A new neural network-based model for hysteretic behavior of materials

International Journal for Numerical Methods in Engineering

Volumn 73, Issue 4, 2008, Pages 447-469

  Yun, Gun Jin ^a   Ghaboussi, Jamshid ^b   Elnashai, Amr S ^b,c,d  

^a WASHINGTON UNIVERSITY   (United States)

^b University of Illinois at Urbana Champaign   (United States)

^c Department of Civil Engineering ^*

^d Mid American Earthquake Center

Author keywords

Cyclic material model; Hysteretic systems; Neural networks; Non linear finite element analysis

Indexed keywords

COMPUTER SIMULATION; CYCLIC LOADS; FINITE ELEMENT METHOD; MATERIALS TESTING; NEURAL NETWORKS;

CYCLIC MATERIAL MODEL; HYSTERETIC SYSTEM; NON-LINEAR FINITE ELEMENT ANALYSIS;

BUILDING MATERIALS;

BUILDING MATERIALS; COMPUTER SIMULATION; CYCLIC LOADS; FINITE ELEMENT METHOD; MATERIALS TESTING; NEURAL NETWORKS;

EID: 38349175675     PISSN: 00295981     EISSN: 10970207     Source Type: Journal    
DOI: 10.1002/nme.2082     Document Type: Article

References (34)

1. Green AE, Naghdi PM. A general theory of an elasto-plastic continuum. Archive for Rational Mechanics and Analysis 1965; 18:251-281.
2. Shiratori E, Ikegami K. Experimental study of the subsequent yield surface by using cross-shaped specimens. Journal of the Mechanics and Physics of Solids 1968; 16:373-394.
3. Bodner SR, Partom Y. Constitutive equations for elastic-viscoplastic strain hardening materials. Transactions of the ASME, Journal of Applied Mechanics 1975; 42:385-389.
4. Lemaitre J, Chaboche JL. Mechanics of Solid Materials. Cambridge University Press: London, 1990.
5. Ristinmaa M. Thermodynamic formulation of plastic work hardening materials. Journal of Engineering Mechanics (ASCE) 1999; 125:152-155.
6. Iwan WD. A distributed-element model for hysteresis and its steady-state dynamic response. Journal of Applied Mechanics 1966; 33:893-900.
7. Wen YK. Method for random vibration of hysteretic systems. Journal of Engineering Mechanics (ASCE) 1976; 102:249-263.
8. Ghaboussi J, Garret JH, Wu X. Knowledge-based modeling of material behavior with neural networks. Journal of Engineering Mechanics (ASCE) 1991; 117:132-153.
9. Ghaboussi J, Sidarta DE. New method of material modeling using neural networks. Sixth International Symposium on Numerical Models in Geomechanics, Montreal, Canada, 1997; 393-400.
10. Ghaboussi J, Pecknold DA, Zhang MF, Haj-Ali RM. Autoprogressive training of neural network constitutive models. International Journal for Numerical Methods in Engineering 1998; 42:105-126.
11. Tesar A. Bionics and fractal configurations in structural engineering. International Journal for Numerical Methods in Engineering 2006; 68:790-807.
12. Hertz J, Krogh A, Palmer RG. Introduction to the Theory of Neural Computation. Westview Press: Boulder, CO, 1991.
13. Riedmiller M, Braun H. A direct adaptive method for faster back propagation learning: the RPROP algorithm. IEEE International Conference on Neural Networks, Piscataway, NJ, U.S.A., 1993; 586-591.
14. Hashash YMA, Jung S, Ghaboussi J. Numerical implementation of a neural network based material model in finite element analysis. International Journal for Numerical Methods in Engineering 2004; 59:989-1005.
15. Ghaboussi J, Zhang MM, Wu X, Pecknold DA. Nested adaptive neural network: a new architecture. Proceeding, International Conference on Artificial Neural Networks in Engineering, St. Louis, MO, 1997; 67-72.
16. Ghaboussi J, Sidarta D. A new nested adaptive neural network for modeling of constitutive behavior of materials. International Journal of Computer and Geotechnics 1998; 22:29-51.
17. Zhang MM. Neural network material models determined from structural tests. Ph.D. Thesis, Department of Civil and Environmental Engineering, University of Illinois at Urbana-Champaign, Urbana, IL, 1996.
18. Ghaboussi J, Sidarta D. A new nested adaptive neural network for modeling of constitutive behavior of materials. International Journal of Computer and Geotechnics 1998; 22:29-51.
19. Lefik M, Schrefler BA. Artificial neural network as in incremental non-linear constitutive model for a finite element code. Computer Methods in Applied Mechanics and Engineering 2003; 192:3265-3283.
20. Furukawa T, Hoffman M. Accurate cyclic plastic analysis using a neural network material model. Engineering Analysis with Boundary Elements 2004; 28:195-204.
21. Furukawa T, Yagawa G. Implicit constitutive modeling for viscoplasticity using neural networks. International Journal for Numerical Methods in Engineering 1998; 43:195-219.
22. Xuanju D, Yonghong T. An inner product-based dynamic neural network hysteresis model for piezoceramic actuator. Sensors and Actuators 2005; 121:535-542.
23. Cincotti S, Marchesi A, Serri A. A neural network model of parametric nonlinear hysteretic inductors. IEEE Transactions on Magnetics 1998; 34:3040-3043.
24. Mayergoyz ID. Mathematical Models of Hysteresis. Springer: New York, 1991.
25. Tong Z, Tan Y, Zeng X. Modeling hysteresis using hybrid method of continuous transformation and neural networks. Sensors and Actuators 2005; 119:254-262.
26. Wu X. Neural network-based material modeling. Ph.D. Thesis, Department of Civil and Environmental Engineering, University of Illinois at Urbana-Champaign, Urbana, IL, 1991.
27. Simo JC, Taylor RL. Consistent tangent operators for rate-independent elasto-plasticity. Computer Methods in Applied Mechanics and Engineering 1985; 48:101-118.
28. Karsan ID, Jirsa JO. Behavior of concrete under compressive loading. Journal of Structural Division (ASCE) 1969; 95:2543-2563.
29. Palermo D, Vecchio FJ. Compression field modeling of reinforced concrete subjected to reversed loading: formulation. ACI Structural Journal 2003; 100:616-625.
30. Sinha BP, Gerstle KH, Tulin LG. Stress-strain relations for concrete under cyclic loading. ACI Structural Journal 1964; 61:195-211.
31. SAC. SAC Steel Project: Test Summary No. 19. www.sacsteel.org/ design/test-summaries.html, 2006, SAC.
32. SAC. SAC Steel Project: Test Summary No. 21. http:// www.sacsteel.org/design/test-summaries.html, 2006, SAC.
33. Gupta A, Krawinkler H. Seismic demands for performance evaluation of steel moment resisting frame structures. Report No. 132, The John A. Blume Earthquake Engineering Center, Stanford University, Stanford, CA, 1999.
34. ABAQUS/Standard HKS. A General Purpose Finite Element Code. Karlsson & Sorensen, Inc.: Hibbitt, 2004.