Double-elastic modulus method when material load-deformation curve initial straight line segment is short

A technology of load deformation and elastic modulus, applied in the direction of analyzing materials, measuring devices, strength characteristics, etc., can solve the problems of low practical value, large deviation of force and deformation from actual values, etc.

Inactive Publication Date: 2011-04-06
BEIJING UNION UNIVERSITY
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  • Abstract
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  • Claims
  • Application Information

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Problems solved by technology

The approximate modulus of elasticity provided in such books and standardized manuals improves the application range of Hooke's law, but artificially treats the curved area as a straight line area, which makes the calculated force and deformation deviate too much from the actual value, which is of practical value. very low

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  • Double-elastic modulus method when material load-deformation curve initial straight line segment is short
  • Double-elastic modulus method when material load-deformation curve initial straight line segment is short
  • Double-elastic modulus method when material load-deformation curve initial straight line segment is short

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Embodiment Construction

[0074] The present invention is a double elastic modulus method when the initial straight line section of a material load deformation curve is very short. The method includes the following steps:

[0075] (1) After determining the two ends of the initial straight line, the elastic modulus E and the proportional elongation force P p And proportional limit σ p After; for brittle materials, determine the breaking force P b , For the plastic material without yield stage, determine the non-proportional elongation force P p0.2 , Referred to as P 0.2 ;

[0076] (2) Find a point P on the curve C , For brittle materials, 0.5P b ≤P c ≤0.55P b , For plastic materials without yield stage, 0.5P 0.2 ≤P c ≤0.55P 0.2 ;

[0077] (3) Satisfying the conditional discriminant P P C The test curve is regarded as the initial straight line segment is very short, and a supplementary straight line needs to be drawn. The starting point of the supplementary straight line is the end point P p Point, the end point...

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Abstract

Disclosed is a double elastic modulus method under the condition of short initial tangential path of a load-deformation curve of a material. Data merging method and energy ratio method are used to determine the initial tangential path of a load-deformation curve and the elastic modulus E of the tangential path in the double elastic modulus method; after a graphic shifting method is used, a complementary line from point Pp which is the end point of the initial tangential path to Pc which is a point in a special interval above the point Pp is drawn when the value of point Pp is smaller than the value of point Pc, and the elastic modulus E1 of the complementary line is determined. As for a brittle material, the point Pc is chosen between 0.5 Pb and 0.55 Pb; as for a plastic material without a yield stage, the point Pc is chosen between 0.5 Pp0.2 and 0.55 Pp0.2. The double elastic modulus method leads out bilinear Hooke's law, and makes application range of Hooke's law and calculation accuracy greatly increased, thereby being of good value for engineering application.

Description

(1) Technical background: [0001] The invention relates to a double elastic modulus method when the initial straight line section of a material load deformation curve is short, referred to as the double elastic modulus method, which belongs to data processing in the field of material mechanical property testing, and draws a load deformation curve and determines the elastic modulus Material testing machine. (2) Background technology: [0002] The initial straight section of the load-deformation curve of some materials drawn by the material testing machine is very short, and these test curves are often referred to as the initial straight section without clear. Since linear Hooke's law can only be used for straight sections, the load-bearing capacity of the elastic interval above the straight sections of these materials is not fully utilized. In order to use Hooke's law to calculate the larger bearing capacity of these materials and expand the scope of application of Hooke's law, th...

Claims

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): G01N3/00G06F19/00
Inventor 黄帆程光杨鹤鸣
Owner BEIJING UNION UNIVERSITY
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