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simple cubic systems
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Book Chapter
Book: Corrosion: Materials
Series: ASM Handbook
Volume: 13B
Publisher: ASM International
Published: 01 January 2005
DOI: 10.31399/asm.hb.v13b.a0006544
EISBN: 978-1-62708-183-2
... mechanisms used to characterize structures. It illustrates the unit cells and ion positions for some simple metal crystals, arranged alphabetically according to the Pearson symbol. The space lattice and crystal system, space-group notation, and prototype for each crystal are also illustrated. corrosion...
Abstract
The crystal structure of a material is an important aspect of corrosion and oxidation processes. This article provides a general introduction to the crystal structure of materials, providing information on the crystal systems, lattice dimensions, nomenclature, and solid-solution mechanisms used to characterize structures. It illustrates the unit cells and ion positions for some simple metal crystals, arranged alphabetically according to the Pearson symbol. The space lattice and crystal system, space-group notation, and prototype for each crystal are also illustrated.
Series: ASM Handbook
Volume: 22A
Publisher: ASM International
Published: 01 December 2009
DOI: 10.31399/asm.hb.v22a.a0005400
EISBN: 978-1-62708-196-2
... crystal structures yield stress face-centered cubic system shear stress Taylor model THE PURPOSE of this article is to enable the reader to understand through examples the fundamentals of crystal plasticity. The rich historical development of crystal plasticity is traced in some detail to enable...
Abstract
This article presents the Schmid's law that describes the response of crystal structures to loading. It describes the Taylor model to calculate the uniaxial yield stress of an isotropic face-centered cubic aggregate in terms of critical resolved shear stress. The article discusses the stress-based approach of the Bishop and Hill procedure to directly find stress states that could simultaneously operate at least five independent slip systems. It presents ways to find isostress or lower-bound yield loci for sheets having single-crystal orientation.
Book Chapter
Book: Alloy Phase Diagrams
Series: ASM Handbook
Volume: 3
Publisher: ASM International
Published: 27 April 2016
DOI: 10.31399/asm.hb.v03.a0006229
EISBN: 978-1-62708-163-4
..., AlCo, AlCu 2 Zn, AuCd, AuMg, AuMn, AuZn, BeCo, BeCu, BeNi, CdCe, CeHg, CeMg, CeZn, CoFe, CoTi, CsCl, CuPd, CuZn, CuZn 3 , FeAl, FeTi, HgLi 2 Tl, HgMn, InNi, LaMg, LiPb, LiTl, MgPr, MgSr, MgTl, MnPt, NiAl, NiTi, RuTa, TiZn D0 3 Fe 3 Al Simple cubic BiLi 3 , CeMg 3 , Cu 3 Sb, Fe 3 Al, Fe 3 Si, Mg...
Abstract
In some phase diagrams, the appearance of several reactions is the result of the presence of intermediate phases. These are phases whose chemical compositions are intermediate between two pure metals, and whose crystalline structures are different from those of the pure metals. This article describes the order-disorder transformation that typically occurs on cooling from a disordered solid solution to an ordered phase. It provides a table that lists selected superlattice structures and alloy phases that order according to each superlattice. The article informs that spinodal decomposition has been particularly useful in the production of permanent magnet materials, because the morphologies favor high magnetic coercivities. It also describes the theory of spinodal decomposition with a simple binary phase diagram.
Series: ASM Handbook
Volume: 9
Publisher: ASM International
Published: 01 December 2004
DOI: 10.31399/asm.hb.v09.a0003733
EISBN: 978-1-62708-177-1
..., TiZn D0 3 Fe 3 Al Simple cubic BiLi 3 , CeMg 3 , Cu 3 Sb, Fe 3 Al, Fe 3 Si, Mg 3 Pr Source: Ref 1 . For information on other superlattice structures, see Ref 2 and 3 . Antiphase Boundaries Most alloys that form an ordered structure are disordered at higher temperature, which...
