CN110442957A - The method of fragmentation quality after the prediction positive penetrating steel target target of the EFP of variable cross-section containing cavity - Google Patents

The method of fragmentation quality after the prediction positive penetrating steel target target of the EFP of variable cross-section containing cavity Download PDF

Info

Publication number
CN110442957A
CN110442957A CN201910702099.2A CN201910702099A CN110442957A CN 110442957 A CN110442957 A CN 110442957A CN 201910702099 A CN201910702099 A CN 201910702099A CN 110442957 A CN110442957 A CN 110442957A
Authority
CN
China
Prior art keywords
efp
target
indicate
indicates
formula
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.)
Withdrawn
Application number
CN201910702099.2A
Other languages
Chinese (zh)
Inventor
邢柏阳
侯云辉
郭锐
杨永亮
江琳
刘荣忠
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.)
Nanjing Tech University
Original Assignee
Nanjing Tech 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 Nanjing Tech University filed Critical Nanjing Tech University
Priority to CN201910702099.2A priority Critical patent/CN110442957A/en
Publication of CN110442957A publication Critical patent/CN110442957A/en
Withdrawn legal-status Critical Current

Links

Classifications

    • F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
    • F41—WEAPONS
    • F41J—TARGETS; TARGET RANGES; BULLET CATCHERS
    • F41J5/00—Target indicating systems; Target-hit or score detecting systems
    • F41J5/24—Targets producing a particular effect when hit, e.g. detonation of pyrotechnic charge, bell ring, photograph
    • F41J5/26—Targets producing a particular effect when hit, e.g. detonation of pyrotechnic charge, bell ring, photograph exploding or disintegrating when hit

Landscapes

  • Engineering & Computer Science (AREA)
  • General Engineering & Computer Science (AREA)
  • Extrusion Of Metal (AREA)

Abstract

The invention discloses a kind of methods of fragmentation quality after prediction positive penetrating steel target target of the EFP of variable cross-section containing cavity, on the basis of considering EFP containing cavity, variable cross-section characteristic, based on Newton's second law, A-T model and Adiabatic Shear theory, the method for fragmentation quality after calculating the positive penetrating steel target target of EFP is given.The method that the present invention provides, can for assess Terminal munition damage effectiveness and instruct the design of protective device to provide reference frame.

