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

Aulova, Alexandra (author), Govekar, Edvard (author), Emri, Igor (author)

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.

• Language: English
• Keywords: relaxation modulus, inverse problem, neural networks, multilayer perceptron, radial basis function neural network, structural health monitoring
• Work type: Article
• Typology: 1.01 - Original Scientific Article
• Organization: FS - Faculty of Mechanical Engineering
• Publication version: Author Accepted Manuscript
• Year: 2017
• Number of pages: Str. 331-349
• Numbering: Vol. 21, iss. 3
• PID: 20.500.12556/RUL-105925
• UDC: 681.5(045)
• ISSN on article: 1385-2000
• DOI: 10.1007/s11043-016-9332-x
• COBISS.SI-ID: 15013147
• Publication date in RUL: 24.12.2018

Record is a part of a journal

• Title: Mechanics of time-dependent materials
• Shortened title: Mech. time-depend. mater.
• Publisher: Kluwer
• ISSN: 1385-2000
• COBISS.SI-ID: 3749403

Secondary language

• Language: Slovenian
• Keywords: relaksacijski moduli, nevronske mreže, večplastni perceptron, monitoring stanja stuktur

Projects

• Funder: ARRS - Slovenian Research Agency
• Project number: P2-0264, P2-0241
• Name: Trajnostni polimerni materiali in tehnologije, Sinergetika kompleksnih sistemov in procesov