CN113029786A - Ceramic fiber strength distribution rapid measurement method - Google Patents

Ceramic fiber strength distribution rapid measurement method Download PDF

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CN113029786A
CN113029786A CN202110281411.2A CN202110281411A CN113029786A CN 113029786 A CN113029786 A CN 113029786A CN 202110281411 A CN202110281411 A CN 202110281411A CN 113029786 A CN113029786 A CN 113029786A
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fiber
fiber bundle
stress
strength distribution
curve
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张盛
张世榕
高希光
宋迎东
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Nanjing University of Aeronautics and Astronautics
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Nanjing University of Aeronautics and Astronautics
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    • G01—MEASURING; TESTING
    • G01N—INVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
    • G01N3/00—Investigating strength properties of solid materials by application of mechanical stress
    • G01N3/08—Investigating strength properties of solid materials by application of mechanical stress by applying steady tensile or compressive forces

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Abstract

The invention discloses a ceramic fiber strength distribution rapid measurement method, which is characterized by comprising the following steps: the method comprises the following steps: step 1: carrying out a tensile test on a ceramic fiber bundle consisting of single or a plurality of fiber monofilaments to obtain a stress-strain curve of the ceramic fiber bundle; step 2: according to the fiber bundle stress-strain curve obtained in the step 1, obtaining the stress corresponding to the highest point of the curve
Figure DDA0002978878240000011
And strain
Figure DDA0002978878240000012
Obtaining the modulus of elasticity E of the fiberfWherein, in the step (A),
Figure DDA0002978878240000013
and step 3: calculating Weibull distribution parameter m according to the coordinate of the highest point of the curve and the elastic modulus of the fiber; and 4, step 4: by
Figure DDA0002978878240000014
EfAnd m calculating Weibull distribution parameter sigma0(ii) a And 5: will sigma0And m is substituted into a Weibull distribution model to obtain the fracture probability of the fiber bundle under different stresses, so that the fiber strength distribution of the fiber bundle is obtained. The method has the advantages of simplicity, practicability, less time consumption and convenience and applicability in a high-temperature environment.

