CN109991077A - A kind of prediction technique of composite material Mixed-Mode Delamination resistance curve - Google Patents
A kind of prediction technique of composite material Mixed-Mode Delamination resistance curve Download PDFInfo
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- G01N3/00—Investigating strength properties of solid materials by application of mechanical stress
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Abstract
The present invention relates to a kind of prediction techniques of composite material Mixed-Mode Delamination resistance curve, comprising the following steps: (1) manufactures and designs carbon-fiber-reinforcomposite composite material layer plate sample；(2) I type, II type and the test of I/II Mixed-Mode Delamination are carried out using double cantilever beam, end notches bending and hybrid mode bending apparatus respectively；(3) sample I type, II type and I/II Mixed-Mode Delamination resistance curve are determined；(4) data are fitted using separation resistance curve theory formula, determine fracture toughness initial value, stationary value and the fiber bridge joint length of different layering tests；(5) fracture toughness initial value under different mixing ratios and stationary value are fitted respectively using B-K criterion, obtain guide coefficient ηinitAnd ηprop；(6) a Mixed-Mode Delamination resistance curve predictor formula to load mixing ratio as independent variable is established.The present invention predicts the separation resistance curve of other any mixing ratios, is convenient for engineer application, and can reduce experimentation cost by the delamination fractures toughness test to carbon-fiber-reinforcomposite composite material layer plate specific blend ratio.
Description
Technical field
The present invention relates to the technical fields of fibre reinforced composites Mixed-Mode Delamination resistance curve prediction, and in particular to one
The prediction technique of the kind any mixing ratio lower leaf Fracture Toughness of carbon-fiber-reinforcomposite composite material layer plate.
Background technique
Carbon fibre reinforced composite is widely used in the fields such as aerospace reality due to high specific strength and specific stiffness
Existing structural weight reduction and raising fuel efficiency.Veneer structure is engineering more common configuration in practice, since performance is far low outside face
In performance in face, easily generation delamination damage.Under the appearance and extension of delamination damage will cause structural strength and rigidity significant
Drop, or even cause the catastrophic failure for having no omen, these all seriously constrain the application of composite material in practical projects.
Composite structure will realize damage tolerance design, it is necessary to obtain accurate composite material interlaminar fracture toughness data for point
The prediction of layer propagation behavior and structural strength.
I/II Mixed-Mode Delamination is the common delamination damage form of practical structures.During delamination, a rear is split
Fiber bridge joint phenomenon to occur, the fiber of bridge joint bears load and reduces the local stress for splitting point.This toughening mechanism causes point
Fault rupture toughness increases with the increase of layering length, i.e. separation resistance curve.Three key parameters of separation resistance curve are
Fracture toughness initial value, fracture toughness stationary value and fiber bridge joint length.It goes in order to which exact representation I/II Mixed-Mode Delamination extends
To need to obtain separation resistance curve.
Existing a large number of experiments is research shows that load mixing ratio influences significantly On Fracture Toughness of Laminated Composites.Layering can
It can occur under any mixing ratio, the fracture of composite materials toughness under all mixing ratios of measuring will expend biggish experiment
Resource, it is also not possible to pass through the exhaustive all situations being likely to occur of laboratory facilities.By measuring limited, particular load mixing
Delamination fractures toughness than under, it is ideal for establishing and the theoretical model of interlaminar fracture toughness under other load mixing ratios can be predicted
Selection.Therefore, it is necessary to establish the Mixed-Mode Delamination resistance curve prediction model for being convenient for engineer application.
Summary of the invention
The technical problem to be solved in the present invention are as follows: a kind of side for predicting composite material Mixed-Mode Delamination resistance curve is provided
Method.What is proposed is public as the theory of the carbon-fiber-reinforcomposite composite material layer plate Mixed-Mode Delamination resistance curve of independent variable using mixing ratio
Formula, using carbon-fiber-reinforcomposite composite material layer plate I type, the interlaminar fracture toughness test result of II type and finite mixtures than under,
It predicts the carbon-fiber-reinforcomposite composite material layer plate separation resistance curve under any mixing ratio, therefore can significantly shorten test week
Phase reduces experimentation cost.
