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油茶鲜果三层柔性离散元粘结模型参数标定

Parameter calibration of the three-layer flexible discrete element binding model for fresh Camellia oleifera

  • 摘要: 针对油茶鲜果脱壳装备理论设计中,单层与双层离散元模型难以表征果壳破裂后茶籽内部多层力学响应的问题,该研究根据油茶果由果壳、茶籽壳及茶籽仁组成的3层复合结构,构建能反映层内断裂与层间分离的离散元粘结模型。以油茶鲜果为研究对象,通过物理试验测定其几何参数与物性参数;基于Hertz-Mindlin with Bonding接触模型构建三层柔性离散元粘结模型,其中层内采用Bonding键表征材料断裂,层间采用基础Hertz-Mindlin模型表征接触挤压,并结合物理与仿真试验标定模型参数。以实测横、纵向破壳力峰值为目标,茶籽粘结模型采用Plackett-Burman试验筛选显著的粘结参数,并经最陡爬坡试验确定取值范围,再利用Box-Behnken响应面试验建立回归模型并优化求解;果壳粘结模型通过单因素试验确定参数范围,并采用中心组合设计响应面试验建立回归模型并优化求解。标定后,单个茶籽模型横、纵向破壳力峰值与实测均值的相对误差分别为3.17%和7.13%;油茶果模型横、纵向破壳力峰值与实测均值的相对误差分别为1.54%和1.83%。油茶果、茶籽的实测与仿真压缩载荷-位移曲线变化趋势基本一致,油茶果横、纵向R2分别为0.92和0.90,茶籽横、纵向R2分别为0.89和0.87。同时,果壳在物理试验与仿真中均沿纵向瓣纹出现宏观裂纹。所建模型可有效表征果壳破裂行为及茶籽内部逐层力学响应,为油茶果脱壳加工装置的仿真设计与工艺优化提供理论依据与模型支撑。

     

    Abstract: Camellia oleifera is one of the most important cash crops worldwide. Shelling equipment has been widely used to harvest fresh Camellia oleifera. An accurate discrete element model is often required to characterize the multi-layer mechanical response of the fruit interior during shelling. However, single-layer discrete element models cannot capture the mechanical differences between the shell and the seed, due to treating the fruit as a homogeneous entity. Double-layer models can be expected to distinguish between the outer shell and the internal seed body. Since the seed is treated as a uniform structure, the conventional model cannot capture the sequential failure sequence—from outer shell fracture to seed coat rupture and subsequent kernel response—that occurs under compression. In this study, a multi-layer flexible bonding model was established using the discrete element method and the Hertz-Mindlin with Bonding contact model. Camellia oleifera shared a three-layer composite structure, including the outer shell, the seed coat, and the seed kernel. A bonding mechanism for each layer was employed to characterize material fracture behavior using bond breakage between constituent particles. The basic Hertz-Mindlin contact model was applied between adjacent layers to simulate contact compression and extrusion interaction. Heterogeneous modeling provided a physically realistic representation of intra-layer fracture and inter-layer separation, compared with conventional double-layer models. Meanwhile, geometric parameters—including transverse diameter, longitudinal diameter, and shell thickness—and physical properties —including density, Poisson's ratio, and shear modulus—of fresh Camellia oleifera were determined after systematic physical experiments. Contact characteristic parameters, including coefficients of restitution, static friction, and rolling friction for various material pairings, were calibrated to combine experimental measurements with EDEM simulation. The bonding parameters were calibrated for the seed coat–seed coat, kernel–kernel, and shell–shell contacts. A multi-stage experimental protocol included Plackett Burman screening, steepest ascent climbing, and response surface optimization. In the tea seed model, the relative errors between simulated and experimentally measured peak cracking forces in the transverse and longitudinal directions were 3.17% and 7.13%, respectively. In the whole fruit model, the relative errors were 1.54% and 1.83%, respectively, indicating that the calibrated model accurately predicted the critical failure loads. The measured and simulated compression load displacement curves were compared to evaluate model fidelity beyond single-point peak force in the entire loading history. The coefficient of determination (R²) was employed to quantify the overall agreement between the two curves at the elastic deformation, crack initiation, and crack propagation stages. In the whole fruit, the R² values were 0.92 and 0.90, respectively, for transverse and longitudinal compression; In the tea seeds, the R² values were 0.89 and 0.87, respectively. The high R² values confirmed that the simulation matched the peak failure loads to reproduce the full force deformation response with excellent fidelity. Furthermore, macro cracks in the shells consistently appeared along the longitudinal valve lines in both physical experiments and simulations, indicating the correct failure morphology. The progressive cracking behavior was characterized from the fruit shell and the layer by layer mechanical response within the tea seeds—from seed coat rupture to kernel deformation. The findings can provide a robust theoretical basis and support for the simulation driven optimization of Shelling equipment for Camellia oleifera.

     

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