Experimental and Computational Investigations of Strain Localization in Metallic Glasses


Book Description

Abstract: Metallic glasses are metallic alloy systems with disordered atomic structure. Due to their unique amorphous structure, they exhibit an extraordinary set of properties that are ideal for a wide variety of applications ranging from electrical transformers, armor-piercing projectiles, sporting goods and fuel cells to precision gears for micromotors. In particular, owing to their exceptional mechanical properties like near-theoretical strength (1-3 GPa), large elastic strain range (2-3%), and unusual formability above the glass transition temperature, metallic glasses have tremendous potential in structural applications. Unfortunately, their unique structure also gives rise to significant limitations, such as limited ductility at room temperature due to rapid localization of plastic flow in shear bands. However, when the test volumes approach the size of a shear band nucleus (~50-500 nm), it is believed that shear band formation and propagation can be constrained, leading to enhanced plasticity and failure strength. This study investigates the phenomenon of strain localization using both experimental and computational techniques. On the experimental front, sample size effects on strength, plasticity and deformation modes were explored in a Zr-based bulk metallic glass via micron- and sub-micron scale compression testing. Specimens with diameters ranging from 200 nm to a few microns were fabricated using Focused Ion Beam technique and were tested under uniaxial compression in a nanoindentation set-up with a flat punch tip. Effect of extrinsic factors like specimen geometry and machine stiffness on deformation behavior was discussed. Shear banding was shown to be more stable at this length scale than in macro-scale testing because of a smaller specimen to load frame stiffness ratio. It was found that as the specimen size is reduced to below 300 nm, the deformation mode changes from being discrete and inhomogeneous to more continuous flow including both localized and non-localized contributions at low strains. Moreover, the magnitude of strain bursts was found to decrease with decrease in specimen size. Furthermore, Weibull statistical analysis was performed to investigate the effect of specimen size on yield strength in this metallic glass. It was revealed that the dispersion in strengths increases dramatically with decrease in sample size, attributed to the size distribution of the defects responsible for shear banding. The findings are crucial in designing systems which promote plasticity in metallic glasses by suppressing the shear-band instability and also in direct application of these materials for structural purposes as small components in micro- and nano-scale systems. On the computational front, Molecular Dynamics (MD) simulations have been employed to generate Zr-Cu metallic glass structures. In order to analyze and better understand and visualize the concepts of "free" volume and flow defects in metallic glasses, an electron density model was developed as an upgrade to the traditional hard sphere approaches. Simple tension and shear modes of deformation were simulated using MD in Zr-Cu system, and role of open volume in deformation was studied using the electron density model. In uniaxial tension simulations, effect of temperature and deformation rate is examined, and the process of accumulation of free volume to the point of catastrophic failure is visualized using the Electron Density model. In shear simulations, we find that the as-quenched glass structures undergo homogeneous deformation and do not exhibit any strain localization. However, it is found that by incorporating a cylindrical void in the glass structure as a source of "free" volume, it is possible to induce strain localization. It was found that a critical void diameter of 8 Angstroms was required to successfully initialize strain localization in this system.




Experimental and Computational Investigations of Structure and Plastic Flow in Bulk Metallic Glasses