The present invention solves the technical solution that above-mentioned technical problem uses are as follows: a kind of composite material Mixed-Mode Delamination resistance curve
Prediction technique, comprising the following steps:
Step 1, manufacture and design the carbon-fiber-reinforcomposite composite material layer plate sample with+22.5 °/- 22.5 ° layering interfaces；
Step 2, to said sample, distinguished using double cantilever beam, end notches bending and hybrid mode bend test device
Carry out I type, II type and the test of I/II Mixed-Mode Delamination, wherein the load mixing ratio of Mixed-Mode Delamination test is 0.25,0.5 and
0.75；
Step 3, load, displacement and layering length are obtained by experiment, determines the I type, II type and I/II mixed type of sample
Separation resistance curve；
Step 4, data are fitted using separation resistance curve theory formula, determine that the fracture of different layering tests is tough
Property initial value, stationary value and fiber bridge joint length；
Step 5, broken using B-K delamination criterion to (0.25,0.5 and 0.75) under I type, II type and different mixing ratios
It splits toughness initial value to be fitted, obtains guide coefficient ηinit；
Step 6, broken using B-K delamination criterion to (0.25,0.5 and 0.75) under I type, II type and different mixing ratios
It splits toughness stationary value to be fitted, obtains guide coefficient ηprop；
Step 7, with ηinitAnd ηprop, I type delamination fractures toughness initial value and stationary value, the starting of II type delamination fractures toughness
Value and stationary value are basic parameter, establish one to load mixing ratio as the prediction of the Mixed-Mode Delamination resistance curve of independent variable
Formula predicts any load mixing ratio lower plywood separation resistance curve.
Further, carbon-fiber-reinforcomposite composite material layer plate is made of the one-way tape prepreg using T800/X850.
Further, step 1 design, the fibre reinforced with predetermined+22.5 °/- 22.5 ° layering interfaces of manufacture are multiple
Condensation material laminate sample has following ply stacking-sequence: (+22.5 °/- 22.5 °)6//(+22.5°/-22.5°)6。
Further, step 3 calculates I type delamination fractures toughness G using the method based on amendment beam theoryIC, specific to calculate
Formula are as follows:
Wherein, PIAnd dIIt is the load and displacement applied to sample respectively, a and b are the layering length and width of sample respectively
Degree, Δ be layered length correction amount, for consider sample split sharp position due to material anisotropy it is additional displacement and
Rotation.
The step 3 determines II mode Ⅱ fracture toughness G using flexibility methodIICFormula are as follows:
Wherein, PIIIt is critical load, C is sample flexibility；
The step 3 determines I/II mixed type interlayer faults toughness G according to amendment beam theoryI/IICFormula are as follows:
GI/IIC=GI+GII
Wherein, PI/IIIt is the load applied to sample, c is that load applies distance of the point to intermediate load roller bearing, PgIt is fixture
Middle upper beam and the weight for being attached to wherein loading blocks, cgFor distance of the center of gravity to intermediate load roller bearing of fixture, EfIt is that sample is curved
Bent modulus, h are sample thickness, L be fixed span away from.
Further, the used separation resistance curve theory formula being fitted to data of step 4 is as follows:
Wherein, lbzIt is respectively fiber bridge joint length and delamination length, G with Δ ainitAnd GpropRespectively delamination fractures
Toughness initial value and stationary value.<>is a kind of special algorithm:
Further, in the step 5 and 6 by under I type, II type and different mixing ratio fracture toughness initial value or
Person's stationary value carries out least square fitting and obtains the parameter η value in criterion, used B-K delamination criterion are as follows:
Further, with ηinitAnd ηprop, fiber bridge joint length, I type delamination fractures toughness initial value and stationary value, II type
Delamination fractures toughness initial value and stationary value are basic parameter, and one is hindered using loading mixing ratio as the Mixed-Mode Delamination of independent variable
The predictor formula of force curve has following form:
Wherein,WithIt is I type and II type delamination fractures toughness initial value respectively,WithBe respectively I type and
II type delamination fractures toughness stationary value, ηinitAnd ηpropIt is the B- of different layering type fracture toughness initial values and stationary value respectively
K criterion fitting parameter.
The advantages of the present invention over the prior art are that:
(1) of the invention for the existing unpredictable any mixing ratio lower leaf of carbon-fiber-reinforcomposite composite material layer plate of research
The problem of resistance curve, proposes the prediction technique for being convenient for engineer application.
