Shear band evolution in Zr/Hf-based bulk metallic glasses under static and dynamic indentations

Bulk metallic glasses (BMGs) exhibit superior mechanical properties as compared with other conventional materials and have been proposed for numerous engineering and technological applications. Zr/Hf-based BMGs or tungsten reinforced BMG composites are considered as a potential replacement for depleted uranium armor-piercing projectiles because of their ability to form localized shear bands during impact, which has been known to be the dominant plastic deformation mechanism in BMGs. However, in conventional tensile, compressive and bending tests, limited ductility has been observed because of fracture initiation immediately following the shear band formation. To fully investigate shear band characteristics, indentation tests that can confine the deformation in a limited region have been pursued. In this thesis, a detailed investigation of thermal stability and mechanical deformation behavior of Zr/Hf-based BMGs is conducted. First, systematic studies had been implemented to understand the influence of relative compositions of Zr and Hf on thermal stability and mechanical property evolution. Second, shear band evolution under indentations were investigated experimentally and theoretically. Three kinds of indentation studies were conducted on BMGs in the current study. (a) Nano-indentation to determine the mechanical properties as a function of Hf/Zr content. (b) Static Vickers indentation on bonded split specimens to investigate the shear band evolution characteristics beneath the indention. (c) Dynamic Vickers indentation on bonded split specimens to investigate the influence of strain rate. It was found in the present work that gradually replacing Zr by Hf remarkably increases the density and improves the mechanical properties. However, a slight decrease in glass forming ability with increasing Hf content has also been identified through thermodynamic analysis although all the materials in the current study were still found to be amorphous. Many indentation studies have revealed only a few shear bands surrounding the indent on the top surface of the specimen. This small number of shear bands cannot account for the large plastic deformation beneath the indentations. Therefore, a bonded interface technique has been used to observe the slip-steps due to shear band evolution. Vickers indentations were performed along the interface of the bonded split specimen at increasing loads. At small indentation loads, the plastic deformation was primarily accommodated by semi-circular primary shear bands surrounding the indentation. At higher loads, secondary and tertiary shear bands were formed inside this plastic zone. A modified expanding cavity model was then used to predict the plastic zone size characterized by the shear bands and to identify the stress components responsible for the evolution of the various types of shear bands. The applicability of various hardness—yield-strength ( H −σγ ) relationships currently available in the literature for bulk metallic glasses (BMGs) is also investigated. Experimental data generated on ZrHf-based BMGs in the current study and those available elsewhere on other BMG compositions were used to validate the models. A modified expanding-cavity model, employed in earlier work, was extended to propose a new H −σγ relationship. Unlike previous models, the proposed model takes into account not only the indenter geometry and the material properties, but also the pressure sensitivity index of the BMGs. The influence of various model parameters is systematically analyzed. It is shown that there is a good correlation between the model predictions and the experimental data for a wide range of BMG compositions. Under dynamic Vickers indentation, a decrease in indentation hardness at high loading rate was observed compared to static indentation hardness. It was observed that at equivalent loads, dynamic indentations produced more severe deformation features on the loading surface than static indentations. Different from static indentation, two sets of widely spaced semi-circular shear bands with two different curvatures were observed. The observed shear band pattern and the strain rate softening in indentation hardness were rationalized based on the variations in the normal stress on the slip plane, the strain rate of shear and the temperature rise associated with the indentation deformation. Finally, a coupled thermo-mechanical model is proposed that utilizes a momentum diffusion mechanism for the growth and evolution of the final spacing of shear bands. The influence of strain rate, confinement pressure and critical shear displacement on the shear band spacing, temperature rise within the shear band, and the associated variation in flow stress have been captured and analyzed. Consistent with the known pressure sensitive behavior of BMGs, the current model clearly captures the influence of the normal stress in the formation of shear bands. The normal stress not only reduces the time to reach critical shear displacement but also causes a significant temperature rise during the shear band formation. Based on this observation, the variation of shear band spacing in a typical dynamic indentation test has been rationalized. The temperature rise within a shear band can be in excess of 2000K at high strain rate and high confinement pressure conditions. The associated drop in viscosity and flow stress may explain the observed decrease in fracture strength and indentation hardness. The above investigations provide valuable insight into the deformation behavior of BMGs under static and dynamic loading conditions. The shear band patterns observed in the above indentation studies can be helpful to understand and model the deformation features under complex loading scenarios such as the interaction of a penetrator with armor. Future work encompasses (1) extending and modifying the coupled thermo-mechanical model to account for the temperature rise in quasistatic deformation; and (2) expanding this model to account for the microstructural variation-crystallization and free volume migration associated with the deformation.

