Finite element model updating combined with multi-response optimization for hyper-elastic materials characterization
| Autor: | Íñiguez-Macedo, Saúl, Lostado-Lorza, Rubén, Escribano-García, Rubén, Martínez-Calvo, María ángeles, 0000-0001-5902-6078, 0000-0003-2612-942X |
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| Jazyk: | angličtina |
| Rok vydání: | 2019 |
| Předmět: |
Styrene-butadiene
hyperelastic materials Quantitative Biology::Tissues and Organs Physics::Medical Physics finite element method Parameterized complexity 02 engineering and technology Elastomer lcsh:Technology Article chemistry.chemical_compound Condensed Matter::Materials Science 0203 mechanical engineering Natural rubber multi-response optimization Applied mathematics General Materials Science lcsh:Microscopy lcsh:QC120-168.85 Plane stress Mathematics Polynomial regression lcsh:QH201-278.5 lcsh:T Direct method model updating 021001 nanoscience & nanotechnology Finite element method 020303 mechanical engineering & transports chemistry lcsh:TA1-2040 visual_art visual_art.visual_art_medium lcsh:Descriptive and experimental mechanics lcsh:Electrical engineering. Electronics. Nuclear engineering lcsh:Engineering (General). Civil engineering (General) 0210 nano-technology lcsh:TK1-9971 |
| Zdroj: | RIUR. Repositorio Institucional de la Universidad de La Rioja instname Materials Volume 12 Issue 7 Materials, Vol 12, Iss 7, p 1019 (2019) |
| Popis: | The experimental stress-strain curves from the standardized tests of Tensile, Plane Stress, Compression, Volumetric Compression, and Shear, are normally used to obtain the invariant &lambda i and constants of material Ci that will define the behavior elastomers. Obtaining these experimental curves requires the use of expensive and complex experimental equipment. For years, a direct method called model updating, which is based on the combination of parameterized finite element (FE) models and experimental force-displacement curves, which are simpler and more economical than stress-strain curves, has been used to obtain the Ci constants. Model updating has the disadvantage of requiring a high computational cost when it is used without the support of any known optimization method or when the number of standardized tests and required Ci constants is high. This paper proposes a methodology that combines the model updating method, the mentioned standardized tests and the multi-response surface method (MRS) with desirability functions to automatically determine the most appropriate Ci constants for modeling the behavior of a group of elastomers. For each standardized test, quadratic regression models were generated for modeling the error functions (ER), which represent the distance between the force-displacement curves that were obtained experimentally and those that were obtained by means of the parameterized FE models. The process of adjusting each Ci constant was carried out with desirability functions, considering the same value of importance for all of the standardized tests. As a practical example, the proposed methodology was validated with the following elastomers: nitrile butadiene rubber (NBR), ethylene-vinyl acetate (EVA), styrene butadiene rubber (SBR) and polyurethane (PUR). Mooney&ndash Rivlin, Ogden, Arruda&ndash Boyce and Gent were considered as the hyper-elastic models for modeling the mechanical behavior of the mentioned elastomers. The validation results, after the Ci parameters were adjusted, showed that the Mooney&ndash Rivlin model was the hyper-elastic model that has the least error of all materials studied (MAEnorm = 0.054 for NBR, MAEnorm = 0.127 for NBR, MAEnorm = 0.116 for EVA and MAEnorm = 0.061 for NBR). The small error obtained in the adjustment of the Ci constants, as well as the computational cost of new materials, suggests that the methodology that this paper proposes could be a simpler and more economical alternative to use to obtain the optimal Ci constants of any type of elastomer than other more sophisticated methods. |
| Databáze: | OpenAIRE |
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