Accurate cyclic plastic analysis using a neural network material model

The computer simulation is replacing mechanical experiments in many cases due to its cost-effectiveness and improved accuracy. Nevertheless, its application fields are still limited to elastic analysis, as there exists a significant amount of model error in present inelastic material models. In this paper, we first propose a material model using neural networks, which has the ability to describe plasticity and cyclic plasticity. The proposed model was first created with the material data of 2 1/4Cr-1 Mo steel, and the results show that the model can represent the actual cyclic plastic material behavior within a 2% error. The model is then implemented in a commercially available finite element analysis package and the cyclic plastic deformation behavior of a test specimen of the material is predicted within a 3% error.

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

[2]  E. W. Hart.  Constitutive Relations for the Nonelastic Deformation of Metals , 1976 .

[3]  Tomonari Furukawa,et al.  An automated system for simulation and parameter identification of inelastic constitutive models , 2002 .

[4]  E. Diegele,et al.  Prediction of Life TIme of the First Wall Under Thermal Fatigue Based on Viscoplastic Deformations , 1991 .

[5]  Philipp Slusallek,et al.  Introduction to real-time ray tracing , 2005, SIGGRAPH Courses.

[6]  Alan K. Miller,et al.  An Inelastic Constitutive Model for Monotonic, Cyclic, and Creep Deformation: Part I—Equations Development and Analytical Procedures , 1976 .

[7]  J. Chaboche,et al.  On the Plastic and Viscoplastic Constitutive Equations—Part I: Rules Developed With Internal Variable Concept , 1983 .

[8]  Y. Yamada,et al.  Plastic stress-strain matrix and its application for the solution of elastic-plastic problems by the finite element method , 1968 .

[9]  Subcommittee on Inelastic Analysis.  Benchmark Project on Inelastic Deformation and Life Prediction of 2 1/4Cr-1Mo Steel at High Temperature under Multiaxial Stresses , 1990 .

[10]  H. P. Shrivastava,et al.  A non-linear hardening model and its application to cyclic loading , 1976 .

[11]  J. Chaboche.  Constitutive equations for cyclic plasticity and cyclic viscoplasticity , 1989 .

[12]  E. P. Cernocky,et al.  A non-linear uniaxial integral constitutive equation incorporating rate effects, creep and relaxation , 1979 .

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

[14]  S. R. Bodner,et al.  Constitutive Equations for Elastic-Viscoplastic Strain-Hardening Materials , 1975 .

[15]  Hubert Maigre,et al.  Inverse Problems in Engineering Mechanics , 1994 .

[16]  Nobutada Ohno,et al.  Recent Topics in Constitutive Modeling of Cyclic Plasticity and Viscoplasticity , 1990 .

[17]  Genki Yagawa,et al.  INELASTIC CONSTITUTIVE PARAMETER IDENTIFICATION USING AN EVOLUTIONARY ALGORITHM WITH CONTINUOUS INDIVIDUALS , 1997 .