JPH06258299A - Measurement of crystal particle size - Google Patents
Measurement of crystal particle sizeInfo
- Publication number
- JPH06258299A JPH06258299A JP5043127A JP4312793A JPH06258299A JP H06258299 A JPH06258299 A JP H06258299A JP 5043127 A JP5043127 A JP 5043127A JP 4312793 A JP4312793 A JP 4312793A JP H06258299 A JPH06258299 A JP H06258299A
- Authority
- JP
- Japan
- Prior art keywords
- frequency
- ultrasonic
- ultrasonic wave
- grain size
- particle size
- 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
Abstract
Description
【０００１】[0001]
【産業上の利用分野】本発明は、鋼板等の結晶粒度を非
破壊で測定する方法に関する。BACKGROUND OF THE INVENTION 1. Field of the Invention The present invention relates to a method for nondestructively measuring the grain size of steel sheets and the like.
【０００２】[0002]
【従来の技術】鋼材などの結晶粒度は、その強度や靱性
などの機械的性質と密接な関係があるため、これを測定
することにより製品の品質保証および品質向上に役立て
ることが重要である。一般に鋼材などの結晶粒度の測定
は、製品の一部を抜き取り、これを研摩仕上げして腐食
させて試験片を作製し、腐食面に現れた結晶粒を顕微鏡
で観察して行われている。しかし、この方法では破壊測
定となるため、製品の全長にわたる測定ができないばか
りか、試験片の作製に多大な時間を要し、また顕微鏡観
察時に測定者の主観が入るため、信頼性に欠けるという
問題がある。2. Description of the Related Art The grain size of steel or the like has a close relationship with mechanical properties such as strength and toughness, and it is important to measure the grain size for use in quality assurance and quality improvement of products. Generally, the grain size of steel or the like is measured by extracting a part of a product, polishing and finishing the product to corrode a test piece, and observing the crystal grain appearing on the corroded surface with a microscope. However, since this method is destructive measurement, it is not possible to measure over the entire length of the product, it takes a lot of time to manufacture the test piece, and the subjectivity of the measurer during microscopic observation makes it unreliable. There's a problem.
【０００３】このため、被測定体内に伝播する超音波の
減衰量が結晶粒度によって変化することを利用した結晶
粒度の非破壊測定方法が、たとえば特公昭58− 31867号
公報や特開昭60− 35253号公報などに提案されている。
ここで、超音波減衰量を利用した結晶粒度の測定法の原
理について説明する。周波数ｆの超音波を鋼材などの被
測定体内に伝播させたとき、超音波音圧はその進行とと
もに減衰する。このとき単位進行距離当たりの減衰量を
減衰定数という。超音波の減衰する形態は、超音波の波
長をλ（＝Ｖ／ｆ；ここで、Ｖは被測定体内の超音波音
速）、被測定体の結晶粒度をＤとしたとき、両者の比λ
／Ｄの大小により異なる。すなわち、減衰定数αは、レ
イリー散乱領域であるλ／Ｄ≫１のときｆ4 に、またス
トカスティック散乱領域であるλ／Ｄ≒１のときにｆ3
に、さらに拡散散乱領域であるλ／Ｄ＜１のときｆ
2 に、それぞれ比例する関係にある。このうち、レイリ
ー散乱領域では、減衰定数αと周波数ｆ、結晶粒度Ｄと
の間に、 α＝ａ・Ｄ3 ・ｆ4 ……………(1) なる関係が成立する。ここで、ａは被測定体に固有の定
数である。したがって、周波数ｆの超音波により減衰定
数αを測定すれば、 Ｄ＝3 √｛α／（ａ・ｆ4 ）｝ ……………(2) により結晶粒度が求められる。このとき、λ／Ｄ（＝Ｖ
／（ｆ・Ｄ））≫１なるレイリー散乱領域を充たす超音
波周波数ｆで測定する必要があるが、被測定体の結晶粒
度Ｄは予めわからないので、何らかの工夫が必要であ
る。Therefore, a non-destructive measurement method of crystal grain size, which utilizes that the attenuation amount of ultrasonic waves propagating in the object to be measured changes depending on the crystal grain size, is disclosed in, for example, Japanese Patent Publication No. 58-31867. It is proposed in Japanese Patent No. 35253.
