CN103255268A - Method for optimizing thickness in process of simultaneously impacting alloy by using lasers from two sides - Google Patents
Method for optimizing thickness in process of simultaneously impacting alloy by using lasers from two sides Download PDFInfo
- Publication number
- CN103255268A CN103255268A CN2013102247108A CN201310224710A CN103255268A CN 103255268 A CN103255268 A CN 103255268A CN 2013102247108 A CN2013102247108 A CN 2013102247108A CN 201310224710 A CN201310224710 A CN 201310224710A CN 103255268 A CN103255268 A CN 103255268A
- Authority
- CN
- China
- Prior art keywords
- thickness
- model
- laser
- stress
- alloy
- 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
Links
Images
Classifications
-
- Y—GENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
- Y02—TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
- Y02P—CLIMATE CHANGE MITIGATION TECHNOLOGIES IN THE PRODUCTION OR PROCESSING OF GOODS
- Y02P10/00—Technologies related to metal processing
- Y02P10/20—Recycling
Landscapes
- Laser Beam Processing (AREA)
- Investigating Strength Of Materials By Application Of Mechanical Stress (AREA)
Abstract
The invention discloses a method for optimizing the thickness in the process of simultaneously impacting an alloy by using lasers from two sides. The method comprises the following steps of: simulating a situation that lasers simultaneously impact a target material from two sides by establishing multiple groups of different thicknesses of 2D (2-dimensional) axisymmetric model; and comparing and analyzing a residual stress curve of models with different thicknesses along the axial depth direction to obtain an optimal thickness so that a strengthening effect is the best. The method can be applied to a plurality of fields, such as aircraft turbines, blisks, steam turbines and water turbines in aviation and civil use. As blades of the components are too thin and large in bending torque, the blades are easy to deform and damage when the laser at one side is used for impacting and strengthening; and in addition, during impacting by using the laser from one side, the impact surface represents high-amplitude residual pressure and stress, and meanwhile, the impact back surface represents a tension and stress state, therefore a method for simultaneously impacting the blades by using the lasers from two sides is an effective blade strengthening method.
Description
Technical field
The present invention relates to the reiforcing laser impact technology field, refer in particular to a kind ofly when utilizing two-sided laser to impact alloy simultaneously, improve the method for alloy strengthening effect.
Technical background
Laser impact intensified is to utilize power density greater than 10
9W/cm
2The laser beam impinge metal material surface of short pulse ns level produces high-intensity shockwave, peak pressure reaches the GPa level and propagates to metal inside, when forming intensive, stable misconstruction, make surfacing generation viscous deformation to produce very big residual compressive stress, thereby improve the mechanical property of metallic substance, as the surface strengthening technology of strength property, fatigue property etc.Laser peening is widely used because of characteristics such as the zero pollution of its uniqueness, high-level efficiency, high precision.
Domestic and international research to laser impact intensified alloy at present mainly concentrates on the situation that the target single face is dashed, and it is actual in actual life, especially on the component of some military aircrafts and aviation airship, blade as engine, pump leaf of water screw etc., because they expose in the external world, the tow sides of component tend to be subjected to simultaneously the test of various bad working environments, and usually need to bear the work of high strength, high capacity, take exercise and various wearing and tearing, corrosion etc. for fear of fatigue.This has proposed urgent requirement to how improving the two-sided mechanical property of target simultaneously.But when utilizing two-sided laser to impact the thin target material simultaneously, its optimal thickness is not simply to double the measured unrelieved stress depth value of experiment.Liquidate when bumping when two pulse shocks of front-back two-sided impact form, complicated relative movement and variation can take place in the residual stress field of alloy inside, thereby weaken the surface compress residual stresses layer, and the thickness of target is more thin, and this influence is more obvious.
When two-sided laser impacted alloy material simultaneously, alloy thickness was the important factor that influences its shock peening effect, still lacked the preferred method that two-sided laser impacts alloy thickness simultaneously at present.
Summary of the invention
The invention provides the two-sided laser of a kind of alloy and impact the thickness optimization method simultaneously, preferably provide the technical director for what two-sided laser impacted alloy thickness simultaneously, improve the two-sided mechanical property of target.
