基于Mohr-Coulomb准则的黏弹-塑性海冰动力学本构模型
A viscoelastic-plastic constitutive model with Mohr-Coulomb yielding criterion for sea ice dynamics
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摘要: 针对中小尺度下海冰动力作用过程中的漂移、重叠和堆积特征,在连续介质力学基础上建立了一个黏弹塑性海冰动力学本构模型.该模型主要包括四部分,即海冰在屈服前的Kelvin Vogit黏弹模型、海冰塑性屈服的Mohr Coulomb准则、屈服后相关联的正交流动法则和影响海冰强度的静水压力.采用黏弹塑性本构模型对规则海域内的海冰堆积过程进行了数值试验,其结果与传统黏塑性模型、改进的黏塑性模型和经典冰坝理论的解析解相符,可合理地模拟海冰堆积的动力过程.为进一步检验该黏弹塑性本构模型的适用性,对渤海海冰的动力过程进行了48h的数值模拟,计算结果与海冰卫星遥感现场观测资料一致.通过与传统的黏塑性和改进的黏塑性模型结果的对比分析,进一步验证了黏弹塑性模型在中小尺度海冰动力学模拟中的可靠性.在以上海冰堆积的数值试验和渤海海冰动力学模拟中均采用了光滑质点流体动力学(SPH)方法.
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关键词:
- 海冰动力学 /
- 本构模型 /
- 黏塑性 /
- 黏弹塑性 /
- Mohr-Coulomb准则
Abstract: A new viscoelastic-plastic(VEP) constitutive model for seaice dynamics is developed based on continuum mechanics.This model consists of four components:Kelvin-Vogit viscoelastic model,Mohr-Coulomb yielding criterion,associated normality flow rule for plastic rheology,and hydrostatic pressure.The numerical simulations for ice motion in an idealized rectangular basin are carried out using smoothed particle hydrodynamics(SPH) method,and compared with the analytical solution as well as those based on the modified viscous plastic(VP) model and static ice jam theory.These simulations show that the new VEP model can simulate ice dynamics accurately.The new constitutive model is further applied to simulating ice dynamics of the Bohai Sea and compared with the traditional V P,and modified VP models.The results of VEP model are compared better with the satellite remote sensing images,and the simulating ice conditions in the JZ20-2 Oil Plat form area are more reaso nable. -
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