The synthesis of in-situ bulk metallic glass composites (BMGCs) with crystals that undergo a martensitic transformation under loading is possibly the most effective method to improve the plasticity of metallic glasses at room temperature. These martensitic or shape memory BMGCs are typically fabricated via solidification of glass-forming melts, which requires the meticulous selection of the chemical composition and the proper choice of the processing parameters (particularly the cooling rate) in order to ensure that the glassy matrix coexists with the desired amount of austenitic phase having suitable morphology and characteristics. Unfortunately, a relatively limited number of alloy systems, where austenite and glassy matrix coexist over a wide range of compositions, is available. Additionally, the necessity for rapid heat extraction and the corresponding high cooling rates essential for glass formation by melt solidification set an inherent limit to the achievable dimensions of BMGs and BMGCs specimens.
The aim of this thesis is to study the effectiveness of powder metallurgy as an alternative to solidification for the synthesis of shape memory BMGCs. Ni50.6Ti49.4 and Zr48Cu36Al8Ag8 metallic glass powders were selected as the constituents of the composites because they have been extensively investigated and represent well the characteristic behavior of metallic glass and shape memory phases. BMGCs with different volume fractions of NiTi phase were fabricated using pressure-assisted sintering via hot pressing and their microstructure, mechanical properties and deformation mechanism were investigated. Particular focus was placed upon identifying the individual contributions of the martensitic transformation and shear band formation to plasticity as well as their mutual interaction at different length scales using a multidisciplinary approach involving experiments and simulations.
BMG composites were synthesized by hot pressing of powder mixtures consisting of Zr48Cu36Al8Ag8 metallic glass and different amounts of Ni50.6Ti49.4 particles (10, 20, 40 and 60 vol.%) using the optimized consolidation parameters (temperature-time-pressure) determined for the monolithic BMG. All composites are characterized by a relatively uniform particle distribution and good interface bonding without any sign of reaction between the metallic glass and NiTi. The NiTi particles are progressively less isolated with increasing volume fraction of NiTi up to 40 % and, for the BMGC with 60 vol.% NiTi, the glassy particles are no longer connected and the NiTi phase becomes the continuous matrix. This is not a trivial achievement as the change of matrix while maintaining the structure of the constituent phases would not be easily obtained by solidification of melts with such different compositions. The size of the samples (10 mm diameter and 9 - 11 mm height) is larger than the characteristic BMGCs synthesized by casting and can, in principle, be scaled up to larger dimensions, demonstrating the effectiveness of this approach for overcoming the size limitation inherent to glass formation via solidification.
In contrast to the monolithic BMG, which does not show any sign of plasticity, the BMGCs exhibit macroscopic plastic deformation that progressively increases with increasing NiTi content along with distinct strain-hardening. The BMG composites have similar fracture strength, which is comparable with the monolithic BMG, and exhibit a distinct double yield behavior, similar to shape memory BMGCs fabricated by casting. The deformed BMGCs exhibit a high density of shear bands, again in agreement with what observed for similar BMGCs fabricated by casting.
These findings not only demonstrate that BMGCs with tunable microstructures and thus with optimized deformability can be synthesized by pressure-assisted sintering but, thanks to the phase stability of the components across such a wide range of compositions, also offer an excellent platform to examine fundamental aspects in the field of martensitic BMGCs.
The confining stress exerted by the surrounding glassy matrix was quantified at the macroscale via a hybrid Voigt-Reuss mixture, which considers intermediate weighted combinations of stiff and compliant behaviors. In this way, the macroscopic stress required to initiate the martensitic transformation from B2 to B19´ can be described with rather good accuracy. The confining effect was further investigated by in-situ high-energy X-ray diffraction to have access to the strain tensor of the B2 phase as a function of loading. The results indicate that the confining stress along the direction perpendicular to the loading axis is particularly strong because the expansion of the B2 phase is constrained by the elastic matrix.
A mechanism responsible for shear band formation in shape memory BMGCs is proposed. The stress field generated by the martensitic transformation in the contiguous glass would activate the adjacent shear transformation zone (STZ, the elementary units of plasticity in BMGs). The stress field induced by the activated STZ in the surrounding material then triggers the activation of the following STZs along the path of a potential shear band, in an autocatalytic process resembling the domino effect. The shear band formed in this way propagates through the glassy phase and, when impinging a B2 particle, the associated stress field would locally trigger the martensitic transformation, starting again the process. Molecular dynamics (MD) simulations of a martensitic BMGC show that the structural perturbation generated by the martensitic transformation is indeed transmitted to the adjacent glassy matrix and, in turn, to the developing shear band, in agreement with the proposed mechanism.
