CN108733862A - Creep induction period prediction method considering restraint effect under steady-state creep condition - Google Patents
Creep induction period prediction method considering restraint effect under steady-state creep condition Download PDFInfo
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Abstract
The invention discloses a creep induction period prediction method considering restraint effect under a steady-state creep condition, provides a corrected creep induction period prediction model under the steady-state creep condition, introduces a restraint parameter Q by utilizing a toughness dissipation damage model, and calculates the creep induction period considering the restraint effect. A main load is applied by using a compact tensile sample (CT) to carry out a creep simulation experiment, so that the creep induction period under a plastic condition can be simply and effectively predicted in the structure. The invention has the beneficial effects that: a simplified creep induction period prediction method under a steady-state creep condition is provided, so that the creep induction period under a plastic condition can be simply and effectively predicted in a structure.
Description
Technical field
The present invention relates to consider creep incubation period engineering critical of the thermal structure of contained effect under the conditions of steady state creep
Evaluation is just to determine when, there are face crack and when being under steady state creep stress condition, evaluating this thermal structure in structure
Creeping crack initiating life.
Background technology
Energy resource structure based on fire coal is one of the main reason of China's haze weather, and coal fired power generation be China at present most
Main generation mode, the trend is by long-term existence.Therefore, in addition to restructuring the use of energy, develop the ultra supercritical of high effect cleaning
(USC) unit is one of important channel of energy-saving and emission-reduction.However, the raising of vapor (steam) temperature and pressure and other parameters causes unit crucial
The Service Environment very severe of high-temperature pipe, it is various scarce that there are crackle, lack of penetration, weld blowhole and slag inclusions etc. especially in pipeline
It falls into, seriously threatens the safe operation of unit, need to carry out it accurate life appraisal of science.
In decades, for cracking member under high temperature, the development abroad review approach of a variety of high-temperature creep life-spans and
Method.Creep incubation period is the elapsed-time standards longest stage in creep process, and the Accurate Prediction of incubation period is for thermal structure
Creep life prediction is of great significance;The incubation period prediction model that Davies et al. is proposed based on toughness dissipation model considers
The integrality of creep process stress variation, but influence of the contained effect of structure to incubation period do not studied;It is close
Scientific research personnel has carried out a large amount of research for restraining influence of the effect to On Creep Crack Growth over year.Contained effect is widely deposited
It is in the high-temperature component fabricated, and significant impact is caused to the service life of component.It is compacted to be largely directed to high temperature
The research for restraining effect in the case of change is also unfolded extensively.Therefore the creep incubation period prediction model for considering to restrain effect is established, it can
With the more accurate creep incubation period for completely assessing Combined Loading structure.
Invention content
The present invention is on the basis of Davies works, it is proposed that under the conditions of steady state creep, considers that the creep for restraining effect is pregnant
Educate phase prediction model.Using ductility exhaustion damage model, introduces contained parameter Q calculating and consider that the creep for restraining effect is bred
Phase.Apply main load using compact tensile specimen (CT) and carries out creep simulation experiment.
