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Sensors and Actuators A 106 (2003) 117–120 Continuous stress annealing of amorphous ribbons for strain sensing applications Luděk Kraus a,∗ , Jan Bydžovský b , Peter Švec c a Institute of Physics ASCR, Na Slovance 2, CZ-18221 Praha 8, Czech Republic b Slovak Technical University, Ilkovičova 3, SK-81219 Bratislava, Slovakia c Institute of Physics SAS, Dúbravská cesta 9, SK-84228 Bratislava, Slovakia Abstract Stress-annealed amorphous Co69 Fe2 Cr7 Si8 B14 ribbons are suitable materials for strain sensors required in civil engineering applications. The equipments for the continuous stress-annealing of ribbons and the automatic homogeneity test of magnetic properties are described. The magnetic properties of stress-annealed ribbons are discussed. The use of ribbon in an inductive strain sensor is also illustrated. © 2003 Elsevier B.V. All rights reserved. Keywords: Strain sensors; Amorphous alloys; Magnetic anisotropy; Magnetoelastic properties 1. Introduction The extraordinary mechanical and magnetic properties of amorphous alloys can be used in various sensing applications [1]. High magnetostrictive Fe-rich alloys are particularly suitable for very sensitive strain sensors [2] working in small strain ranges. Using the as-quenched Co-Ni based alloys with negative magnetostriction the measuring range was substantially increased [3]. High elastic strength and corrosion resistance of sensor materials are required for outdoor applications in civil engineering. It has been proved that for high-level strain measurements (up to 2 × 10−3 ) amorphous Co69 Fe2 Cr7 Si8 B14 alloys with small negative magnetostriction are suitable [4]. To improve further the sensor performance transversal magnetic anisotropy was induced by annealing under tensile stress [5]. For large-scale material production the continuous stress-annealing is required. To ensure good reproducibility and uniformity of magnetic properties along the ribbon length automated equipments for continuous stress-annealing and quality control were developed. 2. Experimental Amorphous Co69 Fe2 Cr7 Si8 B14 ribbon, 6 mm wide, was prepared by the planar flow casting. The amorphous struc∗ Corresponding author. Tel.: +420-2-66052174; fax: +420-2-8689-0527. E-mail address: [email protected] (L. Kraus). 0924-4247/$ – see front matter © 2003 Elsevier B.V. All rights reserved. doi:10.1016/S0924-4247(03)00147-X ture was checked by X-ray diffraction. The basic magnetic properties, determined from quasistatic hysteresis loop measurements, are summarized in Table 1. The influence of stress-annealing on domain structure and hysteresis properties was investigated on 40 cm long ribbon pieces statically annealed for 1 h in a radiation furnace with a temperature plateau about 14 cm along its axis. The temperature in the furnace was controlled by the temperature controller/programmer (Eurotherm 902). Stress was applied by a weight attached to one of the cold ends of the sample. Domain structures on the shiny sides of 7 cm long samples were observed by scanning electron microscope JEOL Superprobe JXA-733 using the type II magnetic contrast of backscattered electrons [6]. The sample was tilted with respect to the electron beam around the longitudinal or transversal axis so that either longitudinal (L) or transversal (T) magnetic contrast could be observed. Tensile stress up to 800 MPa was applied to ribbons by means of a brass spring. For the continuous stress-annealing the same radiation furnace was used with the ribbon continuously moving through it. The schematic diagram of the equipment is shown in Fig. 1. The ribbon is moved with a constant velocity by winding on a bobbin driven by the stepping motor, which is controlled by PC via RS 232 serial port. Two ways of applying stress are used during annealing. The first one uses a weight attached to the end of the ribbon. The weight moves down until it reaches the floor. With this method the force on the ribbon is constant, but the length of annealed sample is limited by the height at which the furnace is placed (about 2 m). 118 L. Kraus et al. / Sensors and Actuators A 106 (2003) 117–120 Table 1 Magnetic properties of as-quenched Co69 Fe2 Cr7 Si8 B14 ribbon 19.7 m 0.56 T 2.9 A/m −1 × 10−6 Ribbon thickness t Saturation polarization Js Coercive force Hc Magnetostriction constant λs The second method uses the friction applied to the second bobbin, from which the ribbon is unwound (see Fig. 1). The horizontal component of force acting on the bobbin is measured by the digital force gauge (Chatillon DFGS-R-ND). Long samples can be annealed using this method. The disadvantage, however, is the slight variation of the frictional force. The homogeneity of magnetic properties of stress-annealed ribbons is measured by means of the automated hysteresis loop tracer schematically shown in Fig. 2. The quasistatic hysteresis loops along the ribbon are measured step-by-step at a constant distance between the measurements. Between the measurements the ribbon is moved by means of the stepping motor in the same way as described above. M-H tracer consists of the 30 cm long magnetizing solenoid and the 3 cm pick-up coil with 8000 turns. The solenoid is fed by the power supply controlled by the output voltage of the programmable voltage source (Keithley 230). The current is measured by means of DMM (Keithley 175A). The pick-up voltage is integrated by the fluxmeter (Dr. Steingroever EF3). The program written in LabVIEW, allows automatic measurements of a large number of hysteresis loops for a set of predefined parameters: • • • • • Fig. 2. The schematic diagram of automatic homogeneity M-H loop tester. 