(2) present invention can predict any mixing by the experimental test to finite mixtures than lower plywood delamination fractures toughness
Than lower carbon-fiber-reinforcomposite composite material layer plate separation resistance curve, therefore the workload of experimental test can be substantially reduced, reduce test
Cost.
(3) prediction result of the invention has been subjected to verification experimental verification, and predicted value and test measured value have preferable consistency, table
Bright prediction technique of the present invention has preferable applicability.
Detailed description of the invention
Fig. 1 is implementation flow chart of the invention；
Fig. 2 is the configuration and geometric dimension (unit: mm) for being layered sample；
Fig. 3 is the schematic diagram of DCB, ENF and MMB experimental rig；
Fig. 4 is I type, II type and I/II Mixed-Mode Delamination fracture toughness test data；
Fig. 5 is the fitting result that interlaminar fracture toughness initial value uses B-K criterion under different mixing ratios；
Fig. 6 is the fitting result that interlaminar fracture toughness stationary value uses B-K criterion under different mixing ratios；
Fig. 7 is Mixed-Mode Delamination resistance curve test value and predicted value comparison.
Specific embodiment
Below with reference to embodiment, invention is further described in detail.
A kind of prediction technique of composite material Mixed-Mode Delamination resistance curve of the present invention, the specific implementation steps are as follows:
Step 1: being designed according to ASTM standard D5528-13 and manufacture the sample with+22.5 °/- 22.5 ° layering interfaces.
Sample ply stacking-sequence is respectively (+22.5 °/- 22.5 °)6//(+22.5°/-22.5°)6.DCB, ENF and MMB experiment are using identical
The sample of configuration and geometric dimension.Sample configuration and geometric dimension are as shown in Figure 2.Carbon-fiber-reinforcomposite composite material layer plate uses
The one-way tape prepreg of T800 carbon fiber/epoxy resin solidifies to obtain according to specified ply stacking-sequence heap poststack.
Step 2: respectively referring to ASTM standard D5528-13, D7905/D7905M-14 and D6671/D6671M-13e1, open
I type, II type and the test of I/II mixed type static(al) delamination are opened up, Fig. 3 is experimental rig schematic diagram.Wherein, I/II mixed type is quiet
The test mixing ratio of force stratification expanding test is 0.25,0.5 and 0.75, real by adjusting distance c of the load(ing) point away from sample middle section
The mixing ratio investigated needed for existing.Loading mode is Bit andits control, chooses lower loading speed (0.1mm/min) and guarantees layering
The slow stabilization of extension, obtains enough data points.Record applied load, displacement and layering in real time during test
Extension length.
Step 3: I type delamination fractures toughness G is calculated using the method based on amendment beam theoryIC, specific formula for calculation are as follows:
Wherein, PIAnd dIIt is the load and displacement applied to sample respectively, a and b are the layering length and width of sample respectively
Degree.Δ is the correction amount for being layered length, specific to determine that method is the sample flexibility calculated under different layering length, to what is measured
C1/3~a data carry out linear fit, fitting a straight line on transverse axis intercept absolute value be layered length correction amount.
The step 3 determines II mode Ⅱ fracture toughness G using flexibility methodIICFormula are as follows:
Wherein, PIIIt is critical load, C is sample flexibility；It is soft by calculating a series of corresponding sample of different layering length a
C is spent, linear fit is then carried out and obtainsG is calculated further according to II mode Ⅱ fracture toughness expression formulaIIC。
The step 3 determines I/II mixed type interlayer faults toughness G according to amendment beam theoryI/IICFormula are as follows:
GI/IIC=GI+GII
Wherein, PI/IIIt is the load applied to sample, c is that load applies distance of the point to intermediate load roller bearing, PgIt is fixture
Middle upper beam and the weight for being attached to wherein loading blocks, cgFor distance of the center of gravity to intermediate load roller bearing of fixture, EfIt is that sample is curved
Bent modulus, h are sample thickness, and L is fixed span away from as shown in Fig. 3.
According to I/II Mixed-Mode Delamination test data, interlaminar fracture toughness I type component G is calculated separatelyIWith II component GII, two
Person is added to obtain GI/IIC。
Step 4:I type, II type and I/II Mixed-Mode Delamination fracture toughness test data are as shown in figure 4, using following formula
Data are fitted.
