Capillary Model of a wound Thick-Walled Cylinder

A technique for elastic-plastic analysis of a thick-walled elastic-plastic cylinder under internal pressure is proposed. It involves two parametric functions and piecewise linearization of the stress-strain curve. A deformation type of relationship is combined with Hooke’s law in such a way that stress-strain law has the same form in all linear segments, but each segment involves different material parameters. Elastic values are used to describe elastic part of deformation during loading and also during unloading. The technique involves the use of deformed geometry to satisfy the boundary and other relevant conditions. The value of strain energy required for deformation is found to depend on whether initial or final geometry is used to satisfy the boundary conditions. In the case of low work-hardening solid, the difference is significant and cannot be ignored. As well, it is shown that the new formulation is appropriate for elastic-plastic fracture calculations.

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Quantitative assessment of an integrated hydrodynamic thermal-capillary model for large-diameter Czochralski growth of silicon: comparison of predicted temperature field with experiment

Journal of Crystal Growth ◽

10.1016/0022-0248(93)90047-z ◽

1993 ◽

Vol 126 (2-3) ◽

pp. 413-434 ◽

Cited By ~ 41

Author(s):

T.A. Kinney ◽

D.E. Bornside ◽

R.A. Brown ◽

K.M. Kim

Keyword(s):

Temperature Field ◽

Quantitative Assessment ◽

Large Diameter ◽

Czochralski Growth ◽

Capillary Model

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Visual Simulation of Soil-Structure Destruction with Seepage Flows

Proceedings of the ACM on Computer Graphics and Interactive Techniques ◽

10.1145/3480141 ◽

2021 ◽

Vol 4 (3) ◽

pp. 1-18

Author(s):

Xu Wang ◽

Makoto Fujisawa ◽

Masahiko Mikawa

Keyword(s):

Soil Structure ◽

Water Saturation ◽

Seepage Flow ◽

Momentum Exchange ◽

Visual Effects ◽

Seepage Rate ◽

Capillary Model ◽

Seepage Flows ◽

Dam Breaking ◽

Soil And Water

This paper introduces a method for simulating soil-structure coupling with water, which involves a series of visual effects, including wet granular materials, seepage flows, capillary action between grains, and dam breaking simulation. We develop a seepage flow based SPH-DEM framework to handle soil and water particles interactions through a momentum exchange term. In this framework, water is seen as a seepage flow through porous media by Darcy's law; the seepage rate and the soil permeability are manipulated according to drag coefficient and soil porosity. A water saturation-based capillary model is used to capture various soil behaviors such as sandy soil and clay soil. Furthermore, the capillary model can dynamically adjust liquid bridge forces induced by surface tension between soil particles. The adhesion model describes the attraction ability between soil surfaces and water particles to achieve various visual effects for soil and water. Lastly, this framework can capture the complicated dam-breaking scenarios caused by overtopping flow or internal seepage erosion that are challenging to simulate.

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Study on the Best Reinforcement Arrangement of Thick-Walled Cylinder

Applied Mechanics and Materials ◽

10.4028/www.scientific.net/amm.94-96.2009 ◽

2011 ◽

Vol 94-96 ◽

pp. 2009-2014

Author(s):

Yun Qian Xu ◽

Ai Zhong Lu ◽

Ning Zhang ◽

Pan Cui

Keyword(s):

Stress State ◽

Bearing Capacity ◽

Functionally Graded Material ◽

Radial Direction ◽

Plain Concrete ◽

Functionally Graded ◽

Reinforcement Ratio ◽

Uniform Load ◽

Graded Material ◽

Walled Cylinder

In order to improve the ultimate bearing capacity, In this paper, the theory of functionally graded material is introduced. This paper simulate thick-walled cylinder with functionally graded characteristics through the analysis of using different reinforced ways along the radial direction. The author analyzes the stress state of the thick-walled cylinder with plain concrete and three different reinforced ways under the radical uniform load. Comparisons and evaluations are provided based on ANSYS results. The paper provide a reasonable reinforced way that is a larger reinforcement ratio near the outer and a smaller reinforcement ratio near the inner and is different with the traditional way. But the worst reinforcement arrangement is that a larger reinforcement ratio near the inner and a smaller reinforcement ratio near the outer. The conclusion shows that the principle that larger reinforcement ratio should be adopted where the tangential stress is larger is not suitable to the thick-walled cylinder.