Abstract
Superlattice is an ordered array of atoms that occur during their rearrangement from random site locations in the disordered solution to specific lattice sites in the ordered structure during phase transformation. This article provides a description of antiphase boundaries, their dislocations and degrees of ordering (long and short order). It focuses on the common superlattice structures and ordered phases observed in copper-gold and iron-aluminum alloy systems. These superlattice types can be referred to by Strukturbericht symbols and the prototype phase.
Book Chapter
Book: Alloy Phase Diagrams
Series: ASM Handbook
Volume: 3
Publisher: ASM International
Published: 27 April 2016
DOI: 10.31399/asm.hb.v03.a0006224
EISBN: 978-1-62708-163-4
... compositions of the phases present, and the amounts of phases present. Phase diagrams provide useful information for understanding alloy solidification. The article provides two simple models that can describe the limiting cases of solidification behavior. alloy solidification binary isomorphous systems...
Abstract
The term isomorphous refers to metals that are completely miscible in each other in both the liquid and solid states. This article discusses the construction of simple phase diagrams by using the appropriate points obtained from time-temperature cooling curves. It describes the two methods to determine a phase diagram with equilibrated alloys: the static method and the dynamic method. The article illustrates the construction of phase boundaries according to the Gibbs' phase rule and describes the calculation methods that allow the prediction of the phases present, the chemical compositions of the phases present, and the amounts of phases present. Phase diagrams provide useful information for understanding alloy solidification. The article provides two simple models that can describe the limiting cases of solidification behavior.
Series: ASM Handbook
Volume: 9
Publisher: ASM International
Published: 01 December 2004
DOI: 10.31399/asm.hb.v09.a0003735
EISBN: 978-1-62708-177-1
... interface has been established, although some controversy still surrounds this issue. Massive transformations occur in a wide array of materials, both in pure metals and in alloys. A short list of model binary systems is shown in Table 1 , although it should be noted that this list is not meant...
Abstract
Massive transformations are thermally activated phenomena and exhibit nucleation and growth characteristics primarily controlled by the interface between parent and product phases that is generally considered incoherent. This article focuses on the nucleation and growth kinetics involved in massive transformations and illustrates the resulting phases and structures in ferrous and nonferrous metals and alloys.
Series: ASM Desk Editions
Publisher: ASM International
Published: 01 December 1998
DOI: 10.31399/asm.hb.mhde2.a0003084
EISBN: 978-1-62708-199-3
...) orthorhombic, face centered; (8) tetragonal, primitive; (9) tetragonal, body centered; (10) hexagonal, primitive; (11) rhombohedral, primitive; (12) cubic, primitive; (13) cubic, body centered; (14) cubic, face centered Fig. 4 Unit cells and atom positions for some simple metal crystals. Also listed...
Abstract
Crystal structure is the arrangement of atoms or molecules in the solid state that involves consideration of defects, or abnormalities, in idealized atomic/molecular arrangements. The three-dimensional aggregation of unit cells in the crystal forms a space lattice or Bravais lattice. This article provides a brief review of the terms and basic concepts associated with crystal structures. It also discusses some of the significant defects obstructing plastic flow in real crystals, namely point defects, line defects, stacking faults, twins, and cold work. Several tables in the article provide information on the crystal structures and lattice parameters of allotropes of metallic elements.
Series: ASM Handbook Archive
Volume: 10
Publisher: ASM International
Published: 01 January 1986
DOI: 10.31399/asm.hb.v10.a0001759
EISBN: 978-1-62708-178-8
... of coordinate system for the sheet itself would be the rolling (length) direction, RD; the sheet normal (thickness) direction, ND; and the transverse (width) direction, TD. These axes are orthogonal, or mutually perpendicular. If the crystalline form is cubic, an appropriate set of coordinate axes...
Abstract
Crystallographic texture measurement and analysis is an important tool for correlating material properties with microstructural features. This article describes the general approach to quantifying crystallographic texture, namely, the collection of statistical data from grain measurements and subsequent analysis based on Euler plots (i.e., pole figures), orientation distribution functions, and stereographic projections. Using detailed illustrations and examples, it explains the significance of preferred crystallographic orientations and their influence on properties and material behavior. The article also discusses sample selection and preparation as well as the challenges and limitations of various methods.
