(Bulk) metallic glasses ((B)MGs) are known to exhibit the highest yield strength of any metallic material (up to 5GPa), and show an elastic strain at ambient conditions, which is about ten times larger than that of crystalline materials. Despite these intriguing mechanical properties, BMGs are not used as structural materials in service, so far. The major obstacle is their inherent brittleness, which results from severe strain localization in so-called shear bands. MGs fail due to formation and propagation of shear bands. A very effective way to attenuate the brittle behaviour is to incorporate crystals into the glass. The resulting BMG composites exhibit high strength as well as plasticity. Cu-Zr-Al-based BMG composites are special to that effect, since they combine high strength, plasticity and work-hardening. They are comprised of the glass and shape-memory B2 CuZr crystals, which can undergo a deformation-induced martensitic transformation. The work-hardening originates from the martensitic transformation and overcompensates the work-softening of the glass. The extent of the plasticity of BMG composites depends on the volume fraction, size and particularly on the distribution of the B2 CuZr crystals. Nowadays, it is very difficult, if not impossible to prepare BMG composites with uniformly distributed crystals in a reproducible manner by melt-quenching, which is the standard preparation method. Flash-annealing of BMGs represents a new approach to overcome this deficiency in the preparation of BMG composites and is the topic of the current thesis. Cu46Zr46Al8 and Cu44Zr44Al8Hf2Co2 BMGs were flash-annealed and afterwards investigated in terms of phase formation, crystallization kinetics and mechanical properties. Flash-annealing is a process, which is characterized by the rapid heating of BMGs to predefined temperatures followed by instantaneous quenching. A temperature-controlled device was succesfully developed and built. The Cu-Zr-Al-based BMGs can be heated at rates ranging between 16 K/s and about 200 K/s to temperatues above their melting point. Rapid heating is followed by immediate quenching where cooling rates of the order of 1000 K/s are achieved. As a BMG is flash-annealed, it passes the glass-transition temperature, Tg, and transforms to a supercooled liquid. Further heating leads to its crystallization and the respective temperature, the crystallization temperature, Tx, divides the flash-annealing of BMGs into two regimes: (1) sub-Tx-annealing and (2) crystallization. The structure of the glass exhibits free volume enhanced regions (FERs) and quenched-in nuclei. Flash-annealing affects both heterogeneities and hence the structural state of the glass. FERs appear to be small nanoscale regions and they can serve as initiation sites for shear bands. Flash-annealing of Cu-Zr-Al-based BMGs to temperatures below Tg leads to structural relaxation, the annihilation of FERs and the BMG embrittles. In contrast, the BMG rejuvenates, when flash-annealed to temperatures of the supercooled liquid region (SLR). Rejuvenation is associated with the creation of FERs. Compared to the as-cast state, rejuvenated BMGs show an improved plasticity, due to a proliferation of shear bands, which are the carrier of plasticity in MGs. Flash-annealing enables to probe the influence of the free volume in bulk samples on their mechanical properties, which could not be studied, yet. In addition, B2 CuZr nanocrystals precipitate during the deformation of flash-annealed Cu44Zr44Al8Hf2Co2 BMGs. Deformation-induced nanocrystallization does not occur for the present as-cast BMGs. Flash-annealing appears to stimulate the growth of quenched-in nuclei, which are subcritical in size and can also dissolve, once the BMG is heated to temperatures in the SLR. Rejuvenation represents a disordering process, whereas the growth of quenched-in nuclei is associated with ordering. There is a competition between both processes during flash-annealing. The ordering seems to lead to a “B2-like” clustering of the medium range of Cu44Zr44Al8Hf2Co2 BMGs with increasing heating duration. So far, there does not exist another method to manipulate the MRO of BMGs. If Cu44Zr44Al8Hf2Co2 BMGs are flash-annealed to temperatures near Tx, most likely compressive resiudal stresses develop near the surface, which is cooled faster than the interior of the BMG specimen. They hinder the propagation of shear bands and increase the plasticity of flash-annealed BMGs in addition to rejuvenation and deformation-induced nanocrystallization. If BMGs are heated to temperatures above Tx, they start to crystallize. Depending on the exact temperature to which the BMG is flash-annealed and subsequently quenched, one can induce