Book Description

Abstract: Thermo-mechanical processing of metallic glasses has been shown to change the free volume and have some effect on the mechanical properties. In order to better quantify these effects, we have studied the homogeneous flow of metallic glasses and the subsequent changes in atomic ordering, in terms of free volume and x-ray measurements, and mechanical properties via nanoindentation. The internal free volume of the specimens, as measured through changes in the specific heat by differential scanning calorimetry, has been shown to increase with increasing levels of total strain in tension and in compression. X-ray diffraction of amorphous specimens in the as-cast, annealed, and homogeneously deformed state also showed a change in the short-range atomic order of the alloy. The shape of the x-ray patterns for the as-cast and annealed states were nearly identical, while a decrease in intensity of x-rays was seen at high angles of 2[theta] in the homogeneously deformed samples. These high angles describe a change in the state of the short-range order. Nanoindentation has shown slight changes in the elastic properties and density of serrations in amorphous materials with changes in the free volume. Using available embedded atom method potentials, molecular dynamics simulations of several Cu-Zr binary, a Cu-Zr-Al ternary, and a quinternary Zr-Cu-Ni-Al-Ti alloy systems at multiple quench rates from the liquid were performed. Using an annealing/quenching technique that allows the simulation of even extremely slow quench rates, glassy structures of these alloys were produced at varying quench rates and their nearest-neighbor coordination examined. Radial distribution functions of the modeled systems show excellent agreement with experimental data, suggesting that the predicted atomic structure should have realistic features similar to real materials. The glass transition temperatures of several of these alloys were determined through a simulated dilatometry technique. Comparing the features and changes in the nearest-neighbor order and the simulated glass transitions with available experimental data, we found a novel set of criteria to predict the effect of changes in alloy composition on glass forming ability. The change in the distribution of nearest neighbors with quench rate, as compared in alloys with different experimentally determined glass forming abilities, did only provide some insights into the formation of glasses. However, the measurement of the fraction of atomic pairs that exhibited icosahedral-like short-range order was found to be directly related to the relative glass forming abilities of the alloys simulated.




Bulk Metallic Glasses


Book Description

Reflecting the fast pace of research in the field, the Second Edition of Bulk Metallic Glasses has been thoroughly updated and remains essential reading on the subject. It incorporates major advances in glass forming ability, corrosion behavior, and mechanical properties. Several of the newly proposed criteria to predict the glass-forming ability of alloys have been discussed. All other areas covered in this book have been updated, with special emphasis on topics where significant advances have occurred. These include processing of hierarchical surface structures and synthesis of nanophase composites using the chemical behavior of bulk metallic glasses and the development of novel bulk metallic glasses with high-strength and high-ductility and superelastic behavior. New topics such as high-entropy bulk metallic glasses, nanoporous alloys, novel nanocrystalline alloys, and soft magnetic glassy alloys with high saturation magnetization have also been discussed. Novel applications, such as metallic glassy screw bolts, surface coatings, hyperthermia glasses, ultra-thin mirrors and pressure sensors, mobile phone casing, and degradable biomedical materials, are described. Authored by the world’s foremost experts on bulk metallic glasses, this new edition endures as an indispensable reference and continues to be a one-stop resource on all aspects of bulk metallic glasses.




Metallic Glasses


Book Description

Metallic glasses are very promising engineering and functional materials due to their unique mechanical, chemical, and physical properties, attracting increasing attention from both scientific and industrial communities. However, their practical applications are greatly hindered due to three main problems: dimensional limit, poor tension plasticity, and difficulty in machining and shaping. Therefore, further investigation of these issues is urgently required. This book provides readers with recent achievements and developments in the properties and processing of metallic glasses, including mainly thermoplastic forming of metallic glasses (Chapter 2), atomic-level simulation of mechanical deformation of metallic glasses (Chapter 3), metallic glass matrix composites (Chapter 4), and tribo-electrochemical applications of metallic glasses (Chapters 5 and 6).




Search for the Microscopic Origin of Defects and Shear Localization in Metallic Glasses