For solving above technical problem, the present invention adopts large-scale finite element analysis software, the alloy target material of simulating various different thickness is subjected to the distribution that two-sided laser impacts the residual stress field of positive and negative two surfaces, back and inside thereof simultaneously, the analog result that it and single face under the same laser impact condition are impacted compares, and the alloy target material of must sening as an envoy to obtains the optimal thickness of the unrelieved stress of the reinforcement degree of depth close with single-impact and identical numerical value magnitude when being subjected to two-sided impact.The concrete technical scheme that adopts is as follows:
Step 1 makes up a 2D axisymmetric model, and the simulated laser single face impacts alloy gained residual stress field, obtains the unrelieved stress curve of depth direction vertically;
Step 2, observing its maximum residual stress value and unrelieved stress influences the degree of depth, influences the degree of depth with the theoretical unrelieved stress of 2D axisymmetric model and compares, and calculates the matching degree between simulation and the theory, the reliability of checking analogy method;
Step 3 makes up the 2D axisymmetric model that many group thickness slightly superpose successively, in order to reduce the influence that edge reflection brings, will make that the model radius should be enough big, makes edge reflection be tending towards 0, so the radius of model should be more than or equal to 5 times of model thickness.Utilize described single face to impact identical laser technical parameters the process that two-sided laser impacts target simultaneously simulated, analog parameter is set:
(1) material property module input target mass density ρ kg/m is set
3, elastic modulus E MPa, Poisson's ratio υ, dynamically yield strength
MPa; It is non-independent community that entity type is set in load module;
(2) analysis step is set and in initial analysis step back Step-1 is set, the analysis step type is made as the demonstration dynamic class, open geometrical non-linearity, analyze duration and be made as 4000 ns, when utilizing explicit module analysis dynamic stress state, for calculating can be restrained, so time increment should be less than the stability limit of alloy;
(3) according to the difference of model thickness, select different mesh-densities; Cell type is made as demonstration, and grid stand under load type is made as axi symmetrical stress..
(4) according to the pulse width of testing set laser, the pressure pulse time length is traditionally arranged to be 2 ~ 3 times of laser pulse width, add the symmetrical final condition of U1=UR2=UR3=0 at its symmetry axis place, right side, apply the pulsating pressure with the identical size of single-impact same radius at the close symmetry axis place of last bottom surface; Submit to initial Job to analyze at last;
(5) simulated data with (4) calculating gained imports to new model block, the predefine field that load in the new model is set is former Job title, delete original Step-1, a newly-built Step, type is set to static implicit expression, the type of revising grid cell at mesh module is implicit expression, submits to new Job to carry out the resilience analysis at last, obtains stable residual stress field:
(6) the many group models of the comparative analysis unrelieved stress curve of depth direction vertically, choosing the unrelieved stress of impacting gained with single face influences the degree of depth and differs model at ± 0.1mm, finds out the least model thickness that unrelieved stress maximum value wherein reaches capacity and is optimal thickness.
Step 4, the model of the different thickness unrelieved stress curve of depth direction vertically in the comparative analysis step 3, with the model thickness that satisfies following 3 requirements simultaneously as optimal thickness:
The unrelieved stress maximum value reaches capacity;
The unrelieved stress that single face impacts gained influences the degree of depth and differs at ± 0.1mm;
Satisfy the least model thickness of above 2 conditions.
Implementing beneficial effect of the present invention is: by the finite element simulation simulation, can obtain the optimization model thickness that two-sided laser impacts alloy simultaneously, make two-sided laser while shock peening effect reach best, thereby improve the two-sided mechanical property of target.
Description of drawings
Fig. 1 optimizes two-sided laser to impact the synoptic diagram of alloy thickness approach simultaneously.
Fig. 2 is the single-impact target residual stress distribution figure of depth direction vertically.
Fig. 3 is that two-sided laser impacts different thickness target residual stress distribution figure vertically simultaneously.
Embodiment
Below in conjunction with accompanying drawing the specific embodiment of the present invention is elaborated:
The target material that the present invention simulates is the AM50 magnesium alloy, density p=1800 kg/m
3, elastic modulus E=44800 MPa, Poisson's ratio υ=0.3, dynamically yield strength
=375 MPa, pressure pulse width are t=57 ns.The peak pressure that laser produces is made as 1600 MPa.
