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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 analysis of materials, measuring devices, strength characteristics, etc., can solve the problems of large deviation of force and deformation from actual value and low practical value.

Inactive Publication Date: 2008-11-12
BEIJING UNION UNIVERSITY
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  • Claims
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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] A kind of double elastic modulus method of the present invention when the initial straight section of material load-deformation curve is very short, this method comprises the following steps:

[0075] (1) After determining the two ends of the initial straight line segment, the elastic modulus E, and the proportional elongation force P p and the scale limit σ p After that; for brittle materials, determine the breaking force P b , for a plastic material in the non-yielding stage, the non-proportional elongation force P is determined 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 a plastic material with no yield stage, 0.5P 0.2 ≤P c ≤0.55P 0.2 ;

[0077] (3) Satisfy the condition discriminant P P C The test curve of the initial straight line is considered to be very short, and a supplementary straight line needs to be drawn. The starting point of the supplementary straight line is the...

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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 segment of the material load deformation curve is very short, referred to as the double elastic modulus method, which belongs to the data processing in the field of material mechanical performance testing, and draws the load deformation curve and determines the elastic modulus material testing machine. (two) background technology: [0002] The initial straight line 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 having no clear initial straight line section. Since the linear Hooke's law can only be applied to the straight section, the load-carrying capacity of the elastic region above the straight section 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 a...

Claims

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Application Information

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IPC IPC(8): G01N3/00G06F19/00
Inventor 黄帆程光杨鹤鸣
Owner BEIJING UNION UNIVERSITY
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