Preprint Article Version 1 This version is not peer-reviewed

Linear Drucker-Prager Yield Criterion Calibration for Polypropylene under Multiaxial Load

Version 1 : Received: 12 August 2024 / Approved: 13 August 2024 / Online: 13 August 2024 (14:20:20 CEST)

How to cite: Kasprzak, A. Linear Drucker-Prager Yield Criterion Calibration for Polypropylene under Multiaxial Load. Preprints 2024, 2024080939. https://doi.org/10.20944/preprints202408.0939.v1 Kasprzak, A. Linear Drucker-Prager Yield Criterion Calibration for Polypropylene under Multiaxial Load. Preprints 2024, 2024080939. https://doi.org/10.20944/preprints202408.0939.v1

Abstract

This study focuses on calibrating the linear Drucker-Prager yield criterion for polypropylene under multiaxial loading conditions, using the Arcana machine 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 account for the influence of hydrostatic pressure on yield stress. This study employs the Arcana machine, 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 molding and cut to specific dimensions. Tests were performed using a universal testing machine with the Arcana handle, and the results were analyzed 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.

Keywords

finite element modeling; static testing; tensile testing; compressive testing; validation; Drucker-Prager

Subject

Engineering, Mechanical Engineering

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