Modelling of flexible adhesives in simple mechanical states with the use of the Darijani-Naghdabadi strain tensors and Kirchhoff-de Saint-Venant elastic potential
Szeptyński, Paweł (Author), Gams, Matija (Author), Kwiecień, Arkadiusz (Author)

URLURL - Source URL, Visit https://www.sciencedirect.com/science/article/pii/S1007570421002094?via%3Dihub This link opens in a new window

Practical aspects of modelling of flexible adhesives with the energy conjugate measures of stress and strain of the Darijani Naghdabadi (D-N) family are discussed. A possibility of description of materials exhibiting non-linear physical characteristics with the use of non-linear geometric relationships and linear elastic constitutive law is considered. Nominal stress vs. stretch relations are specified in cases of simple tension and simple shear with the use of the Kirchhoff de Saint-Venant elastic potential and D-N energy conjugate stress and strain measures. Obtained theoretical estimates were compared with experimental results of simple tension and simple shear tests performed on Sika PM polyurethane (Cracow, Sika Poland). The deformation rate was fixed in order to minimize the influence of viscosity. Values of parameters in the definition of the D-N strain tensor were optimized in order to provide good agreement between model predictions and experimental results. Observed discrepancies indicate that the proposed approach is not appropriate for constitutive modelling of the PM polymer. The presented approach is proposed to be used as a simple design model providing practical formulas describing the behavior of materials of non-linear characteristics in chosen mechanical states. Admissible values of exponents are discussed regarding its bijectivity in a limited range of variation of principal stretches.

Keywords:generalized measures of strain, nonlinear elasticity, flexible adhesives
Work type:Scientific work (r2)
Tipology:1.01 - Original Scientific Article
Organization:FGG - Faculty of Civil and Geodetic Engineering
Submitted for review:16.02.2021
Article acceptance date:17.05.2021
Article publication date:21.05.2021
Number of pages:Str. 1-18
Numbering:Vol. 13, iss. 10
ISSN on article:2073-4360
DOI:10.3390/polym13101639 This link opens in a new window
COBISS.SI-ID:64333827 This link opens in a new window
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Record is a part of a journal

Shortened title:Polymers
COBISS.SI-ID:517951257 This link opens in a new window


License:CC BY 4.0, Creative Commons Attribution 4.0 International
Description:This is the standard Creative Commons license that gives others maximum freedom to do what they want with the work as long as they credit the author.
Licensing start date:24.05.2021

Secondary language

Keywords:posplošene mere deformacij, nelinearna elastičnost, podajna lepila

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