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 PDF

Info

Publication number
CN108733862A
CN108733862A CN201710271728.1A CN201710271728A CN108733862A CN 108733862 A CN108733862 A CN 108733862A CN 201710271728 A CN201710271728 A CN 201710271728A CN 108733862 A CN108733862 A CN 108733862A
Authority
CN
China
Prior art keywords
creep
stress
steady state
under
pin hole
Prior art date
Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
Granted
Application number
CN201710271728.1A
Other languages
Chinese (zh)
Other versions
CN108733862B (en
Inventor
徐连勇
邬栋权
荆洪阳
韩永典
赵雷
吕小青
Current Assignee (The listed assignees may be inaccurate. Google has not performed a legal analysis and makes no representation or warranty as to the accuracy of the list.)
Tianjin University
Original Assignee
Tianjin University
Priority date (The priority date is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the date listed.)
Filing date
Publication date
Application filed by Tianjin University filed Critical Tianjin University
Priority to CN201710271728.1A priority Critical patent/CN108733862B/en
Publication of CN108733862A publication Critical patent/CN108733862A/en
Application granted granted Critical
Publication of CN108733862B publication Critical patent/CN108733862B/en
Active legal-status Critical Current
Anticipated expiration legal-status Critical

Links

Classifications

    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
    • G06F30/00Computer-aided design [CAD]
    • G06F30/20Design optimisation, verification or simulation
    • G06F30/23Design optimisation, verification or simulation using finite element methods [FEM] or finite difference methods [FDM]

Landscapes

  • Engineering & Computer Science (AREA)
  • Physics & Mathematics (AREA)
  • Theoretical Computer Science (AREA)
  • Computer Hardware Design (AREA)
  • Evolutionary Computation (AREA)
  • Geometry (AREA)
  • General Engineering & Computer Science (AREA)
  • General Physics & Mathematics (AREA)
  • Investigating Strength Of Materials By Application Of Mechanical Stress (AREA)

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

The creep incubation period prediction technique of contained effect is considered under the conditions of steady state creep
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
CN201710271728.1A 2017-04-24 2017-04-24 Creep induction period prediction method considering restraint effect under steady-state creep condition Active CN108733862B (en)

Priority Applications (1)

Application Number Priority Date Filing Date Title
CN201710271728.1A CN108733862B (en) 2017-04-24 2017-04-24 Creep induction period prediction method considering restraint effect under steady-state creep condition

Applications Claiming Priority (1)

Application Number Priority Date Filing Date Title
CN201710271728.1A CN108733862B (en) 2017-04-24 2017-04-24 Creep induction period prediction method considering restraint effect under steady-state creep condition

Publications (2)

Publication Number Publication Date
CN108733862A true CN108733862A (en) 2018-11-02
CN108733862B CN108733862B (en) 2020-05-08

Family

ID=63934054

Family Applications (1)

Application Number Title Priority Date Filing Date
CN201710271728.1A Active CN108733862B (en) 2017-04-24 2017-04-24 Creep induction period prediction method considering restraint effect under steady-state creep condition

Country Status (1)

Country Link
CN (1) CN108733862B (en)

Cited By (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN114970106A (en) * 2022-04-28 2022-08-30 天津大学 Method and system for predicting radiation hardening based on microstructure

Citations (10)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN101379381A (en) * 2006-02-01 2009-03-04 新日本制铁株式会社 Breaking prediction method
CN103217346A (en) * 2013-04-01 2013-07-24 北京航空航天大学 Method for measuring high-temperature creep crack growth threshold value of material
CN103323343A (en) * 2013-06-17 2013-09-25 四川大学 Judgment method and prediction method for creep failure life of polymer material
WO2014155558A1 (en) * 2013-03-27 2014-10-02 中国電力株式会社 Method for predicting remaining creep life of heat- and pressure-degraded product, and standard curve preparation method using this prediction method
JP5851197B2 (en) * 2011-10-25 2016-02-03 日立Geニュークリア・エナジー株式会社 Stress corrosion cracking life evaluation method for metal materials and inspection plan formulation system for structures used in corrosive water environment
CN105806715A (en) * 2016-03-10 2016-07-27 大连理工大学 High-temperature creep deformation prediction method
CN105842087A (en) * 2016-03-03 2016-08-10 安阳工学院 Designing and prediction method for converting high-temperature stress relaxation data into creep data
CN106529017A (en) * 2016-11-08 2017-03-22 华南理工大学 High-temperature creep deformation prediction and creep damage analysis method for high-chrome steel component
CN106557630A (en) * 2016-11-21 2017-04-05 中国石油大学(华东) A kind of creep impairment life-span prediction method of material under multi-axis stress state
CN106568655A (en) * 2016-10-28 2017-04-19 沈阳工业大学 Method used for predicting creep life of heat-resisting alloy

