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Monte-Carlo techniques

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Series: ASM Handbook
Volume: 22A
Publisher: ASM International
Published: 01 December 2009
DOI: 10.31399/asm.hb.v22a.a0005428
EISBN: 978-1-62708-196-2
... Abstract The misorientation of a boundary of a growing grain is defined not only by its crystallography but also by the crystallography of the grain into which it is growing. This article focuses on the Monte Carlo Potts model that is typically used to model grain growth, Zener-Smith pinning...
Series: ASM Handbook Archive
Volume: 11
Publisher: ASM International
Published: 01 January 2002
DOI: 10.31399/asm.hb.v11.a0003514
EISBN: 978-1-62708-180-1
... mathematical requirements, such as a smooth and differentiable limit state. The technique of Monte Carlo sampling is the most robust method and is guaranteed to work for any problem, if sufficient sampling is carried out. Also, formal error estimates of the solution are available, unlike the other methods...
Series: ASM Handbook
Volume: 9
Publisher: ASM International
Published: 01 December 2004
DOI: 10.31399/asm.hb.v09.a0003729
EISBN: 978-1-62708-177-1
... models, Monte Carlo models, and cellular automaton models. cellular automaton models computer modeling microstructure Monte Carlo model phase-field models solidification A WIDELY HELD TENET of science states that the only true knowledge is that which is expressed in mathematical form...
Series: ASM Handbook
Volume: 9
Publisher: ASM International
Published: 01 December 2004
DOI: 10.31399/asm.hb.v09.a0003788
EISBN: 978-1-62708-177-1
... R.L. , Monte Carlo Calculations of Magnetic Contrast from Cubic Materials in the Scanning Electron Microscope , Appl. Phys. Lett., Vol 23 , 1973 , p 488 – 490 10.1063/1.1654969 126. Yakowitz H. and Newbury D.E. , Magnetic Domains Structures in Fe-3.2 Si Revealed by...
Series: ASM Handbook Archive
Volume: 10
Publisher: ASM International
Published: 01 January 1986
DOI: 10.31399/asm.hb.v10.a0001766
EISBN: 978-1-62708-178-8
... Abstract Analytical transmission electron microscopy (ATEM) is unique among materials characterization techniques as it enables essentially the simultaneous examination of microstructural features through high-resolution imaging and the acquisition of chemical and crystallographic information...
Series: ASM Handbook
Volume: 10
Publisher: ASM International
Published: 15 December 2019
DOI: 10.31399/asm.hb.v10.a0006668
EISBN: 978-1-62708-213-6
... Electrons in Solid Targets , J. Phys. D. Appl. Phys. , Vol 5 (No. 1 ), Jan 1972 , p 308 10.1088/0022-3727/5/1/308 26. Demers H. et al. , Three-Dimensional Electron Microscopy Simulation with the CASINO Monte Carlo Software , Scanning , Vol 33 (No. 3 ), May 2011 , p 135 – 146...
Series: ASM Desk Editions
Publisher: ASM International
Published: 01 December 1998
DOI: 10.31399/asm.hb.mhde2.a0003252
EISBN: 978-1-62708-199-3
... accelerating voltage (greater penetration for higher accelerating voltages). The beam spreads out as it penetrates, typically resulting in a pear-shaped interaction volume ( Fig. 2 ). Fig. 2 Monte Carlo simulations of the interaction volume of a 20 keV primary electron beam in an iron sample. (a...
Series: ASM Handbook
Volume: 13C
Publisher: ASM International
Published: 01 January 2006
DOI: 10.31399/asm.hb.v13c.a0004131
EISBN: 978-1-62708-184-9
... uncertainty of long-term forecast estimates, analysts have to provide a range of estimated costs; this is generally accomplished by the use of probability distributions taking advantage of Monte Carlo techniques. The main strength of life-cycle cost modeling and simulation is its built-in flexibility. The...
Series: ASM Handbook
Volume: 11
Publisher: ASM International
Published: 15 January 2021
DOI: 10.31399/asm.hb.v11.a0006770
EISBN: 978-1-62708-295-2
... an SEM under normal operating conditions is considered to be 1 μm 3 . At higher accelerating voltages and lower atomic number compositions, the interaction area can be substantially larger. Fig. 8 Monte-Carlo-predicted interaction volume Often it is not possible in failure...
Series: ASM Handbook
Volume: 14A
Publisher: ASM International
Published: 01 January 2005
DOI: 10.31399/asm.hb.v14a.a0004003
EISBN: 978-1-62708-185-6
... Treatment of Ti-6Al-4V , Metall. Mater. Trans. A , Vol 34A ( No. 10 ), Oct 2003 , p 2377 – 2386 48. Ivasishan O.M. et al. , 3-D Monte-Carlo Simulation of Texture-Controlled Grain Growth , Acta Mater. , Vol 51 , 2003 , p 1019 – 1034 The thermomechanical processing of...
