CN111859599A - Design method of lamination scheme for laminating doped or composite materials - Google Patents

Design method of lamination scheme for laminating doped or composite materials Download PDF

Info

Publication number
CN111859599A
CN111859599A CN201910331624.4A CN201910331624A CN111859599A CN 111859599 A CN111859599 A CN 111859599A CN 201910331624 A CN201910331624 A CN 201910331624A CN 111859599 A CN111859599 A CN 111859599A
Authority
CN
China
Prior art keywords
level
repeated
combination
substrate
wym
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.)
Pending
Application number
CN201910331624.4A
Other languages
Chinese (zh)
Inventor
王玉漫
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.)
Individual
Original Assignee
Individual
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 Individual filed Critical Individual
Priority to CN201910331624.4A priority Critical patent/CN111859599A/en
Publication of CN111859599A publication Critical patent/CN111859599A/en
Pending legal-status Critical Current

Links

Images

Landscapes

  • Laminated Bodies (AREA)

Abstract

The invention discloses a design method of a lamination scheme for laminating doped or composite materials, which belongs to the field of doped materials and composite materials, and does not have a clear and convenient design method for the lamination scheme for laminating doped or composite materials.

Description

Design method of lamination scheme for laminating doped or composite materials
The invention belongs to the field of materials, relates to a doped material and a composite material, and particularly relates to a design method of a lamination scheme for laminating the doped or composite material.
The atomic layer deposition technology is a technology that precursor gas and reaction gas enter a substrate alternately at a controllable speed, physical and chemical adsorption or surface saturation reaction is carried out on the surface of the substrate, and substances are deposited on the surface of the substrate layer by layer in the form of a monatomic film. Only one monoatomic film of one material can be grown at a time. When different materials are laminated and doped by the technology similar to atomic layer deposition, the laminated scheme design needs to be carried out on the doped materials in order to achieve the material performance required by the process.
One class of composite materials is called laminated composite materials, such as magnetic multilayer film materials, and different materials are alternately laminated together to exert respective advantages, overcome the defects of a single material and expand the application range of the material. When different materials are laminated and compounded, in order to fully exert the advantages of the respective materials and eliminate the defects as much as possible, the laminated scheme design of the composite materials is needed.
The invention provides a design method of a lamination scheme of a laminated doped or composite material, so that the laminated doped material can meet the material performance required by the process, the laminated composite material can give full play to the advantages, and the defects can be eliminated as far as possible.
A new mathematical operation, named WYM operation, is first defined. The design of the layer stack scheme is designed by means of this calculation and other method steps.
(1)
Figure RE-GSB0000183617250000011
(2)
Figure RE-GSB0000183617250000012
The WYM operation has stretch-shrink and expansion-compression properties, designated WYM properties 1 and WYM properties 2, and derives the WYM formula. (WYM Property 1 is demonstrated in appendix 1, WYM Property 2 is demonstrated in appendix 2, and the derivation of the WYM formula is shown in appendix 3)
WYM property 1:
Figure RE-GSB0000183617250000013
WYM properties 2:
Figure RE-GSB0000183617250000021
WYM formula:
Figure RE-GSB0000183617250000022
Figure RE-GSB0000183617250000023
a method of designing a lamination scheme for laminating a doped or composite material, comprising the steps of:
(1) Assuming that n materials are designed by a lamination scheme, a marking value is made for each material, so that n materials obtain n marking values and are written into
Figure RE-GSB0000183617250000024