The stress waves in soils that laser-impact produces is in target internal communication process, the strongest at the stress waves in soils that just contacts plate surface, strengthening effect to sheet material is best, along with the increase of stress waves in soils to target internal communication distance, intensity declines gradually, strengthening effect to material is also weakening gradually, until producing reverse residual tension.
Theoretical unrelieved stress under the laser-impact effect influences the degree of depth
Can estimate by following formula:
In the formula
,
Be respectively elastic wave and the plastic wave velocity of propagation in sheet material, magnesium alloy
=5.74 * 10-
6Mm/s,
=4.44 * 10-
6Mm/s,
Be that shockwave action time is 57 ns,
=656 MPa.Will
,
,
,
,
Substitution (1) formula, obtaining theoretical unrelieved stress influences the degree of depth
≈ 0.84 mm.
At its depth direction, the simulation gained along the residual stress distribution of central shaft as shown in Figure 2, in its axial depth direction, maximum residual stress is up to-250 MPa, unrelieved stress influences the degree of depth and is about 0.88 mm, influence the degree of depth with the theoretical unrelieved stress of calculating gained and well coincide, matching degree is up to 95.45%.By above analysis as can be known, by utilizing the accurate simulated laser of 2D axisymmetric model to impact the residual stress field that target produces.
As shown in Figure 3, be the five group models distribution plans of depth direction unrelieved stress vertically, model A1, A2, A3, A4, A5 thickness is respectively 1mm, 2mm, 3mm, 4mm, 5mm, the radius unification is made as R., and we can find out very clearly from figure, model A1 and A2 curve fluctuation are all very big, but both compare, can clearly see, the unrelieved stress average of model A2 will be much larger than A1, the residual compressive stress maximum value of A1 is about-30 MPa, and A2 is about about-100 MPa, model A3, A4, the A5 residual stress distribution is similar, the residual compressive stress maximum value all is about-200 MPa, i.e. A3, A4/A5 residual compressive stress maximum value has reached saturated.
It is to judge a very important measurement index of laser impact intensified effect that residual compressive stress influences the degree of depth, want to make the effect after the two-sided impact of target to reach best, the degree of depth that influences that namely will make the surface residual stress of two-sided impact target influence the degree of depth and single-impact is consistent as far as possible.After the A3 model impacts simultaneously through two-sided laser as shown in Figure 3, it is about 0.6 mm that unrelieved stress influences the degree of depth, A4 influence the degree of depth be about 0.87 mm greater than A4 influence the degree of depth 0.85 mm, the unrelieved stress of model A4 and A5 influences the degree of depth all near 0.88 mm of single-impact.Both differ 0.03 mm and 0.01mm respectively, less than 0.1 mm.We draw the AM50 magnesium alloy to carry out the optimal thickness that two-sided laser impacts simultaneously are 4 mm by above analysis.
Claims (3)
1. optimize the method that two-sided laser impacts alloy thickness simultaneously for one kind, it is characterized in that comprising the steps:
Step 1 makes up a 2D axisymmetric model, and the simulated laser single face impacts alloy gained residual stress field, obtains the unrelieved stress curve of depth direction vertically;
Step 2, observing its maximum residual stress value and unrelieved stress influences the degree of depth, influences the degree of depth with the theoretical unrelieved stress of 2D axisymmetric model and compares, and calculates the matching degree between simulation and the theory, the reliability of checking analogy method;
Step 3, the 2D axisymmetric model that the many groups of structure thickness slightly superpose successively and model radius are more than or equal to 5 times of model thickness, utilize described single face to impact identical laser technical parameters the process that two-sided laser impacts target is simultaneously simulated, analog parameter is set;
Step 4, the model of the different thickness unrelieved stress curve of depth direction vertically in the comparative analysis step 3, with the model thickness that satisfies following 3 requirements simultaneously as optimal thickness:
The unrelieved stress maximum value reaches capacity;
The unrelieved stress that single face impacts gained influences the degree of depth and differs at ± 0.1mm;
Satisfy the least model thickness of above 2 conditions.