Description

The method of fragmentation quality after the prediction positive penetrating steel target target of the EFP of variable cross-section containing cavity
Technical field
The present invention relates to fragmentations after target to be distributed field, and in particular to a kind of prediction explosively formed projectile of variable cross-section containing cavity (EFP) after positive penetrating steel target target fragmentation quality method.
Background technique
EFP is the key components of Terminal munition warhead strike ground armored target top plating.EFP Penetration target plate Afterwards, can the target plate back side formed fragmentation cloud, in protective device instrument and occupant cause destructive strike.Fragmentation cloud after target Consist of two parts, is the fragmentation that target plate extrusion body generates and the fragmentation that EFP nubbin generates, analysis and research target respectively The quality of fragmentation is for assessing the damage effectiveness of Terminal munition and the design of protective device being instructed to have weight after the target that plate and EFP are generated The meaning wanted.
The method of Wang Xin service test in " the aftereffect fragmentation cloud experimental study of explosively formed projectile penetrating steel target " text The quality of fragmentation after the positive penetration steel sheet target of EFP is analyzed, but does not provide the quality that a kind of theoretical method calculates fragmentation after target.Xing Bai Sun proposes a kind of calculate in " fragmentation quality model after variable cross-section EFP Penetration target plate target " text has variable cross-section characteristic The positive penetrating steel target target of EFP after fragmentation quality model, show that variable cross-section characteristic has a significant impact to fragmentation quality after target, still The method does not consider characteristic of the EFP containing cavity.Therefore the present invention is based on the bases of above-mentioned paper, it is contemplated that EFP is containing cavity Characteristic, obtained it is a kind of prediction the positive penetrating steel target target of the EFP of variable cross-section containing cavity after fragmentation quality method.
Summary of the invention
The purpose of the present invention is to provide a kind of sides of fragmentation quality after prediction positive penetrating steel target target of the EFP of variable cross-section containing cavity Method can consider EFP containing cavity and variable cross-section at the same time based on Newton's second law, A-T model and Adiabatic Shear theory Characteristic, and predict fragmentation quality after the positive penetrating steel target target of EFP.
The technical solution for realizing the aim of the invention is as follows: after a kind of positive penetrating steel target target of prediction variable cross-section containing cavity EFP The method of fragmentation quality, comprising the following steps:
Step 1, the geomery for analyzing EFP establish the meter of the non-ablation part acceleration of EFP according to Newton's second law Calculate model；
Step 2, according to A-T model, establish the computation model of EFP ablation speed and the computation model of EFP Penetration Speed；
Step 3, the computation model for establishing EFP reaming speed；
Step 4, the critical condition according to Adiabatic Shear theory, when acquisition extrusion body is formed；
Fragmentation quality and EFP are generated after step 5, the target generated according to the parameter of critical condition in step 4, acquisition target plate Fragmentation quality after target.
Compared with prior art, the present invention at least has the advantages that
(1) consider that EFP contains cavity and variable cross-section characteristic simultaneously, so that model more closer to reality, while enumerating not The case where considering when EFP contains cavity or variable cross-section characteristic.
(2) compared to test and emulation, cavity and variable cross-section characteristic can be contained from theoretical level analysis to fragmentation matter after target The essential reason influenced is measured, more economically, quickly obtains key parameter.
Detailed description of the invention
Fig. 1 is the method flow diagram of fragmentation quality after the present invention prediction positive penetrating steel target target of the EFP of variable cross-section containing cavity.
Fig. 2 is the shape and scale bar of certain EFP in embodiment, certain complete EFP can be rotated by certain EFP in figure around chain-dotted line 360 ° obtain.
Fig. 3 is Penetration schematic diagram in embodiment.
Fig. 4 is each parameters relationship schematic diagram that extrusion body forms the moment in embodiment.
Specific embodiment
In conjunction with Fig. 1, fragmentation quality after a kind of prediction explosively formed projectile of variable cross-section containing cavity (EFP) just penetrating steel target target Method acquires EFP image by laser high-speed camera, obtains laser high-speed photographic image, comprising the following steps:
Step 1, the geomery for analyzing EFP establish the meter of the non-ablation part acceleration of EFP according to Newton's second law Model is calculated, step 2 is transferred to.
The specific computation model of the non-ablation part acceleration of EFP is as follows:
In formula (1), v indicates the speed of the non-ablation part EFP；T indicates penetration time, the penetration since the t=0 moment；Yp Indicate the intensity factor of EFP；riIndicate the l of EFPiLocate outer profile cross sectional radius；liIndicate at i-th of discrete point with the tail portion EFP Distance；I indicates the discrete point serial number from the tail portion EFP, and discrete point is obtained and identifying to laser high-speed photographic image；ρp Indicate the density of EFP；r′iFor the radius of chamber portion；Distance between any two are discrete on dl expression EFP, i is sufficiently large, dl =li+1-li<<l；The length of the l expression non-ablation part EFP.
The non-ablation part acceleration of EFP can describe the non-ablation partial velocity variation speed of EFP.
Step 2, according to A-T model, establish the computation model of EFP ablation speed and the computation model of EFP Penetration Speed, turn Enter step 3.