Wherein, lbzIt is respectively fiber bridge joint length and delamination length, G with Δ ainitAnd GpropRespectively delamination fractures
Toughness initial value and stationary value.<>is a kind of special algorithm:By curve matching, obtain not
With mixing ratio lower leaf fracture toughness initial value, stationary value and fiber bridge joint length.The results are shown in Table 1.
1 I type of table, II type and I/II Mixed-Mode Delamination fracture toughness initial value, stationary value and fiber bridge joint length
Step 5 and 6: by the fracture toughness initial value in table 1 and stablize Value Data and bring B-K delamination criterion into respectively
In, the least square fitting of data is carried out, determines the parameter η in B-K delamination criterioninitAnd ηpropValue, fitting result point
Not as it can be seen in figures 5 and 6, obtaining ηinit=1.61 and ηprop=2.05.
Step 7: with the η obtained in abovementioned stepsinitAnd ηprop, fiber bridge joint length, I type delamination fractures toughness initial value
It is basic parameter with stationary value, II type delamination fractures toughness initial value and stationary value, using one shown in following formula to load mixing
ThanLayering for the predictor formula of the Mixed-Mode Delamination resistance curve of independent variable, under being 0.25,0.5 and 0.75 to mixing ratio
Resistance curve is predicted that prediction result is as shown in Figure 6.
It can be seen that prediction result and test result are coincide preferably.Demonstrate a kind of composite material mixed type proposed by the present invention point
The applicability of the prediction technique of layer resistance curve.
Part of that present invention that are not described in detail belong to the well-known technology of those skilled in the art.
The above, part specific embodiment only of the present invention, but scope of protection of the present invention is not limited thereto, appoints
In the technical scope disclosed by the present invention, any changes or substitutions that can be easily thought of, should all cover by what those skilled in the art
Within protection scope of the present invention.
Claims (7)
1. a kind of prediction technique of composite material Mixed-Mode Delamination resistance curve, it is characterised in that the following steps are included:
Step 1, manufacture and design the carbon-fiber-reinforcomposite composite material layer plate sample with+22.5 °/- 22.5 ° layering interfaces；
Step 2, to said sample, I is carried out using double cantilever beam, end notches bending and hybrid mode bend test device respectively
Type, II type and the test of I/II Mixed-Mode Delamination, wherein the load mixing ratio of Mixed-Mode Delamination test is 0.25,0.5 and 0.75；
Step 3, load, displacement and layering length are obtained by experiment, determines the I type, II type and I/II Mixed-Mode Delamination of sample
Resistance curve；
Step 4, data are fitted using separation resistance curve theory formula, determine that the fracture toughness of different layering tests rises
Initial value, stationary value and fiber bridge joint length；
Step 5, tough using fracture of the B-K delamination criterion to (0.25,0.5 and 0.75) under I type, II type and different mixing ratios
Property initial value be fitted, obtain guide coefficient ηinit；
Step 6, tough using fracture of the B-K delamination criterion to (0.25,0.5 and 0.75) under I type, II type and different mixing ratios
Property stationary value be fitted, obtain guide coefficient ηprop；
Step 7, with ηinitAnd ηprop, I type delamination fractures toughness initial value and stationary value, II type delamination fractures toughness initial value and
Stationary value is basic parameter, establishes one to load mixing ratio as the predictor formula of the Mixed-Mode Delamination resistance curve of independent variable,
Any load mixing ratio lower plywood separation resistance curve is predicted.
2. a kind of prediction technique of composite material Mixed-Mode Delamination resistance curve according to claim 1, it is characterised in that:
Carbon-fiber-reinforcomposite composite material layer plate is made of the one-way tape prepreg using T800/X850.
3. a kind of prediction technique of composite material Mixed-Mode Delamination resistance curve according to claim 1, it is characterised in that:
Step 1 design, the carbon-fiber-reinforcomposite composite material layer plate sample with predetermined+22.5 °/- 22.5 ° layering interfaces manufactured have
Following ply stacking-sequence: (+22.5 °/- 22.5 °)6//(+22.5°/-22.5°)6。
4. a kind of prediction technique of composite material Mixed-Mode Delamination resistance curve according to claim 1, it is characterised in that:
Step 3 calculates I type delamination fractures toughness G using the method based on amendment beam theoryIC, specific formula for calculation are as follows:
Wherein, PIAnd dIIt is the load and displacement applied to sample respectively, a and b are the layering length and width of sample, Δ respectively
It is the correction amount for being layered length, for considering that sample is splitting sharp position additional displacement and rotation due to material anisotropy.
