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粗粒料幂律模型研究 被引量:1

Power Law Model for Coarse-grained Materials
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摘要 粗粒料在三轴试验过程中常表现软化和剪胀性质,而应用较广泛的双曲线模型不能反映这些性质。幂律模型既能反映硬化特性又能模拟双曲线模型不能反映的应变软化关系,因而能合理地反映粗粒料的应力应变关系。先叙述了粗粒料常规三轴试验剪切过程中应力应变和体变的基本特性,然后简要介绍了幂律模型的基本性质。在幂律模型概念的基础上,建立了粗粒料幂律模型。该模型既能反映应变硬化和软化性质,又能模拟剪切过程中体应变的剪缩和剪胀性质,因而能合理地反映粗粒料基本特性。并根据提出的模型推导了切线弹性模量和切线体积模量的公式。最后通过实例进行分析,验证了模型的合理性。 Coarse-grained materials usually show softening and dilatancy properties during triaxial tests,but the practical hyperbolic model can not reflect these proterties.Power law model can describe both strain-hardening and strain-softening behaviors,which can be used effectively to model stress-strain relationship of coarse-grained materials.The advantage of power law model is that it can simulate a hyperbolic shape up to the peak deviator stress and then simulate post peak softening.The stress-strain and volumetric strain properties of coarse-grained materials during shearing process were depicted.Then the theory and property of power law model were introduced.A power law model for coarse-grained materials is proposed based on concept of power law model.The proposed model not only can simulate strain-hardening and strain-softening behaviors but also can reflect dilatancy property.The tangent Young's modulus and tangent bulk modulus are deduced based on the presented model.Finally the rationality of proposed model is validated based on results of an engineering example.
作者 姜景山
出处 《科学技术与工程》 2011年第12期2853-2857,共5页 Science Technology and Engineering
关键词 粗粒料 幂律模型 双曲线模型 应变软化 应力-应变关系 剪胀 切线弹性模量 切线体积模量 coarse-grained materials power law model hyperbolic model strain-softening stress-strain relationship dilatancy tangent Young's modulus tangent bulk modulus
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参考文献4

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