controlled partial crystallization. Consequently, BMG composites can be prepared. Both Cu-Zr-Al-based BMGs are flash-annealed at various heating rates to study the phase formation as a function of the heating rate. In addition, Tg and Tx are identified for each heating rate, so that a continuous heating transformation diagram is constructed for both glass-forming compositions. An increasing heating rate kinetically constrains the crystallization process, which changes from eutectic (Cu10Zr7 and CuZr2) to polymorphic (B2 CuZr). If the Cu-Zr-Al-based BMGs are heated above a critical heating rate, exclusively B2CuZr crystals precipitate, which are metastable at these temperatures. Thus, flash-annealing of Cu46Zr46Al8 and Cu44Zr44Al8Hf2Co2 BMGs followed by quenching enables the preparation of B2 CuZr BMG composites. The B2 precipitates are small, high in number and uniformly distributed when compared to conventional BMG composites prepared by melt-quenching. Such composite microstructures allow the direct observation of crystal sizes and numbers, so that crystallization kinetics of deeply supercooled liquids can be studied as they are flash-annealed. The nucleation kinetics of devitrified metallic glass significantly diverge from the steady-state and at high heating rates above 90 K/s transient nucleation effects become evident. This transient nucleation phenomenon is studied experimentally for the first time in the current thesis. Once supercritical nuclei are present, they begin to grow. The crystallization temperature, which depends on the heating rate, determines the crystal growth rate. At a later stage of crystallization a thermal front traverses the BMG specimen. In levitation experiments, this thermal front is taken as the solid-liquid interface and its velocity as the steady-state crystal growth rate. However, the thermal front observed during flash-annealing, propagates through the specimen about a magnitude faster than is known from solidification experiments of levitated supercooled liquids. As microstructural investigations show, crystals are present in the whole specimen, that means far ahead of the thermal front. Therefore, it does not represent the solid-liquid interface and results from the collective growth of crystals in confined volumes. This phenomenon originates from the high density of crystals and becomes evident during the heating of metallic glass. It could be only observed for the first time in the current thesis due to the high temporal resolution of the high-speed camera used. The heating rate and temperature to which the BMG is flash-annealed determine the nucleation rate and the time for growth, respectively. The size and number of B2 CuZr crystals can be deliberately varied. Thus mechanical properties of B2 CuZr BMG composites can be studied as a function of the volume fraction and average distance of B2 particles. Cu44Zr44Al8Hf2Co2 BMG specimens were flash-annealed at a lower and higher heating rate (35 K/s and 180 K/s) to different temperatures above Tx and subsequently subjected to uniaxial compression. BMG composites prepared at higher temperatures show a lower yield strength and larger plastic strain due to the higher crystalline volume fraction. They not only exhibit plasticity in uniaxial compression, but also ductility in tension as a preliminary experiment demonstrates. Furthermore, nanocrystals precipitate in the amorphous matrix of BMG composites during deformation. They grow deformation-induced from quenched-in nuclei, which are stimulated during flash-annealing. In essence, flash-annealing of BMGs is capable of giving insight into most fundamental scientific questions. It provides a deeper understanding of how annealing affects the structural state of metallic glasses. The number and size of structural heterogeneities can be adjusted to prepare BMGs with improved plasticity. Furthermore, crystallization kinetics of liquids can be studied as they are rapidly heated. Transient nucleation effects arise during rapid heating of BMGs and they cannot be described using the steady-state nucleation rate. Therefore, an effective nucleation rate was introduced. Besides, the flash-annealing process rises the application potential of BMGs. The microstructure of BMG composites comprised of uniformly distributed crystals and the glass, can be reliably tailored. Thus, flash-annealing constitutes a novel method to design the mechanical properties of BMG composites in a reproducible manner for the first time. BMG composites, which exhibit high strength, large plasticitiy and as in the case of B2 CuZr BMG composites as well work-hardening behaviour, can be prepared, so that the intrinsic brittleness of monolithic BMGs is effectively overcome.

