| 引用本文: | 张媛,王超,郭春雨,叶礼裕,刘正.冰弯曲破坏的弹塑性近场动力学模型[J].哈尔滨工业大学学报,2022,54(6):87.DOI:10.11918/202008122 |
| ZHANG Yuan,WANG Chao,GUO Chunyu,YE Liyu,LIU Zheng.An elastoplastic model of ice bending failure in peridynamics[J].Journal of Harbin Institute of Technology,2022,54(6):87.DOI:10.11918/202008122 |
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| 摘要: |
| 为提高粒子方法模拟冰力学性能的准确性,尤其是模拟冰在破坏过程表现出的塑性变形特性,建立了基于无网格粒子法近场动力学理论的冰弯曲破坏弹塑性本构模型。以积分形式表示的近场动力学是一种新兴的非局部理论,它可以应用于无外设准则的破坏过程预报研究,即使在不连续的物体中,仍对变形体有效。首先,依据Von-Mise屈服面准则,建立了基于塑性应变增量与塑性应力增量变化的冰弹塑性本构模型。然后,分析了该模型的边界条件施加方法和冰的失效判断准则。接着,介绍了本构模型在FORTRAN环境下的数值计算方法。最后,利用常规状态型近场动力学方法模拟冰的四点弯曲破坏过程,预报了时间历程的压力曲线。通过冰的四点弯曲过程数值模拟结果与实验结果的比对分析表明,数值模型预报的冰破坏过程、裂纹扩展模式以及压力曲线和试验结果有较高的一致性。由此本文建立的数值模型能够应用于冰的弹塑性弯曲破坏过程预报。该本构模型为模拟船舶在水平冰中航行时的实际破冰过程提高了基本数值策略。 |
| 关键词: 冰弯曲破坏 弹塑性 近场动力学 冰破坏过程 压力曲线 |
| DOI：10.11918/202008122 |
| 分类号:P751,O344.3 |
| 文献标识码:A |
| 基金项目:国家自然科学基金(51909043) |
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| An elastoplastic model of ice bending failure in peridynamics |
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ZHANG Yuan,WANG Chao,GUO Chunyu,YE Liyu,LIU Zheng
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(College of Shipbuilding Engineering, Harbin Engineering University, Harbin 150001, China)
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| Abstract: |
| To improve the accuracy of particle method in simulating the mechanical properties of ice, especially the plastic deformation characteristics of ice in the failure process, this paper proposes an elastoplastic constitutive model of ice bending failure based on the peridynamic theory of meshless particle method. Peridynamics is a newly proposed non-local theory, which is formulated in an integral form and can be applied to predict failures without extra assumptions. In addition, peridynamics is effective in deformed bodies, even in discontinuous objects. First, on the basis of Von-Mise criterion, the elastoplastic constitutive model of ice was established according to the relationship of incremental plastic strain and incremental plastic stress. Then, the application method of boundary conditions and the criterion of ice failure were analyzed. Next, the numerical calculation method of the constitutive model in FORTRAN was introduced. Lastly, the four-point ice bending process was simulated by using the ordinary state-based peridynamics method, and the force curve over time was predicted. The simulation results were compared with experimental results. Results show that ice failure process, crack propagation mode, and force curve predicted by the numerical model were in good agreement with the experimental results. Therefore, the numerical model established in this paper can be applied to the prediction of elastoplastic bending failure process of ice. The proposed constitutive model improves the basic numerical strategy for simulating the actual ice breaking process of ships sailing in horizontal ice. |
| Key words: bending failure of ice elastoplastic peridynamics damage process of ice force curve |
