Neural network constitutive model for rate-dependent materials

Neural network (NN) constitutive model adjusts itself to describe given stress and strain relationship. It is capable of capturing complex material behavior, using stress and strain sets from experiments. This paper presents a rate-dependent NN constitutive model formulation and its implementation in finite element analysis. The proposed NN model is verified for a standard solid viscoelasticity model. The model is then applied to analysis of time-dependent behavior of concrete. The proposed model has potential of capturing any rate-dependent material models, provided enough data sets are given. The issue of what constitutes a sufficient data set to train a neural network constitutive model must be addressed in future research.

[1]  Alan F. Murray,et al.  IEEE International Conference on Neural Networks , 1997 .

[2]  Xiping Wu Neural network-based material modeling , 1992 .

[3]  Rui Zhao,et al.  Stress-Strain Modeling of Sands Using Artificial Neural Networks , 1995 .

[4]  James H. Garrett,et al.  Knowledge-Based Modeling of Material Behavior with Neural Networks , 1992 .

[5]  Ionel M. Navon,et al.  Truncated-Newton training algorithm for neurocomputational viscoplastic model , 2003 .

[6]  G. N. Pande,et al.  On self-learning finite element codes based on monitored response of structures , 2000 .

[7]  Genki Yagawa,et al.  Implicit constitutive modelling for viscoplasticity using neural networks , 1998 .

[8]  William H. Press,et al.  Numerical Recipes: FORTRAN , 1988 .

[9]  Robert J. Marks,et al.  Neural Smithing: Supervised Learning in Feedforward Artificial Neural Networks , 1999 .

[10]  Youssef M A Hashash,et al.  Systematic update of a deep excavation model using field performance data , 2003 .

[11]  Amin Ghali,et al.  CREEP POISSON'S RATIO OF CONCRETE UNDER MULTIAXIAL COMPRESSION , 1969 .

[12]  W L Gamble,et al.  CONSTRUCTION AND LONG-TERM BEHAVIOR OF 1/8-TH SCALE PRESTRESSED CONCRETE BRIDGE COMPONENTS , 1972 .

[13]  Youssef M A Hashash,et al.  Numerical implementation of a neural network based material model in finite element analysis , 2004 .

[14]  Jamshid Ghaboussi,et al.  New nested adaptive neural networks (NANN) for constitutive modeling , 1998 .

[15]  Martin A. Riedmiller,et al.  A direct adaptive method for faster backpropagation learning: the RPROP algorithm , 1993, IEEE International Conference on Neural Networks.

[16]  R. Palmer,et al.  Introduction to the theory of neural computation , 1994, The advanced book program.

[17]  Martin A. Riedmiller,et al.  Advanced supervised learning in multi-layer perceptrons — From backpropagation to adaptive learning algorithms , 1994 .

[18]  I. J. Jordaan,et al.  The creep of sealed concrete under multiaxial compressive stresses , 1969 .

[19]  Jamshid Ghaboussi,et al.  Autoprogressive training of neural network constitutive models , 1998 .

[20]  Mingfu Michael Zhang Neural Network Material Models Determined From Structural Tests , 1997 .

[21]  Djoni Eka Sidarta Neural Network-Based Constitutive Modeling of Granular Material , 2000 .

[22]  Y. Haddad Viscoelasticity of Engineering Materials , 1994 .

[23]  D J Hannant,et al.  CREEP AND CREEP RECOVERY OF CONCRETE SUBJECTED TO MULTIAXIAL COMPRESSIVE STRESS , 1969 .

[24]  G Pande,et al.  Enhancement of data for training neural network based constitutive models for geomaterials , 2002 .

[25]  Youssef M A Hashash,et al.  Constitutive model update using observed field behavior , 2004 .

[26]  George Z. Voyiadjis,et al.  SIMULATED MICROMECHANICAL MODELS USING ARTIFICIAL NEURAL NETWORKS , 2001 .