Here, the principle of the crystal grain size measuring method using the ultrasonic attenuation will be described. When an ultrasonic wave of frequency f is propagated in the body to be measured such as steel material, the ultrasonic sound pressure is attenuated as it progresses. At this time, the amount of attenuation per unit traveling distance is called the attenuation constant. The form of attenuation of ultrasonic waves is λ (= V / f; where V is the ultrasonic velocity in the measured object) and D is the crystal grain size of the measured object.
Depends on the size of / D. That is, the attenuation constant α is f 4 when the Rayleigh scattering region λ / D >> 1 and f 3 when the stochastic scattering region λ / D≈1.
In addition, when λ / D <1, which is the diffuse scattering region, f
The two are in proportion to each other. Of these, in the Rayleigh scattering region, the relationship α = a · D 3 · f 4 (1) holds between the attenuation constant α, the frequency f, and the crystal grain size D. Here, a is a constant unique to the object to be measured. Thus, by measuring the attenuation constant alpha by ultrasonic frequency f, grain size is determined by D = 3 √ {α / ( a · f 4)} ............... (2). At this time, λ / D (= V
/ (F · D) >> 1 is required to be measured at the ultrasonic frequency f that fills the Rayleigh scattering region, but the crystal grain size D of the measured object is not known in advance, so some kind of ingenuity is required.
【０００４】ところで、前記した特公昭58− 31867号の
方法は、超音波の周波数ｆを変化させて各周波数におけ
る減衰定数αを測定し、このαが2.0 dB/cm 以上になっ
たときの値を用いて、 α＝0.6 ×Ｄ3 ・ｆ4 ……………(3) なる関係式から結晶粒度Ｄを求めるものである。By the way, in the method of Japanese Patent Publication No. 58-31867, the attenuation constant α at each frequency is measured by changing the frequency f of the ultrasonic wave, and the value when this α becomes 2.0 dB / cm or more is obtained. Is used to obtain the crystal grain size D from the relational expression α = 0.6 × D 3 · f 4 (3).
【０００５】また、特開昭60− 35253号の方法は、レイ
リー散乱領域外でも結晶粒度Ｄを求めることができるよ
うに、周波数ｆの超音波により減衰定数αを測定した
後、ｆ／αの大きさによりＤを算出する式を選択する方
法をとっている。すなわち、Ｄを求める関係式を下記
(4) 式 α＝ａi ・Ｄn ・ｆn+1 ……………(4) とし、この冪指数ｎおよび係数ａi の値をｆ／αの大き
さにより採択して結晶粒度Ｄを算出するものである。Further, in the method of JP-A-60-35253, the attenuation constant α is measured by ultrasonic waves of frequency f so that the crystal grain size D can be obtained even outside the Rayleigh scattering region, and then f / α The method of selecting the formula for calculating D according to the size is adopted. That is, the relational expression for obtaining D is
(4) The formula α = a i · D n · f n + 1 (4) is adopted, and the values of the power exponent n and the coefficient a i are adopted according to the magnitude of f / α to obtain the grain size D. Is calculated.
【０００６】[0006]
【発明が解決しようとする課題】しかしながら、前記特
公昭58− 31867号の方法は、超音波減衰定数αがα≧2.
0 (dB/cm) となる領域がレイリー散乱領域と一致するこ
とを前提としているが、本発明者らの実験によれば、α
の大きさは超音波測定機器などに依存することもあっ
て、上記範囲すなわちα≧2.0 (dB/cm) となる領域は必
ずしもレイリー散乱領域を充たさず、したがって結晶粒
度測定精度が悪いことがわかった。However, in the method of Japanese Patent Publication No. 31867/1983, the ultrasonic attenuation constant α is α ≧ 2.