Patent Citations (10)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN101379381A (en) * 2006-02-01 2009-03-04 新日本制铁株式会社 Breaking prediction method
JP5851197B2 (en) * 2011-10-25 2016-02-03 日立Geニュークリア・エナジー株式会社 Stress corrosion cracking life evaluation method for metal materials and inspection plan formulation system for structures used in corrosive water environment
WO2014155558A1 (en) * 2013-03-27 2014-10-02 中国電力株式会社 Method for predicting remaining creep life of heat- and pressure-degraded product, and standard curve preparation method using this prediction method
CN103217346A (en) * 2013-04-01 2013-07-24 北京航空航天大学 Method for measuring high-temperature creep crack growth threshold value of material
CN103323343A (en) * 2013-06-17 2013-09-25 四川大学 Judgment method and prediction method for creep failure life of polymer material
CN105842087A (en) * 2016-03-03 2016-08-10 安阳工学院 Designing and prediction method for converting high-temperature stress relaxation data into creep data
CN105806715A (en) * 2016-03-10 2016-07-27 大连理工大学 High-temperature creep deformation prediction method
CN106568655A (en) * 2016-10-28 2017-04-19 沈阳工业大学 Method used for predicting creep life of heat-resisting alloy
CN106529017A (en) * 2016-11-08 2017-03-22 华南理工大学 High-temperature creep deformation prediction and creep damage analysis method for high-chrome steel component
CN106557630A (en) * 2016-11-21 2017-04-05 中国石油大学(华东) A kind of creep impairment life-span prediction method of material under multi-axis stress state

Non-Patent Citations (5)

* Cited by examiner, † Cited by third party
Title
C.M.DAVIES: "《An analytical and computational study of crack initiation under transient creep conditions》", 《INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES》 *
ZHAO L: "《Evaluation of constraint effects on creep crack growth by experimental investigation and numerical simulation》", 《ENGINEERING FRACTURE MECHANICS》 *
徐连勇: "《焊后热处理对P92钢管道焊接残余应力场的影响》", 《焊接学报》 *
谈建平: "《纳入拘束效应的含裂纹结构蠕变寿命评价方法研究》", 《中国博士学位论文全文数据库基础科学辑》 *
赵雷: "《考虑拘束效应的高温下含缺陷P92 管道寿命评估方法研究》", 《中国博士学位论文全文数据库工程科技Ⅱ辑》 *

Cited By (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN114970106A (en) * 2022-04-28 2022-08-30 天津大学 Method and system for predicting radiation hardening based on microstructure

Also Published As

Publication number Publication date
CN108733862B (en) 2020-05-08

Similar Documents

Publication Publication Date Title
Zhu et al. Evaluation of size effect on strain-controlled fatigue behavior of a quench and tempered rotor steel: Experimental and numerical study
Mahmoud Fracture strength for a high strength steel bridge cable wire with a surface crack
CN108733860A (en) Creep induction period prediction method considering restraint effect under plastic transient creep condition
Zong et al. Experimental investigation and numerical simulation on fatigue crack behavior of bridge steel WNQ570 base metal and butt weld
CN108733862A (en) Creep induction period prediction method considering restraint effect under steady-state creep condition
CN108732032B (en) Creep induction period prediction method containing residual stress under steady-state creep condition
CN108733861B (en) Creep induction period prediction method containing residual stress under plastic condition
CN109932242A (en) Creep induction period prediction method considering load-independent constraint parameters under steady-state creep condition
CN109932251A (en) Creep induction period prediction method considering load-independent constraint parameters under plastic condition
CN109933820A (en) The creep incubation period prediction technique of the contained parameter unrelated with load is considered under elastic condition
CN108732034B (en) Creep induction period prediction method containing residual stress under elastic transient creep condition
CN108731989A (en) Creep induction period prediction method containing residual stress under plastic transient creep condition
CN108732029B (en) Creep induction period prediction method containing residual stress under elastic condition
CN108732030A (en) Creep induction period prediction method considering restraint effect under plastic condition
CN109933822A (en) The creep incubation period prediction technique of the contained parameter unrelated with load is considered under the conditions of plasticity transient creep
CN109933816B (en) Creep induction period prediction method for coupling residual stress and constraint effect under elastic transient creep condition
CN108732031A (en) Creep induction period prediction method considering restraint effect under elastic condition
CN108732033A (en) Creep induction period prediction method considering restraint effect under elastic transient creep condition
CN109933817A (en) The creep incubation period prediction technique of the contained parameter unrelated with load is considered under the conditions of elastic transient creep
CN109933815B (en) Creep induction period prediction method for coupling residual stress and constraint effect under steady-state creep condition
CN109933823B (en) Creep induction period prediction method for coupling residual stress and constraint effect under plastic transient creep condition
CN109959555B (en) Method for predicting induction period of central crack tensile sample by considering thickness and crack depth influence
CN109932241A (en) Creep induction period prediction method for coupling residual stress and constraint effect under plastic condition
Zhao et al. Evaluation of the multiple embedded cracks interaction effect in creep regime by creep damage method
Facheris Cyclic plastic material behavior leading to crack initiation in stainless steel under complex fatigue loading conditions

Legal Events

Date Code Title Description
PB01 Publication
PB01 Publication
SE01 Entry into force of request for substantive examination
SE01 Entry into force of request for substantive examination
GR01 Patent grant
GR01 Patent grant
CP02 Change in the address of a patent holder

Address after: 300452 Binhai Industrial Research Institute Campus of Tianjin University, No. 48 Jialingjiang Road, Binhai New Area, Tianjin

Patentee after: Tianjin University

Address before: 300072 Tianjin City, Nankai District Wei Jin Road No. 92

Patentee before: Tianjin University

CP02 Change in the address of a patent holder