The first material indicia value at the first row position is referred to as the primary indicia value and the second material indicia value at the second row position is referred to as the secondary indicia value …; a and B represent real numbers and represent numerical values with decimal numbers, wherein A < a < A +1 and B < B < B +1 exist; a and B represent integers. A and A +1 are called two process substrates of a first-level marking value a; b and B +1 are called two process bases of a secondary mark value B; … …
(2) The score table is established, and the score table in any range can be established.
(3)
Figure RE-GSB0000183617250000025
And
Figure RE-GSB0000183617250000026
is the adjacent score in the score table.
Figure RE-GSB0000183617250000027
And
Figure RE-GSB0000183617250000028
is the adjacent score in the score table.
Figure RE-GSB0000183617250000029
Look up the score table to obtain
Figure RE-GSB00001836172500000210
C, D, E, F, J, H, I, J, K, L, M, N represent integers.
(4) The values of X, Y, U and V can be calculated through a linear equation of two.
Figure RE-GSB00001836172500000211
Figure RE-GSB00001836172500000212
……
Figure RE-GSB00001836172500000213
And
Figure RE-GSB00001836172500000214
a pre-process substrate referred to as a;
Figure RE-GSB00001836172500000215
and
Figure RE-GSB00001836172500000216
a pre-process substrate … … designated b;
Figure RE-GSB0000183617250000031
a pre-process coefficient referred to as a;
Figure RE-GSB0000183617250000032
pre-process coefficient referred to as b … …
(5) Using the WYM formula and the WYM properties 1 (derived in appendix 4)
Figure RE-GSB0000183617250000033
A and A +1 are referred to as the process substrate of a;
Figure RE-GSB0000183617250000034
process coefficient referred to as a.
(6) If it is
Figure RE-GSB0000183617250000035
Is not in the simplest form and is converted into the simplest form. Then applying WYM formula
Figure RE-GSB0000183617250000036
Or
Figure RE-GSB0000183617250000037
(7) If it is
Figure RE-GSB0000183617250000038
Or
Figure RE-GSB0000183617250000039
The front coefficient is not in the simplest form and is in the simplest form. Continuing to repeatedly apply WYM formula to stretch process coefficient until
Figure RE-GSB00001836172500000310
The front coefficient is controlled to be more than 0 and less than 10, and more than 0 and less than 10.
(8) Shrinking by using WYM property 1 to meet the thickness requirement of the doped material and the composite material, so as to obtain the required process coefficient of a in the corresponding form of
Figure RE-GSB00001836172500000311
(9) The process coefficient was extracted for each material index value to obtain the process table fig. 2. [ () () ] is referred to as the WYM unit.
(10) A first-stage combined substrate: combining the process substrates with the n material marking values into a first-level combined substrate; first-stage process combination: the process substrate with the first-level marking value is combined into a first-level process combination by different first-level combination substrates with the same form;
secondary composite substrate (primary process): adding a process coefficient of a first-level marking value to each first-level process combination to obtain a second-level combination substrate, or a first-level process;
the second-stage process combination: the process substrate with the secondary marking value is combined into a secondary process combination by different secondary combination substrates with the same form;
three-stage composite substrate (two-stage process): adding a process coefficient of a secondary marking value before each secondary process combination to obtain a tertiary combination substrate, or called a secondary process;
…………;
And (3) n-1 level process combination: the process substrate with the n-1 grade mark value is combined into an n-1 grade process combination from other n-1 grade combined substrates with the same form;
n-grade composite substrate (n-1-grade process): adding a process coefficient of an n-1 level mark value to each n-1 level process combination to obtain an n-level combination substrate, or an n-1 level process;
and (3) n-level process combination: the process substrate with the n-level marking value is combined into an n-level process combination from different n-level combination substrates with the same form;
and (2) n-stage process: and adding the process coefficient of the n-grade marking value to obtain the n-grade process before the n-grade process combination, namely forming the complete process of the n materials.
