In this study,an improved integrated radial basis function with nonuniform shape parameter is introduced.The proposed shape parameter varies in each support domain and is defined byθ=1/d_(max),where d_(max)is the max...In this study,an improved integrated radial basis function with nonuniform shape parameter is introduced.The proposed shape parameter varies in each support domain and is defined byθ=1/d_(max),where d_(max)is the maximum distance of any pair of nodes in the support domain.The proposed method is verified and shows good performance.The results are stable and accurate with any number of nodes and an arbitrary nodal distribution.Notably,the support domain should be large enough to obtain accurate results.This method is then applied for transient analysis of curved shell structures made from functionally graded materials with complex geometries.Through several numerical examples,the accuracy of the proposed approach is demonstrated and discussed.Additionally,the influence of various factors on the dynamic behavior of the structures,including the power-law index,different materials,loading conditions,and geometrical parameters of the structures,was investigated.展开更多
As an emerging multifunctional metal with the lowest melting point except for mercury,gallium combines a wide range of metallic and non-metallic elements to form advanced semiconductors critically important in cutting...As an emerging multifunctional metal with the lowest melting point except for mercury,gallium combines a wide range of metallic and non-metallic elements to form advanced semiconductors critically important in cutting-edge technologies.However,due to its low melting point and poor machinability,it is quite difficult to simultaneously characterize gallium’s elastic properties and damping characteristics using conventional methods,which is es-sential in designing and evaluating gallium-based structures.Therefore,developing effective methods to achieve accurate and efficient measurements of Young’s modulus and corresponding internal friction of gallium is of great significance.This letter studies simultaneous measurements of the variations in Young’s modulus and internal friction of gallium at varying temperatures by employing the modified piezoelectric ultrasonic composite oscil-lator technique.Combining the explicit theoretical formulas with the measured resonance and anti-resonance frequencies,it has been discovered that Young’s modulus undergoes an approximately linear decrease as the temperature rises,declining from 83.84 GPa at -70℃ to 79.37 GPa at 20℃.Moreover,like aluminum in the same Group ⅢA of the Periodic Table of Elements and exhibits a grain-boundary internal friction peak,gallium displays a longitudinal internal friction peak at approximately-12°C,with the peak value reaching 1.77×10^(-3).This basic research on gallium’s elastic properties and damping characteristics under low-temperature condi-tions will inspire further explorations of the mechanical properties of a diverse spectrum of low-melting-point functional materials and facilitate applications of gallium-based structures under complex conditions.展开更多
颗粒系统堆积的休止角是颗粒学中一个基础性的科学问题,深入认识其影响因素和变化规律对于土木、化工等工程优化具有重要意义.目前基于实验测量的研究受限于可用的颗粒种类和测量手段,难以完备地揭示各种物理参数对休止角的影响规律.离...颗粒系统堆积的休止角是颗粒学中一个基础性的科学问题,深入认识其影响因素和变化规律对于土木、化工等工程优化具有重要意义.目前基于实验测量的研究受限于可用的颗粒种类和测量手段,难以完备地揭示各种物理参数对休止角的影响规律.离散元(Discrete element method,DEM)是一种可直接对复杂的大型颗粒系统的运动进行仿真的数值方法.本文借助DEM方法对颗粒系统的休止角问题开展了高精度数值研究,揭示了影响颗粒堆积休止角的重要颗粒物性参数.在DEM建模方面,为了表征非球形度对仿真的影响,本研究采用了滚动摩擦系数,并利用既有的实验数据进行了模型验证.同时,本文利用堆积体在垂直平面内投影的二值化图像来合理计算休止角.仿真结果表明,滑动和滚动摩擦系数均与休止角的大小呈正相关,滑动摩擦系数的增加可将休止角提升一倍,而滚动摩擦系数对休止角的影响存在一个上限阈值,达到该阈值后将不能继续增加休止角的大小;颗粒的杨氏模量、回弹系数对休止角的影响不显著.此外,本文利用DEM方法研究了堆积体的传热特性,发现在加热过程中,堆积体内部具有最高热流率的区域从堆积体的底部迁移到上部.展开更多
Granular segregation is widely observed in nature and industry.Most research has focused on segregation caused by differences in the size and density of spherical grains.However,due to the fact that grains typically h...Granular segregation is widely observed in nature and industry.Most research has focused on segregation caused by differences in the size and density of spherical grains.However,due to the fact that grains typically have different shapes,the focus is shifting towards shape segregation.In this study,experiments are conducted by mixing cubic and spherical grains.The results indicate that spherical grains gather at the center and cubic grains are distributed around them,and the degree of segregation is low.Through experiments,a structured analysis of local regions is conducted to explain the inability to form stable segregation patterns with obviously different geometric shapes.Further,through simulations,the reasons for the central and peripheral distributions are explained by comparing velocities and the number of collisions of the grains in the flow layer.展开更多
基金Ho Chi Minh City University of Technology (HCMUT), VNU-HCM for supporting this study
文摘In this study,an improved integrated radial basis function with nonuniform shape parameter is introduced.The proposed shape parameter varies in each support domain and is defined byθ=1/d_(max),where d_(max)is the maximum distance of any pair of nodes in the support domain.The proposed method is verified and shows good performance.The results are stable and accurate with any number of nodes and an arbitrary nodal distribution.Notably,the support domain should be large enough to obtain accurate results.This method is then applied for transient analysis of curved shell structures made from functionally graded materials with complex geometries.Through several numerical examples,the accuracy of the proposed approach is demonstrated and discussed.Additionally,the influence of various factors on the dynamic behavior of the structures,including the power-law index,different materials,loading conditions,and geometrical parameters of the structures,was investigated.