3. Properties of stress-annealed ribbons Number of measured loops; Displacement between the measurements; Points per loop; Maximum amplitude of magnetic field; Shape of field versus time function, etc. Stress-annealing induces magnetic anisotropy with the easy plane perpendicular to the ribbon axis and the anisotropy constant proportional to the stress applied during the annealing. Transversal stripe domains are observed in the stress-annealed samples and the magnetization reversal takes place only by magnetization rotation. The domain structures of stress-annealed samples show wide stripe domains perpendicular to the ribbon axis (see Fig. 3). The domain walls show the zigzag structure, typical for the easy-plane anisotropy [7]. As can be seen, applied tensile stress up to 450 MPa has only little effect on the domain structure. The hysteresis loops of stress-annealed ribbon, measured at various applied tensile stress σ are shown in Fig. 4. The loops are linear practically up to 90% of saturation magnetization and show very little coercive force. The slope of the hysteresis loop decreases with applied stress and the effective anisotropy field, determined from the initial susceptibility, well satisfies the theoretical linear dependence The measured loops are saved into ASCII format files. HK = HK0 − 3 λs σ, Js Fig. 1. Device for continuous stress-annealing. (1) L. Kraus et al. / Sensors and Actuators A 106 (2003) 117–120 119 Fig. 3. Domain structures of stress-annealed Co69 Fe2 Cr7 Si8 B14 ribbon (350 ◦ C/1 h/400 MPa). (a) σ = 0; (b) σ = 450 MPa. where HK0 is the anisotropy field induced by stress-annealing. An example of the anisotropy field HK measurement along the continuously stress-annealed ribbon is shown in Fig. 5. As can be seen, in the central part, where the temperature of the furnace and the ribbon velocity were constant, the anisotropy field is constant within 10%. It was found that for the annealing temperature of 350 ◦ C the velocity less than 20 cm/h (which corresponds to the annealing time of ∼42 min) ensures good homogeneity of magnetic properties along the ribbon. 4. Two-coil strain sensor Fig. 4. Effect of applied stress on hysteresis loops of stress-annealed Co69 Fe2 Cr7 Si8 B14 ribbon. Fig. 5. Anisotropy field measured along a continuously stress-annealed ribbon. The inset shows the hysteresis loop measured at the position x = 50 cm. A linear dependence of the anisotropy field on the applied stress Eq. (1) can be utilized for a strain sensor, where amorphous ribbon is used as the magnetic core of an induction coil. The linearity of magnetizing characteristics and low hysteresis of the stress-annealed ribbons, provide nearly linear dependence of dynamic reluctivity (inverse of magnetic permeability) on applied stress. The prototype of two-coil strain sensor is schematically shown in Fig. 6. The ribbon core, 85 mm long, is placed in the primary winding (driving coil) N1 = 460 and the secondary winding (sensing coil) N2 = 120. The ends of the ribbon are glued to the supports mounted on a brass beam. The sensor is strained by means of the brass beam, which is fixed at both ends and bent by a force applied to its center. The primary coil is supplied by a power operational amplifier at a frequency of 5 kHz. For materials with a linear dynamic magnetization curve, small hysteresis and high permeability the voltage induced in the sensing coil can be expressed by the relation [8] U2 = C ωJs2 Imag , Js HK0 − 3ελs E (2) 120 L. Kraus et al. / Sensors and Actuators A 106 (2003) 117–120 Fig. 6. Basic electrical scheme with feedback to ensure constant induced voltage. Magnetizing current is used as signal for strain detection. where ω is the angular frequency of the driving current, ε the strain, E the Young’s modulus and C the constant, which takes into account the demagnetizing effect and filling factor of the secondary coil by the core. If the induced voltage U2 is kept constant the magnetizing current Imag is proportional to the strain ε. Both the waveform and the amplitude of magnetizing current are controlled by a feedback loop, which ensures that the voltage U2 induced in the pick-up coil remains sinusoidal and constant when the flexure of the beam is changed. The electronic circuit with the feedback loop is schematically shown in Fig. 6. Different types of solid state circuits were developed and tested for the driving amplifier. On the basis of the obtained experience three types of portable strain-measuring devices were designed and constructed. 5. Conclusion Equipment for continuous stress-annealing of amorphous ribbons and an automated hysteresis loop tester were developed. It was shown that magnetic properties of stress-annealed Co69 Fe2 Cr7 Si8 B14 ribbon were homogeneous along its length. The techniques, described above, can be used for a large-scale production and control of amorphous ribbons utilized in inductive strain sensors for civil engineering applications. Acknowledgements The work was supported by the NATO SfP Project No. SfP-973649 “Quenched Materials” and Ministry of Education, Youth and Sports of the Czech Republic, Programme KONTAKT ME 355 (2000). References [1] A. Hernando, M. Vázquez, J.M. Barandiarán, Metallic glasses and sensing applications, J. Phys. E. Sci. Instrum. 21 (1988) 1129–1139. [2] M. Wun-Fogle, H.T. Savage, A.E. Clark, Sensitive, wide frequency range magnetostrictive strain gauge, Sens. Actuators A 12 (1987) 323–331. [3] J.M. Barandiarán, J. 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