Series: ASM Handbook
Volume: 22A
Publisher: ASM International
Published: 01 December 2009
DOI: 10.31399/asm.hb.v22a.a0005438
EISBN: 978-1-62708-196-2
... calibration steel MODEL QUALITY is a key factor in the success or failure of any computational materials modeling activity. Unfortunately, no single or simple measure of model quality is available but must be referenced in the context of the intended use of the model. For instance, a model used...
Abstract
This article provides guidelines for the assessment of model quality in materials science and engineering. It discusses the fundamentals of model quality assessment and the calibration of mechanistic material models. The article reviews the considerations for the model verification during software implementation planning to identify suitable programs, software components, and programming languages. It describes the validity tests used in model validation, including boundary-value tests, degenerate problem tests, sensitivity tests, and benchmarking. The article also presents an example of model calibration, verification, and validation for the prediction of martensite start temperature of steels.
Series: ASM Handbook
Volume: 2
Publisher: ASM International
Published: 01 January 1990
DOI: 10.31399/asm.hb.v02.a0001106
EISBN: 978-1-62708-162-7
... are usually alkali, alkaline earth metals, or compounds. Cubic boron nitride can be grown from a variety of solvent/catalysts, including metal systems similar to those used for diamond synthesis ( Ref 8 ). Because the pressure-temperature conditions for the conversion of hexagonal boron nitride (HBN) to CBN...
Abstract
Synthetic diamond and cubic boron nitride are among a class of superhard materials from the boron-carbon-nitrogen-silicon family of elements. This article focuses on the two materials, the forms in which they are produced, and their respective properties. Synthetic diamond and cubic boron nitride compounds are available in the form of grit and sintered polycrystalline blanks of various size, shape, and composition. The article explains how superabrasive grains made from these materials can be used in lapping, polishing, and grinding applications, and how diamond and boron nitride blanks can be mounted to suitable substrates to form ultrahard cutting edges and tools.
Book: Machining
Series: ASM Handbook
Volume: 16
Publisher: ASM International
Published: 01 January 1989
DOI: 10.31399/asm.hb.v16.a0002152
EISBN: 978-1-62708-188-7
... Abstract Superabrasives collectively refer to the diamond and cubic boron nitride (CBN) abrasives used in grinding applications. This article discusses the classification of superabrasive wheels according to a variety of sizes and shapes, construction, concentration, and bond systems...
Abstract
Superabrasives collectively refer to the diamond and cubic boron nitride (CBN) abrasives used in grinding applications. This article discusses the classification of superabrasive wheels according to a variety of sizes and shapes, construction, concentration, and bond systems. It provides information on the applications of the superabrasive wheels depending on the factors of the grinding system. These factors include machine tool variables, work material, wheel selection, and operational factors. The article describes the methods available for superabrasive wheel truing in production grinding operations, namely, stationary tool, powered, and form truings. It reviews the truing methods, such as truing with abrasive wheels and hard ceramics, for batch production. The article explains practical methods available for dressing CBN wheels, namely, abrasive stick, abrasive-jet, slurry, and high-pressure waterjet dressing. It concludes with information on the conditioning process of the CBN wheel.
Series: ASM Handbook
Volume: 8
Publisher: ASM International
Published: 01 January 2000
DOI: 10.31399/asm.hb.v08.a0003254
EISBN: 978-1-62708-176-4
... is consistent, the crystalline orientations vary from one grain to another. Fig. 2 Examples of crystal structures. Unit cells: (a) simple cubic, (b) face-centered cubic, (c) body-centered cubic, and (d) hexagonal close-packed. A crystal lattice: (e) three-dimensional simple cubic Fig. 3...
Abstract
Mechanical properties are described as the relationship between forces (or stresses) acting on a material and the resistance of the material to deformation (i.e., strains) and fracture. This article briefly introduces the typical relationships between metallurgical features and the mechanical behavior of metals. It explains the deformation and fracture mechanisms of these metals. Typical properties measured during mechanical testing related to these deformation mechanisms and the microstructures of metals are discussed. The article reviews the various factors that affect the deformation response of the metal: strain rate, temperature, nature of loading, stress-corrosion cracking, and presence of notches.
