Method for establishing joint cartilage two-phase model on the basis of hyperelastic solid phase characteristics

A technology for articular cartilage and method of establishment, applied in special data processing applications, instruments, electrical digital data processing, etc., and can solve problems such as differences and failures of articular cartilage

Inactive Publication Date: 2016-12-07
HARBIN UNIV OF SCI & TECH
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  • Summary
  • Abstract
  • Description
  • Claims
  • Application Information

AI Technical Summary

Problems solved by technology

[0004] The present invention aims to solve the problem that the model that regards the solid phase of cartilage as a linear elas

Method used

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  • Method for establishing joint cartilage two-phase model on the basis of hyperelastic solid phase characteristics
  • Method for establishing joint cartilage two-phase model on the basis of hyperelastic solid phase characteristics
  • Method for establishing joint cartilage two-phase model on the basis of hyperelastic solid phase characteristics

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specific Embodiment approach 1

[0092] A method for establishing a two-phase model of articular cartilage based on superelastic solid phase properties, comprising the following steps:

[0093] Step 1, geometric model and mesh division:

[0094] Taking the joint as the research object, by obtaining the CT data of the joint, the obtained data is output in DICOM format and stored in the computer; through the image segmentation function in MIMICS, the articular cartilage area in the CT data is separated from other tissues, and the three-dimensional Reconstruct the geometric model of the human tissue to be studied;

[0095] From DICOM data to generating the grid model and obtaining the model’s unit number and node coordinates as the original data for deformation calculation input, the acquisition process is as follows: figure 1 shown;

[0096] Step 2, establishing a two-phase model of articular cartilage based on the mixture theory and a control equation based on the v-p variable, including the following steps:...

specific Embodiment approach 2

[0173] The specific process of establishing the articular cartilage mechanical balance equation in step 3.3 described in this embodiment is as follows:

[0174] The unit type of the finite element solution is tetrahedral unit, and the shape function is selected as the weight function of the differential equation and boundary conditions, and the weight functions in the weighted residual integral expression are respectively N J and -N J , to obtain the corresponding weighted residual expression, and the simplified weighted residual integral expression obtained through the Gauss divergence theorem and the definition of the total traction force is:

[0175] ∫ Ω { ▿ N J T : σ ...

specific Embodiment approach 3

[0192] The specific process of solving the articular cartilage mechanical balance equation described in step 3.4 of the present embodiment is as follows:

[0193] Numerical calculation of articular cartilage mechanical balance equation (34) by finite difference method:

[0194] First, the incremental method is used in the time domain to discretize the time t into several time points, namely:

[0195] 0=t 0 1 n n+1 N =t (35)

[0196] The time increment is expressed as:

[0197] Δt n+1 = t n+1 -t n (36)

[0198] Using the complete Lagrangian method, let the initial time t 0 = 0 as the reference configuration, and the reference configuration does not change with time; at t n+1 Moment formula (34) is written as:

[0199] Y n+1 v n+1 +M n+1 = f n+1 (37)

[0200] By the Newton-Raphson method, the linearized form of M is obtained by the following recursion:

[0201] M n ...

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Abstract

The invention discloses a method for establishing a joint cartilage two-phase model on the basis of joint hyperelastic solid phase characteristics, and relates to a method for establishing a joint hyperelastic two-phase model. In order to solve the problem that a model which takes a cartilage solid phase as a linear elastic material has a great difference with a practical situation and even fails when the model generates large deformation by aiming at a joint cartilage, the method comprises the following steps of: firstly, obtaining the geometric model of human tissues which need to be researched according to the CT (Computed Tomography) data reconstruction of the joint; then, obtaining the unit number and the node coordinate of the model as the original data input by deformation calculation, and establishing the joint cartilage two-phase model based on a theory of mixtures and a control equation based on v-p variables; and then, establishing a joint cartilage mechanics equilibrium equation, and carrying out finite element calculation. The method is suitable for establishing and simulating the joint cartilage two-phase model.

Description

technical field [0001] The invention relates to a method for establishing a two-phase model of articular cartilage. Background technique [0002] Articular cartilage is mainly composed of water and complex organic matter. The complex organic matter mainly includes collagen fibers and proteoglycans, and the interstitial fluid mainly contains water. The flow of these fluids not only has an important impact on the mechanical properties of cartilage, but also has a close relationship with the transport of nutrients in avascular tissue. At the same time, the articular cartilage makes the joint have an extremely low coefficient of friction and plays a good role in lubrication. The lubrication of articular cartilage is extremely important for the ability of articular joints to move and bear loads. Therefore, the study of the mechanical properties of articular cartilage, the understanding of its stress and strain conditions during exercise, and the changing laws of various mechani...

Claims

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Application Information

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IPC IPC(8): G06F17/50
CPCG06F30/23
Inventor 王沫楠
Owner HARBIN UNIV OF SCI & TECH
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