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Functionally graded material plate elastic modulus measuring method

A technology of functionally graded materials and elastic modulus, which can be used in measurement devices, analytical materials, strength properties, etc., and can solve the problems of difficult measurement and poor measurement accuracy.

Inactive Publication Date: 2013-08-07
SHANGHAI MARITIME UNIVERSITY
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  • Abstract
  • Description
  • Claims
  • Application Information

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Problems solved by technology

For functionally graded materials, the elastic modulus is a function of spatial coordinates, a series of changing values, and it is relatively difficult to measure
In the existing research on the mechanical properties of functionally graded materials, scholars at home and abroad usually assume that the elastic modulus of functionally graded materials is some specific function, such as an exponential function, because the elastic modulus of functionally graded materials is assumed to be some specific function The method does not measure its elastic modulus by mechanical methods, so the measurement accuracy is poor

Method used

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  • Functionally graded material plate elastic modulus measuring method

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Experimental program
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Embodiment 1

[0128] Embodiment one, such as Figure 4 It is divided into 80 triangular units, and the method provided by the present invention is used for simulation verification. As a result, the error at node 45 is the largest, with an absolute error of 2.95Gpa and a relative error of 0.8721%, which is mainly caused by cumulative errors;

Embodiment 2

[0129] Embodiment 2, a circular hole with a diameter of 0.1 m is opened in the middle of the board, the board is divided into 84 triangular units, and the method provided by the invention is used for simulation verification. As a result, the largest error occurs at the edge of the hole, the absolute error is 5.03Gpa, and the relative error is 1.579%, which mainly belongs to the error caused by the change of geometric shape;

Embodiment 3

[0130] Embodiment three, in the middle of the board, open an elliptical hole with an axis length of 0.2m along the length direction of the board and a 0.1m length along the transverse axis, divide the board into 76 triangular units, and use the method provided by the present invention to carry out simulation verification . As a result, the largest error occurs at the long axis of the elliptical hole, the absolute error is 4.68Gpa, and the relative error is 1.4839%, which mainly belongs to the error caused by the change of geometric shape;

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Abstract

The invention discloses a functionally graded material plate elastic modulus measuring method. First, through physical space conservation law, elastic mechanical strain energy density formula, and material coefficient relations, a calculation formula of material coefficient and Poisson ratio is set, and is introduced into a elastic modulus calculation formula; a functionally graded material plate requiring measuring is divided into a plurality of triangular units; one end of an initial node is held and fixed, and horizontal tension is applied to the other end; displacement of the nodes after deformation are measured; elastic modulus and Poisson ratios of two nodes with known elastic modulus, and displacements of various nodes are introduced into the preset calculation formula, such that unknown elastic modulus on the triangular unit nodes are solved; and the steps are repeated, until elastic modulus of all triangular unit nodes are calculated. With the method provided by the invention, for a functionally graded material plate with two-dimensionally distributed elastic modulus, elastic modulus can be calculated through measuring plate displacement under stresses state. The plate to be measured is not damaged, and functionally graded material plate elastic modulus can be conveniently and relatively precisely calculated.

Description

technical field [0001] The invention relates to a method for measuring the elastic modulus of a mesoscopic composite material, in particular to a method for measuring the elastic modulus of a functionally graded material plate. Background technique [0002] Functionally graded material is a new type of material that makes the elements (components) of the material change continuously from one side to the other through the mesoscopic composite technology of the material, so that the properties and functions of the material are gradually changed. [0003] For homogeneous materials, the elastic modulus is a constant and easy to measure. For functionally graded materials, the elastic modulus is a function of space coordinates, which is a series of changing values, and it is relatively difficult to measure. In the existing research on the mechanical properties of functionally graded materials, scholars at home and abroad usually assume that the elastic modulus of functionally gra...

Claims

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Application Information

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IPC IPC(8): G01N3/00
Inventor 施伟辰王兆辰
Owner SHANGHAI MARITIME UNIVERSITY