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Meshless-method-based numerical algorithm of FG-GRC (functionally-graded graphene-reinforced composite) laminate buckling load factor

A buckling load, meshless technology, applied in CAD numerical modeling, calculation, geometric CAD, etc., can solve the problems of analysis of difficult and complex three-dimensional structures, deviation of calculation results, long calculation time, etc., to achieve good accuracy, Improved accuracy, good smoothness

Inactive Publication Date: 2018-06-01
NANJING UNIV OF SCI & TECH
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Problems solved by technology

But the finite element method has some deficiencies and defects when dealing with large deformation problems.
The finite element method takes a discrete grid as the research object, which makes the approximate function of the finite element method have grid dependence, and grid distortion is easy to cause some calculation problems; the preprocessing of the finite element method requires not only node information, but also grid information , it is not easy to analyze complex three-dimensional structures; the calculation results of the finite element method are non-smooth and continuous, and post-processing such as stress smoothing is required; due to the different types of grids divided by the finite element method, the calculation results are biased; When using the method to calculate, it is necessary to process the information of the grid and nodes, so the calculation amount is large and the calculation time is long

Method used

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  • Meshless-method-based numerical algorithm of FG-GRC (functionally-graded graphene-reinforced composite) laminate buckling load factor
  • Meshless-method-based numerical algorithm of FG-GRC (functionally-graded graphene-reinforced composite) laminate buckling load factor
  • Meshless-method-based numerical algorithm of FG-GRC (functionally-graded graphene-reinforced composite) laminate buckling load factor

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Embodiment

[0156] In order to verify the feasibility of the algorithm scheme, MATLAB programming software was used to write a calculation program for the algorithm, and specific parameters were substituted to solve the buckling load factor of functionally graded graphene reinforced composite laminates.

[0157] Step 1. Build a model, define the geometric parameters and material parameters of the functionally graded graphene-reinforced composite laminate, and use the extended Halpin-Tsai model to solve the overall material parameters of the functionally graded graphene-reinforced composite.

[0158] The geometric parameters of the functionally graded graphene reinforced composite laminate are length a=0.2m, width b=0.2m and height h=0.02m. The distribution forms of graphene-enhanced materials are uniform distribution and functional gradient distribution, respectively: UD, FG-O and FG-X. The geometric parameters of composite laminates and the distribution of graphene are as follows figur...

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Abstract

The invention discloses a meshless-method-based numerical algorithm of FG-GRC (functionally-graded graphene-reinforced composite) laminate buckling load factor, comprising the steps of constructing amodel to determine geometric parameter and material parameters; solving a linear constitutive equation and a total energy function; constructing a meshless method shape function and applying boundaryconditions; calculating a stiffness matrix, and acquiring buckling load factor through an eigenvalue equation. The buckling load factor of an FG-GRC laminate under external thermal load and axial pressure can be accurately calculated through the algorithm. The algorithm is significant to the researches on the impact of boundary temperature, graphene distribution form, laminate length-width ratio and width-height ratio, number of laminas and the like upon buckling characteristics of FG-GRC laminates.

Description

technical field [0001] The invention relates to the mechanical performance technology of functionally graded composite materials, in particular to a numerical algorithm for the buckling load factor of FG-GRC plates based on the gridless method. Background technique [0002] At present, in the research field of mechanical properties of functionally graded composite materials, the most widely used method is the finite element method. Many scholars at home and abroad use the finite element method to analyze the mechanical properties of materials. For example: "Using Finite Element Method to Study the Thermal Buckling Characteristics of Composite Laminates" article uses finite element method to analyze the thermal buckling of composite laminates. But the finite element method has some deficiencies and defects when dealing with large deformation problems. The finite element method takes a discrete grid as the research object, which makes the approximate function of the finite e...

Claims

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Application Information

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IPC IPC(8): G06F17/50
CPCG06F30/17G06F30/20G06F2111/10G06F2119/06
Inventor 曾煌棚雷祖祥
Owner NANJING UNIV OF SCI & TECH
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