Book Description

This proposed research addresses one of the long outstanding fundamental problems in materials science, the mechanisms of deformation in amorphous metals. Due to the lack of long-range translational order, details of structural defects and their behaviors in metallic glasses have not been accessible in experiments. In addition, the small dimensions of the amorphous alloys made early by rapid quenching impose severe limit on many standard mechanical and microscopy testing. As a result, the microscopic mechanism of deformation in the amorphous materials has not been established. The recent success in synthesis of bulk metallic glass overcomes the difficulty in standard testing; but the barrier for understanding the defect process and microscopic mechanisms of deformation still remains. Amorphous metals deform in a unique way by shear banding. As a result, there is no work hardening, little macroscopic plasticity, and catastrophic failure. To retain and improve the inherent high strength, large elastic strain, and high toughness in amorphous metals, a variety of synthesis activities are currently underway including making metallic glass matrix composites. These new explorations call for a quantitative understanding of deformation mechanisms in both the monolithic metallic glasses as well as their composites. The knowledge is expected to give insight and guide to design, processing and applications of this new generation of engineering materials. This DOE funded research takes the approach of computer simulation and modeling to tackle this problem. It is expected that with the increasing power of computers, the numerical modeling could provide the answers that are difficult or impossible to get from experiments. Three parallel research tasks were planned in this work. One is on search of atomic structural defects and other microscopic mechanisms underlying the deformation process. The second is the formulate a general model to describe shear localization, shear band formation and propagation on mesoscopic scale. The last is to determine the constitutive behaviors of the amorphous metals from the knowledge gathered from the atomistic and mesoscopic modeling, as well as experiments. The continuum description of deformation and fracture in metallic glass is expected for predicting and analyzing mechanical performance of bulk metallic glass products and components in real applications. With the support of the DOE grant, several major breakthroughs have been made. Among the highlights are (1) quantitative characterization of free volumes, (2) dynamic modeling of breakdown process in disordered Ising models, and (3) development of a novel mesoscopic modeling method using phase field, or Ginzburg-Landau Theory. These progresses laid a firm foundation for the future advance in comprehensive understanding of deformation mechanisms in amorphous metals. The future works are laid out that address not only the remaining or unfinished tasks and topics, but also the further extension and development from the knowledge learned from the current research. Among these topics are (1) micromechanics of defects, (2) composite modeling, (3) a theory of shear localization by combining microscopic defect properties with mechanics, and (4) continuum modeling of glassy metal composites and products in services.




Computational Methods for Fracture


Book Description

This book offers a collection of 17 scientific papers about the computational modeling of fracture. Some of the manuscripts propose new computational methods and/or how to improve existing cutting edge methods for fracture. These contributions can be classified into two categories: 1. Methods which treat the crack as strong discontinuity such as peridynamics, scaled boundary elements or specific versions of the smoothed finite element methods applied to fracture and 2. Continuous approaches to fracture based on, for instance, phase field models or continuum damage mechanics. On the other hand, the book also offers a wide range of applications where state-of-the-art techniques are employed to solve challenging engineering problems such as fractures in rock, glass, concrete. Also, larger systems such as fracture in subway stations due to fire, arch dams, or concrete decks are studied.




Handbook of Materials Modeling


Book Description

The first reference of its kind in the rapidly emerging field of computational approachs to materials research, this is a compendium of perspective-providing and topical articles written to inform students and non-specialists of the current status and capabilities of modelling and simulation. From the standpoint of methodology, the development follows a multiscale approach with emphasis on electronic-structure, atomistic, and mesoscale methods, as well as mathematical analysis and rate processes. Basic models are treated across traditional disciplines, not only in the discussion of methods but also in chapters on crystal defects, microstructure, fluids, polymers and soft matter. Written by authors who are actively participating in the current development, this collection of 150 articles has the breadth and depth to be a major contributor toward defining the field of computational materials. In addition, there are 40 commentaries by highly respected researchers, presenting various views that should interest the future generations of the community. Subject Editors: Martin Bazant, MIT; Bruce Boghosian, Tufts University; Richard Catlow, Royal Institution; Long-Qing Chen, Pennsylvania State University; William Curtin, Brown University; Tomas Diaz de la Rubia, Lawrence Livermore National Laboratory; Nicolas Hadjiconstantinou, MIT; Mark F. Horstemeyer, Mississippi State University; Efthimios Kaxiras, Harvard University; L. Mahadevan, Harvard University; Dimitrios Maroudas, University of Massachusetts; Nicola Marzari, MIT; Horia Metiu, University of California Santa Barbara; Gregory C. Rutledge, MIT; David J. Srolovitz, Princeton University; Bernhardt L. Trout, MIT; Dieter Wolf, Argonne National Laboratory.










Crystal Plasticity Finite Element Methods


Book Description

Written by the leading experts in computational materials science, this handy reference concisely reviews the most important aspects of plasticity modeling: constitutive laws, phase transformations, texture methods, continuum approaches and damage mechanisms. As a result, it provides the knowledge needed to avoid failures in critical systems udner mechanical load. With its various application examples to micro- and macrostructure mechanics, this is an invaluable resource for mechanical engineers as well as for researchers wanting to improve on this method and extend its outreach.