2. method that the two-sided laser of optimization as claimed in claim 1 impacts alloy thickness simultaneously is characterized in that: described that the analog parameter process is set is as follows:
Step 1 arranges material property module input target mass density ρ kg/m
3, elastic modulus E MPa, Poisson's ratio υ, dynamically yield strength
MPa; It is non-independent community that entity type is set in load module;
Step 2 arranges analysis step and in initial analysis step back Step-1 is set, and the analysis step type is made as the demonstration dynamic class, open geometrical non-linearity, analyze duration and be made as 4000 ns, when utilizing explicit module analysis dynamic stress state, make time increment less than the stability limit of alloy;
Step 3 according to the difference of model thickness, is selected different mesh-densities; Cell type is made as demonstration, and grid stand under load type is made as axi symmetrical stress; .
Step 4, pulse width according to the set laser of test, the pressure pulse time length is traditionally arranged to be 2 ~ 3 times of laser pulse width, add the symmetrical final condition of U1=UR2=UR3=0 at its symmetry axis place, right side, apply the pulsating pressure with the identical size of single-impact same radius at the close symmetry axis place of last bottom surface; Submit to initial Job to analyze at last;
Step 5, the simulated data of step 4 being calculated gained imports to new model block, and new analog parameter is set, and does static resilience analysis, obtains stable residual stress field;
Step 6, the many group models of comparative analysis are the unrelieved stress curve of depth direction vertically, choosing the unrelieved stress of impacting gained with single face influences the degree of depth and differs model at ± 0.1mm, finds out the least model thickness that unrelieved stress maximum value wherein reaches capacity and is optimal thickness.
3. method that the two-sided laser of optimization as claimed in claim 1 or 2 impacts alloy thickness simultaneously, it is characterized in that described that new analog parameter process is set is as follows: the predefine field that load in the new model is set is made as former Job title, delete original Step-1, a newly-built Step, type is set to static implicit expression, and the type of revising at mesh module is implicit expression; Submit to new Job to analyze.
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201310224710.8A CN103255268B (en) | 2013-06-07 | 2013-06-07 | Method for optimizing thickness in process of simultaneously impacting alloy by using lasers from two sides |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201310224710.8A CN103255268B (en) | 2013-06-07 | 2013-06-07 | Method for optimizing thickness in process of simultaneously impacting alloy by using lasers from two sides |
Publications (2)
| Publication Number | Publication Date |
|---|---|
| CN103255268A true CN103255268A (en) | 2013-08-21 |
| CN103255268B CN103255268B (en) | 2014-08-20 |
Family
ID=48959474
Family Applications (1)
| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| CN201310224710.8A Expired - Fee Related CN103255268B (en) | 2013-06-07 | 2013-06-07 | Method for optimizing thickness in process of simultaneously impacting alloy by using lasers from two sides |
Country Status (1)
| Country | Link |
|---|---|
| CN (1) | CN103255268B (en) |
Cited By (8)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN103712724A (en) * | 2013-12-30 | 2014-04-09 | 江苏大学 | Relative laser shock strength characterization method |
| CN104962722A (en) * | 2015-05-25 | 2015-10-07 | 中国南方航空工业(集团)有限公司 | Turbine rotor blade tenon tooth laser shock processing method |
| CN106702137A (en) * | 2017-02-06 | 2017-05-24 | 江苏大学 | Double-face synchronous laser shock processing method for leading edge of turbine blade |
| CN106893855A (en) * | 2017-02-06 | 2017-06-27 | 江苏大学 | A kind of turbo blade dominates the two-sided asynchronous excitation impact reinforcing method in side |
| CN107103138A (en) * | 2017-04-25 | 2017-08-29 | 广东工业大学 | A kind of laser peening variation rigidity light weight method |
| CN110438426A (en) * | 2019-09-19 | 2019-11-12 | 中国人民解放军空军工程大学 | A kind of laser impact intensified process of titanium alloy slim vane variable pulse width |