It is premised that the region of 0 (dB / cm) coincides with the Rayleigh scattering region, but according to the experiments by the inventors, α
Since the size of γ depends on the ultrasonic measurement equipment, etc., the above range, that is, the region where α ≧ 2.0 (dB / cm) does not necessarily fill the Rayleigh scattering region, and therefore it is clear that the grain size measurement accuracy is poor. It was
【０００７】また、特開昭60− 35253号の方法では、被
測定体の結晶粒度により相異なる近似式を適用すること
になり、測定精度が大幅に劣化する場合があるという問
題があった。本発明は、上記のような従来技術の有する
課題を解決すべく、超音波を利用した非破壊での高精度
な結晶粒度測定方法を提供することを目的とする。Further, in the method of Japanese Patent Laid-Open No. 60-35253, different approximation formulas are applied depending on the crystal grain size of the object to be measured, and there is a problem that the measurement accuracy may be significantly deteriorated. SUMMARY OF THE INVENTION It is an object of the present invention to provide a non-destructive and highly accurate method of measuring grain size using ultrasonic waves, in order to solve the problems of the above-mentioned conventional techniques.
【０００８】[0008]
【課題を解決するための手段】本発明は、被測定体内に
広帯域超音波パルスを伝播させ、その反射パルスを周波
数解析して広範な周波数ｆに対する超音波減衰定数αを
求め、ｄ（log α) ／ｄ（log ｆ) の値が3.5 以上でか
つ4.5 以下になるときのαと、被測定体に固有の定数ａ
を用いて、下記式 α＝ａ・Ｄ3 ・ｆ4 から結晶粒度Ｄを算出することを特徴とする結晶粒度測
定方法である。According to the present invention, a broadband ultrasonic pulse is propagated in a body to be measured, the reflected pulse is frequency analyzed to obtain an ultrasonic attenuation constant α for a wide range of frequencies f, and d (log α ) / D (log f) is 3.5 or more and 4.5 or less, and α is a constant peculiar to the measured object.
Is used to calculate the crystal grain size D from the following formula α = a · D 3 · f 4 .
【０００９】[0009]
【作 用】本発明者らが、上記課題を解決するために鋭
意実験を重ねて調査したところ、超音波の減衰定数αは
超音波周波数ｆの整数乗に比例するとは限らず、被測定
体によりあるいは測定周波数範囲により、たとえばｆ
3.1 に比例したり、ｆ4.4 に比例したりすることを見出
した。[Working] The inventors of the present invention have conducted extensive studies in order to solve the above-mentioned problems. As a result, the attenuation constant α of ultrasonic waves is not always proportional to the integer power of the ultrasonic frequency f. Or by the measuring frequency range, for example f
It was found to be proportional to 3.1 and proportional to f 4.4 .
【００１０】さらに、本発明者らが鋭意検討したとこ
ろ、結晶粒度の測定精度はレイリー散乱領域を充たす
α、すなわち周波数ｆのほぼ４乗に比例するαだけを用
いて、前出(1) 式すなわちα＝ａ・Ｄ3 ・ｆ4 により求
めることにより、格段に向上することがわかった。ま
た、被測定体あるいは測定条件によっては、αがｆの４
乗に比例する領域がない場合も生じるが、この場合でも
αがｆの3.5 乗以上4.5 乗以下に比例するような値を用
いて(1) 式により計算するようにすれば、高精度で結晶
粒度Ｄが求められることを確認した。Furthermore, the inventors of the present invention have made earnest studies and found that the measurement accuracy of the crystal grain size can be calculated by using only α that fills the Rayleigh scattering region, that is, α that is proportional to the fourth power of the frequency f. That is, it was found that the improvement can be remarkably improved by obtaining α = a · D 3 · f 4 . Depending on the object to be measured or the measurement conditions, α is 4 of f.