Die Anwendung des Verfahrens der inversen Parameteridentifikation auf die Nanoindentation mit einer neuen Materialklasse (amorphe Legierungen) ist Hauptgegenstand der vorliegenden Arbeit. Um die Methode auf ihre Zuverlässigkeit hin zu überprüfen, werden darüber hinaus die drei Härtevergleichsplatten HV240, HV400 und HV720 sowie das oxidische Glas BK7, deren Nanoindentationsmessungen von Dipl.-Ing. André Clausner schon zu einem früheren Zeitpunkt vorgenommen wurden, zur Berechnung herangezogen. Die Auswahl der Materialien erfolgte so, dass diese einen möglichst großen Bereich von Y abdecken, von BK7 bis hin zu HV240. Damit soll gezeigt werden, dass das Verfahren der inversen Parameteridentifikation für einen großen Bereich von natürlich vorkommenden Materialien genutzt werden kann. Der Schwerpunkt liegt dabei auf der Bestimmung des Fließverhaltens, das durch die Parameter Fließgrenze1 Y und Verfestigungsexponent n erfolgt. Ziel ist es, in Zukunft auf weitere Experimente, die bisher zur Bestimmung der mechanischen Materialeigenschaften genutzt wurden und häufig zur Zerstörung der Proben führten, verzichten zu können. Für viele Gläser, z.B. BK7, sind derartige zerstörende Versuche nicht anwendbar, weil spröde Materialien splittern statt plastisch zu fließen. Dieser Arbeit liegt die Methode der Finiten-Elemente zugrunde, um eine inverse Parameteridentifikation zu realisieren. Sie wird hier eingesetzt, weil es sich bei plastischer Verformung um einen nichtlinearen Prozess2 handelt, der analytisch nicht mehr geschlossen gelöst werden kann. Die Simulationssoftware ANSYS R und ein Optimierungsmodul (SPC-OPT) der Fakultät für Maschinenbau dienen zur Berechnung. Bei der Simulation werden dabei ein zweidimensionales Modell und ein realitätsnahes dreidimensionales Modell eingesetzt.

This work contributes to the structure investigation on the basis of small-angle neutron scattering (SANS). A new analytical scattering function for polydispers precipitates with diffusion zones is presented and used in SANS experiments. For diluted and dense packed systems structure describing parameter values were obtained. These results lead to a deeper understanding of the process of nanocristallization of amorphous alloys. The investigation of SANS on Fe73.5Si15.5B7Cu1Nb3 shows that the Fe3Si type nanocrystals created in the amorphous matrix during annealing are covered by Nb-atoms. The accumulation of Nb-atoms or Nb-B-aggregates acting as inhibitors at the surface of the nanocrystals is assumed to be the basic mechanism controlling the evolution of the precipitates. For the first time this inhibitor-model is shown to be correct without doubts. In the Zr32Ti7.5Al10Cu20Ni8 amorphous alloy the formation of ultrafine nanocystals of about 2-3 nm in diameter was observed. The nanocrystallization starts after ordered clusters achieved particular sizes and a certain packing fraction. This leads to a new model for the microscopic formation procedure of ultrafine nanocrystals in this amorphous alloy. Theoretical models of fractal systems are applied to complicated polydisperse materials. Both the theory for an exact surface fractal of Hermann (1994)and the model for coupled volume and surface fractals in the formulation of Wong (1992) are shown to be applicable. The latter approach is applied to experimental data here for the first time. With computer simulations conditions for scattering experiments were optained therewith predictions about the quality and grade of fractality in real specimens become possible. / Die vorliegende Arbeit ist ein Beitrag zur Strukturaufklärung mittels Neutronen-Kleinwinkel-Streuung (SANS). Es wird eine neu entwickelte analytische Streufunktion für polydisperse Ausscheidungen mit Diffusionszonen genutzt, um SANS Experimente auszuwerten. Sowohl für verdünnte, als auch für dicht gepackte Systeme werden auf diese Weise quantitative Strukturparameter gewonnen. Diese liefern einen Beitrag zum Verständnis des Nanokristallisationsverhaltens amorpher metallischer Gläser. Die Auswertung der Experimente an on Fe73.5Si15.5B7Cu1Nb3 zeigt, dass Fe3Si-artige Nanokristalle, die während der Temperaturbehandlung in der amorphen Matrix entstehen, von Nb-Atomen bedeckt werden. Diese Ansammlung von Nb-Atomen oder von entsprechenden Nb-B-Aggregaten auf der Oberfläche dieser Ausscheidungen hemmt das Größenwachstum der entstehenden Nanokristalle. Dieses Inhibitor-Modell wurde hier erstmals zweifelsfrei bestätigt. In Proben des amorphen metallischen Glases Zr32Ti7.5Al10Cu20Ni8 werden ultrafeine Ausscheidungen mit Durchmessern von 2-3 nm beobachtet. Diese entstehen verzögert nach der Ausprägung dicht gepackter Gebiete mit erhöhter Nahordnungsstruktur. Es wird ein Modell vorgeschlagen, das diesen Prozess erklären kann. Theoretisch diskutierte Modelle für fraktale Systeme werden auf komplizierte polydisperse Materialien angewendet. Sowohl die Formulierung von Hermann (1994) für ein exaktes Oberflächenfraktal, als auch der erstmals auf experimentelle Daten angewendete Ansatz von Wong (1992) für ein gekoppeltes Volumen- und Oberflächenfraktal erweisen sich als praktisch nutzbar. Mittels Computersimulationen wurden Bedingungen abgeleitet, die an Streuexperimente zu stellen sind, damit Aussagen über Qualität und Grad von Fraktalität in realen Proben getroffen werden können.