The technical solution adopted to achieve the purpose of the present invention is:
The creep incubation period prediction technique that contained effect is considered under the conditions of the steady state creep of the present invention, includes the following steps:
S1:Establish model:The model includes CT sample ontologies, and the middle part front end of the CT samples ontology is equipped with slot, slot
Rear portion be equipped with notch, be additionally provided with main load pin hole, lower main load pin hole, upper main load pin hole, lower master on CT sample ontologies
Load pin hole is correspondingly arranged up and down, is separately positioned on the upper and lower ends of slot;
S2:Precrack is inserted at notch rear portion, and slot, notch, precrack are in the same plane.Using pin in upper main load
Lotus pin hole, lower main load pin hole apply main load, carry out high-temerature creep experiment;
S3:Calculating can be obtained by creep finite element modelling containing effect CT sample incubation periods required necessity is restrained to join
Number.Under the conditions of steady state creep, calculating incubation period mainly includes the following steps that:
(1) the contained parameter Q under the conditions of steady state creep is calculated firstRRss, calculation formula is:
(I) in:It is the opening stress value at the crackle forward position obtained using FEM calculation, unit is MPa, σ0It is
The yield strength of material, unit is MPa, referring to document:(Zhao L,Xu L,Han Y,Jing H.Two-parameter
characterization of constraint effect induced by specimen size on creep crack
growth.Engng Fract Mech 2012;96:251–66.);
(I) in:σ22It is the opening stress value in the crackle forward position obtained using steady state creep stress field calculation, unit is MPa,
Wherein:C* is the high temperature fracture parameter obtained using FEM calculation, and unit is MPamm (h)-1, r is crackle
To the spacing of crackle forward position research point, unit is mm at rear portion tip, and it is mm to take r=d, d units, when being that judgement creep germinating occurs
Creep impairment reaches 1 distance extended before splitting point, i.e., the critical distance that creep germinating occurs, θ is crack tip angle,It is
Creep strain change rate, unit h-1, related with material at high temperature creep attribute, n is nondimensional creep stress hardenability value, n
WithReferring to document:(Zhao L,Jing H,Xu L,Han Y,Xiu J.Evaluation of constraint effects
on creep crack growth by experimental investigation and numerical
simulation.Engng Fract Mech 2012;96:251-66.), InIt is dimensionless function related with n,
It is dimensionless function related with θ and n, occurrence can be obtained with consulting literatures:(Shih,C.F..1983.Tables of
Hutchinson-Rice-Rosengren Singular Field Quantities.Brown University
Technical Report,MRL E-147.);
(2) equivalent stress is calculatedIts calculation formula is:
(II) in:σ11It is the stress value in the crackle forward position obtained using high-temerature creep stress field calculation, unit is MPa,
Wherein:It is dimensionless function related with θ and n, occurrence can be obtained with consulting literatures:(Shih,
C.F..1983.Tables of Hutchinson-Rice-Rosengren Singular Field Quantities.Brown
University Technical Report,MRL E-147.);
(3) and then steady state creep stress field time lower incubation period t is calculatedi RRss, calculation formula is:
(III) in:εcritIt is uniaxial creep toughness, unit 1, referring to document related with material properties:(Zhao L,
Jing H,Xu L,Han Y,Xiu J.Evaluation of constraint effects on creep crack
growth by experimental investigation and numerical simulation.Engng Fract
Mech 2012;96:251-66.),
(III) in:MSFRRssFor the Multiaxial stress factor under the conditions of steady state creep, according to Cocks and Ashby relational expression meters
It calculates:
Wherein:N is nondimensional creep stress hardenability value, and sinh is hyperbolic sine function, hRRssIt is answered for steady state creep
Three axis degree of power, under steady state creep state:
Wherein:θ is crack tip angle, and n is nondimensional creep stress hardenability value,WithIt is and θ
Dimensionless function related with n, occurrence can be obtained with consulting literatures:(Shih,C.F..1983.Tables of
Hutchinson-Rice-Rosengren Singular Field Quantities.Brown University
Technical Report,MRL E-147.)。
Preferably, d takes the crystallite dimension of research material.
Preferably, describedC* finite element modellings carry out calculating simulation using ABAQUS6.14,The extraction of C*
Process includes the following steps:
(1) finite element model for initially setting up the CT samples of main tensile load load, is arranged high in material properties module
The rigid of stretching pin and pin hole is arranged contact in mesh module grid division in the lower resilient plastic creep parameters of temperature in module
Property contact, and be inserted into precrack in a model, output parameter set in analysis step module:Stress value, fracture parameter C*
Value, is arranged tensile load and contained condition in payload module:Including symmetric condition and rigid condition;
(2) task computation is submitted in operation module, obtains and contains creep stretching experiment result of calculation, in destination file, from
Fracture parameter C* can be obtained in historical variable, and stress value can be obtained in field variable
Compared with prior art, the beneficial effects of the invention are as follows:
The present invention proposes creep incubation period prediction model under the conditions of modified steady state creep, compared with existing model, this
Design method can expand to original prediction model in the model containing contained effect, to propose that a kind of stable state of simplification is compacted
Creep incubation period prediction technique under the conditions of change, therefore succinctly effectively can predict creep under the condition of palsticity in the structure and breed
Phase.