There may be a case where there is no region proportional to the power, but even in this case, if calculation is performed with Eq. It was confirmed that the particle size D was required.
【００１１】本発明は、上記の知見に基づいてなされた
ものであり、まず広帯域超音波パルスを用いてその反射
エコーを周波数解析することにより、細かいピッチで広
範な周波数ｆにおける減衰定数αのデータを得る。つぎ
に、αがｆの何乗に比例するかを判断するために、冪指
数Ｎが Ｎ＝ｄ（log α) ／ｄ（log ｆ) ……………(5) なる値を各周波数ｆに対して計算する。ここで、Ｎの値
はα＝Ｋ・ｆN としたときに、 log α＝log Ｋ＋Ｎ・log ｆ ……………(6) となることからわかるように、αがｆの何乗に比例する
かを表している。The present invention has been made on the basis of the above findings. First, frequency analysis is performed on the reflection echo of a wideband ultrasonic pulse to obtain data on the attenuation constant α over a wide range of frequencies f at a fine pitch. To get Next, in order to determine the power of α to the power of f, the power exponent N is set to N = d (log α) / d (log f) .... Calculate against. Here, when the value of N is α = K · f N , log α = log K + N · log f ……… (6) As can be seen, α is proportional to the power of f. Indicates whether to do.
【００１２】１つあるいは狭い範囲の周波数ｆに対して
αを測定しただけでは、冪指数Ｎの取り得る範囲 3.5 ≦Ｎ≦4.5 ……………(7) を充たすαが存在しない可能性があるので、広帯域超音
波パルスを用いてその反射エコーを周波数解析し、広範
な周波数ｆにおける減衰定数αを求めるのが有効であ
る。It is possible that there is no α satisfying the range 3.5 ≤ N ≤ 4.5 (7) that the power exponent N can take, if only α is measured for one or a narrow range of frequency f. Therefore, it is effective to analyze the frequency of the reflected echo using a broadband ultrasonic pulse and obtain the attenuation constant α in a wide range of frequencies f.
【００１３】[0013]
【実施例】以下に、本発明に係る方法を種々の結晶粒度
を有する鋼板に適用した実施例について、図面を参照し
て説明する。図１は、本発明に用いられる測定装置の一
例を示した模式図である。図において、１は測定される
鋼板、２は広帯域超音波探触子、３は広帯域超音波探触
子２に取付けた水柱ノズル、４は超音波送信器、５は超
音波受信器、６はＡ／Ｄ変換器、７はコンピュータなど
の演算装置である。EXAMPLES Examples in which the method according to the present invention is applied to steel sheets having various grain sizes will be described below with reference to the drawings. FIG. 1 is a schematic diagram showing an example of a measuring device used in the present invention. In the figure, 1 is a steel plate to be measured, 2 is a broadband ultrasonic probe, 3 is a water column nozzle attached to the broadband ultrasonic probe 2, 4 is an ultrasonic transmitter, 5 is an ultrasonic receiver, and 6 is The A / D converter, 7 is an arithmetic unit such as a computer.