No description available.

No description available.

Bulk metallic glasses represent a newly developed class of materials. Some metallic glasses possess combinations of very good or even excellent mechanical, chemical and/or magnetic properties uncovering a broad range of both industrial and vital applications. Besides all advantages metallic glasses have also significant drawbacks, which have to be overcome for commercial application. Apart from low critical thicknesses, brittleness and chemical inhomogeneity one important problem of metallic glasses is the lack of an appropriate theory describing their structure. Therefore, the search for new glass forming compositions as well as the improving of existing ones occurs at present by means of trial-and-error methods and a number of empirical rules. Empirical rules for good glass-forming ability of bulk metallic glasses have been established in recent years by Inoue and Egami. Two of these rules, (i) Preference of more than 3 elements and (ii) Need of more than 12 % radii difference of base elements, seem to be closely related to topological (geometrical) criteria. From this point of view topological parameters contribute essentially to the glass-forming ability. The third rule (iii) demands a negative mixing enthalpy of base elements and refers to the chemical interaction of the atoms. The generalized Bernal’s model (hard-sphere approximation) was used for the simulation of monatomic, binary and multi-component structures. Excluding chemical interaction, this method allows the investigation of topological criteria of the glass-forming ability. Bernal’s hard-sphere model was shown to be a good approximation for bulk metallic glasses and metallic liquids and yields good coincidence of experimental and theoretical results. • The Laguerre (weighted Voronoi) tessellation technique was used as the main tool for the structural analysis. Due to very complex structures it is impossible to determine the structure of bulk metallic glasses by means of standard crystallographic methods. • Density, radial distribution function, coordination number and Laguerre polyhedra analysis confirm amorphism of the simulated structures and are in a good agreement with available experimental results. • The ratio of the fractions of non-crystalline to crystalline Laguerre polyhedra faces was introduced as a new parameter . This parameter reflects the total non-crystallinity of a structure and the amount of atomic rearrangements necessary for crystallization. Thus, the parameter is related to the glass-forming ability. It depends strongly on composition and atomic size ratio and indicates a region of enhanced glass-forming ability in binary mixtures at 80 % of small atoms and atomic size ratio of 1.3. All found maxima of parameter for ternary mixtures have compositions and size ratios which are nearly the same as for the binary mixture with the maximum value of . • A new method of multiple-compression was introduces in order to test the tendency towards densification and/or crystallization of the simulated mixtures. The results of the multiple-compression of monatomic mixtures indicate a limiting value of about 0.6464 for the density of the amorphous state. Further densification is necessarily connected to formation and growth of nano-crystalline regions. • The results of the multiple-compression for binary mixtures shows a new maximum of the density at the size ratio of 1.3 and 30 % to 90 % of small atoms. This maximum indicates a local island of stability of the amorphous state. The maximal receivable density without crystallization in this region is enhanced compared to neighbouring regions. • The comparison of the parameter and the density to the distribution of known binary bulk metallic (metal-metal) glasses clearly shows that both parameters play a significant role in the glass-forming ability. • The polyhedra analysis shows regions with enhanced fraction of the icosahedral short-range order (polyhedron (0, 0, 12)) in the binary systems with the maximum at 80 % of small atoms and size ratio of 1.3. Comparison of the distribution of the (0, 0, 12) polyhedra to the distribution of known binary metallic (metal-metal) glasses and to the parameter shows that icosahedral short-range order is not related to the glass-forming ability and is a consequence of the high non-crystallinity (high values of ) of the mixtures and non vice versa. Results for the ternary mixtures confirm this observation. • A new approach for the calculation of the mixing enthalpy is proposed. The new method is based on the combination of Miedema’s semi-empirical model and Laguerre tessellation technique. The new method as well as 6 other methods including the original Miedema’s model were tested for more than 1400 ternary and quaternary alloys. The results show a better agreement with experimental values of the mixing enthalpy for the new model compared to all other methods. The new model takes into account the local structure at atom site and can be applied to all metallic alloys without additional extrapolations if the atomic structure of the considered alloy is known from a suitable atomistic structure model.

