In this paper,we investigate two new transportation models with breakability and restriction on transportation.Sometime in transportation process the items which are transported,have got damaged due to bad conditions ...In this paper,we investigate two new transportation models with breakability and restriction on transportation.Sometime in transportation process the items which are transported,have got damaged due to bad conditions of the road and vehicle.Here we consider the problem that there are so many plants and customers and the goods are transported in n-stages.We formulate two transportationmodels under crisp and fuzzy environment where we consider the transportation parameters are crisp and fuzzy in nature,respectively.We also consider the breakability(takes the deterministic value for the respectivemodels)at each stages.For the fuzzy model,generalized triangular fuzzy number and mean ofα-cut method are considered.Numerical illustration is provided to illustrate the developed models.展开更多
Experimental investigation of ice flee breakup on waves by use of non-refrigerated breakable materials has been carried out. The incident wave heights for breakup of ice flee with different lengths, and the influence ...Experimental investigation of ice flee breakup on waves by use of non-refrigerated breakable materials has been carried out. The incident wave heights for breakup of ice flee with different lengths, and the influence of rigidity on reflection and transmission coefficients are discussed. The experimental results show that the ratio of the ice noe length, L-i, to the wavelength, L, is one of the significant factor affecting the minimum wave height to cause fracture of ice flee, and another key factor is the ratio of the ice flee thickness, h(i) and L-i.展开更多
Soil-rock mixture(S-RM)is a widely distributed geotechnical medium composed of "soil" and "rock block" different both in size and strength. Internal rock blocks form special and variable meso-struc...Soil-rock mixture(S-RM)is a widely distributed geotechnical medium composed of "soil" and "rock block" different both in size and strength. Internal rock blocks form special and variable meso-structural characteristics of S-RM. The objective of this work was to study the control mechanism of meso-structural characteristics on mechanical properties of S-RM. For S-RM containing randomly generated polygonal rock blocks, a series of biaxial tests based on DEM were conducted. On the basis of research on the effects of rock blocks' breakability and sample lateral boundary type(rigid, flexible) on macroscopic mechanical behavior of S-RM, an expanded Mohr-Coulomb criterion in power function form was proposed to represent the strength envelop. At the mesoscopic level, the variations of meso-structure such as rotation of rock block, and the formation mechanism and evolution process of the shear band during tests were investigated. The results show that for S-RM with a high content of rock block, translation, rotating and breakage of rock blocks have crucial effects on mechanical behavior of S-RM. The formation and location of the shear band inside S-RM sample are also controlled by breakability and arrangement of rock blocks.展开更多
To understand the dynamic process of polymer detachment, it is necessary to determine the mean detachment time of a single breakable link, which is modeled as a spring. Normally, this time can be viewed as the escape ...To understand the dynamic process of polymer detachment, it is necessary to determine the mean detachment time of a single breakable link, which is modeled as a spring. Normally, this time can be viewed as the escape of a Brownian particle from the potential well of the spring. However, as the free dangling length of the polymer chain increases, the conformational entropy of the chain is affected by geometric confinement. It means that the wall exerts a repulsive force on the chain, resulting in accelerated link detachment from a macroscopic perspective. In this work, we investigate the effect of entropy on the detachment rate in the case where the substrate is spherical. We demonstrate that spherical confinement accelerates chain detachment both inside and outside the sphere. An analytical expression for the mean detachment time of breakable links is given, which includes an additional pre-factor that is related to the partition function. Additionally, we analyze the expressions for entropic forces inside the sphere, outside the sphere, and on a flat wall, comparing their magnitudes to explain the difference in mean detachment time.展开更多
文摘In this paper,we investigate two new transportation models with breakability and restriction on transportation.Sometime in transportation process the items which are transported,have got damaged due to bad conditions of the road and vehicle.Here we consider the problem that there are so many plants and customers and the goods are transported in n-stages.We formulate two transportationmodels under crisp and fuzzy environment where we consider the transportation parameters are crisp and fuzzy in nature,respectively.We also consider the breakability(takes the deterministic value for the respectivemodels)at each stages.For the fuzzy model,generalized triangular fuzzy number and mean ofα-cut method are considered.Numerical illustration is provided to illustrate the developed models.
基金This work was financially supported by Scientific fund for national outstanding youth under Grant No.59725919
文摘Experimental investigation of ice flee breakup on waves by use of non-refrigerated breakable materials has been carried out. The incident wave heights for breakup of ice flee with different lengths, and the influence of rigidity on reflection and transmission coefficients are discussed. The experimental results show that the ratio of the ice noe length, L-i, to the wavelength, L, is one of the significant factor affecting the minimum wave height to cause fracture of ice flee, and another key factor is the ratio of the ice flee thickness, h(i) and L-i.
基金Projects(51323014,51479095)supported by the National Natural Science Foundation of ChinaProject(20111081125)supported by Independent Research Plan of Tsinghua University,ChinaProject(2013-KY-4)supported by the State Key Laboratory of Hydroscience and Engineering Project,China
文摘Soil-rock mixture(S-RM)is a widely distributed geotechnical medium composed of "soil" and "rock block" different both in size and strength. Internal rock blocks form special and variable meso-structural characteristics of S-RM. The objective of this work was to study the control mechanism of meso-structural characteristics on mechanical properties of S-RM. For S-RM containing randomly generated polygonal rock blocks, a series of biaxial tests based on DEM were conducted. On the basis of research on the effects of rock blocks' breakability and sample lateral boundary type(rigid, flexible) on macroscopic mechanical behavior of S-RM, an expanded Mohr-Coulomb criterion in power function form was proposed to represent the strength envelop. At the mesoscopic level, the variations of meso-structure such as rotation of rock block, and the formation mechanism and evolution process of the shear band during tests were investigated. The results show that for S-RM with a high content of rock block, translation, rotating and breakage of rock blocks have crucial effects on mechanical behavior of S-RM. The formation and location of the shear band inside S-RM sample are also controlled by breakability and arrangement of rock blocks.
基金financially supported by the National Natural Science Foundation of China (No.51965057)Xinjiang Tianchi Ph D Project (No.TCBS202113)+3 种基金the Natural Science Foundation of Xinjiang (No.2022D01C34)Xinjiang Basic Research Funds for Universities (No.XJEDU2022P017)Robot-Intelligent Equipment Technology Innovation (No.2022D14002)Xinjiang Tianshan Science Technology Innovation Leading Talents Program (No.2022TSYCLJ0044)。
文摘To understand the dynamic process of polymer detachment, it is necessary to determine the mean detachment time of a single breakable link, which is modeled as a spring. Normally, this time can be viewed as the escape of a Brownian particle from the potential well of the spring. However, as the free dangling length of the polymer chain increases, the conformational entropy of the chain is affected by geometric confinement. It means that the wall exerts a repulsive force on the chain, resulting in accelerated link detachment from a macroscopic perspective. In this work, we investigate the effect of entropy on the detachment rate in the case where the substrate is spherical. We demonstrate that spherical confinement accelerates chain detachment both inside and outside the sphere. An analytical expression for the mean detachment time of breakable links is given, which includes an additional pre-factor that is related to the partition function. Additionally, we analyze the expressions for entropic forces inside the sphere, outside the sphere, and on a flat wall, comparing their magnitudes to explain the difference in mean detachment time.
