Linear Drucker-Prager yield criterion calibration for polypropylene under multiaxial load
Adam Kasprzak
Vol. 19., No.2., Pages 192-200, 2025
DOI: 10.3144/expresspolymlett.2025.14
DOI: 10.3144/expresspolymlett.2025.14
Corresponding author: Adam Kasprzak 
GRAPHICAL ABSTRACT
ABSTRACT
This study focuses on calibrating the linear Drucker-Prager yield criterion for polypropylene under multiaxial loading conditions, using the Arcana fixture to achieve a wide range of triaxiality states. The Drucker-Prager criterion has been adapted for polymers, composites, and metals due to its ability to reflect the influence of hydrostatic pressure on yield stress. This study employs the Arcana fixture, which allows for testing flat plate samples under various angles, thereby simulating different stress states from pure shear to biaxial tension. Additionally, uniaxial compression tests were conducted to extend the range of triaxiality. The material used in this study is Sabic 83MF10, a polypropylene polymer. Samples were prepared by injection moulding and cut to specific dimensions. Tests were performed using a universal testing machine with the Arcana fixture, and the results were analysed to determine the yield strength, pressure, and triaxiality for each sample. The results showed a linear relationship between von Mises stress and hydrostatic pressure, with a friction angle (β) of 20.65° and material cohesion (d) of 27.81. The numerical simulations in Abaqus confirmed the validity of the Drucker- Prager model, accurately reflecting the moment of yielding for the tested samples.
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Adding heterogeneous fillers with high thermal conductivity (TC) to polymer has been recognized as an effective way to increase the effective thermal conductivity (ETC) of polymer composites. Extensive researches have been conducted on the ETC of composites with heterogeneous fillers. However, the heat transfer enhancement mechanism of heterogeneous fillers remains unknown, and the combined effects of filler size, filler contact, interface thermal resistance (Rc) and other parameters on the ETC have not been explored. In this study, above combined effects are investigated. The results show that the filler contact and Rc are the key factors determining the ETC. The ETC of composite with filler contacts reaches 2.35 at filler content of 25%, which is 11.9% higher than that without filler contacts. The ETC also strongly depends on the R*c (dimensionless form of Rc) ratio (R*c1/R*c2) between two fillers, with it becoming asymmetrical when the amount of R*c(R*c1 + R*c2) is larger. The ETCs decrease with the increase of R*c1/R*c2 when the R*c1/R*c2<1, while they increase with R*c1/R*c2 when the R*c1/R*c2>1. When R*c1 + R*c2 is a constant, the ETC increases with the competing effects of R*c. The models with filler contacts exhibit higher accuracy than other classical models in calculating the ETC across the entire range of filler content.