Bulk metallic glasses represent a newly developed class of materials. Some metallic glasses possess combinations of very good or even excellent mechanical, chemical and/or magnetic properties uncovering a broad range of both industrial and vital applications. Besides all advantages metallic glasses have also significant drawbacks, which have to be overcome for commercial application. Apart from low critical thicknesses, brittleness and chemical inhomogeneity one important problem of metallic glasses is the lack of an appropriate theory describing their structure. Therefore, the search for new glass forming compositions as well as the improving of existing ones occurs at present by means of trial-and-error methods and a number of empirical rules. Empirical rules for good glass-forming ability of bulk metallic glasses have been established in recent years by Inoue and Egami. Two of these rules, (i) Preference of more than 3 elements and (ii) Need of more than 12 % radii difference of base elements, seem to be closely related to topological (geometrical) criteria. From this point of view topological parameters contribute essentially to the glass-forming ability. The third rule (iii) demands a negative mixing enthalpy of base elements and refers to the chemical interaction of the atoms. The generalized Bernal’s model (hard-sphere approximation) was used for the simulation of monatomic, binary and multi-component structures. Excluding chemical interaction, this method allows the investigation of topological criteria of the glass-forming ability. Bernal’s hard-sphere model was shown to be a good approximation for bulk metallic glasses and metallic liquids and yields good coincidence of experimental and theoretical results. • The Laguerre (weighted Voronoi) tessellation technique was used as the main tool for the structural analysis. Due to very complex structures it is impossible to determine the structure of bulk metallic glasses by means of standard crystallographic methods. • Density, radial distribution function, coordination number and Laguerre polyhedra analysis confirm amorphism of the simulated structures and are in a good agreement with available experimental results. • The ratio of the fractions of non-crystalline to crystalline Laguerre polyhedra faces was introduced as a new parameter . This parameter reflects the total non-crystallinity of a structure and the amount of atomic rearrangements necessary for crystallization. Thus, the parameter is related to the glass-forming ability. It depends strongly on composition and atomic size ratio and indicates a region of enhanced glass-forming ability in binary mixtures at 80 % of small atoms and atomic size ratio of 1.3. All found maxima of parameter for ternary mixtures have compositions and size ratios which are nearly the same as for the binary mixture with the maximum value of . • A new method of multiple-compression was introduces in order to test the tendency towards densification and/or crystallization of the simulated mixtures. The results of the multiple-compression of monatomic mixtures indicate a limiting value of about 0.6464 for the density of the amorphous state. Further densification is necessarily connected to formation and growth of nano-crystalline regions. • The results of the multiple-compression for binary mixtures shows a new maximum of the density at the size ratio of 1.3 and 30 % to 90 % of small atoms. This maximum indicates a local island of stability of the amorphous state. The maximal receivable density without crystallization in this region is enhanced compared to neighbouring regions. • The comparison of the parameter and the density to the distribution of known binary bulk metallic (metal-metal) glasses clearly shows that both parameters play a significant role in the glass-forming ability. • The polyhedra analysis shows regions with enhanced fraction of the icosahedral short-range order (polyhedron (0, 0, 12)) in the binary systems with the maximum at 80 % of small atoms and size ratio of 1.3. Comparison of the distribution of the (0, 0, 12) polyhedra to the distribution of known binary metallic (metal-metal) glasses and to the parameter shows that icosahedral short-range order is not related to the glass-forming ability and is a consequence of the high non-crystallinity (high values of ) of the mixtures and non vice versa. Results for the ternary mixtures confirm this observation. • A new approach for the calculation of the mixing enthalpy is proposed. The new method is based on the combination of Miedema’s semi-empirical model and Laguerre tessellation technique. The new method as well as 6 other methods including the original Miedema’s model were tested for more than 1400 ternary and quaternary alloys. The results show a better agreement with experimental values of the mixing enthalpy for the new model compared to all other methods. The new model takes into account the local structure at atom site and can be applied to all metallic alloys without additional extrapolations if the atomic structure of the considered alloy is known from a suitable atomistic structure model.