The individual contribution of the glassy phase to the residual strain after each loading-unloading cycle was quantified assuming that the NiTi phase behaves in the same manner across the different specimens. The glass contribution was then correlated to the shear band density to obtain the plastic strain resulting from shear banding for a given amount of NiTi phase, a quantity that could be effectively used in the design of plastically-deformable BMGCs with shape memory particles.
The martensitic transformation in the composites becomes progressively more irreversible with increasing strain. A large contribution to the martensite stabilization may come from the residual stress induced by the shear bands, in accordance with the finite element method (FEM) simulations, showing that residual stresses in the composites suppress the reverse transformation after unloading. These finding corroborates the hypothesis that the residual elastic stress field generated by the shear bands may be fundamental for stabilizing the martensitic phase by restraining the atoms at the glass-crystal interface from rearranging back to form austenite. This process can be reversed by proper heat treatment.
The findings presented in this thesis offer the opportunity to synthesize shape memory BMG composites with enhanced plasticity and strain-hardening capability along with larger dimensions than those typically achieved by solidification. The powder metallurgy approach provides the necessary versatility in materials design and resulting properties of the composites via the control over the fundamental microstructural features, such as volume fraction, size, morphology and distribution of the second phase. Additionally, materials processing in the solid state gives a virtually infinite choice among the possible composite components, a degree of freedom not usually given when processing via solidification.:Abstract iii
Kurzfassung vii
Motivation and objectives xi
1 Theoretical background and state-of-the-art 1
1.1 Bulk metallic glasses (BMGs) 1
1.1.1 Formation of metallic glasses 2
1.1.2 Mechanical properties of BMGs 5
1.1.3 Shear bands in metallic glasses 8
1.2 Bulk metallic glass matrix composites 19
1.2.1 Fabrication of BMG composites 20
1.2.2 In-situ BMG composites 27
1.2.3 Ex-situ BMG composites 43
2 Experiments and simulations 57
2.1 Sample preparation 57
2.1.1 Starting materials 57
2.1.2 Powder mixing 59
2.1.3 Powder consolidation 60
2.2 Materials characterization 61
2.2.1 Composition analysis 61
2.2.2 Laboratory X-ray diffraction 61
2.2.3 High-energy X-ray diffraction and strain analysis 62
2.2.4 Viscosity measurements 63
2.2.5 Differential scanning calorimetry 64
2.2.6 Density measurements 64
2.2.7 X-ray computed tomography 65
2.2.8 Optical microscopy and scanning electron microscopy 65
2.2.9 Transmission electron microscopy 66
2.2.10 Elastic constants measurements 66
2.2.11 Mechanical tests 67
2.3 Molecular dynamic simulations 67
2.4 Finite element simulations 68
3 Pressure-assisted sintering of single-phase Zr48Cu36Al8Ag8 metallic glass and Ni50.6Ti49.4 powders 73
3.1 Synthesis and properties of single-phase Zr48Cu36Al8Ag8 bulk metallic glass 73
3.2 Synthesis and properties of single-phase Ni50.6Ti49.4 shape memory alloy 80
4 Pressure-assisted sintering of BMG composites with shape memory crystals: Microstructure and mechanical properties 87
4.1 Microstructure of BMG composites 87
4.2 Effect of NiTi volume fraction on mechanical properties 90
4.3 Effect of confinement of the glassy phase on the martensitic transformation 95
5 Deformation mechanism of shape memory BMG composites 101
5.1 Martensitic transformation and shear band formation 101
5.2 Mechanism of shear band formation in shape memory BMG composites 107
6 Reversibility of the martensitic transformation in shape memory BMG composites 113
6.1 Martensite stabilization in NiTi alloy and BMG composites 113
6.2 Simulation of the martensite stabilization effect in BMG composites 119
6.3 Effect of heat treatment on the martensitic reverse transformation 121
7 Summary and outlook 125
References 131
Acknowledgements 155
Publications 157
Erklärung 15