Research on the macro- and meso-mechanical properties of frozen sand mold based on Hertz-Mindlin with Bonding model--颗粒学报PARTICUOLOGY

Shi, J., Shan, Z., & Yang, H. (2024). Research on the macro- and meso-mechanical properties of frozen sand mold based on Hertz-Mindlin with Bonding model. Particuology, 88, 176-191. https://doi.org/10.1016/j.partic.2023.08.019

Research on the macro- and meso-mechanical properties of frozen sand mold based on Hertz-Mindlin with Bonding model

Jianpei Shi ^a, Zhongde Shan ^{a b *}, Haoqin Yang ^c *

a College of Mechanical and Electrical Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China
b State Key Laboratory of Mechanics and Control of Mechanical Structures, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China
c College of Material Science and Technology, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China

10.1016/j.partic.2023.08.019

Volume 88, May 2024, Pages 176-191

Received 29 January 2023, Revised 30 July 2023, Accepted 24 August 2023, Available online 19 September 2023, Version of Record 6 November 2023.

E-mail: shanzd@nuaa.edu.cn; yang-haoqin@nuaa.edu.cn

Highlights

• A calibration method for the HMB parameters of frozen sand molds was proposed.

• Correlation criteria between macroscopic and mesoscopic parameters were proposed.

• Effects of sand particle radius, porosity, and shape characteristics on HMB performance were explored.

• DEM and RSM methods were used to calibrate the mesoscopic failure modes.

Abstract

In this study, macro- and meso-mechanical properties of frozen sand molds were discussed based on the Hertz-Mindlin with Bonding (HMB) model. Plackett-Burman, steepest ascent, and central composite designs were utilized to propose a parameter calibration methodology. The effects of mesoscopic parameter variations on the compressive strength and average gradient of stress-strain were investigated through response surface method analysis. Results showed that the relative error between the simulated and measured repose angle is 3.1% under calibrated intrinsic contact parameters. The compressive strength and average stress-strain gradient primarily depend on the normal and shear stiffness per unit area, as well as the particle size and porosity of the silica sand. Furthermore, taking load-displacement curves of three frozen sand molds with different geometric characteristics as the target value, the reliability and effectiveness of the frozen sand mold HMB model were verified through uniaxial compression tests and discrete element simulations.

Graphical abstract

Keywords

Frozen sand mold; Hertz-Mindlin with Bonding model; Uniaxial compression test; Discrete element method; Mechanical properties

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