Description

Ceramic fiber strength distribution rapid measurement method
Technical Field
The invention belongs to the technical field of composite material performance detection, and particularly relates to a method for rapidly measuring the strength distribution of ceramic fibers.
Background
The fiber toughened ceramic matrix composite is a novel high-temperature structural material of a hot end part of an aeroengine, has the characteristics of high specific strength, high specific stiffness, high temperature resistance, low density and the like, and can effectively realize weight reduction of the hot end part. The fiber is used as the main load-bearing component of the material, the strength distribution of the fiber has a decisive effect on the overall strength and the stress-strain response of the ceramic matrix composite material, but the prepared fiber always has the defect of random distribution, so that the strength of the single fiber in a bundle of fibers has certain dispersity. Therefore, obtaining the strength distribution of the fibers is the key to the mesoscopic analysis of the ceramic matrix composite material and is the basis for the structural design of the ceramic matrix composite material.
In the prior art, the principle commonly adopted by scholars for measuring the fiber strength distribution is the influence factor of a monofilament tensile test method [ yao jiangwei, zhangdong carbon fiber monofilament tensile test. Material science and engineering journal, 2005 (06): 810 and 813. The method filters out the fiber monofilaments in the fiber bundles to prepare a sample for strength test, the test process is very complicated, a large number of monofilaments are needed as base numbers, the efficiency is low, and the high-temperature fiber strength distribution is difficult to measure because a high-temperature monofilament test does not have a corresponding test device.
In view of the foregoing, there is a need for a method for measuring fiber strength distribution efficiently and quickly.
Disclosure of Invention
The invention aims to solve the problems mentioned in the background technology and provide a method for quickly measuring the strength distribution of ceramic fibers.
In order to achieve the technical purpose, the technical scheme adopted by the invention is as follows:
a ceramic fiber strength distribution rapid measurement method is characterized in that: the method comprises the following steps:
step 1: carrying out a tensile test on a ceramic fiber bundle consisting of single or a plurality of fiber monofilaments to obtain a stress-strain curve of the ceramic fiber bundle;
step 2: according to the fiber bundle stress-strain curve obtained in the step 1, obtaining the stress corresponding to the highest point of the curve
Figure BDA0002978878220000011
And strain
Figure BDA0002978878220000012
Obtaining the modulus of elasticity E of the fiberfWherein, in the step (A),
Figure BDA0002978878220000013
and step 3: calculating Weibull distribution parameter m according to the coordinate of the highest point of the curve and the elastic modulus of the fiber;
and 4, step 4: by
Figure BDA0002978878220000021
EfAnd m calculating Weibull distribution parameter sigma0；
And 5: will sigma0And m is substituted into a Weibull distribution model to obtain the fracture probability of the fiber bundle under different stresses, so that the fiber strength distribution of the fiber bundle is obtained.
In order to optimize the technical scheme, the specific measures adopted further comprise:
in step 2, the slope of the initial linear segment of the stress-strain curve of the fiber bundle is recorded as the elastic modulus E of the fiberf。
In step 3, the specific formula for calculating the Weibull distribution parameter m is as follows:
Figure BDA0002978878220000022
in step 4, Weibull distribution parameter sigma is calculated0The concrete formula of (1) is as follows:
Figure BDA0002978878220000023
in the formula, LfIs the length of the fibre, L0Is a reference length, 1 meter.
In step 5, the probability of fiber breakage under different stresses is:
Figure BDA0002978878220000024
the invention has the beneficial effects that: the method is based on a Weibull distribution model, and the distribution of the fiber strength can be quickly obtained on the basis of obtaining a stress-strain curve of a fiber bundle by only carrying out a unidirectional tensile test on the fiber bundle. The method is simple and easy to implement, does not need to filter out the fiber monofilaments in the fiber bundle, has less time consumption compared with the method of carrying out the tensile test on a plurality of fiber monofilaments, and is still convenient and applicable in a high-temperature environment.
Drawings
FIG. 1 is a unidirectional tensile stress-strain curve for a fiber bundle;
FIG. 2 is a graph comparing the stress-strain response of SiC fiber bundles simulated using the fiber strength distribution measured by the method of this patent with experimental results.
Detailed Description
Embodiments of the present invention are described in further detail below with reference to the accompanying drawings.
Taking SiC fiber as an example, the implementation process of the ceramic fiber strength distribution measuring method is as follows:
step 1: a fiber bundle was subjected to a tensile test to obtain a stress-strain curve as shown by a broken line in fig. 2.
Step 2: according to the fiber bundle stress-strain curve, obtaining the stress corresponding to the highest point of the curve
Figure BDA0002978878220000031
And strain
Figure BDA0002978878220000032
Obtaining the fiberModulus of elasticity of dimension Ef＝190.17GPa。
The slope of the initial linear segment of the stress-strain curve of the fiber bundle is recorded as the elastic modulus E of the fiberfAs shown in fig. 1.
And step 3: from the coordinates of the highest point of the curve and the modulus of elasticity of the fiber, the Weibull distribution parameter m is calculated.
The specific formula for calculating m is as follows:
Figure BDA0002978878220000033
and 4, step 4: by
Figure BDA0002978878220000034
EfAnd m calculating Weibull distribution parameter sigma0。
Calculating sigma0The concrete formula of (1) is as follows:
Figure BDA0002978878220000035
in the formula, LfIs the length of the fibre, L0Is a reference length, 1 meter.
And 5: will sigma0And m is substituted into a Weibull distribution model to obtain the fracture probability of the fiber under different stresses, thereby obtaining the fiber strength distribution.
The probability of fiber breakage under different stresses is:
Figure BDA0002978878220000036
three broken lines and three scattered points in fig. 2 respectively show experimental results at normal temperature, 500 ℃ and 1000 ℃ and a stress-strain response curve of the SiC fiber bundle simulated by the fiber strength distribution measured by the method proposed in the present patent. The embodiment of the present invention at normal temperature is shown and described above, and the principle of the analysis method at 500 ℃ and 1000 ℃ is the same, and the description thereof is omitted. The comparison of the figures shows that the method has good accuracy.
The above is only a preferred embodiment of the present invention, and the protection scope of the present invention is not limited to the above-mentioned embodiments, and all technical solutions belonging to the idea of the present invention belong to the protection scope of the present invention. It should be noted that modifications and embellishments within the scope of the invention may be made by those skilled in the art without departing from the principle of the invention.