Series: ASM Handbook
Volume: 22A
Publisher: ASM International
Published: 01 December 2009
DOI: 10.31399/asm.hb.v22a.a0005429
EISBN: 978-1-62708-196-2
... This and several other configurations were used to develop a simple free-energy model of the nickel-molybdenum system by approximating the configuration entropy ( Ref 65 ). Lattice Parameters While current PPW codes can optimize supercell geometries by minimizing in the diagonal components of the stress...
Abstract
Electronic structure methods based on the density functional theory (DFT) are used as a powerful tool for assessing the mechanical thermodynamic and defect properties of metal alloys. This article presents the origins of the electronic structure methods and their strengths and limitations. It describes the basic procedures for calculating essential structural properties in metal alloys. The article reviews the approximations and computational details of the pseudopotential plane wave methods used in metal systems. It provides information on the applications of DFT methods in metal alloy systems. The article discusses the calculations of a variety of structural, thermodynamic, and defect properties, with particular emphasis on structural metal alloys and their derivatives.
Series: ASM Handbook
Volume: 14A
Publisher: ASM International
Published: 01 January 2005
DOI: 10.31399/asm.hb.v14a.a0004028
EISBN: 978-1-62708-185-6
... and tensile twinning is more anisotropic than those of fcc and bcc crystals ( Fig. 2c ). While the Bishop and Hill principle removes the ambiguity in choosing the yield stress, another type of ambiguity arises when more than five planes intersect in one vertex, a usual situation in cubic systems...
Abstract
This article outlines several polycrystal formulations commonly applied for the simulation of plastic deformation and the prediction of deformation texture. It discusses the crystals of cubic and hexagonal symmetry that constitute the majority of the metallic aggregates used in technological applications. The article defines the basic kinematic tensors, reports their relations, and presents expressions for calculating the change in crystallographic orientation associated with plastic deformation. It surveys some of the polycrystal models in terms of the relative strength of the homogeneous effective medium (HEM). The article analyzes the anisotropy predictions of rolled face-centered-cubic and body centered-cubic sheets and presents simulations of the axial deformation of hexagonal-close-packed zirconium. The applications of polycrystal constitutive models to the simulation of complex forming operations, through the use of the finite element method, are also presented.
Book Chapter
Book: Alloy Phase Diagrams
Series: ASM Handbook
Volume: 3
Publisher: ASM International
Published: 27 April 2016
DOI: 10.31399/asm.hb.v03.a0006221
EISBN: 978-1-62708-163-4
..., monoclinic; cc, complex cubic. Source: Ref 1 Fig. 2 Arrangement of atoms: (a) face-centered cubic (fcc), (b) hexagonal close-packed (hcp), and (c) body-centered cubic (bcc) crystal structures. Source: Ref 2 Crystals have been classified into seven basic systems (see the appendix...
Abstract
The application of phase diagrams is instrumental in solid-state transformations for the processing and heat treatment of alloys. A unary phase diagram plots the phase changes of one element as a function of temperature and pressure. This article discusses the unary system that can exist as a solid, liquid, and/or gas, depending on the specific combination of temperature and pressure. It describes the accomplishment of conversion between weight percentage and atomic percentage in a binary system by the use of formulas. The article analyzes the effects of alloying on melting/solidification and on solid-state transformations. It explains the construction of phase diagrams by the Gibbs phase rule and the Lever rule. The article also reviews the various types of alloy systems that involve solid-state transformations. It concludes with information on the sources of phase diagram.
Series: ASM Handbook
Volume: 4B
Publisher: ASM International
Published: 30 September 2014
DOI: 10.31399/asm.hb.v04b.a0005943
EISBN: 978-1-62708-166-5
... Abstract This article presents a simple cost/pricing system that is reasonably accurate and could easily be recalculated if the yearly cost of any of the basic cost components change. Using the example of a commercial heat treating facility, the operational details are categorized as atmosphere...
