.A.,

Pereira H.B., 2016, A model for improving the learning curves of artificial neural networks, Plos

One, 11, 2

Movaghghar A., Lvov G.I., 2012, A method of estimating wind turbine blade fatigue life and

damage using continuum damage mechanics, International Journal of Damage Mechanics, 21, 6, 810-821

Nagarajan R., Jonkman J.N., 2013, A neural network model to translate brain developmental

events across mammalian species, Plos One, 8, 1

Pujol J.C.F., Pinto J.M.A., 2011, A neural network approach to fatigue life prediction, International

Journal of Fatigue, 33, 3, 313-322

Reid D., Hussain A.J., Tawfik H., 2013, Financial time series prediction using spiking neural

networks, Plos One, 9, 8, e103656-e103656

Schijve J., 2001, Fatigue of Structures and Materials, Springer

Suresh S., 1998, Fatigue of Materials, Cambridge (UK), Cambridge University Press

Upadhyaya Y.S., Sridhara B.K., 2012, Fatigue life prediction: a continuum damage mechanics

and fracture mechanics approach, Materials and Design, 35, 220-224

Wu X., 1996, Handbook of Mechanical Properties of Aircraft Structural Metals, China Aviation

Industry Press, Beijing

Zhan Z., Hu W., Li B., Zhang Y., Meng Q., 2017a, Continuum damage mechanics combined

with the extended finite element method for the total life prediction of a metallic component,

International Journal of Mechanical Sciences, 124, 48-58

Zhan Z., Hu W., Meng Q., Guan Z., 2017b, Fatigue life and defect tolerance calculation for

specimens with foreign object impact and scratch damage, Archive of Applied Mechanics, 88, 3, 373-390

Zhan Z., Hu W., Meng Q., Shi S., 2016, Continuum damage mechanics-based approach to the

fatigue life prediction for 7050-T7451 aluminum alloy with impact pit, International Journal of

Damage Mechanics, 25, 7, 943-966

Zhan Z., Hu W., Shen F., Meng Q., Pu J., Guan Z., 2017c, Fatigue life calculation for a

specimen with an impact pit considering impact damage, residual stress relaxation and elastic-

plastic fatigue damage, International Journal of Fatigue, 96, 208-223

Zhan Z., Hu W., Zhang M., Meng Q., 2015a, A study on the effect of surface defect on the

fatigue performance of metal component based on damage mechanics, Mechanics, 21, 1, 5-10

Zhan Z., Hu W., Zhang M., Meng Q., 2015b, Revised damage evolution equation for high

cycle fatigue life prediction of aluminum alloy LC4 under uniaxial loading, Applied Mathematics

and Mechanics, 36, 9, 1185-1196

Zhan Z., Hu W., Zhang M., Meng Q., 2015c, The fatigue life prediction for structure with

surface scratch considering cutting residual stress, initial plasticity damage and fatigue damage,

International Journal of Fatigue, 74, 173-182

Zhan Z., Hu W., Zhang M., Zhu Y., Meng Q., 2013, Experimental method for and theore-

tical research on defect tolerance of fixed plate based on damage mechanics, Chinese Journal of

Aeronautics, 26, 5, 1195-1201

Zhan Z., Meng Q., Hu W., Sun Y., Shen F., Zhang Y., 2017d, Continuum damage mechanics

based approach to study the effects of the scarf angle, surface friction and clamping force over the

fatigue life of scarf bolted joints, International Journal of Fatigue, 102, 59-78