Description of the drawings
Fig. 1 compact tensile specimens (CT) stretch schematic diagram.
Wherein:1-CT sample ontologies, the upper main load pin holes of 2-, 3- slots, 4- notches, 5- precracks, main load pin under 6-
Hole.
Fig. 2 creeping cracks germinate critical condition schematic diagram;
Specific implementation mode
The present invention is described in further detail below in conjunction with the drawings and specific embodiments.It should be appreciated that described herein
Specific embodiment be only used to explain the present invention, be not intended to limit the present invention.
The present embodiment chooses P92 high-temperature refractory steels, and with B=10mm, the CT samples of W=20mm, a/W=0.5 are as research
Object, using main load p=1200N as research load.Its main material attribute see the table below:
The creep incubation period prediction technique that contained effect is considered under the conditions of the steady state creep of the present invention, includes the following steps:
S1:Establish model as shown in Figure 1:The model includes CT samples ontology 1, the middle part of the CT samples ontology 1
Front end is equipped with slot 3, and the rear portion of slot 3 is equipped with notch 4, main load pin hole 2, lower main load pin hole are additionally provided on CT samples ontology 1
6, upper main load pin hole 2, about 6 lower main load pin hole are correspondingly arranged, and are separately positioned on the upper and lower ends of slot 3;
S2:Indentation, there is inserted into precrack 5, and slot 3, notch 4, precrack 5 are in the same plane.Using pin in upper master
Load pin hole 2, lower main load pin hole 6 apply main load, carry out high-temerature creep experiment;
S3:Calculating CT sample incubation periods required call parameter can be obtained by crossing creep finite element modelling.In plastic strip
Under part, calculating incubation period mainly includes the following steps that:
(1) each parameter is calculated first:
(a) the contained parameter Q under the condition of palsticityHRR:
Following data are extracted by finite element result:
I. the finite element model for initially setting up the CT samples of main tensile load load, is arranged high temperature in material properties module
Under resilient plastic creep parameters, in mesh module grid division, in the rigidity for contacting setting in module and stretching pin and pin hole
Contact, and it is inserted into precrack in a model, set output parameter in analysis step module:Stress value, fracture parameter C* products
Tensile load and contained condition is arranged in score value in payload module:Including symmetric condition and rigid condition;
Task computation is submitted in operation module, obtains and contains creep stretching experiment result of calculation, in destination file, from history
Fracture parameter C*=0.000666564MPa mm h can be obtained in variable-1, stress value can be obtained in field variable
(b) it tables look-up:InThe material parameter ε of=4.99, P92 steelcrit=0.2;N=5.23 is being counted
Calculate creep stress and it is contained when, take distance r=d=0.05mm, d (mm) before splitting point be judgement creep germinating occur when split
Creep impairment reaches 1 distance extended, i.e., the critical distance that creep germinating occurs before point, as shown in Fig. 2, general take is studied
The crystallite dimension of material.
The opening stress in crackle forward position:
(2) it tables look-up:
Equivalent stress
(3) and then under calculating steady state creep stress field the germinating occurred:
It tables look-up:InThe material parameter n=5.23 of=4.99, P92 steel,
εcrit=0.2;
Three axis degree of stress:
The Multiaxial stress factor:
Incubation period under the conditions of steady state creep:
The above is only a preferred embodiment of the present invention, it is noted that for the common skill of the art
For art personnel, various improvements and modifications may be made without departing from the principle of the present invention, these improvements and modifications
Also it should be regarded as protection scope of the present invention.
