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Calculation method of solid deformation interface considering liquid surface tension

A technology of liquid surface tension and calculation method, which is applied in design optimization/simulation, instrumentation, electrical digital data processing, etc. It can solve the problem of not being able to calculate the boundary curvature of grid nodes, unable to meet the number of atoms, and unable to give the overall boundary curvature And other issues

Active Publication Date: 2022-04-22
NANJING UNIV OF AERONAUTICS & ASTRONAUTICS
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Problems solved by technology

The molecular dynamics theory is used to simulate the droplet inclusion problem, and detailed analysis can be carried out at the microscopic scale. This method is limited by time and space scales, and is not suitable for calculating large-scale problems, and cannot satisfy the situation of a very large number of atoms.
Using the existing finite element commercial software, only the displacement of each node can be calculated, the curvature of the grid node boundary cannot be calculated, the curvature of the overall boundary cannot be given, and the surface force of the fluid on the solid cannot be calculated

Method used

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  • Calculation method of solid deformation interface considering liquid surface tension
  • Calculation method of solid deformation interface considering liquid surface tension
  • Calculation method of solid deformation interface considering liquid surface tension

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Experimental program
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Embodiment 1

[0044] Step 1: Establish a fluid-solid coupling geometric model.

[0045] Step 2: Mesh division using finite element software, such as figure 2 .

[0046]Step 3: Divide the external load F into N steps, the initial load is 0, and the load increment △F=F / N.

[0047] Step 4: Extract the node coordinates of the fluid-solid boundary surface, assuming that there are 40 nodes in total, the coordinates are (x 0 ,y 0 ), (x 1 ,y 1 ),..., (x 40 ,y 40 ), according to formula (1), carry out cubic spline curve fitting.

[0048]

[0049] in

[0050] Step 4.1: In the interval [0,1], generate 40+1 points, which are 0,1 / 40, 2 / 40,...,39 / 40,1.

[0051] Step 4.2: Let t 0 =0,t 1 = 1 / 40,t 2 =2 / 40,...,t 39-1 =39 / 40,t 40 =1.

[0052] Step 4.3: Put x 0 =x(t 0 ),x 1 =x(t 1 ),…,x 39 =x(t 39 ),x 40 =x(t 40 ) and t 0 ,t 1 ,...,t 39 ,t 40 Into the formula (9), get 41 about α 1 , α 2 , α 3 , α 4 , β 1 , β 2 ,...,β 38 , β 39 parameter equation.

[0053]

[0054] i...

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Abstract

The invention provides a method for calculating the solid deformation interface considering the surface tension of the liquid, directly considering the displacement-surface force decoupling numerical method, and using the cubic spline curve to fit the discrete points of the fluid-solid boundary surface in the finite element model , calculate the curvature of each point, obtain the overall curvature data of the liquid-solid interface, and solve the fluid-solid coupling load problem with surface tension. The calculation of the boundary curvature and the finite element analysis are carried out alternately in the present invention, which can make full use of the functions of pre-processing, post-processing, nonlinear constitutive relation and the like of the existing finite element program.

Description

technical field [0001] The invention relates to the field of solid deformation interface calculation, in particular to a solid deformation interface calculation method considering liquid surface tension. Background technique [0002] Soil, concrete, and biological tissue belong to the liquid-containing porous solid medium structure, and this structure with fluid-solid coupling properties is widely used in people's production practice. At the interface between the fluid and the solid, the liquid surface is forced to shrink due to the uneven force on the liquid molecules, forming surface tension. For liquid-containing porous solid medium structure, when the pore size and the elastic modulus of the solid are small, the effect of the liquid surface tension has a more obvious effect on the deformation of the solid. In addition, the magnitude of the force generated by the surface tension of a liquid on a solid is related to the curvature of the solid. When a solid deforms, the c...

Claims

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): G06F30/20G06F30/23G06F119/14
Inventor 杨帆张杜江
Owner NANJING UNIV OF AERONAUTICS & ASTRONAUTICS
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