Materials Characterization Laboratory
Department: Department D 5  Ultrasonic Methods Head: Ing. Petr Sedlák, Ph.D. 

Materials Characterization Laboratory specializes in experimental and theoretical research in the field of mechanics of materials. It is oriented on utilizing physical acoustic principles for the evaluation of mechanical properties of metals, intermetallics, ceramics, composites, and functional materials (ferroics). Another main focus is the characterization of structural changes in materials (for example, during phase transitions). For this purpose, the laboratory develops original ultrasonic methods such as resonant ultrasound spectroscopy. The research encompasses
All of the abovelisted phenomena are related to strong thermomechanical coupling (i.e., the coupling between mechanics and thermal effects). They might be used to evaluate the examined materials' thermomechanical properties (i.e., their elastic constants). However, their proper investigation requires advanced experimental techniques as well as multiscale mathematical models. Solutions of complex and illposed inverse problems are required, with MonteCarlo simulations providing a realistic estimation of experimental errors. 
Head:
Ing. Petr Sedlák, Ph.D.
Researchers:
Mgr. Barbora Benešová, Ph.D.
Ing. Lucie Bodnárová, Ph.D.
RNDr. Miroslav Frost, Ph.D.
Ing. Martin Koller, Ph.D.
Ing. Jitka Nejezchlebová, Ph.D.
doc. Ing. Hanuš Seiner, Ph.D.
Students:
Ing. Martina Thomasová
Noncontact resonant ultrasound spectroscopy (RUS)
Fig. 1
By using lasers both for the generation and for the detection of elastic vibrations, the resonant spectra of the examined materials' specimens are obtained in a fully noncontact regime, i.e., not biased by any clamping forces from the ultrasonic probes. Simultaneously, the detecting laser beam scans the surface of the specimen, and thus, not only the resonant frequencies but the shapes of the eigenmodes are obtained.
Numerical solution of the inverse problem of RUS
Fig. 2
The determination of elastic coefficients from the resonant spectra is done inversely. The coefficients are tuned such that the spectra evaluated for them fit the experimental data in some optimal way. For this purpose, a software toolbox running under Matlab is developed. It enables not only the inverse determination of the elastic coefficients but also reliable estimates of the accuracy. Moreover, it might be used to calculate thermal dependencies of individual coefficients, attenuation coefficients, or determination of the material symmetry class.
Measurements of elastic coefficients of individual phases of shape memory alloys and their thermal dependencies close to the transition temperatures
Fig. 3
Single crystals of austenite and single variants of martensite of the shape memory alloys (SMAs) are of particular interest. Shear softening in the vicinity of the transition temperatures is investigated by various ultrasonic methods (pulseecho technique, RUS). For the ferromagnetic SMAs (e.g., NiMnGa), the effect of the external magnetic field is analyzed, together with the related magnetoacoustic phenomena (especially damping).
Elasticity of martensitic microstructures
Fig. 4
The microstructures of thermoelastic martensites differ, for example, in the twinning system, the volume fractions of the variants, or the orders of the laminate. The averaged elastic properties of martensites with different microstructures might be evaluated using a simple homogenization procedure. Therefore, an inverse calculation of the elastic coefficients of the individual microstructure components is possible if the macroscopic elastic coefficients are known.
Experimental observations and mathematical modeling of interfacial microstructures in single crystals of shape memory alloys
Fig. 5
Martensitic microstructures forming between austenite and the mechanically stabilized martensite in the single crystals of SMAs is observed by optical microscopy (2D analysis) and whitelight interferometry (3D analysis). The results are compared to the predictions of the mathematical theory of martensitic microstructures. The experiments are done on CuAlNi single crystals.
Finite element methods are used to analyze the elastic strain fields in interfacial martensitic microstructures, whereto the mesoscopic geometry of the microstructure is taken directly form the optical observations. The results enable the stored elastic energy to be evaluated and, consequently, the thermodynamic stability of individual microstructures to be discussed.
Constitutive modeling of the thermomechanical response of polycrystalline NiTibased shape memory alloys
Fig. 6
We develop a unified mathematical description (model) of the complex thermomechanical response of the NiTibased shape memory alloys. It is based on the understanding of related microstructural processes and their thermodynamic nature and is suitable for the algorithmic implementation into computational software (e.g. via the finite element method). The model is motivated by and validated on the experimental data acquired both in our laboratory and in cooperation with other institutes of the Czech Academy of Sciences.
Resonant ultrasound spectroscopy (RUS) is a laserbased experimental technique for contactless determination of elastic properties of materials based on measuring the resonant spectra of free elastic vibrations of millimetersized samples. The elastic coefficients are obtained through an inverse procedure, which employs iterative minimization between the measured resonant spectrum and a resonant spectrum calculated from given material parameters of the sample. The internal friction parameter can be obtained from the widths of the resonant peaks.
The elastic vibrations of the samples are generated by a pulsed laser beam focused onto the bottom surface of the measured sample and detected by a laser vibrometer at the top surface. The resonant spectra are typically recorded in a frequency range from 0.1 to 5 MHz. Three separate RUS devices are utilized at the department, differing in the operating temperatures at which the resonant spectra can be detected.
Fig. A
In the first RUS device (Fig. A), the heating/cooling is arranged by a Peltier cell cascade with the operating temperatures between 40 °C and 120 °C. The vibrations are generated by short infrared pulses from Quantel ULTRA Nd:YAG laser. They are detected by a scanning laser vibrometer incorporated in Polytec Micro System Analyzer MSA600, which allows measuring in hundreds of predefined points. Therefore, the modal shapes of the vibrations are obtained for each resonant frequency. This enables a proper association of several tens or even hundreds of resonant frequencies on the measured and calculated resonant spectra. The resulting elastic coefficients are determined with exceptionally high accuracy.
Fig. B
Fig. C
In the other two RUS devices, the vibrations of the studied samples are generated by pulsed CryLaS DSS 10643000 laser and detected at one measuring point by Polytec OFV vibrometer system. The lowtemperature RUS device (Fig. B) utilizes an Oxford Instruments Optistat CF2 cryostat cooled by liquid nitrogen. It allows the measurements at the temperature range from 190 °C to 30 °C. The hightemperature RUS device (Fig. C) can be utilized from the room temperature up to 750 °C.
Doctoral students:
Ing. Martina Thomasová
 Topic: Elasticity of polycrystalline shape memory alloys
 Supervisor: doc. Ing. Hanuš Seiner, Ph.D.
 Start year: 2016
 Expected year of graduation: 2023