Method for characterising a part made of a composite material
10024822 · 2018-07-17
Assignee
Inventors
- Jean-Yves François Roger Chatellier (Arcueil, FR)
- Nicolas Broussais-Colella (Melun, FR)
- Jérémy Duval (Juvisy sur Orge, FR)
- Jérémy Nicolas Marquis (Brest, FR)
- Anne Meyer (Sucy en Brie, FR)
Cpc classification
G01N2291/048
PHYSICS
G01N29/07
PHYSICS
International classification
G01N29/07
PHYSICS
G01N29/46
PHYSICS
Abstract
The invention consists in a method of characterizing a part made of composite material (30), the method comprising a step of determining a characteristic of a longitudinal ultrasound wave (41) traveling along a path within the part (30), and being characterized in that the travel time of a longitudinal ultrasound wave (42) transmitted by the part (30) is measured (E4).
Claims
1. A method of characterizing a part made of composite material, the method comprising a step of determining a characteristic of a longitudinal ultrasound wave traveling along a path within the part, and being characterized in that a travel time of a longitudinal ultrasound wave transmitted by the part is measured, and the travel time of the transmitted wave is measured by observing the beginning of the transmitted wave, wherein a propagation time of an ultrasound wave transmitted through a liquid in the absence of the part is measured, and the propagation times of ultrasound waves reflected respectively by a first face of the part and by a second face of the part are measured with a first transducer facing the first face and a second transducer facing the second face of the part in order to determine a dimension of the part traveled by the longitudinal ultrasound wave traveling along the path within the part, wherein an amplitude of the transmitted wave is also measured in order to determine an overall or unit length attenuation to which the longitudinal ultrasound wave is subjected on traveling within the part, wherein an overall attenuation (.sub.2) of the longitudinal ultrasound wave in the part is determined according to the following equation:
2. A method according to claim 1, wherein a propagation speed of the longitudinal ultrasound wave in the part following the path within the part is determined.
3. A characterization method according to claim 1, performed for a part made of 3D woven composite material.
4. A method according to claim 1, wherein x.sub.2 is determined according to the equation:
x.sub.2=(t.sub.X1+X2+X3t.sub.X3t.sub.X1)V.sub.liquid where V.sub.liquid is a propagation speed of the wave in the liquid, t.sub.X1+X2+X3 is the propagation time of the ultrasound wave transmitted through the liquid in the absence of the part, t.sub.X1 is the propagation time of the ultrasound wave reflected by the first face of the part, and t.sub.X3 is the propagation time of the ultrasound wave reflected by the second face of the part.
5. A method according to claim 1, wherein t.sub.12t.sub.21 is determined according to the equation:
6. A method according to claim 5, wherein the acoustic impedance of the liquid, Z.sub.1, and the acoustic impedance of the composite material, Z.sub.2, are calculated according to equations:
Z.sub.1=.sub.1V.sub.1
Z.sub.2=.sub.2V.sub.2 where .sub.1 is a density of the liquid, .sub.2 is a density of the composite material, and V.sub.1 is a propagation speed of the transmitted wave within the liquid, and V.sub.2 is a propagation speed of the transmitted wave within the composite material.
Description
BRIEF DESCRIPTION OF THE FIGURES
(1)
(2)
(3)
(4)
(5)
(6)
DETAILED DESCRIPTION OF AN IMPLEMENTATION
(7) With reference to
(8) In
(9) A first step E1 consists in measuring the travel time of the wave transmitted through the water between the two transducers 10 and 20, in the absence of the part. A second step consists in measuring the travel time of the wave reflected by the first surface, referenced 31, of the part 30, with the transducer 10 operating as a transceiver and facing the surface 31. A third step consists in measuring the travel time of the wave reflected by the second surface, referenced 32, of the part 30, with the transducer 20 operating in turn as a transceiver and facing the surface 32.
(10) The travel time is measured on each occasion by observing the beginning of the signal, and not an arch of the signal. This makes it possible for the operator to ignore any phenomenon associated with possible phase shifting of the signal. Specifically, in the presence of multiple reflections, phase shifts appear. This also happens when, after a reflection, the signal is inverted. The shape of the arches of the signal is modified, and it is difficult to obtain an accurate value for the travel time. That is why it is proposed to measure the signal by observing solely the beginning of the signal.
(11) Since the propagation speed of the wave in water V.sub.water is known, it is possible by subtraction to obtain the thickness of the part from the steps E1, E2, and E3, by using the formula X.sub.2=(t.sub.X1+X2+X3t.sub.X3t.sub.X1)V.sub.water, where X1 is the distance between the transducer 10 and the surface 31, X2 is the thickness of the part at the point of impact of the beam, and X3 is the distance between the transducer 20 and the surface 32, and where t.sub.X1+X2+X3, t.sub.X1 and t.sub.X3 are the travel times measured during the steps E1, E2, and E3 respectively.