The Electrical Resistance of Metals and Alloys in Their Hard and Soft States

It is known that the electrical resistance of annealed metals is usually smaller than that of metals in their cold worked state. The curve showing the relation between electrical resistance and annealing temperature reaches a minimum; continued annealing at higher temperature produces an increase in the electrical resistance. In the case of alloys it has been noted that a second decrease occurs at higher annealing temperature. The following work corroborates the observance of previous investigations. The electrical resistance of cold worked copper, gold, nickel, and iron decreased with annealing and then increased, the minimum being around 300° C. or 400° C. Monel metal showed a minimum resistance followed by an increase which in turn was followed by a second decrease.

The Rate of Precipitation of Copper Aluminide in the Silver Rich Silver-Copper-Aluminum Alloys

In order to determine the best annealing temperature at which to age-harden the alloys, hardness tests on speci­men annealed for different lengths of time at different temperatures were made.

Alloys of Lead and Tellurium

Prior to the last few years little practical use was made of the element tellurium, which is obtained from gold and silver tellurides and from the slimes of electro­lytic copper refineries. Lately, however, more study has been made of its properties when alloyed with other metals. It was the purpose of this thesis to study the effects of the addition of tellurium to lead, particularly in small amounts.

An Investigation of the Properties of some of the White Metal Alloys

Although there is no standardized list of alloys, most investigators have, to avoid confusion, concurred in at least grouping the metals under several general heads. Precious metals: gold, silver and the platinum group; the light metals: aluminum and magnesium; the non-ferrous metals (excluding all steels and iron-base alloys); and the antifriction metals.

The Electrical Conductivity of the Copper-Aluminum Alloys.

Among the many aluminum alloys which have been studied are the binary copper-aluminum alloys. These have proven to be among the most useful of the alumi­num alloys thus far worked upon.

Age Hardening of Silver-Platinum Alloys

The alloy system selected for study was the binary alloy of platinum and silver. An examination of the various silver alloy diagrams revealed that of several possible alloys, the silver platinum was the most suit­able with regard to solubility.

Some Preliminary Investiagtions of the Magnetic Permeabilities of Alloys of the Ferromagnetic Metals

The problem presented for this thesis was an investigation of the magnetic properties of the alloys produced by the methods of powder metallurgy. The question behind this was the correlation of the magnetic properties with the bonding properties and with the diffusion of the constituents.

The Electroformation of Lithium-Lead Alloys from Molten Electrolytes

An attempt was made to make lead-lithium alloys by electrodeposition of lithium using a molten bath and a molten lead cathode.The variables taken into consideration were: composition of the melt, temperature of the melt, and current density. The purpose of changing these factors was to determine what effect each had on the current efficiency.

Some Effects of the Addition of Tellurium to Lead Alloys

From the standpoint of its practical useful­ness, the most important characteristics of metallic lead are its cheapness, resistance to corrosion, plas­ticity, high specific gravity, low melting point, and its ability to form alloys in which some properties are modified by the addition of other elements, while other properties remain the same.

The Electrodeposition of Iron-Manganese Alloys

Various electrolytes were experimented with in an attempt to deposit an iron-manganese alloy. An Alloy was obtained from a solution containing ferrous ammonium sulfate, manganous sulfate, and ammonium sulfate. Further experimentation was done in an effort to determine the optimum conditions of deposition and the highest manganese alloy which could be produced.

The Electrodeposition of Iron-Manganese Alloys

An electrodeposition of an iron-manganese alloy was made from the same conditions determined by previous re­search. Various addition agents were experimented with in an attempt to produce better conditions for electro-deposition. It was found advantageous to add small a­mounts of sodium lauryl sulfate and ammonium sulfite to the electrolyte.

Age Hardening of Copper Antimony Alloys

A large number of alloys of varying percentages of copper and antimony were prepared. These alloys were treated in various ways which might be expected to produce age hardening. The effect of cold working was studied in the range where the alloys were malleable.

The Electrodeposition of Copper-Cobalt Alloys

An attempt was made to deposit a 50:50 copper-cobalt alloy from various sulfate electrolytes. No true 50:50 alloy was obtained but various mixtures of cobalt and copper rich crystals were deposited.

Hydrogen Overvoltage of Cadmium Bismuth and Antimony Bismuth Alloys

A method to measure hydrogen overvoltage was devel­oped and checked with metals of known overvoltage. Alloys of bismuth and antimony and of bismuth and cad­mium were prepared and their overvoltages determined.