基金financially supported by the National Key R&D Program of China(Grant No.2023YFF0716800)the National Natural Science Foundation of China(Grant No.12074160)the Natural Science Foundation of Liaoning Province of China(Grant No.2024-MS-181).
文摘As an emerging multifunctional metal with the lowest melting point except for mercury,gallium combines a wide range of metallic and non-metallic elements to form advanced semiconductors critically important in cutting-edge technologies.However,due to its low melting point and poor machinability,it is quite difficult to simultaneously characterize gallium’s elastic properties and damping characteristics using conventional methods,which is es-sential in designing and evaluating gallium-based structures.Therefore,developing effective methods to achieve accurate and efficient measurements of Young’s modulus and corresponding internal friction of gallium is of great significance.This letter studies simultaneous measurements of the variations in Young’s modulus and internal friction of gallium at varying temperatures by employing the modified piezoelectric ultrasonic composite oscil-lator technique.Combining the explicit theoretical formulas with the measured resonance and anti-resonance frequencies,it has been discovered that Young’s modulus undergoes an approximately linear decrease as the temperature rises,declining from 83.84 GPa at -70℃ to 79.37 GPa at 20℃.Moreover,like aluminum in the same Group ⅢA of the Periodic Table of Elements and exhibits a grain-boundary internal friction peak,gallium displays a longitudinal internal friction peak at approximately-12°C,with the peak value reaching 1.77×10^(-3).This basic research on gallium’s elastic properties and damping characteristics under low-temperature condi-tions will inspire further explorations of the mechanical properties of a diverse spectrum of low-melting-point functional materials and facilitate applications of gallium-based structures under complex conditions.
文摘颗粒系统堆积的休止角是颗粒学中一个基础性的科学问题,深入认识其影响因素和变化规律对于土木、化工等工程优化具有重要意义.目前基于实验测量的研究受限于可用的颗粒种类和测量手段,难以完备地揭示各种物理参数对休止角的影响规律.离散元(Discrete element method,DEM)是一种可直接对复杂的大型颗粒系统的运动进行仿真的数值方法.本文借助DEM方法对颗粒系统的休止角问题开展了高精度数值研究,揭示了影响颗粒堆积休止角的重要颗粒物性参数.在DEM建模方面,为了表征非球形度对仿真的影响,本研究采用了滚动摩擦系数,并利用既有的实验数据进行了模型验证.同时,本文利用堆积体在垂直平面内投影的二值化图像来合理计算休止角.仿真结果表明,滑动和滚动摩擦系数均与休止角的大小呈正相关,滑动摩擦系数的增加可将休止角提升一倍,而滚动摩擦系数对休止角的影响存在一个上限阈值,达到该阈值后将不能继续增加休止角的大小;颗粒的杨氏模量、回弹系数对休止角的影响不显著.此外,本文利用DEM方法研究了堆积体的传热特性,发现在加热过程中,堆积体内部具有最高热流率的区域从堆积体的底部迁移到上部.
基金Project supported by the National Natural Science Foundation of China (Grant Nos.12072200 and 12372384)。
文摘Granular segregation is widely observed in nature and industry.Most research has focused on segregation caused by differences in the size and density of spherical grains.However,due to the fact that grains typically have different shapes,the focus is shifting towards shape segregation.In this study,experiments are conducted by mixing cubic and spherical grains.The results indicate that spherical grains gather at the center and cubic grains are distributed around them,and the degree of segregation is low.Through experiments,a structured analysis of local regions is conducted to explain the inability to form stable segregation patterns with obviously different geometric shapes.Further,through simulations,the reasons for the central and peripheral distributions are explained by comparing velocities and the number of collisions of the grains in the flow layer.
