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Mechanics of Time-Dependent Materials

, Volume 21, Issue 3, pp 331–349 | Cite as

Determination of relaxation modulus of time-dependent materials using neural networks

  • Alexandra AulovaEmail author
  • Edvard Govekar
  • Igor Emri
Article
First Online:

Abstract

Health monitoring systems for plastic based structures require the capability of real time tracking of changes in response to the time-dependent behavior of polymer based structures. The paper proposes artificial neural networks as a tool of solving inverse problem appearing within time-dependent material characterization, since the conventional methods are computationally demanding and cannot operate in the real time mode. Abilities of a Multilayer Perceptron (MLP) and a Radial Basis Function Neural Network (RBFN) to solve ill-posed inverse problems on an example of determination of a time-dependent relaxation modulus curve segment from constant strain rate tensile test data are investigated. The required modeling data composed of strain rate, tensile and related relaxation modulus were generated using existing closed-form solution. Several neural networks topologies were tested with respect to the structure of input data, and their performance was compared to an exponential fitting technique. Selected optimal topologies of MLP and RBFN were tested for generalization and robustness on noisy data; performance of all the modeling methods with respect to the number of data points in the input vector was analyzed as well. It was shown that MLP and RBFN are capable of solving inverse problems related to the determination of a time dependent relaxation modulus curve segment. Particular topologies demonstrate good generalization and robustness capabilities, where the topology of RBFN with data provided in parallel proved to be superior compared to other methods.

Keywords

Relaxation modulus Inverse problem Neural network Multilayer perceptron Radial basis function neural network Structural health monitoring 
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Notes

Acknowledgement

Authors would like to thank Slovenian Research Agency for financial support in the frame of programs P2-0264 and P2-0241.

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Copyright information

© Springer Science+Business Media Dordrecht 2016

Authors and Affiliations

  1. 1.Center for Experimental MechanicsFaculty of Mechanical Engineering, University of LjubljanaLjubljanaSlovenia
  2. 2.Laboratory of SynergeticsFaculty of Mechanical Engineering, University of LjubljanaLjubljanaSlovenia

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