The specific computation model of EFP ablation speed is as follows:
In formula (2), u indicates the Penetration Speed of EFP；As u≤0, penetration stops.
EFP ablation speed can reflect the loss speed of EFP length during penetrating steel target.
The specific computation model of EFP Penetration Speed is as follows:
In formula (3), ρtIndicate the density of target plate；RtIndicate the intensity factor of target plate.
EFP Penetration Speed can reflect EFP during penetrating steel target EFP- target plate interface with EFP directional velocity The speed that identical side boosts.
Step 3, the computation model for establishing EFP reaming speed, are transferred to step 4.
When EFP has just contacted target plate, the radial pressure p of initial reaming0Calculation method such as formula (4),
In formula (4), v0Indicate EFP hit velocity；u0Indicate the Penetration Speed at t=0 moment.
In EFP Penetration, the relationship such as formula (5) of the radial pressure p and penetration hole (mushroom head) radius R of reaming,
Wherein, r indicates the EFP outer profile section radius at the non-ablation part EFP and ablation part interface.
In EFP Penetration, the radial pressure of reaming is generated by target plate, and the radial pressure p of reaming also can be by formula (6) table Show,
Joint type (4), (5), (6) available EFP reaming speed specific computation model such as formula (7),
The radius of EFP chamber portion at the non-ablation part r ' expression EFP and ablation part interface.
EFP reaming speed can reflect EFP during penetrating steel target EFP- target plate interface with EFP directional velocity The speed that vertical side boosts.
Step 4, according to Adiabatic Shear theory, obtain extrusion body formation when critical condition, be transferred to step 5.
Extrusion body forms the moment, and the axial shearing force that target plate is subject to is equal with axial force of the EFP to target plate, formula (8) It sets up,
In formula (8), HcIndicate the height of extrusion body when the formation of extrusion body；RcIndicate penetration hole (the mushroom when formation of extrusion body Head) radius；τmaxIndicate the peak shear strength of target plate；ucIndicate the Penetration Speed of EFP when the formation of extrusion body.
The calculation method of the peak shear strength of target plate such as formula (9), (10), (11),
Formula (9), (10), in (11), τ0When indicating γ=1, the shear strength of material；γ indicates shearing strain；N indicates material Strain hardening exponent；Indicate average shear strain rate；Q and q ' indicates the strain rate Sensitivity Index of material；α indicates stress Temperature coefficient of softing；β indicates that moulding function is converted into the proportionality coefficient of heat；CvIndicate the specific heat at constant volume of material.
The concrete form such as formula (12) of critical condition when the formation of extrusion body,
Pc+Hc-H0-Rc=0 (12)
In formula (12), PcIndicate the Penetration Depth of EFP when the formation of extrusion body；H0Indicate target plate thickness.
The calculation method such as formula (13) of the Penetration Depth of EFP when the formation of extrusion body,
In formula (13), tcIndicate the penetration time when formation of extrusion body.
The Penetration Depth of explosively formed projectile, extrusion body when critical condition when the formation of extrusion body includes the formation of extrusion body Height, the quantitative relationship of penetration hole (mushroom head) radius and target plate thickness.
Step 5, the result parameter obtained according to step 4 can be obtained fragmentation quality and EFP generation after the target of target plate generation Target after fragmentation quality.
Fragmentation quality m after the target that target plate generatestSuch as formula (14),
After the target that target plate generates fragmentation quality can reflect after the positive penetrating steel target target of EFP included in fragmentation cloud from The quality of the fragmentation of target plate.
Fragmentation quality m after the target that EFP is generatedpSuch as formula (15),
In formula (15), lhIndicate the length of EFP chamber portion, lcIndicate the length of the non-ablation part EFP when the formation of extrusion body Degree.
After the target that EFP is generated fragmentation quality can reflect after the positive penetrating steel target target of EFP included in fragmentation cloud from The quality of the fragmentation of EFP.
Above-mentioned steps 1, step 2 and step 3 can sequentially exchange, and can also carry out simultaneously.
Embodiment 1
With reference to the accompanying drawing and specific implementation case further introduces the present invention, it is clear that described implementation Case is only a certain specific implementation case of the invention, and those of ordinary skill in the art are not making creative work premise Under every other case study on implementation obtained, shall fall within the protection scope of the present invention.
Case study on implementation of the present invention disclose it is a kind of prediction the positive penetrating steel target target of the EFP of variable cross-section containing cavity after fragmentation quality side Method is as follows:
Step 1, according to fig. 2 in certain EFP shape and scale bar, obtain the r of certain EFPiAnd liMathematical relationship, discrete point It wants enough, guarantees that i wants sufficiently large, so that dl=li+1-li<<l.EFP, the material parameter of target plate are as shown in table 1.
The material parameter and primary condition of table 1 certain EFP, target plate
According to Newton's second law, the computation model of the non-ablation part acceleration of certain EFP is established, step 2 is transferred to；
Step 2, according to A-T model, establish the computation model of certain EFP ablation speed and the calculating mould of certain EFP Penetration Speed Type is transferred to step 3；
Step 3, in conjunction with Fig. 3, establish the computation model of certain EFP reaming speed, be transferred to step 4；
Step 4 obtains the critical condition when formation of extrusion body, is transferred to step 5 in conjunction with Fig. 4 according to Adiabatic Shear theory；
Step 5, the result parameter obtained according to step 4, fragmentation quality is 1314.0g after can be obtained the target of target plate generation Fragmentation quality is 463.9g after the target generated with certain EFP.

