Assessing the effectiveness of the linear Drucker–Prager material model in predicting the mechanical behavior of acrylonitrile–butadiene–styrene (ABS) under multiaxial loading conditions

Abstract

This study aims to evaluate the effectiveness of the linear Drucker–Prager material model in accurately predicting the impact behavior of amorphous polymers, with a specific focus on acrylonitrile–butadiene–styrene (ABS), a material known for its versatility and wide industrial use. The relevant material model parameters were determined by incorporating test data from uniaxial tension and compression tests conducted at the same strain rate, along with insights from the Mohr–Coulomb model. The approach employed to determine the material model parameters was validated by comparing the results of three‐point bending simulations at varying speeds, incorporating the Cowper–Symonds model to capture the strain rate‐dependent post‐yield behavior of ABS against experimental data, before being applied in the impact simulations. The comparative analysis of the three‐point bending and impact simulation results revealed that the linear Drucker–Prager model provides a more accurate estimation of the three‐point bending response of ABS than its impact behavior, suggesting that the model is better suited for predicting responses under more uniform stress states that align closely with its assumptions. The results further indicated that the material model effectively predicts the impact behavior of ABS under various energy levels, despite its limitations in fully accounting for the complexities of dynamic effects and stress states in impact scenarios. The methodology developed in this study for determining the associated material model parameters of ABS can also be applied to other amorphous polymers and can be employed in impact simulations to effectively predict their impact behavior.