(11) Let e, g denote that the process substrate with n-grade mark value is different from two n-grade combined substrates with the same form, and the process coefficient with n-grade mark value is added to combine into one of n-grade processes, i.e.
Figure RE-GSB0000183617250000041
Get
Figure RE-GSB0000183617250000042
[e,g]For example, reading is performed using WYM property 1, starting from the last WYM cell, with successive unlocking (deduced in appendix 5).
Figure RE-GSB0000183617250000043
The n-level lamination scheme is
The first process comprises the following steps: the small process e is repeated for G times, the small process G is repeated for H times, and the whole process is repeated for C times;
and a second process: the small process e is repeated for I times, the small process g is repeated for J times, and the whole process is repeated for D times;
the process I and the process II are combined to form a large process I, and the large process I is repeated for A times;
And a third process: the small process E is repeated for G times, the small process G is repeated for H times, and the whole process is repeated for E times;
and a fourth process: the small process e is repeated for I times, the small process g is repeated for J times, and the whole process is repeated for F times;
and the third process and the fourth process are combined into a second large process, and the second large process is repeated for B times.
Drawings
Figure 1 is a schematic diagram of two simple stacking schemes.
Fig. 2 is a process table formed after the extraction of the process coefficients is performed for the n index values.
Fig. 3 is a table of scores ranging from 0 to 1, where denominator and numerator are integers from 1 to 10.
FIG. 4 is a drawing showing
Figure RE-GSB0000183617250000044
And extracting the process coefficients of the three marked values to form a process table.
Detailed Description
Three materials are designed for a lamination scheme, and three mark values are written as
Figure RE-GSB0000183617250000045
A score table is established where denominator and numerator are integers from 1 to 10, and a score table in the range of 0 to 1 is established in FIG. 3.
Look-up table to obtain
Figure RE-GSB0000183617250000046
Derived by WYM operation (derivation in appendix 6)
Figure RE-GSB0000183617250000047
Figure RE-GSB0000183617250000048
Figure RE-GSB0000183617250000049
Obtain the attached diagram of the process table 4
A first-stage combined substrate:
Figure RE-GSB0000183617250000051
first-stage process combination:
Figure RE-GSB0000183617250000052
secondary combined substrate/primary process:
Figure RE-GSB0000183617250000053
Figure RE-GSB0000183617250000054
Figure RE-GSB0000183617250000055
Figure RE-GSB0000183617250000056
the second-stage process combination: (e, g), (f, h)
Three-stage combined substrate/two-stage process:
Figure RE-GSB0000183617250000057
three-stage process combination: (i, j)
Three-stage process/complete process:
Figure RE-GSB0000183617250000058
read by backward push of WYM Property 1 (derivation see appendix 7)
First level process read
Figure RE-GSB0000183617250000059
Figure RE-GSB00001836172500000510
Figure RE-GSB00001836172500000511
Figure RE-GSB00001836172500000512
Figure RE-GSB00001836172500000513
Figure RE-GSB0000183617250000061
Figure RE-GSB0000183617250000062
Figure RE-GSB0000183617250000063
Two stage process reading
i=5[3(3e+5g)+(e+2g)]+[4(3e+5g)+(e+2g)]
j=5[3(3f+5h)+(f+2h)]+[4(3f+5h)+(f+2h)]
Three-level process reading
k=3[9(5i+6j)+(9i+11j)]+19[10(5i+6j)+(9i+11j)]
And obtaining a laminated design scheme to manufacture materials.
The first-level lamination scheme e is a process I: making 5 layers of the material A, making 6 layers of the material B, making 4 layers of the material C, repeating the steps for 2 times, making 5 layers of the material A, making 6 layers of the material B, making 4 layers of the material C, and repeating the steps for 7 times according to the making method; making 5 layers of the material A, making 6 layers of the material B, making 4 layers of the material C, repeating the steps for 5 times, making 5 layers of the material A, making 6 layers of the material B, making 4 layers of the material C, repeating the steps for 3 times, and repeating the steps for 3 times according to the making mode; the first process was cycled for 6 times. And a second process: making 5 