【００１４】超音波送信器４で励起されたパルスを広帯
域超音波探触子２から水柱ノズル３の水柱３ａを介して
鋼板１内に入射し、鋼板１からの多重底面エコーを広帯
域超音波探触子２を介して超音波受信器５で受信・増幅
し、Ａ／Ｄ変換器６でデジタル値に変換した後、演算装
置７に入力する。この演算装置７において、入力された
多重底面エコーを、図２に示すような手順で演算処理を
行って、結晶粒度Ｄを求める。 鋼板１の多重底面エコーの周波数スペクトルを計算
する。 各底面エコーの周波数スペクトル差からα（ｆ）を
計算する。超音波周波数ｆと減衰定数αとの関係の一例
を図３に示した。 各周波数ｆにおいて、(5) 式を用いて冪指数Ｎを計
算する。 (7) 式を充たす周波数ｆの範囲（ｆ1 , ｆ2 ）を求
める。超音波周波数ｆと冪指数Ｎとの関係の一例を図４
に示した。 区間（ｆ1 , ｆ2 ）内のαを、ｆの４次式 α＝Ｋ・ｆ4 ……………(8) を用いて最小自乗近似する。ここで、Ｋは係数である。The pulse excited by the ultrasonic transmitter 4 is made to enter the steel plate 1 from the wide band ultrasonic probe 2 through the water column 3a of the water column nozzle 3, and the multiple bottom surface echoes from the steel plate 1 are detected by the wide band ultrasonic probe. The ultrasonic wave is received and amplified by the ultrasonic wave receiver 5 via the probe 2, converted into a digital value by the A / D converter 6, and then input to the arithmetic unit 7. In this arithmetic unit 7, the input multiple bottom surface echo is arithmetically processed in the procedure as shown in FIG. 2 to obtain the crystal grain size D. The frequency spectrum of the multiple bottom surface echo of the steel plate 1 is calculated. Calculate α (f) from the frequency spectrum difference of each bottom echo. An example of the relationship between the ultrasonic frequency f and the attenuation constant α is shown in FIG. At each frequency f, the power exponent N is calculated using the equation (5). The range (f 1 , f 2 ) of the frequency f that satisfies the equation (7) is obtained. An example of the relationship between the ultrasonic frequency f and the power exponent N is shown in FIG.
It was shown to. The α in the interval (f 1 , f 2 ) is approximated to the least squares by using the quartic expression of f α = K · f 4 (8). Here, K is a coefficient.
【００１５】なお、減衰定数αを求める際、必要に応じ
て超音波の拡散損失および透過反射損失の影響を補正す
るのが望ましい。 で求まったＫを用いて、前出(1) 式の関係から得
られた下記(9) 式によって結晶粒度Ｄを求める。 Ｄ＝3 √（Ｋ／ａ） ……………(9) なお、被測定体に固有の定数ａとして、ここでは1.61×
10-9〔（dB/cm)(MHz ) -4 (μm)-3〕なる値を用いた。When obtaining the damping constant α, if necessary,
To correct the effects of ultrasonic diffusion loss and transmission reflection loss.
Is desirable. By using K obtained in
The crystal grain size D is obtained by the following equation (9). D =3√ (K / a) ………… (9) As a constant a peculiar to the object to be measured, 1.61 ×
Ten-9[(DB / cm) (MHz) -Four (μm)-3] Value was used.
【００１６】本発明法を用いて10枚の鋼板の結晶粒度を
測定した結果を表１に示した。なお、比較のために、破
壊検査によるものを破壊測定値とし、また(3) 式を利用
した従来法を従来例として、さらに本発明法と同様の方
法ではあるが、冪指数Ｎの範囲を3.0 〜5.0 とした領域
のデータを用いた場合を比較例としてそれぞれ表１に併
せて示した。Table 1 shows the results of measuring the grain size of 10 steel sheets using the method of the present invention. For comparison, a destructive inspection value is used as a destructive measurement value, and a conventional method using equation (3) is used as a conventional example. The case where the data in the region of 3.0 to 5.0 is used is also shown in Table 1 as a comparative example.
