Dieless hydraulic quasi-static thin-plate bulging deformation limit strain and load graphic calculation method

A limit strain, quasi-static technology, applied in the direction of calculation, computer-aided design, special data processing application, etc., to achieve the effect of simple and clear calculation process, simple method and clear physical meaning

Active Publication Date: 2017-02-15
CHANGZHOU UNIV
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Problems solved by technology

[0020] The purpose of the present invention is to overcome the deficiencies in the existing thin plate bulging deformation limit strain and limit load acquisition method and to propose a corresponding solution

Method used

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  • Dieless hydraulic quasi-static thin-plate bulging deformation limit strain and load graphic calculation method
  • Dieless hydraulic quasi-static thin-plate bulging deformation limit strain and load graphic calculation method
  • Dieless hydraulic quasi-static thin-plate bulging deformation limit strain and load graphic calculation method

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Embodiment Construction

[0050] refer to figure 1 , the graphic calculation method of the moldless hydraulic quasi-static thin plate bulging deformation limit strain and load of the present embodiment includes the following steps:

[0051] S1: Take the dimensionless deflection as the abscissa 11, take the von Mises equivalent stress as the left ordinate 16, and get the von Mises equivalent as the right ordinate 4; the dimensionless deflection is the extreme top central deflection h and bearing pressure The ratio h / d of the zone diameter d ranges from greater than 0 to less than or equal to 0.5.

[0052] S2: Simultaneous formula (1) and formula (3),

[0053] ε e =αln[1+4(h / d) 2 ] (1)

[0054]

[0055] σ e =f(ε e ) (3)

[0056] In the formula, σ e , ε e and h are the von Mises equivalent stress, equivalent strain and deflection at the center of the pole top respectively, α and β are two key control parameters, f(ε e ) represents the functional relationship between the equivalent stress and ...

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Abstract

The invention relates to a dieless hydraulic quasi-static thin-plate bulging deformation limit strain and load graphic calculation method. The method comprises the steps of taking dimensionless deflection as horizontal coordinates, taking an equivalent stress and an equivalent strain as left and right longitudinal coordinates, and drawing a united curve based on geometric and physical relationships, a curve cluster based on a static balance relationship and a strain-dimensionless deflection curve based on a geometric relationship in sequence; finding deformation, stress, strain and the like corresponding to an action static pressure load through a curve intersection point; and through a curve tangent point which is a tension instability point, obtaining a limit load corresponding to a balance relationship curve first and then finding a limit strain in the right longitudinal coordinates in combination with the strain-dimensionless deflection curve. The method has the beneficial effects that (1) solving is stable; (2) the method is suitable for other constitutive model materials; (3) the method can be used for solving deformation, stress and strain in a loading process; (4) the calculation process is simple and clear and is definite in physical significance; and (5) the maximum deflection and the maximum stress value can be obtained.

Description

technical field [0001] The invention relates to a graph algorithm for obtaining the ultimate strain and ultimate load of the bulging deformation of a thin plate in a circular pressurized chamber under the quasi-static condition of the moldless hydraulic pressure. Background technique [0002] For power-hardened metal materials, Lankford et al. (Lankford W T, Saibel E. Some problems unstable plastic flow under biaxial tension [J]. Trans AIME, 1947, 171:562-573) derived uniaxial tension from plastic tensile instability conditions The ultimate strain when is (n is the strain hardening exponent) [0003] ε Lu =n [0004] This value is obviously smaller than the ultimate strain value during bulging deformation (two-way stretching). [0005] Hill (Hill R.A theory of the plastic bulging of a metal diaphragm by lateral pressure[J].Philosophy Magazine,1950,41:1133-1142) based on the assumption of spherical geometry and non-uniform thinning arc particle trajectory, through plastic ...

Claims

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Application Information

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IPC IPC(8): G06F17/50
CPCG06F30/20G06F2119/06
Inventor 高光藩庞明军巢建伟
Owner CHANGZHOU UNIV
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