layers of the material A, making 6 layers of the material B, making 4 layers of the material C, repeating the steps for 2 times, making 5 layers of the material A, making 6 layers of the material B, making 4 layers of the material C, and repeating the steps for 9 times according to the making method; making 5 layers of the material A, making 6 layers of the material B, making 4 layers of the material C, repeating the steps for 5 times, making 5 layers of the material A, making 6 layers of the material B, making 4 layers of the material C, repeating the steps for 3 times, and repeating the steps for 4 times according to the making mode; and the second process is circulated for 5 times. The first-order lamination scheme f, g, h is similar to the first-order lamination scheme e.
The second-level lamination scheme i is a first process: the first-level lamination scheme e is repeated for 3 times, the first-level lamination scheme g is repeated for 5 times, and the whole is repeated for 3 times; and a second process: the first-level lamination scheme e is repeated for 1 time, and the first-level lamination scheme g is repeated for 2 times; the process I and the process II are combined into a large process I, and the large process I is repeated for 5 times. And a third process: the first-level lamination scheme e is repeated for 3 times, the first-level lamination scheme g is repeated for 5 times, and the whole process is repeated for 4 times; and a fourth process: the first-level lamination scheme e is repeated for 1 time, and the first-level lamination scheme g is repeated for 2 times; and the third process and the fourth process are combined into a second large process. The secondary stacking scheme j is similar to the secondary stacking scheme i.
The three-level lamination scheme k is a process one: the second-level lamination scheme i is repeated for 5 times, the second-level lamination scheme j is repeated for 6 times, and the whole process is repeated for 9 times; and a second process: the secondary stacking scheme i is repeated 9 times, and the secondary stacking scheme j is repeated 11 times; the process I and the process II are combined into a large process I, and the large process I is repeated for 3 times. A third process; the second-level lamination scheme i is repeated for 5 times, the second-level lamination scheme j is repeated for 6 times, and the whole process is repeated for 10 times; and a fourth process: the secondary stacking scheme i is repeated 9 times, and the small process j is repeated 11 times; and synthesizing a large process II by the process III and the process four, and repeating the large process II 19 times.
Appendix 1
WYM Property 1 demonstration
Figure RE-GSB0000183617250000071
Figure RE-GSB0000183617250000072
Figure RE-GSB0000183617250000073
Therefore:
Figure RE-GSB0000183617250000074
appendix 2
WYM Property 2 demonstration
Figure RE-GSB0000183617250000075
Figure RE-GSB0000183617250000081
Figure RE-GSB0000183617250000082
Figure RE-GSB0000183617250000083
Therefore:
Figure RE-GSB0000183617250000084
appendix 3
WYM formula derivation
Figure RE-GSB0000183617250000085
Thus, it is possible to provide
Figure RE-GSB0000183617250000086
Figure RE-GSB0000183617250000087
Figure RE-GSB0000183617250000091
Thus, it is possible to provide
Figure RE-GSB0000183617250000092
Appendix 4
Figure RE-GSB0000183617250000093
Appendix 5
Figure RE-GSB0000183617250000094
Appendix 6
Figure RE-GSB0000183617250000095
Figure RE-GSB0000183617250000096
x=87,y=38
Figure RE-GSB0000183617250000101
Figure RE-GSB0000183617250000102
Figure RE-GSB0000183617250000103
Figure RE-GSB0000183617250000104
Figure RE-GSB0000183617250000105
Figure RE-GSB0000183617250000106
Figure RE-GSB0000183617250000107
x=19,y=6
Figure RE-GSB0000183617250000108
Figure RE-GSB0000183617250000109
Figure RE-GSB00001836172500001010
Figure RE-GSB0000183617250000111
Figure RE-GSB0000183617250000112
x=239,y=261
Figure RE-GSB0000183617250000113
Figure RE-GSB0000183617250000114
Figure RE-GSB0000183617250000115
Figure RE-GSB0000183617250000116
Figure RE-GSB0000183617250000117
Figure RE-GSB0000183617250000118
Appendix 7
Figure RE-GSB0000183617250000119
Figure RE-GSB0000183617250000121
Figure RE-GSB0000183617250000122
Figure RE-GSB0000183617250000123
Figure RE-GSB0000183617250000124
Figure RE-GSB0000183617250000131
Figure RE-GSB0000183617250000132
Figure RE-GSB0000183617250000133
Figure RE-GSB0000183617250000134