Claims (5)

1. A ceramic fiber strength distribution rapid measurement method is characterized in that: the method comprises the following steps:
step 1: carrying out a tensile test on a ceramic fiber bundle consisting of single or a plurality of fiber monofilaments to obtain a stress-strain curve of the ceramic fiber bundle;
step 2: according to the fiber bundle stress-strain curve obtained in the step 1, obtaining the stress corresponding to the highest point of the curve
Figure FDA0002978878210000011
And strain
Figure FDA0002978878210000012
Obtaining the modulus of elasticity E of the fiberfWherein, in the step (A),
Figure FDA0002978878210000013
and step 3: calculating Weibull distribution parameter m according to the coordinate of the highest point of the curve and the elastic modulus of the fiber;
and 4, step 4: by
Figure FDA0002978878210000014
EfAnd m calculating Weibull distribution parameter sigma0；
And 5: will sigma0And m is substituted into a Weibull distribution model to obtain the fracture probability of the fiber bundle under different stresses, so that the fiber strength distribution of the fiber bundle is obtained.
2. According toThe method for rapidly measuring the strength distribution of the ceramic fibers as recited in claim 1, wherein: in step 2, the slope of the initial linear segment of the stress-strain curve of the fiber bundle is recorded as the elastic modulus E of the fiberf。
3. The method for rapidly measuring the strength distribution of the ceramic fibers as claimed in claim 1, wherein: in step 3, the specific formula for calculating the Weibull distribution parameter m is as follows:
Figure FDA0002978878210000015
4. the method for rapidly measuring the strength distribution of the ceramic fibers as claimed in claim 1, wherein: in step 4, Weibull distribution parameter sigma is calculated0The concrete formula of (1) is as follows:
Figure FDA0002978878210000016
in the formula, LfIs the length of the fibre, L0Is a reference length, 1 meter.
5. The method for rapidly measuring the strength distribution of the ceramic fibers as claimed in claim 1, wherein: in step 5, the probability of fiber breakage under different stresses is:
Figure FDA0002978878210000017
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Citations (4)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN102494940A (en) * 2011-12-13 2012-06-13 华东理工大学 Calibration method for brittle fracture evaluation parameters of materials based on Beremin model
CN106829916A (en) * 2017-03-16 2017-06-13 西北工业大学 A kind of preparation method of pure pyrolytic carbon tensile property test sample
CN108918263A (en) * 2018-05-16 2018-11-30 南京航空航天大学 A kind of fibre bundle characteristic strength and Weibull modulus measurements device and method
CN110672410A (en) * 2019-08-30 2020-01-10 南京航空航天大学 Method for simulating fiber fracture position in composite material

Patent Citations (4)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN102494940A (en) * 2011-12-13 2012-06-13 华东理工大学 Calibration method for brittle fracture evaluation parameters of materials based on Beremin model
CN106829916A (en) * 2017-03-16 2017-06-13 西北工业大学 A kind of preparation method of pure pyrolytic carbon tensile property test sample
CN108918263A (en) * 2018-05-16 2018-11-30 南京航空航天大学 A kind of fibre bundle characteristic strength and Weibull modulus measurements device and method
CN110672410A (en) * 2019-08-30 2020-01-10 南京航空航天大学 Method for simulating fiber fracture position in composite material

Non-Patent Citations (5)

* Cited by examiner, † Cited by third party
Title
GUO, M等: "Tensile strength analysis of palm leaf sheath fiber with Weibull distribution", 《COMPOSITES PART A-APPLIED SCIENCE AND MANUFACTURING》 *
WANG, F等: "Modified Weibull Distribution for Analyzing the Tensile Strength of Bamboo Fibers", 《POLYMERS》 *
李正旺等: "碳纤维复合材料强度的复合Weibull分布模型", 《材料工程》 *
王明超: "玄武岩纤维丝束强度的Weibull和Gauss分布统计分析", 《复合材料学报》 *
白金增: "碳纤维绳强度的理论分析及试验研究", 《中国优秀博硕士学位论文全文数据库（硕士）工程科技Ⅱ辑》 *

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