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油茶鲜果多层柔性离散元粘结模型参数标定

Parameter calibration of a multi-layer flexible discrete element binding model for fresh camellia oleifera

  • 摘要: 针对油茶鲜果加工脱壳装备理论设计计算中,单层与双层离散元模型难以表征果壳破裂后茶籽内部的多层力学响应,根据油茶果由果壳、茶籽壳及茶籽仁构成的3层复合结构,基于Hertz-Mindlin with Bonding接触模型建立多层柔性离散元粘结模型,其中层内采用Bonding键表征材料断裂行为,层间采用基础Hertz-Mindlin模型表征接触挤压作用,实现层内断裂与层间分离的异质化表征。通过物理试验测定油茶鲜果几何与物性参数,结合实测与仿真标定了接触特性参数;分别对茶籽和果壳的粘结参数进行标定:茶籽模型横向、纵向破壳峰值的相对误差分别为3.17%和7.13%;整果模型横向、纵向破壳峰值的相对误差分别为1.54%和1.83%。对比实测与仿真压缩载荷-位移曲线,两者变化趋势基本一致,采用决定系数R2评估曲线整体吻合度,整果横、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;果壳均沿着纵向瓣纹出现宏观裂纹,验证了模型可靠性。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: The design of shelling equipment for fresh Camellia oleifera is constrained by lack of a discrete element model that characterizes the multi-layer mechanical response during shelling. Single-layer models treat fruit as homogeneous, failing to distinguish shell from seed; double-layer models separate shell and seed but treat seed as uniform, missing the sequential failure from shell to seed coat to kernel Given that the Camellia oleifera consists of a three-layer composite structure comprising the outer shell, the seed coat, and the seed kernel, a multi-layer flexible discrete element bonding model was established based on the Hertz-Mindlin with Bonding contact model. Within each layer, the Bonding mechanism was employed to characterize material fracture behavior through bond breakage between constituent particles, while the basic Hertz-Mindlin contact model was applied between adjacent layers to simulate contact compression and extrusion interaction. This heterogeneous modeling strategy enables a physically realistic representation of intra-layer fracture and inter-layer separation, a distinction that conventional double-layer models cannot achieve. 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 through systematic physical experiments. Contact characteristic parameters, including coefficients of restitution, static friction, and rolling friction for various material pairings, were calibrated by combining experimental measurements with EDEM simulation results. The bonding parameters for the seed coat–seed coat, kernel–kernel, and shell–shell contacts were calibrated separately using a multi-stage experimental design protocol comprising Plackett-Burman screening, steepest ascent climbing, and response surface optimization. For 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. For the whole fruit model, the corresponding relative errors were 1.54% and 1.83%, respectively, indicating that the calibrated model accurately predicts the critical failure loads. To comprehensively evaluate model fidelity beyond single-point peak force comparisons, the experimentally measured and simulated compression load-displacement curves were compared across the entire loading history. The coefficient of determination R2 was employed to quantify the overall agreement between the two curves throughout the elastic deformation, crack initiation, and crack propagation stages. For the whole fruit, the R2 values for transverse and longitudinal compression were 0.92 and 0.90, respectively; for the tea seeds, the R2 values were 0.89 and 0.87, respectively. These high R2 values confirm that the simulation not only matches the peak failure loads but also reproduces 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, corroborating the model's capacity to capture the correct failure morphology. The developed model effectively characterizes the progressive cracking behavior of the fruit shell and the layer-by-layer mechanical response within the tea seeds—from seed coat rupture to kernel deformation—thereby providing a robust theoretical basis and model support for the simulation-driven design and process optimization of dehusking equipment for Camellia oleifera.

     

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