Claims (7)

1. a kind of method of fragmentation quality after prediction positive penetrating steel target target of the EFP of variable cross-section containing cavity, which is characterized in that step is such as Under:
Step 1, the geomery for analyzing EFP establish the calculating mould of the non-ablation part acceleration of EFP according to Newton's second law Type；
Step 2, according to A-T model, establish the computation model of EFP ablation speed and the computation model of EFP Penetration Speed；
Step 3, the computation model for establishing EFP reaming speed；
Step 4, the critical condition according to Adiabatic Shear theory, when acquisition extrusion body is formed；
The target that fragmentation quality and EFP are generated after step 5, the target generated according to the parameter of the critical condition in step 4, acquisition target plate Fragmentation quality afterwards.
2. the method for fragmentation quality, special after the prediction positive penetrating steel target target of the EFP of variable cross-section containing cavity according to claim 1 Sign is: above-mentioned steps 1, step 2 and step 3 can sequentially exchange.
3. the method for fragmentation quality after the prediction positive penetrating steel target target of the EFP of variable cross-section containing cavity according to claim 1 or 2, It is characterized in that, analyzing the geomery of EFP in step 1, according to Newton's second law, the non-ablation part acceleration of EFP is established Computation model, it is specific as follows:
The specific computation model of the non-ablation part acceleration of EFP is as follows:
In formula (1), v indicates the speed of the non-ablation part EFP；T indicates penetration time, the penetration since the t=0 moment；YpIt indicates The intensity factor of EFP；I indicates the discrete point serial number from the tail portion EFP；riIndicate the l of EFPiLocate outer profile cross sectional radius；li It indicates at i-th of discrete point at a distance from the tail portion EFP；ρpIndicate the density of EFP；r′iAt i-th of discrete point of EFP chamber portion Radius；Dl indicates the distance on EFP between any two adjacent discrete point, and i is sufficiently large, dl=li+1-li<<l；L indicates EFP not The length of ablation part.
4. the method for fragmentation quality after the prediction positive penetrating steel target target of the EFP of variable cross-section containing cavity according to claim 1 or 2, It is characterized in that, according to A-T model, establishing the computation model of EFP ablation speed and the calculating mould of EFP Penetration Speed in step 2 Type, specific as follows:
Wherein the computation model of EFP ablation speed is as follows:
In formula (2), u indicates the Penetration Speed of EFP；As u≤0, penetration stops；V indicates the speed of the non-ablation part EFP, dl table Show the distance on EFP between any two adjacent discrete point；
The computation model of EFP Penetration Speed is as follows:
In formula (3), ρtIndicate the density of target plate；RtIndicate the intensity factor of target plate；ρpIndicate the density of EFP.
5. the method for fragmentation quality after the prediction positive penetrating steel target target of the EFP of variable cross-section containing cavity according to claim 1 or 2, It is characterized in that, the computation model of EFP reaming speed is established in step 3, it is specific as follows:
When EFP has just contacted target plate, the radial pressure p of initial reaming0Such as formula (4),
In formula (4), v0Indicate the hit velocity of EFP；u0Indicate the Penetration Speed at t=0 moment；YpIndicate the intensity factor of EFP；
In EFP Penetration, the relationship such as formula (5) of the radial pressure p and penetration hole, that is, mushroom head radius R of reaming
Wherein, r indicates the EFP outer profile section radius at the non-ablation part EFP and ablation part interface；