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A limit load solution for a thick-walled cylinder with a fully circumferential crack under axial tension

The Journal of Strain Analysis for Engineering Design ◽

10.1243/03093247jsa521 ◽

2009 ◽

Vol 44 (6) ◽

pp. 407-416 ◽

Cited By ~ 3

Author(s):

P J Budden ◽

Y Lei

Keyword(s):

Finite Element ◽

Plastic Material ◽

Yield Criterion ◽

Limit Load ◽

Cylinder Wall ◽

Perfectly Plastic ◽

Elastic Perfectly Plastic ◽

Von Mises ◽

Inside Radius ◽

Walled Cylinder

Limit loads for a thick-walled cylinder with an internal or external fully circumferential surface crack under pure axial load are derived on the basis of the von Mises yield criterion. The solutions reproduce the existing thin-walled solution when the ratio between the cylinder wall thickness and the inside radius tends to zero. The solutions are compared with published finite element limit load results for an elastic–perfectly plastic material. The comparison shows that the theoretical solutions are conservative and very close to the finite element data.

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Elastic-plastic transition stresses in a transversely isotropic thick-walled cylinder subjected to internal pressure and steady-state temperature

Thermal Science ◽

10.2298/tsci0904107p ◽

2009 ◽

Vol 13 (4) ◽

pp. 107-118 ◽

Cited By ~ 4

Author(s):

Thakur Pankaj

Keyword(s):

Steady State ◽

Internal Pressure ◽

Isotropic Material ◽

Internal Surface ◽

Transversely Isotropic ◽

Percentage Increase ◽

Transversely Isotropic Material ◽

Elastic Plastic ◽

Steady State Temperature ◽

Walled Cylinder

Elastic-plastic transitional stresses in a transversely isotropic thick-walled cylinder subjected to internal pressure and steady-state temperature have been derived by using Seth's transition theory. The combined effects of pressure and temperature has been presented graphically and discussed. It has been observed that at room temperature, thick-walled cylinder made of isotropic material yields at a high pressure at the internal surface as compared to cylinder made of transversely isotropic material. With the introduction of thermal effects isotropic/transversely isotropic cylinder yields at a lower pressure whereas cylinder made of isotropic material requires less percentage increase in pressure to become fully-plastic from its initial yielding as compared to cylinder made of transversely isotropic material.

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A Fractal Model for Predicting the Relative Permeability of Rough-Walled Fractures

Advances in Civil Engineering ◽

10.1155/2021/6623275 ◽

2021 ◽

Vol 2021 ◽

pp. 1-10

Author(s):

Zuyang Ye ◽

Wang Luo ◽

Shibing Huang ◽

Yuting Chen ◽

Aiping Cheng

Keyword(s):

Porous Media ◽

Multiphase Flow ◽

Relative Permeability ◽

Fractal Model ◽

Numerical Results ◽

Flow Paths ◽

Capillary Model ◽

Lognormal Distributions ◽

Fractal Characteristics ◽

Aperture Distribution

The relative permeability and saturation relationships through fractures are fundamental for modeling multiphase flow in underground geological fractured formations. In contrast to the traditional straight capillary model from porous media, the realistic flow paths in rough-walled fractures are tortuous. In this study, a fractal relationship between relative permeability and saturation of rough-walled fractures is proposed associated with the fractal characteristics of tortuous parallel capillary plates, which can be generalized to several existing models. Based on the consideration that the aperture distribution of rough-walled fracture can be represented by Gaussian and lognormal distributions, aperture-based expressions between relative permeability and saturation are explicitly derived. The developed relationships are validated by the experimental observations on Gaussian distributed fractures and numerical results on lognormal distributed fractures, respectively.

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