Claims (3)
1. considering the creep incubation period prediction technique of contained effect under the conditions of steady state creep, it is characterised in that:Include the following steps:
S1:Establish model:The model includes CT sample ontologies, and the middle part front end of the CT samples ontology is equipped with slot, after slot
Portion is equipped with notch, and main load pin hole, lower main load pin hole, upper main load pin hole, lower main load are additionally provided on CT sample ontologies
Pin hole is correspondingly arranged up and down, is separately positioned on the upper and lower ends of slot;
S2:Notch rear portion be inserted into precrack, slot, notch, precrack in the same plane, using pin in upper main load pin
Hole, lower main load pin hole apply main load, carry out high-temerature creep experiment;
S3:Calculating, which can be obtained, by creep finite element modelling contains contained effect CT sample incubation periods required call parameter,
Under the conditions of steady state creep, calculating incubation period mainly includes the following steps that:
(1) the contained parameter Q under the conditions of steady state creep is calculated firstRRss, calculation formula is:
(I) in:It is the opening stress value at the crackle forward position obtained using FEM calculation, unit is MPa, σ0It is material
Yield strength, unit is MPa,
(I) in:σ22It is the opening stress value in the crackle forward position obtained using steady state creep stress field calculation, unit is MPa,
Wherein:C*It is the high temperature fracture parameter obtained using FEM calculation, unit is MPamm (h)-1, r is crackle rear portion
To the spacing of crackle forward position research point, unit is mm at tip, and it is mm to take r=d, d units, is that judgement creep germinating splits point when occurring
Preceding creep impairment reaches 1 distance extended, i.e., the critical distance that creep germinating occurs, θ is crack tip angle,It is creep
Strain variation rate, unit h-1, related with material at high temperature creep attribute, n is nondimensional creep stress hardenability value, InBe with
The related dimensionless functions of n,It is dimensionless function related with θ and n;
(2) equivalent stress is calculatedIts calculation formula is:
(II) in:σ11It is the stress value in the crackle forward position obtained using high-temerature creep stress field calculation, unit is MPa,
Wherein:It is dimensionless function related with θ and n;
(3) and then steady state creep stress field time lower incubation period t is calculatedi RRss, calculation formula is:
(III) in:εcritIt is uniaxial creep toughness, unit 1 related with material properties,
(III) in:MSFRRssFor the Multiaxial stress factor under the conditions of steady state creep, calculated according to Cocks and Ashby relational expressions:
Wherein:N is nondimensional creep stress hardenability value, and sinh is hyperbolic sine function, hRRssFor three axis of steady state creep stress
Degree, under steady state creep state:
Wherein:θ is crack tip angle, and n is nondimensional creep stress hardenability value,WithIt is to have with θ and n
The dimensionless function of pass.
2. considering the creep incubation period prediction technique of contained effect, feature under the conditions of steady state creep as described in claim 1
It is:D takes the crystallite dimension of research material.
3. considering the creep incubation period prediction technique of contained effect, feature under the conditions of steady state creep as described in claim 1
It is:It is describedC*Finite element modelling carries out calculating simulation using ABAQUS6.14,C*Extraction process include with
Lower step:
(1) finite element model for initially setting up the CT samples of main tensile load load, is arranged in material properties module under high temperature
Resilient plastic creep parameters connect in the rigidity for contacting setting in module and stretching pin and pin hole in mesh module grid division
It touches, and is inserted into precrack in a model, output parameter is set in analysis step module:Stress value, fracture parameter C*Value,
Tensile load and contained condition are set in payload module:Including symmetric condition and rigid condition;
(2) task computation is submitted in operation module, obtains and contains creep stretching experiment result of calculation, in destination file, from history
Fracture parameter C can be obtained in variable*, stress value can be obtained in field variable
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