In EFP Penetration, the radial pressure of reaming is generated by target plate, and the radial pressure p of reaming can also be indicated by formula (6),
Wherein, ρtIndicate the density of target plate；RtIndicate the intensity factor of target plate；
Joint type (4), (5), (6) obtain the specific computation model such as formula (7) of EFP reaming speed,
Wherein, the radius of the EFP chamber portion at the non-ablation part r ' expression EFP and ablation part interface, ρpIndicate EFP's Density.
6. the method for fragmentation quality, special after the prediction positive penetrating steel target target of the EFP of variable cross-section containing cavity according to claim 1 Sign is, in step 4, according to Adiabatic Shear theory, obtains the critical condition when formation of extrusion body, specific as follows:
Extrusion body forms the moment, and the axial shearing force that target plate is subject to is equal with axial force of the EFP to target plate, and formula (8) is set up,
In formula (8), HcIndicate the height of extrusion body when the formation of extrusion body；RcIndicate the radius in penetration hole when the formation of extrusion body；τmax Indicate the peak shear strength of target plate；ucIndicate the Penetration Speed of EFP when the formation of extrusion body；ρtIndicate the density of target plate；RtIt indicates The intensity factor of target plate；
The peak shear strength τ of target platemaxSuch as formula (9), (10), (11),
Formula (9), (10), in (11), τ0When indicating γ=1, the shear strength of material；γ indicates shearing strain；N indicates answering for material Become hardenability value；Indicate average shear strain rate；Q and q ' indicates the strain rate Sensitivity Index of material；The temperature of α expression stress Coefficient of softing；β indicates that moulding function is converted into the proportionality coefficient of heat；CvIndicate the specific heat at constant volume of material；U indicates invading for EFP Thorough speed；R is the radius in penetration hole；
The concrete form such as formula (12) of critical condition when the formation of extrusion body
Pc+Hc-H0-Rc=0 (12)
In formula (12), PcIndicate the Penetration Depth of EFP when the formation of extrusion body；H0Indicate target plate thickness；
The Penetration Depth P of EFP when the formation of extrusion bodycSuch as formula (13),
In formula (13), tcIndicate the penetration time when formation of extrusion body, t indicates the penetration time.
7. the method for fragmentation quality, special after the prediction positive penetrating steel target target of the EFP of variable cross-section containing cavity according to claim 1 Sign is, in step 5, according to the parameter of critical condition in step 4, obtains fragmentation quality and EFP generation after the target that target plate generates Target after fragmentation quality, it is specific as follows:
Fragmentation quality m after the target that target plate generatestSuch as formula (14),
Wherein, ρtIndicate the density of target plate, HcIndicate the height of extrusion body when the formation of extrusion body；RcIt indicates to invade when the formation of extrusion body The radius in thorough hole；
Fragmentation quality m after the target that EFP is generatedpSuch as formula (15),
In formula (15), lhIndicate the length of EFP chamber portion, ρpIndicate the density of EFP；r′iIt is discrete for i-th of EFP chamber portion Radius at point；Dl indicates the distance on EFP between any two adjacent discrete point, and i is sufficiently large, dl=li+1-li<<l；L is indicated The length of the non-ablation part EFP；lcIndicate the length of the non-ablation part EFP when the formation of extrusion body；R indicates the non-ablation part EFP With the EFP outer profile section radius at the interface of ablation part.
CN201910702099.2A 2019-07-31 2019-07-31 The method of fragmentation quality after the prediction positive penetrating steel target target of the EFP of variable cross-section containing cavity Withdrawn CN110442957A (en)