Abstract
This article presents a simple cost/pricing system that is reasonably accurate and could easily be recalculated if the yearly cost of any of the basic cost components change. Using the example of a commercial heat treating facility, the operational details are categorized as atmosphere processes, induction processes, aluminum processes, high-heat processes, and secondary processes. For the purpose of calculating the heat treatment processing cost per hour and the selling price for a piece of equipment, the costs are separated into direct costs, allocated costs, capitalized cost, and general and administrative costs. The article discusses the techniques involved in allocating costs to the group of equipment, and presents a description on the cost analysis of endothermic gas.
Book: Surface Engineering
Series: ASM Handbook
Volume: 5
Publisher: ASM International
Published: 01 January 1994
DOI: 10.31399/asm.hb.v05.a0001299
EISBN: 978-1-62708-170-2
... ). Fig. 6 Phase diagram of the ZrO 2 -rich region of the ZrO 2 -Y 2 O 3 system. M, monoclinic phase; C, cubic phase; T, tetragonal phase; L, liquid; t, nontransformable tetragonal. Source: Ref 4 In thermally sprayed yttria-stabilized coatings, the feedstock is powder, which may be fabricated...
Abstract
This article discusses the various tests applied to a thermal barrier coating system and to the zirconia layer to establish thermomechanical, environmental stability, and thermal design properties such as coefficient of thermal expansion, specific heat, and thermal transport properties. Thermal fatigue testing and the test for evaluating oxidation resistance of the bond coat is also discussed.
Series: ASM Handbook
Volume: 8
Publisher: ASM International
Published: 01 January 2000
DOI: 10.31399/asm.hb.v08.a0003267
EISBN: 978-1-62708-176-4
... properties at low temperatures is Ref 2 . Metals Most metals are polycrystalline and have one of three relatively simple structures: face-centered cubic (fcc), body-centered cubic (bcc), and close-packed hexagonal (hcp). The temperature dependence of the mechanical properties of the fcc materials...
Abstract
This article provides a discussion on the mechanical properties of metals, ceramics, and polymers and fiber-reinforced polymer composites at low temperatures. It reviews the factors to be considered in tensile and compression testing of these materials. The article details the equipment used for low-temperature tensile and compression tests with illustrations. It concludes with a discussion on the various test methods and their ASTM standard for compression and tension testing.
Book: Casting
Series: ASM Handbook
Volume: 15
Publisher: ASM International
Published: 01 December 2008
DOI: 10.31399/asm.hb.v15.a0005210
EISBN: 978-1-62708-187-0
... of 1/S with orientation will show protrusions at the orientations that have the minimum stiffness, as illustrated in Fig. 6 for a cubic system with preferred <001> growth directions. Fig. 6 Schematic illustration of the polar plot of the inverse of stiffness showing bumps at easy growth...
Abstract
Nonplanar microstructures form most frequently during the solidification of alloys, and play a crucial role in governing the properties of the solidified material. This article emphasizes the basic ideas, characteristic lengths, and the processing conditions required to control the columnar and equiaxed microstructures. The formation of cellular and dendritic structures in one- and two-phase structures is presented with emphasis on the effect of processing conditions and composition on the selection of microstructure and microstructure scales.
Series: ASM Handbook
Volume: 10
Publisher: ASM International
Published: 15 December 2019
DOI: 10.31399/asm.hb.v10.a0006681
EISBN: 978-1-62708-213-6
... during the exchange. However, careless mistakes in the exchange process could lead to crashing the entire vacuum system in the microscope, which ends up shutting down the system. Therefore, users must pay great attention during exchange operations. Electron Sources All electron microscopes...
Abstract
Transmission electron microscopy (TEM) approach enables essentially simultaneous examination of microstructural features through imaging from lower magnifications to atomic resolution and the acquisition of chemical and crystallographic information from small regions of the thin specimen. This article discusses fundamentals of the technique, especially for solving materials problems. Background information is provided to help understand basic operations and principles, including instrumentation, the physics of signal generation and detection, image formation, electron diffraction, and spectrometry techniques with data analysis.
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