The role of Kalman filtering in an inverse analysis of elasto-plastic material

Proceedings of the Japan Academy Series B: Physical and Biological Sciences

Volumn 78, Issue 8, 2002, Pages 250-255

  Murakami, Akira ^a  

^a OKAYAMA UNIVERSITY   (Japan)

Author keywords

Elasto plastic material; Inverse analysis; Kalman filter; Loading history; Time update scheme

Indexed keywords

EID: 0036823142     PISSN: 03862208     EISSN: 03862208     Source Type: Journal    
DOI: 10.2183/pjab.78.250     Document Type: Article

References (23)

1. Bui, H. D. (1994) Inverse Problems in the Mechanics of Materials: An Introduction. CRC Press, London.
2. Kalman, R. E. (1960) Trans. ASME, J. Basic Eng. 82, 35-45.
3. Neuman, S. P. (1973) Water Resour. Res. 9(4), 1006-1021.
4. Tikhonov, A. N. (1963) Soviet Mathematics Doklady 4, 1035-1038.
5. Murakami, A. (1997) Theoretical & Applied Mechanics 46, 25-38.
6. Murakami, A., and Hasegawa, T. (1993) Theoretical & Applied Mechanics 42, 3-14.
7. Aoki, S., Amaya, K., Sahashi, M., and Nakamura, T. (1997) Computational Mechanics 19, 501-506.
8. Corigliano, A., Mariani, S., and Orsatti, B. (2000) Int. J. of Fracture 104, 349-373.
9. Bolzon, G., Fedele, R., and Maier, G. (2002) Comput. Methods Appl. Mech. Engrg. 191, 2847-2871.
10. Bittanti, S., Maier, G., and Nappi, A. (1984) In Plasticity Today (eds. Sawczuk, A., and Bianchi, G.). Elsevier Applied Science, London, pp. 311-329.
11. Arimoto, S. (1977) Kalman Filter. Sangyo-Tosho, Tokyo (in Japanese).
12. Katayama, T. (1983) Applied Kalman Filter. Asakurashoten, Tokyo (in Japanese).
13. Murakami, A., and Hasegawa, T. (1987) Proc. JSCE, no. 388, pp. 227-235 (in Japanese).
14. Suma, K., and Kawahara, M. (1999) Int. J. Numer. Methods in Fluids 31(1), 261-274.
15. Liu, Y., Liang, L., and Jia, G. (2001) Inverse Problems in Engineering 9, 199-215.
16. Tosaka, N., Utani, A., and Takahashi, H. (1995) Engng. Anal. with Boundary Elements 15, 207-215.
17. Tanaka, M., Nakamura, M., and Ochiai, R. (1993) In Computational Engineering (eds. Kwak, B. M., and Tanaka, M.). Elsevier, London, p. 335.
18. Iizuka, A., Murakami, A., Miyata, Y., and Nakasumi, I. (2002) Tsuchi-To-Kiso 50(8), 6-8 (in Japanese).
19. Sekiguchi, H., and Ohta, H. (1977) In Proc. Specialty Session 9th Int. Conf. of Soil Mechanics and Foundation Engineering, pp. 229-239.
20. Iizuka, A., and Ohta, H. (1987) Soils and Foundations 27(3), 71-87.
21. Zentar, R., Hicher, P. Y., and Moulin, G. (2001) Computers and Geotechnics 28, 129-144.
22. Moultanovsky, A. V., and Rekada, M. (2002) Inverse Problems in Engineering 10(1), 19-39.
23. Dempster, A. P., Laird, N. M., and Rubin, D. B. (1977) J. Roy. Stat. Soc. Ser. B. 39, 1-38.