Inverse Analysis Approach to Flow Stress Evaluation by Small Punch Test

소형펀치 시험과 역해석에 의한 재료의 유동응력 결정

  • Cheon, Jin-Sik
  • 천진식
  • Published : 2000.07.01


An inverse method is presented to obtain material's flow properties by using small punch test. This procedure employs, as the objective function of inverse analysis, the balance of measured load-di splacement response and calculated one during deformation. In order to guarantee convergence to global minimum, simulated annealing method was adopted to optimize the current objective function. In addition, artificial neural network was used to predict the load-displacement response under given material parameters which is the most time consuming and limits applications of global optimization methods to these kinds of problems. By implementing the simulated annealing for optimization along with calculating load-displacement curve by neural network, material parameters were identified irrespective of initial values within very short time for simulated test data. We also tested the present method for error-containing experimental data and showed that the flow properties of material were well predicted.


Flow Stress;Small Punch Test;Simulated Annealing;Neural Network;Optimization;Inverse Problem


  1. Haggag, F.M., 1993, 'In-Situ Measurements of Mechanical Properties Using Novel Automated Ball Identation System,' ASTM STP 1024, pp. 27-44
  2. Yoshimura, S., Matsuda, A. and Yagawa, G., 1996, 'New Regularization by Transformation for Neural Network Based Inverse Analyses and Its Application to Structure Identification,' International Journal of Numerical Methods and Engineering, Vol. 39, pp. 3953-3968<3953::AID-NME31>3.0.CO;2-O
  3. ABAQUS/Standard Version 5.7, 1997, Hibbit, Karlsson and Sorensen Inc.
  4. Dieter, G. E., 1996, Mechanical Metallurgy, McGraw-Hill Book Company, New York
  5. Demuth, H. B. and Beale, M., 1994, Neural Network Toolbox, The Mathworks Inc.
  6. Scale J. A. and Smith, M. L., 1996, Introductory Geophysical Inverse Theory: Part I, Samizdat Press
  7. Schnur, D. S. and Zabaras, N., 1992, 'An Inverse Method for Determining Elastic Material Properties and a Material Interface,' International Journal of Numerical Methods and Engineering, Vol. 33, pp. 2039-1057
  8. Moerder, D. D. and Pamadi, B. N., 1994, 'Constrained Minimization of Smooth Functions Using a Genetic Algorithm,' NASA Technical Paper 3329
  9. Yoshimura, S., Hishida, H. and Yagawa, G., 1993, Parameter Determination of Inelastic Constitutive Equations by Means of Neural Network,' Transactions of the Japan Society of Mechanical Engineering, Part A, Vol. 59, pp. 518-525
  10. Furukawa, T. and Yagawa, G., 1997, 'Inelastic Constitutive Parameter Identification Using an Evolutionary Algorithm with Continuous Individuals,' International Journal of Numerical Methods and Engineering, Vol. 40, pp. 1071-1090<1071::AID-NME99>3.0.CO;2-8
  11. Rao, S. S., 1996, Engineering Optimization: Theory and Practice, John Wiley & Sons, Inc., New York
  12. Starck, V., 1996, Implementation of Simulated Annealing Optimization Method for APLAC Circuit Simulator, M.S. thesis, Helsinki University of Technology
  13. Hagan, M. T., Demuth H. B. and Beale, M., 1996, Neural Network Design, PWS Publishing Company, Boston
  14. Osakada, K., Shirashi,M., Muraki, S. and Tokuoka, M., 1991, 'Measurement of Flow Stres by the Ring Compression Test,' JSME International Journal, Series I, Vol. 34, pp. 312-318
  15. 천진식, 1998, '소형펀치 시험과 최적화 기법에 의한 재료의 유동응력 예측,' 한국중공업 기술제안 보고서
  16. Kirkpatrick, S., Gelatt, C. and Vecchi, M., 1983, 'Optimization by Simulated Annealing,' Science, Vol. 220, pp. 671-680
  17. Foulds, J. R. et al., 1995, 'Small Punch Testing for Fracture Toughness Measurement,' Electric Power Research Institute Report, EPRI TR-105130
  18. Kubo, S., 1988, 'Inverse Problems Related to the Mechanics and Fracture of Solids and Structures,' JSME International Journal, Series I, Vol. 31, pp. 157-166
  19. Michino, M., Tanaka,M. and Kitaoka, T., 1996, 'Determination of Flow Stress by Inverse Analysis Using FEM,' Journal of the JSTP, Vol. 37, pp. 219-224
  20. Lucas, G. E., 1990, 'Review of Small Specimen Test Techniques for Irradiation Testing,' Metallurgical Transactions A, Vol. 21A, pp. 1105-1119
  21. 박종진, 유효선, 정세희, 1996, '고온부재의 재질열화에 따른 응력부식균열 평가에 관한 연구,' 대한기계학회논문집 A, 20 권, 4 호, pp. 73-80
  22. Manahan, M. P., 1983, 'New Postirradiation Mechanical Behavior Test - The Miniaturized Disk Bend Test,' Nuclear Technology, Vol. 63, pp. 295-315
  23. Cheon, J. S. and Kim, I. S., 1996, 'Initial deformation during small punch testing,' Journal of Testing and Evaluation, Vol. 24, pp. 255-262