(12)
(13) The following results are obtained:
(14) t.sub.X1+X2+X3=92.72 microseconds (s)
(15) t.sub.X3=52.98/2=26.49 s
(16) t.sub.X1=29.94/2=14.97 s
(17) X2=(t.sub.X1+X2+X3t.sub.X3t.sub.X1)V.sub.water
(18) X2=(92.7210.sup.626.4910.sup.614.9710.sup.6)1486.54
(19) X2=76.20 mm
(20) The thickness measured with calipers is indeed 76.20 mm, i.e. 3.
(21)
(22) The travel time of the wave in the part 30 is expressed in the form t.sub.X2=t(t.sub.X1+t.sub.X3). Knowing X2 as determined beforehand, the propagation speed of the wave in the material is expressed in the form V.sub.material=X2/t.sub.X2.
(23)
(24) The values obtained are as follows:
(25) t=53.80 s
(26) t.sub.X2=(53.8010.sup.626.4910.sup.614.9710.sup.6)
(27) t.sub.X2=12.34 s
(28) V=76.2010.sup.3/12.3410.sup.6
(29) And finally, the numerical value of the speed is V=6175.04 m/s. This value is verified with a conventional propagation speed measurement in order to validate the method.
(30)
(31) The values obtained are as follows:
(32) t.sub.X1+X2+X3=90.22 s
(33) t=74.90 s
(34) t.sub.X3=52.42/2=26.21 s
(35) t.sub.X2=64.68/2=32.34 s
(36) X2=t.sub.X1+X2+X3t.sub.X3t.sub.X1)V.sub.water
(37) X2=(90.2210.sup.626.2110.sup.632.3410.sup.6)1486.54
(38) X2=31.6710.sup.61488.76
(39) X2=47.078 mm
(40) t.sub.X2=t(t.sub.X1+t.sub.X3)
(41) t.sub.X2=(74.9010.sup.626.2110.sup.632.3410.sup.6)
(42) t+.sub.X2=16.35 s
(43) V.sub.composite=X2/t.sub.X2
(44) V.sub.composite=47.07810.sup.3/16.3510.sup.6
(45) And finally, the numerical value of the speed is V.sub.composite=2879.4 m/s.
(46) Attention is then given to the attenuation of the longitudinal wave in the material.
(47) The expression for the amplitude of the wave transmitted from the emitter to the receiver is written as follows: Y.sub.1=A.sub.maxe.sup.1.(X1+X2+X3), where A.sub.max represents the maximum amplitude at the surface of the transducer and .sub.1 is the attenuation of the wave in water.
(48) The expression for the amplitude of the wave transmitted from the emitter to the receiver after passing through the material is written as follows: Y.sub.2=A.sub.maxe.sup.1(X1+X3)e.sup.2X2t.sub.12t.sub.21, where .sub.2 is the attenuation of the wave in the material, t.sub.12 is the amplitude transmission coefficient from water to the material, and t.sub.21 is the amplitude transmission coefficient from the material to water.
(49) The expression for the product t.sub.12t.sub.21 is a function of the acoustic impedance of the material Z.sub.2=.sub.2V.sub.2 and of the acoustic impedance of water Z.sub.1=.sub.1V.sub.1. In the acoustic impedance expression, represents density and V represents the propagation speed of the longitudinal wave at the frequency under consideration.
(50)
(51) The amplitude ratio Y.sub.1/Y.sub.2 is written as follows:
(52)
(53) From which it is possible to deduce the expression for attenuation in the material:
(54)
(55) A first implementation relates to the spacer of composite material having thickness of 47.09 mm, using a wave at 2.25 MHz.
(56) The numerical values for this implementation are as follows:
(57) .sub.2=1525.71 kilograms per cubic meter (kg/m.sup.3)
(58) V.sub.2=2946.75 m/s
(59) Z.sub.2=4.39316 megOhms alternating current (M.sub.ac)
(60) .sub.water=997.77 kg/m.sup.3
(61) V.sub.water=1486.54 m/s
(62) Z.sub.water=1.48322 M.sub.ac
(63) t.sub.12t.sub.21=0.75478
(64) x.sub.2=47.078 mm (accurate ultrasound measurement)
(65) Y.sub.1=643.2 millivolts (mV)
(66) Y.sub.2=15.885 mV
(67) .sub.water2.25MHz=0.972 nepers per meter (Np/m)
(68) .sub.2=73.61 Np/m.
(69) A second implementation relates to the spacer of composite material having thickness of 47.09 mm, using a wave at 1 MHz.
(70) .sub.2=1525.71 kg/m.sup.3
(71) V.sub.2=2879.39 m/s
(72) Z.sub.2=4.39311 M.sub.ac
(73) .sub.water=997.77 kg/m.sup.3
(74) V.sub.water=1486.54 m/s
(75) Z.sub.water=1.48322 M.sub.ac
(76) t.sub.12t.sub.21=0.75479
(77) x.sub.2=47.078 mm (accurate ultrasound measurement)
(78) Y.sub.1=370.25 mV
(79) Y.sub.2=16.395 mV
(80) .sub.water1MHz=0.682 Np/m
(81) .sub.2=60.92 Np/m.
(82) The invention is not limited to the implementations described but extends to any variant within the scope of the claims.