| CN110749300A (en) * | 2019-10-30 | 2020-02-04 | 中国航空制造技术研究院 | Pit quality evaluation method for laser shock peening metal material surface |
| CN111310375A (en) * | 2020-02-14 | 2020-06-19 | 广东工业大学 | Machining method for optimizing shock wave pressure of laser double-sided simultaneous opposite impact titanium alloy blade |
Citations (5)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| US5985056A (en) * | 1996-01-15 | 1999-11-16 | The University Of Tennessee Research Corporation | Method for laser induced improvement of surfaces |
| CN1986387A (en) * | 2006-09-15 | 2007-06-27 | 江苏大学 | Laser loaded 3D micron and nano size forming process and equipment |
| CN101249588A (en) * | 2008-03-14 | 2008-08-27 | 江苏大学 | Sheet material double face precise forming method and apparatus based on laser blast wave effect |
| CN101831528A (en) * | 2009-03-10 | 2010-09-15 | 安凤占 | Saw bade alloy tool bit and laser strengthening treatment process thereof |
| CN102513440A (en) * | 2011-12-16 | 2012-06-27 | 江苏大学 | Method and device for forming magnesium alloy formed parts with excellent high-temperature mechanical property |
-
2013
- 2013-06-07 CN CN201310224710.8A patent/CN103255268B/en not_active Expired - Fee Related
Patent Citations (5)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| US5985056A (en) * | 1996-01-15 | 1999-11-16 | The University Of Tennessee Research Corporation | Method for laser induced improvement of surfaces |
| CN1986387A (en) * | 2006-09-15 | 2007-06-27 | 江苏大学 | Laser loaded 3D micron and nano size forming process and equipment |
| CN101249588A (en) * | 2008-03-14 | 2008-08-27 | 江苏大学 | Sheet material double face precise forming method and apparatus based on laser blast wave effect |
| CN101831528A (en) * | 2009-03-10 | 2010-09-15 | 安凤占 | Saw bade alloy tool bit and laser strengthening treatment process thereof |
| CN102513440A (en) * | 2011-12-16 | 2012-06-27 | 江苏大学 | Method and device for forming magnesium alloy formed parts with excellent high-temperature mechanical property |
Non-Patent Citations (3)
| Title |
|---|
| BRAISTED, WILLIAM, ROBERT BROCKMAN: "Finite element simulation of laser shock peening", 《INTERNATIONAL JOURNAL OF FATIGUE》 * |
| 吉维民等: "板料激光冲击变形的实验和有限元数值模拟", 《农业机械学报》 * |
| 王文兵等: "薄板激光冲击强化残余应力场的数值模拟与试验", 《塑性工程学报》 * |
Cited By (16)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN103712724B (en) * | 2013-12-30 | 2016-05-25 | 江苏大学 | A kind of characterizing method based on relative laser-impact intensity |
| CN103712724A (en) * | 2013-12-30 | 2014-04-09 | 江苏大学 | Relative laser shock strength characterization method |
| CN104962722B (en) * | 2015-05-25 | 2017-06-20 | 中国南方航空工业(集团)有限公司 | Turbine rotor blade tenon tooth laser shock peening method |
| CN104962722A (en) * | 2015-05-25 | 2015-10-07 | 中国南方航空工业(集团)有限公司 | Turbine rotor blade tenon tooth laser shock processing method |
| CN106702137B (en) * | 2017-02-06 | 2018-12-14 | 江苏大学 | A method of it is laser impact intensified that side Double-side Synchronous is dominated for turbo blade |
| CN106893855A (en) * | 2017-02-06 | 2017-06-27 | 江苏大学 | A kind of turbo blade dominates the two-sided asynchronous excitation impact reinforcing method in side |
| WO2018141128A1 (en) * | 2017-02-06 | 2018-08-09 | 江苏大学 | Method for use in double-sided synchronous laser shock reinforcement of leading edge of turbine blade |
| CN106702137A (en) * | 2017-02-06 | 2017-05-24 | 江苏大学 | Double-face synchronous laser shock processing method for leading edge of turbine blade |
| US11103956B2 (en) | 2017-02-06 | 2021-08-31 | Jiangsu University | Double-side synchronous laser shock peening method for leading edge of turbine blade |
| CN107103138A (en) * | 2017-04-25 | 2017-08-29 | 广东工业大学 | A kind of laser peening variation rigidity light weight method |
| CN107103138B (en) * | 2017-04-25 | 2021-01-26 | 广东工业大学 | Variable-rigidity lightweight method for laser shot blasting |
| CN110438426A (en) * | 2019-09-19 | 2019-11-12 | 中国人民解放军空军工程大学 | A kind of laser impact intensified process of titanium alloy slim vane variable pulse width |
| CN110749300A (en) * | 2019-10-30 | 2020-02-04 | 中国航空制造技术研究院 | Pit quality evaluation method for laser shock peening metal material surface |
| CN110749300B (en) * | 2019-10-30 | 2021-03-05 | 中国航空制造技术研究院 | Pit quality evaluation method for laser shock peening metal material surface |
