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Solid deformation interface calculation method considering liquid surface tension

A liquid surface tension and calculation method technology, applied in design optimization/simulation, instrumentation, electrical digital data processing, etc., can solve problems such as inability to calculate fluid surface force, inability to satisfy the number of atoms, inability to calculate grid node boundary curvature, etc.

Active Publication Date: 2020-05-29
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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  • Solid deformation interface calculation method considering liquid surface tension
  • Solid deformation interface calculation method considering liquid surface tension
  • Solid deformation interface calculation method considering liquid surface tension

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Experimental program
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Effect test

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 step △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]

[00...

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Abstract

The invention provides a solid deformation interface calculation method considering liquid surface tension. A displacement-surface force decoupling numerical method is directly considered, discrete points of a fluid-solid boundary surface in a finite element model are fitted by utilizing a cubic spline curve, the curvature of each point is calculated, overall curvature data of a liquid-solid interface is obtained, and the fluid-solid coupling load problem with surface tension is solved. According to the method, boundary curvature calculation and finite element analysis are alternately carriedout, and the functions of preprocessing, postprocessing, nonlinear constitutive relation and the like of an existing finite element program can be fully utilized.

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