【００１７】[0017]
【表１】 [Table 1]
【００１８】この表から明らかなように、本発明例は、
破壊試験による破壊測定値の結果とよく一致しているこ
とがわかる。一方、従来例および比較例はいずれも誤差
が大きくなることが実証されている。なお、上記した実
施例における超音波探触子は鋼板に非接触とした非接触
方式について説明したが、本発明はこれに限るものでは
なく、超音波探触子を鋼板に接触させる方式、あるいは
超音波探触子と鋼板との間に水を充満させる方式であっ
ても差し支えない。また、超音波探触子の型式としては
送受信兼用したものでなくともよく、送信用と受信用と
を別個にしたものを用いてもよい。As is apparent from this table, the examples of the present invention are
It can be seen that the results agree well with the results of the destructive measurement values obtained by the destructive test. On the other hand, it has been proved that both the conventional example and the comparative example have large errors. Although the ultrasonic probe in the above-described embodiment has been described as a non-contact method in which the steel plate is not in contact with the steel plate, the present invention is not limited to this, a method of contacting the ultrasonic probe with the steel plate, or A method of filling water between the ultrasonic probe and the steel plate may be used. Further, the type of the ultrasonic probe does not have to be the one for both transmission and reception, and may be one for transmission and reception separately.
【００１９】さらに、反射パルスの周波数解析処理を行
う手段は、コンピュータで計算する方法以外に周波数解
析器を用いるようにしてもよい。また、上記実施例は鋼
板の結晶粒度測定を対象にして説明したが、本発明はこ
れに限るものではなく、たとえばアルミやチタンなどの
他の金属、あるいはセラミックなどの非金属材料にも適
用し得ることはいうまでもない。Further, as the means for performing the frequency analysis processing of the reflected pulse, a frequency analyzer may be used instead of the computer calculation method. Further, although the above-mentioned examples have been described for the measurement of the grain size of the steel sheet, the present invention is not limited to this, and is also applicable to other metals such as aluminum and titanium, or non-metallic materials such as ceramics. It goes without saying that you will get it.
【００２０】[0020]
【発明の効果】以上説明したように、本発明によれば、
広帯域超音波パルスの反射波を周波数解析することによ
り、広範な周波数ｆに対する超音波減衰定数αを得るこ
とができ、周波数ｆの3.5 乗以上でかつ4.5 乗以下に比
例するαのみを対象にして、α＝ａ・Ｄ3 ・ｆ4 によ
り、結晶粒径Ｄを算出するようにしたので、自動的にレ
イリー散乱領域を充たす周波数領域で測定をしたことと
等価になり、これによって結晶粒度を非破壊の手段で高
精度に求めることが可能である。As described above, according to the present invention,
By performing frequency analysis on the reflected wave of the broadband ultrasonic pulse, the ultrasonic attenuation constant α for a wide range of frequencies f can be obtained, and only α that is proportional to the power of 3.5 to 4.5 of the frequency f is targeted. , Α = a · D 3 · f 4 , the crystal grain size D is calculated, which is equivalent to automatically measuring in the frequency region that fills the Rayleigh scattering region. It is possible to obtain with high precision by means of destruction.
【図１】本発明に用いられる測定装置の一例を示した模
式図である。FIG. 1 is a schematic diagram showing an example of a measuring apparatus used in the present invention.
【図２】本発明に演算装置における演算処理の手順を示
すフローチャートである。FIG. 2 is a flowchart showing a procedure of arithmetic processing in the arithmetic device according to the present invention.
【図３】超音波周波数ｆと減衰定数αとの関係を示す特
性図である。FIG. 3 is a characteristic diagram showing a relationship between an ultrasonic frequency f and an attenuation constant α.
【図４】超音波周波数ｆと指数Ｎとの関係を示す特性図
である。FIG. 4 is a characteristic diagram showing a relationship between an ultrasonic frequency f and an index N.
