Reduction of the number of material parameters by ANN approximation
 Wojciech Sumelka,
 Tomasz Łodygowski
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Abstract
Modern industrial standards require advanced constitutive modeling to obtain satisfactory numerical results. This approach however, is causing significant increase in number of material parameters which can not be easily obtained from standard and commonly known experimental techniques. Therefore, it is desirable to introduce procedure decreasing the number of the material parameters. This reduction however, should not lead to misunderstanding the fundamental physical phenomena. This paper proposes the reduction of the number of material parameters by using ANN approximation. Recently proposed viscoplasticity formulation for anisotropic solids (metals) developed by authors is used as an illustrative example. In this model one needs to identify 28 material parameters to handle particular metal behaviour under adiabatic conditions as reported by Glema et al (J Theor Appl Mech 48:973–1001, 2010), (Int J Damage Mech 18:205–231, 2009) and Sumelka (Poznan University of Technology, Poznan, 2009). As a result of proposed approach, authors decreased the number of material parameters to 19.
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 Title
 Reduction of the number of material parameters by ANN approximation
 Open Access
 Available under Open Access This content is freely available online to anyone, anywhere at any time.
 Journal

Computational Mechanics
Volume 52, Issue 2 , pp 287300
 Cover Date
 20130801
 DOI
 10.1007/s0046601208129
 Print ISSN
 01787675
 Online ISSN
 14320924
 Publisher
 SpringerVerlag
 Additional Links
 Topics
 Keywords

 Material parameters
 Anisotropy
 Viscoplasticity
 ANN approximation
 Industry Sectors
 Authors

 Wojciech Sumelka ^{(1)}
 Tomasz Łodygowski ^{(1)}
 Author Affiliations

 1. Division of Computer Aided Design, Faculty of Civil and Environmental Engineering, Institute of Structural Engineering, Poznan University of Technology, ul. Piotrowo 5, 60965, Poznań, Poland