Claims (4)

1. A method of designing a lamination scheme for laminating a doped or composite material, characterized by: the method comprises the steps of extracting process coefficients from material marking values by constructing a new mathematical form, then combining process bases, and finally presenting a lamination scheme through the new mathematical form.
2. The extraction process factor of claim 1, wherein: first, the WYM operation is constructed
Figure RE-FSB0000182903420000011
Figure RE-FSB0000182903420000012
Thereby obtaining WYM property 1 and WYM property 2 and WYM formula; and then establishing a score table, wherein the decimal part of the material mark value is between two adjacent scores in the score table, obtaining a preliminary process coefficient by operation and application of WYM property 1 and WYM formulas, continuously extending the process coefficient by using the WYM formulas, and finally contracting the extended process coefficient by using the WYM property 1 so as to meet the requirements of the thickness of the doped material and the composite material. The process coefficients of the respective materials are obtained by this method.
3. The unitized process substrate of claim 1, wherein: making a marking value for each material, so that n materials obtain n marking values, which are written as
Figure RE-FSB0000182903420000013
The first material indicia value at the first row position is referred to as the primary indicia value and the second material indicia value at the second row position is referred to as the secondary indicia value …; a and B represent real numbers and represent numerical values with decimal numbers, wherein A < a < A +1 and B < B < B +1 exist; a and B represent integers. A and A +1 are called two process substrates of a first-level marking value a; b and B +1 are called two process bases of a secondary mark value B; two process substrates … … for C and C +1 with a tertiary index value of C
A first-stage combined substrate: combining the process substrates with the n material marking values into a first-level combined substrate;
first-stage process combination: the process substrate with the first-level marking value is combined into a first-level process combination by different first-level combination substrates with the same form;
secondary composite substrate (primary process): adding a process coefficient of a first-level marking value to each first-level process combination to obtain a second-level combination substrate, or a first-level process;
the second-stage process combination: the process substrate with the secondary marking value is combined into a secondary process combination by different secondary combination substrates with the same form;
three-stage composite substrate (two-stage process): adding a process coefficient of a secondary marking value before each secondary process combination to obtain a tertiary combination substrate, or called a secondary process;
............;
And (3) n-1 level process combination: the process substrate with the n-1 grade mark value is combined into an n-1 grade process combination from other n-1 grade combined substrates with the same form;
n-grade composite substrate (n-1-grade process): adding a process coefficient of an n-1 level mark value to each n-1 level process combination to obtain an n-level combination substrate, or an n-1 level process;
and (3) n-level process combination: the process substrate with the n-level marking value is combined into an n-level process combination from different n-level combination substrates with the same form;
and (2) n-stage process: and adding the process coefficient of the n-grade marking value to obtain the n-grade process before the n-grade process combination, namely forming the complete process of the n materials.
4. The presentation stacking scheme of claim 1 wherein: unlocking is performed continuously by using WYM property 1 from the last WYM unit. Let e, g denote that the process substrate with n-grade mark value is different from two n-grade combined substrates with the same form, and the process coefficient with n-grade mark value is added to combine into one of n-grade processes, i.e.
Figure RE-FSB0000182903420000021
[()()]Referred to as WYM units.
Get
Figure RE-FSB0000182903420000022
For example (derivation see appendix 5), read.
Figure RE-FSB0000182903420000023
The n-level lamination scheme is
The first process comprises the following steps: the small process e is repeated for G times, the small process G is repeated for H times, and the whole process is repeated for C times;
and a second process: the small process e is repeated for I times, the small process g is repeated for J times, and the whole process is repeated for D times;
The process I and the process II are combined to form a large process I, and the large process I is repeated for A times;
and a third process: the small process E is repeated for G times, the small process G is repeated for H times, and the whole process is repeated for E times;
and a fourth process: the small process e is repeated for I times, the small process g is repeated for J times, and the whole process is repeated for F times;
and the third process and the fourth process are combined into a second large process, and the second large process is repeated for B times.
CN201910331624.4A 2019-04-29 2019-04-29 Design method of lamination scheme for laminating doped or composite materials Pending CN111859599A (en)

Priority Applications (1)

Application Number Priority Date Filing Date Title
CN201910331624.4A CN111859599A (en) 2019-04-29 2019-04-29 Design method of lamination scheme for laminating doped or composite materials

Applications Claiming Priority (1)

Application Number Priority Date Filing Date Title
CN201910331624.4A CN111859599A (en) 2019-04-29 2019-04-29 Design method of lamination scheme for laminating doped or composite materials

Publications (1)

Publication Number Publication Date
CN111859599A true CN111859599A (en) 2020-10-30

