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JZ integral of three-dimensional elastic-plastic bending crack tip under function of quasi-static loads

A bending crack and static load technology, applied in the research field of bending crack propagation path, can solve unstudied problems

Inactive Publication Date: 2018-11-13
ZHENGZHOU TECHN COLLEGE
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  • Abstract
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Problems solved by technology

[0002] At present, the research results on the propagation path of bending cracks are limited to two-dimensional linear elastic fracture and two-dimensional elastic-plastic fracture. Crack tip J Z The determination of the integral has not been studied so far

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  • JZ integral of three-dimensional elastic-plastic bending crack tip under function of quasi-static loads
  • JZ integral of three-dimensional elastic-plastic bending crack tip under function of quasi-static loads
  • JZ integral of three-dimensional elastic-plastic bending crack tip under function of quasi-static loads

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Embodiment Construction

[0066] The present invention will be described in further detail below in conjunction with the accompanying drawings and specific embodiments.

[0067] 3D curved crack tip J Z For the calculation and analysis of the integral, the following takes carbon steel as an example for analysis, and the Poisson's ratio of carbon steel is ν=0.25. Now the three-dimensional elastic-plastic bending crack tip J Z The numerical solution of the integral is plotted as Figure 1-Figure 15 Shown:

[0068] Figure 1-Figure 10 , 3D curved crack tip J Z The relationship between the integral and the formal parameter of the three-dimensional bending crack (σ s =1725MPa, E=2.15×10 11 Pa,a Z =50mm).

[0069] From Figure 1-Figure 10 It can be seen that under the same external load, the same length of the straight line part of the three-dimensional crack and the same shape parameter of the three-dimensional bending crack correspond to the tip J of the three-dimensional bending crack Z The integ...

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Abstract

The invention discloses a JZ integral of a three-dimensional elastic-plastic bending crack tip under function of quasi-static loads. A relation of the JZ integral of the three-dimensional elastic-plastic bending crack tip is shown in the description; under the function of same external load, the JZ integral of the three-dimensional bending crack tip corresponding to the same length of the straightline part of the three-dimensional crack and the same shape parameters of the three-dimensional bending crack is reduced along with the continuous increase of the thickness of a three-dimensional crack body; when the thickness of the three-dimensional crack body is the same, the JZ integral of the three-dimensional bending crack tip is increased along with the continuous increase of the externalload; the larger the thickness of the three-dimensional crack body is, the slower the increasing speed of the JZ integral of the three-dimensional bending crack tip along with the continuous increaseof the external load is under the conditions of the same length of the straight line part of the crack and the same bending degree. The JZ integral has the advantage that the size of the JZ integral of the three-dimensional bending crack tip under the function of quasi-static loads is calculated by a second-order perturbation method, so as to more precisely apply to the engineering practices.

Description

technical field [0001] The invention relates to a research on the propagation path of a bending crack, specifically a J Z integral. Background technique [0002] At present, the research results on the propagation path of bending cracks are limited to two-dimensional linear elastic fracture and two-dimensional elastic-plastic fracture. Crack tip J Z The problem of determining the integral has not been studied so far. In engineering practice, the thickness of the crack body material is usually not negligible, and it is often relatively large. Therefore, it is very necessary to study the fracture characteristics of elastic-plastic bending cracks in three-dimensional cracked bodies. The present invention will use the second-order perturbation method to calculate the bending crack tip J of the three-dimensional crack body under the quasi-static load. Z Integral size, so as to more accurately serve the actual engineering. Contents of the invention [0003] Research purpos...

Claims

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Application Information

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IPC IPC(8): G01N3/08G01N3/24G06F17/50
CPCG01N3/08G01N3/24G01N2203/0003G01N2203/0019G01N2203/0025G01N2203/0026G01N2203/0066G06F30/20G06F2119/06
Inventor 杨大鹏潘海洋王均杰张平萍杨新华
Owner ZHENGZHOU TECHN COLLEGE
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