| CN111310375A (en) * | 2020-02-14 | 2020-06-19 | 广东工业大学 | Machining method for optimizing shock wave pressure of laser double-sided simultaneous opposite impact titanium alloy blade |
| CN111310375B (en) * | 2020-02-14 | 2023-05-16 | 广东工业大学 | Processing method for optimizing laser double-sided simultaneous opposite impact titanium alloy blade shock wave pressure |
Also Published As
| Publication number | Publication date |
|---|---|
| CN103255268B (en) | 2014-08-20 |
Similar Documents
| Publication | Publication Date | Title |
|---|---|---|
| CN103255268B (en) | Method for optimizing thickness in process of simultaneously impacting alloy by using lasers from two sides | |
| Ding et al. | Laser shock peening: performance and process simulation | |
| CN107217133B (en) | Laser impact intensified Finite Element Method | |
| CN103246772A (en) | ABAQUS-based finite element simulation method of correcting welding deformation through ultrasonic shot-peening | |
| CN111310375B (en) | Processing method for optimizing laser double-sided simultaneous opposite impact titanium alloy blade shock wave pressure | |
| CN106446517B (en) | A kind of modeling of laser impact intensified alloy plastic deformation's depth and method of discrimination | |
| CN104484538A (en) | Shot peening strengthening treatment process parameter determination method based on finite element analysis | |
| Hu et al. | 3D dynamic finite element analysis of the nonuniform residual stress in ultrasonic impact treatment process | |
| CN203616217U (en) | Experimental device for measuring spall strength of concrete | |
| CN111639419B (en) | Method for judging problem of cabin implosion small deformation plastic damage mode | |
| CN105443102A (en) | Horizontal well layer blast crack body modeling method | |
| CN110332910A (en) | Laser-impact prediction technique and device based on laser fluctuation and surface laser scattering | |
| CN103712724B (en) | A kind of characterizing method based on relative laser-impact intensity | |
| CN109735695A (en) | A kind of high-pressure water jet reduces the process of welding residual stress | |
| CN112784470A (en) | Method for evaluating damage grade of civil engineering target under action of explosive load | |
| Spradlin | Process sequencing for fatigue life extension of large scale laser peened components | |
| CN110361121B (en) | Accurate prediction method for laser shock peening induced residual stress field | |
| CN107563106B (en) | Simulation-based high-G-value wide-pulse impact waveform design method | |
| CN103399974B (en) | Quantize the method comparing random vibration emulated data and experimental data | |
| Dou et al. | Experimental and numerical investigation on high-velocity hail impact response of TC4 titanium alloy plates | |
| CN114492080A (en) | Impact resistance evaluation and optimization design method for electronic detonator | |
| Yip et al. | Adapting a multi-material ale with amr method for physics of high-speed material interactions | |
| Engebretsen et al. | Laser shock impulse modelling via data matching | |
| Roth et al. | Multiscale RKPM formulation for modeling penetration of an ultra high-strength concrete material | |
| CN114861491B (en) | Numerical simulation method for multi-point large-dip angle oblique laser shock reinforcement of various light intensity distribution |
Legal Events
| Date | Code | Title | Description |
|---|---|---|---|
| C06 | Publication | ||
| PB01 | Publication | ||
| C10 | Entry into substantive examination | ||
| SE01 | Entry into force of request for substantive examination | ||
| C53 | Correction of patent of invention or patent application | ||
| CB03 | Change of inventor or designer information |
Inventor after: Luo Kaiyu Inventor after: Chen Qi Inventor after: Lu Jinzhong Inventor before: Luo Kaiyu Inventor before: Chen Qi Inventor before: Luo Mi Inventor before: Lin Tong Inventor before: Liu Juan |
|
| COR | Change of bibliographic data |
Free format text: CORRECT: INVENTOR; FROM: LUO KAIYU CHEN QI LUO MI LIN TONG LIU JUAN TO: LUO KAIYU CHEN QI LU JINZHONG |
|
| C14 | Grant of patent or utility model | ||
| GR01 | Patent grant | ||
| CF01 | Termination of patent right due to non-payment of annual fee |
Granted publication date: 20140820 Termination date: 20190607 |
|
| CF01 | Termination of patent right due to non-payment of annual fee |