No description available.

No description available.

This work contributes to the structure investigation on the basis of small-angle neutron scattering (SANS). A new analytical scattering function for polydispers precipitates with diffusion zones is presented and used in SANS experiments. For diluted and dense packed systems structure describing parameter values were obtained. These results lead to a deeper understanding of the process of nanocristallization of amorphous alloys. The investigation of SANS on Fe73.5Si15.5B7Cu1Nb3 shows that the Fe3Si type nanocrystals created in the amorphous matrix during annealing are covered by Nb-atoms. The accumulation of Nb-atoms or Nb-B-aggregates acting as inhibitors at the surface of the nanocrystals is assumed to be the basic mechanism controlling the evolution of the precipitates. For the first time this inhibitor-model is shown to be correct without doubts. In the Zr32Ti7.5Al10Cu20Ni8 amorphous alloy the formation of ultrafine nanocystals of about 2-3 nm in diameter was observed. The nanocrystallization starts after ordered clusters achieved particular sizes and a certain packing fraction. This leads to a new model for the microscopic formation procedure of ultrafine nanocrystals in this amorphous alloy. Theoretical models of fractal systems are applied to complicated polydisperse materials. Both the theory for an exact surface fractal of Hermann (1994)and the model for coupled volume and surface fractals in the formulation of Wong (1992) are shown to be applicable. The latter approach is applied to experimental data here for the first time. With computer simulations conditions for scattering experiments were optained therewith predictions about the quality and grade of fractality in real specimens become possible. / Die vorliegende Arbeit ist ein Beitrag zur Strukturaufklärung mittels Neutronen-Kleinwinkel-Streuung (SANS). Es wird eine neu entwickelte analytische Streufunktion für polydisperse Ausscheidungen mit Diffusionszonen genutzt, um SANS Experimente auszuwerten. Sowohl für verdünnte, als auch für dicht gepackte Systeme werden auf diese Weise quantitative Strukturparameter gewonnen. Diese liefern einen Beitrag zum Verständnis des Nanokristallisationsverhaltens amorpher metallischer Gläser. Die Auswertung der Experimente an on Fe73.5Si15.5B7Cu1Nb3 zeigt, dass Fe3Si-artige Nanokristalle, die während der Temperaturbehandlung in der amorphen Matrix entstehen, von Nb-Atomen bedeckt werden. Diese Ansammlung von Nb-Atomen oder von entsprechenden Nb-B-Aggregaten auf der Oberfläche dieser Ausscheidungen hemmt das Größenwachstum der entstehenden Nanokristalle. Dieses Inhibitor-Modell wurde hier erstmals zweifelsfrei bestätigt. In Proben des amorphen metallischen Glases Zr32Ti7.5Al10Cu20Ni8 werden ultrafeine Ausscheidungen mit Durchmessern von 2-3 nm beobachtet. Diese entstehen verzögert nach der Ausprägung dicht gepackter Gebiete mit erhöhter Nahordnungsstruktur. Es wird ein Modell vorgeschlagen, das diesen Prozess erklären kann. Theoretisch diskutierte Modelle für fraktale Systeme werden auf komplizierte polydisperse Materialien angewendet. Sowohl die Formulierung von Hermann (1994) für ein exaktes Oberflächenfraktal, als auch der erstmals auf experimentelle Daten angewendete Ansatz von Wong (1992) für ein gekoppeltes Volumen- und Oberflächenfraktal erweisen sich als praktisch nutzbar. Mittels Computersimulationen wurden Bedingungen abgeleitet, die an Streuexperimente zu stellen sind, damit Aussagen über Qualität und Grad von Fraktalität in realen Proben getroffen werden können.