Series: ASM Handbook
Volume: 10
Publisher: ASM International
Published: 15 December 2019
DOI: 10.31399/asm.hb.v10.a0006660
EISBN: 978-1-62708-213-6
... than 0.1 μm for beam voltages up to 20 kV ( Ref 10 ). Monte Carlo electron trajectory simulations of this effect are shown in Fig. 6 . Figure 6(a) shows the results of Monte Carlo electron trajectory simulations of the energy of the backscattered electrons from a nickel sample where the primary beam...
Series: ASM Handbook
Volume: 12
Publisher: ASM International
Published: 01 January 1987
DOI: 10.31399/asm.hb.v12.a0001835
EISBN: 978-1-62708-181-8
..., metal specimens are examined at high voltages (25 to 30 keV), nonconductive but coated specimens at moderate voltages (∼15 keV), and nonconductive, uncoated specimens at low voltages (∼5 keV). Figure 2 shows a Monte Carlo projection of electron trajectories in tungsten and aluminum (note the differing...
Series: ASM Handbook
Volume: 6A
Publisher: ASM International
Published: 31 October 2011
DOI: 10.31399/asm.hb.v06a.a0005639
EISBN: 978-1-62708-174-0
... article discusses the equipment suitable for microjoining and the metallurgical consequences and postweld metrology of the process. It also provides examples of developmental welds employing laser and electron beam microwelding techniques. coalescence driving fluid flow electron beam electron...
Series: ASM Handbook
Volume: 17
Publisher: ASM International
Published: 01 August 2018
DOI: 10.31399/asm.hb.v17.a0006463
EISBN: 978-1-62708-190-0
... needed data, the mathematical methods to obtain a POD curve, and techniques to assess uncertainty in the POD curve as it is obtained from a limited data set. The concept of model-assisted POD (MAPOD) is introduced, with additional details and representative examples of MAPOD. process modeling non...
Series: ASM Handbook
Volume: 10
Publisher: ASM International
Published: 15 December 2019
DOI: 10.31399/asm.hb.v10.a0006667
EISBN: 978-1-62708-213-6
... neutron diffraction, powder diffraction, and pair distribution function analysis. The relationship between detector space and reciprocal space are presented. Various factors involved in sample preparation, calibration, and techniques used for analyzing diffraction data are described. The article also...
Series: ASM Handbook
Volume: 14A
Publisher: ASM International
Published: 01 January 2005
DOI: 10.31399/asm.hb.v14a.a0009002
EISBN: 978-1-62708-185-6
... of microstructure evolution. cellular automata dynamic recovery grain growth hot working microstructure evolution microstructure evolution modeling Monte-Carlo techniques plastic flow recrystallization static recovery texture evolution models thermomechanical processing IN...
Series: ASM Handbook
Volume: 22A
Publisher: ASM International
Published: 01 December 2009
DOI: 10.31399/asm.hb.v22a.a0005401
EISBN: 978-1-62708-196-2
...) and phase-field modeling approaches. In the work of Ivasishin et al. ( Ref 24 , 25 ), for example, the Monte Carlo (MC) method was used. A detailed description of the MC technique is contained in the article “Monte Carlo Models for Grain Growth and Recrystallization” in this Volume. The MC...
Series: ASM Handbook
Volume: 14A
Publisher: ASM International
Published: 01 January 2005
DOI: 10.31399/asm.hb.v14a.a0004027
EISBN: 978-1-62708-185-6
... advantage to reduce the grayness. These involve probabilistic methods such as Monte Carlo-Potts (MC-P) or cellular automata (CA) in which the consequences of using certain selection rules for the evolution of a microstructure can be computed and pictorially represented for comparison with observed...
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
... ability to find reasonable approximations for the functional E xc [ρ]. Fortunately, this function has been studied in detail for the case of a uniform electron gas ( Ref 18 ), derived using Monte Carlo techniques ( Ref 19 ), and parameterized for electronic structure calculations ( Ref 20 ). The...
Series: ASM Handbook
Volume: 14B
Publisher: ASM International
Published: 01 January 2006
DOI: 10.31399/asm.hb.v14b.a0005169
EISBN: 978-1-62708-186-3
...; friction factor; strain-rate sensitivity exponent M bending moment mA milliampere max maximum MC Monte Carlo MCS Monte Carlo step MDO multidisciplinary optimization MDOL multidisciplinary design optimization language MDRX metadynamic recrystallization...