１ 鋼板 ２ 広帯域超音波探触子 ３ 水柱ノズル ４ 超音波送信器 ５ 超音波受信器 ６ Ａ／Ｄ変換器 ７ 演算装置 1 Steel Plate 2 Broadband Ultrasonic Probe 3 Water Column Nozzle 4 Ultrasonic Transmitter 5 Ultrasonic Receiver 6 A / D Converter 7 Computing Device
Claims (1)
播させ、その反射パルスを周波数解析して広範な周波数
ｆに対する超音波減衰定数αを求め、ｄ（log α) ／ｄ
（log ｆ) の値が3.5 以上でかつ4.5 以下になるときの
αと、被測定体に固有の定数ａを用いて、下記式 α＝ａ・Ｄ3 ・ｆ4 から結晶粒度Ｄを算出することを特徴とする結晶粒度測
定方法。1. An ultrasonic wave attenuation pulse α for a wide range of frequencies f is obtained by propagating a broadband ultrasonic wave pulse in a body to be measured and analyzing the reflected pulse by frequency, and d (log α) / d
The crystal grain size D is calculated from the following formula α = a · D 3 · f 4 using α when the value of (log f) is 3.5 or more and 4.5 or less and the constant a unique to the measured object. A method for measuring grain size, which is characterized in that:
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| JP05043127A JP3140244B2 (en) | 1993-03-04 | 1993-03-04 | Grain size measurement method |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| JP05043127A JP3140244B2 (en) | 1993-03-04 | 1993-03-04 | Grain size measurement method |
Publications (2)
| Publication Number | Publication Date |
|---|---|
| JPH06258299A true JPH06258299A (en) | 1994-09-16 |
| JP3140244B2 JP3140244B2 (en) | 2001-03-05 |
Family
ID=12655184
Family Applications (1)
| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| JP05043127A Expired - Fee Related JP3140244B2 (en) | 1993-03-04 | 1993-03-04 | Grain size measurement method |
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| Country | Link |
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| JP (1) | JP3140244B2 (en) |
Cited By (4)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| KR100797281B1 (en) * | 1999-12-28 | 2008-01-23 | 주식회사 포스코 | A Nondestructive Measurement Method for Grain Size of Ferrite Crystal by Ultrasonic Method |
| JP2008545123A (en) * | 2005-07-06 | 2008-12-11 | ナショナル・リサーチ・カウンシル・オブ・カナダ | Method and system for determining material properties using ultrasonic attenuation |
| CN103645248A (en) * | 2013-12-18 | 2014-03-19 | 中南大学 | High-temperature alloy grain size evaluation method based on ultrasonic phase velocity |
| JP2019184432A (en) * | 2018-04-11 | 2019-10-24 | 株式会社アーステクニカ | Nondestructive inspection method for high manganese cast steel |
Families Citing this family (2)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| JP4218014B2 (en) * | 2003-03-10 | 2009-02-04 | 学校法人日本大学 | Fine particle concentration measuring device |
| RU2650713C1 (en) * | 2017-02-06 | 2018-04-17 | Алексей Викторович Пигарев | Method of measuring small factors of optical absorption of nonlinear optic crystals |
-
1993
- 1993-03-04 JP JP05043127A patent/JP3140244B2/en not_active Expired - Fee Related
Cited By (5)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| KR100797281B1 (en) * | 1999-12-28 | 2008-01-23 | 주식회사 포스코 | A Nondestructive Measurement Method for Grain Size of Ferrite Crystal by Ultrasonic Method |
| JP2008545123A (en) * | 2005-07-06 | 2008-12-11 | ナショナル・リサーチ・カウンシル・オブ・カナダ | Method and system for determining material properties using ultrasonic attenuation |
| KR101281273B1 (en) * | 2005-07-06 | 2013-07-03 | 내셔날 리서치 카운실 오브 캐나다 | Method and system for determining material properties using ultrasonic attenuation |
| CN103645248A (en) * | 2013-12-18 | 2014-03-19 | 中南大学 | High-temperature alloy grain size evaluation method based on ultrasonic phase velocity |
| JP2019184432A (en) * | 2018-04-11 | 2019-10-24 | 株式会社アーステクニカ | Nondestructive inspection method for high manganese cast steel |
Also Published As
| Publication number | Publication date |
|---|---|
| JP3140244B2 (en) | 2001-03-05 |
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