Family

ID=72952062

Family Applications (1)

Application Number Title Priority Date Filing Date
CN201910331624.4A Pending CN111859599A (en) 2019-04-29 2019-04-29 Design method of lamination scheme for laminating doped or composite materials

Country Status (1)

Country Link
CN (1) CN111859599A (en)

Citations (4)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US20080260579A1 (en) * 2007-04-17 2008-10-23 Tesa Aktiengesellschaft Sheet-like material with hydrophilic and hydrophobic egions and their production
US20130240907A1 (en) * 2010-09-13 2013-09-19 Photonis France Electron multiplier device having a nanodiamond layer
CN104582592A (en) * 2012-03-28 2015-04-29 伊西康内外科公司 Tissue stapler having a thickness compensator incorporating a hydrophilic agent
CN106021654A (en) * 2016-05-09 2016-10-12 北京航空航天大学 A composite material layering scheme library establishing method taking layering compatibility into account

Patent Citations (4)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US20080260579A1 (en) * 2007-04-17 2008-10-23 Tesa Aktiengesellschaft Sheet-like material with hydrophilic and hydrophobic egions and their production
US20130240907A1 (en) * 2010-09-13 2013-09-19 Photonis France Electron multiplier device having a nanodiamond layer
CN104582592A (en) * 2012-03-28 2015-04-29 伊西康内外科公司 Tissue stapler having a thickness compensator incorporating a hydrophilic agent
CN106021654A (en) * 2016-05-09 2016-10-12 北京航空航天大学 A composite material layering scheme library establishing method taking layering compatibility into account

Non-Patent Citations (2)

* Cited by examiner, † Cited by third party
Title
吴亚茹;曹兴忠;李玉晓;张静;杨静;王胜;张鹏;于润升;王宝义;: "钐离子掺杂不同基质发光材料发光原理及性能的研究", 材料导报, no. 2, pages 229 - 233 *
王国政 等: "硅微通道板微加工技术研究", 《兵工学报》, vol. 39, no. 9, pages 1804 - 1810 *

Similar Documents

Publication Publication Date Title
Le Vine The Cameroons from mandate to independence
Macaulay Some properties of enumeration in the theory of modular systems
Banks Changing identities in modern Southeast Asia
Assaf et al. A Pieri rule for skew shapes
CN107679539A (en) A kind of single convolutional neural networks local message wild based on local sensing and global information integration method
Adams et al. Constructive symbolic presentations of rank one measure-preserving systems
CN111859599A (en) Design method of lamination scheme for laminating doped or composite materials
Yang et al. Understanding the Nuances of'Waishengren': History and Agency
Dyukarev Deficiency numbers of symmetric operators generated by block Jacobi matrices
Evans et al. Keeler's theorem and products of distinct transpositions
Reutenauer Christoffel words and Markoff triples
Tamizhmani et al. On the limits of discrete Painlevé equations associated with the affine Weyl group E8
Paal et al. 2D binary operadic Lax representation for harmonic oscillator
Launius Responding to Apollo: America’s Divergent Reactions to the Moon Landings
Birget Monoids that map onto the Thompson-Higman groups
Markowski et al. Duality and transformations in multiphase and sequential linear goal programming
Sasaki The subresultant and clusters of close roots
Blom The recording machine: art and fact during the Cold War
Marcum et al. Long box bracket operations in homotopy theory
Kiršteĭn et al. Invariant subrings of induced rings
David et al. Goodness-of-Fit Statistics: Comments on Abbe (1863)
Brakke Monks and the Hierarchical Church in Egypt and the Levant during Late Antiquity. By Ewa Wipszycka, with a chapter on Persian Christians in Late Antiquity by Adam Izdebski. Translated by Damian Jasiński. The Journal of Juristic Papyrology Supplements 40. Leuven: Peeters, 2021. xviii+ 497 pp.€ 95.00 cloth.
Kamizuru Possibilities for Anthropological Collaboration between Taiwan and Japan
Tischer et al. A new class of cyclic multistep formulae for stiff systems
Williams Atomic emission line wavelength calculations below 2000 angstroms for Lithium II through Cobalt XXVI

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