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Multi-Linear Modeling for Characterization of Nonlinear Behavior of Anisotropic Materials

[+] Author Affiliations
Tomonari Furukawa

Virginia Tech, Danville, VA

Jan Wei Pan

Liebherr Mining Equipment, Newport News, VA

Jinquan Cheng

Ohio State University, Columbus, OH

John G. Michopoulos

Naval Research Laboratory, Washington, DC

Yoshitaka Wada

Kindai University, Higashiosaka, Osaka, Japan

Paper No. DETC2012-71007, pp. 989-997; 9 pages
  • ASME 2012 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference
  • Volume 2: 32nd Computers and Information in Engineering Conference, Parts A and B
  • Chicago, Illinois, USA, August 12–15, 2012
  • Conference Sponsors: Design Engineering Division, Computers and Information in Engineering Division
  • ISBN: 978-0-7918-4501-1
  • Copyright © 2012 by ASME


This paper presents a multi-linear modeling technique to characterize the nonlinear behavior of anisotropic materials. The nonlinear behavior of anisotropic materials is represented with a multi-linear stress-strain model under the assumption that the material is path-, rate- and temperature-independent. The multi-linear model is constructed by adopting the energy-based characterization, which equates the applied external work to the induced strain energy and inversely solves for the multi-linear model. A numerical technique based on Kalman filter stochastically identifies multi-linear coefficients and constructs the multi-linear model by modeling prior knowledge and empirical knowledge probabilistically. Since the coefficients are estimated with their associated variance, differential entropy can measure the certainty of all estimated coefficients as a single quantity. The validity of the proposed technique in estimating the multi-linear coefficients has been first demonstrated using pseudo-experimental data created by the finite element analysis. Further investigation of the effectiveness of the proposed technique under different measurement noises show its stable ability for nonlinear characterization of anisotropic materials.

Copyright © 2012 by ASME
Topics: Modeling



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