The step 3 determines II mode Ⅱ fracture toughness G using flexibility methodIICFormula are as follows:
Wherein, PIIIt is critical load, C is sample flexibility；
The step 3 determines I/II mixed type interlayer faults toughness G according to amendment beam theoryI/IICFormula are as follows:
GI/IIC=GI+GII
Wherein, PI/IIIt is the load applied to sample, c is that load applies distance of the point to intermediate load roller bearing, PgBe in fixture on
Crossbeam and the weight for being attached to wherein loading blocks, cgFor distance of the center of gravity to intermediate load roller bearing of fixture, EfIt is sample bending die
Amount, h are sample thickness, L be fixed span away from.
5. a kind of prediction technique of composite material Mixed-Mode Delamination resistance curve according to claim 1, it is characterised in that:
The used separation resistance curve theory formula being fitted to test data of step 4 is as follows:
Wherein, lbzIt is respectively fiber bridge joint length and delamination length, G with Δ ainitAnd GpropRespectively delamination fractures toughness
Initial value and stationary value.<>is a kind of special algorithm:
6. a kind of prediction technique of composite material Mixed-Mode Delamination resistance curve according to claim 1, it is characterised in that:
By to the fracture toughness initial value or stationary value progress minimum under I type, II type and different mixing ratios in the step 5 and 6
Two, which multiply fitting, obtains the parameter η value in criterion, used B-K delamination criterion are as follows:
Wherein, GIC、GIICAnd GI/IICRespectively I type, II type and I/II Mixed-Mode Delamination fracture toughness.
7. a kind of prediction technique of composite material Mixed-Mode Delamination resistance curve according to claim 1, it is characterised in that:
With ηinitAnd ηprop, fiber bridge joint length, I type delamination fractures toughness initial value and stationary value, II type delamination fractures toughness initial value
It is basic parameter with stationary value, one has to load mixing ratio as the predictor formula of the Mixed-Mode Delamination resistance curve of independent variable
Following form:
Wherein,WithIt is I type and II type delamination fractures toughness initial value respectively,WithIt is I type and II type respectively
Delamination fractures toughness stationary value, ηinitAnd ηpropIt is the B-K criterion of different layering type fracture toughness initial values and stationary value respectively
Fitting parameter.
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| CN111551485A (en) * | 2020-04-16 | 2020-08-18 | 重庆大学 | Improved composite material laminated plate I/II mixed type interlayer fracture toughness testing method |
| CN111624099A (en) * | 2020-04-16 | 2020-09-04 | 重庆大学 | Composite material laminated plate II type fatigue layering test device suitable for high and low temperature environment |
| CN111624099B (en) * | 2020-04-16 | 2022-10-04 | 重庆大学 | Composite material laminated plate II type fatigue layering test device suitable for high and low temperature environment |
| CN111551485B (en) * | 2020-04-16 | 2023-01-31 | 重庆大学 | Improved composite material laminated plate I/II mixed type interlayer fracture toughness testing method |
| CN114184467A (en) * | 2020-09-15 | 2022-03-15 | 中国航发商用航空发动机有限责任公司 | Test piece for fracture performance test and preparation method thereof |
| CN114184467B (en) * | 2020-09-15 | 2024-04-26 | 中国航发商用航空发动机有限责任公司 | Test piece for testing fracture performance and preparation method thereof |
| CN113627012A (en) * | 2021-08-06 | 2021-11-09 | 长安大学 | Method for predicting breaking strength of carbon fiber/metal laminated structure after surface scratch |
| CN113627012B (en) * | 2021-08-06 | 2023-06-20 | 长安大学 | Method for predicting fracture strength of carbon fiber/metal layered structure after surface scratch |
| CN114896763A (en) * | 2022-04-18 | 2022-08-12 | 重庆大学 | Method for predicting composite material I/II mixed fracture response surface |
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