Priority Applications (1)

Application Number Priority Date Filing Date Title
CN201910702099.2A CN110442957A (en) 2019-07-31 2019-07-31 The method of fragmentation quality after the prediction positive penetrating steel target target of the EFP of variable cross-section containing cavity

Applications Claiming Priority (1)

Application Number Priority Date Filing Date Title
CN201910702099.2A CN110442957A (en) 2019-07-31 2019-07-31 The method of fragmentation quality after the prediction positive penetrating steel target target of the EFP of variable cross-section containing cavity

Publications (1)

Publication Number Publication Date
CN110442957A true CN110442957A (en) 2019-11-12

Family

ID=68432558

Family Applications (1)

Application Number Title Priority Date Filing Date
CN201910702099.2A Withdrawn CN110442957A (en) 2019-07-31 2019-07-31 The method of fragmentation quality after the prediction positive penetrating steel target target of the EFP of variable cross-section containing cavity

Country Status (1)

Country Link
CN (1) CN110442957A (en)

Cited By (2)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN113650374A (en) * 2021-09-06 2021-11-16 北京理工大学 Ship side flexible anti-fragment penetration layer and manufacturing method thereof
CN114048421A (en) * 2021-03-26 2022-02-15 南京理工大学 Fragment penetration target plate data processing method

Cited By (3)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN114048421A (en) * 2021-03-26 2022-02-15 南京理工大学 Fragment penetration target plate data processing method
CN113650374A (en) * 2021-09-06 2021-11-16 北京理工大学 Ship side flexible anti-fragment penetration layer and manufacturing method thereof
CN113650374B (en) * 2021-09-06 2023-02-28 北京理工大学 Ship side flexible anti-fragment penetration layer and manufacturing method thereof

Similar Documents

Publication Publication Date Title
Tørnqvist Design of crashworthy ship strucures
CN110442957A (en) The method of fragmentation quality after the prediction positive penetrating steel target target of the EFP of variable cross-section containing cavity
CN107742006B (en) Method for calculating limit speed of sheet steel trajectory under low-speed forward penetration of flat-head hollow bullet
Ren et al. Dynamic shear fracture of an explosively-driven metal cylindrical shell
Rosenberg et al. The effective strength of metallic plates perforated by rigid projectiles
CN106383172A (en) Surrounding rock damage prediction method based on energy release coefficient
CN105324537A (en) Method of and driver for installing foundation elements in a ground formation
Bohanek et al. The efficiency of linear shaped charges
Lu et al. Hypervelocity penetration of concrete targets with long-rod steel projectiles: experimental and theoretical analysis
CN116305640A (en) Ship cabin structure fragment damage evaluation model establishment method
CN115422750A (en) Test method for obtaining relation between bullet speed and penetration depth of rigid bullet body
Chen et al. A new analytical model for the low-velocity perforation of thin steel plates by hemispherical-nosed projectiles
Rosenberg et al. On the deep penetration and plate perforation by rigid projectiles
Anderson Jr et al. Scale model experiments with ceramic laminate targets
Chen et al. Ballistic resistance analysis of double-layered composite material structures
Ibrahim et al. Numerical study of 2024 T3 aluminum plates subjected to impact and perforation
Xu et al. Effect of projectile parameters on opening behavior of PELE penetrating RC target
US5357796A (en) Ballistics measuring system
Janbakhsh et al. Anisotropy induced biaxial stress-strain relationships in aluminum alloys
CN114091371A (en) Prefabricated fragment dispersion angle calculation method and system considering fragment relative position
CN107526877A (en) A kind of analogy method for cutting down residual stress
CN110823028B (en) Method for optimally controlling bench blasting width of surface mine
Guirgis et al. An energy approach study of the penetration of concrete by rigid missiles
Anvari et al. Dynamic ductile fracture in aluminum round bars: experiments and simulations
CN109783760B (en) Method for calculating initial speed of explosion and collapse fragments of reinforced concrete target plate

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
WW01 Invention patent application withdrawn after publication
WW01 Invention patent application withdrawn after publication

Application publication date: 20191112