1-20 of 80 Search Results for

deterministic models

Follow your search
Access your saved searches in your account

Would you like to receive an alert when new items match your search?
Close Modal
Sort by
Series: ASM Handbook
Volume: 20
Publisher: ASM International
Published: 01 January 1997
DOI: 10.31399/asm.hb.v20.a0002482
EISBN: 978-1-62708-194-8
..., mechanistic, or deterministic models along with their important considerations. It describes the various aspects of modeling of deformation processes, casting operations, and fusion welding processes, with examples. casting deformation deterministic models empirical models fusion welding...
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
.../liquid (S/L) interface dynamics at the microlevel. The visualization of the length scale of the microstructure through computer graphical output became possible. Based on the mathematics used to describe the physics, solidification models can be classified as deterministic or probabilistic ( Fig. 1...
Series: ASM Handbook
Volume: 22A
Publisher: ASM International
Published: 01 December 2009
DOI: 10.31399/asm.hb.v22a.a0005415
EISBN: 978-1-62708-196-2
...: the Langevin force approach and explicit nucleation algorithm. Calculation of activation energy and critical nucleus configuration is discussed. The article presents the deterministic phase-field kinetic equations for modeling growth and coarsening of microstructure. It also describes the material-specific...
Series: ASM Handbook
Volume: 22B
Publisher: ASM International
Published: 01 November 2010
DOI: 10.31399/asm.hb.v22b.a0005512
EISBN: 978-1-62708-197-9
... a promising approach for a probabilistic model for the prediction of diffusion bonding time, based on the identification and characterization of deterministic variables and random variables. The probabilistic distribution of surface roughness is introduced into a deterministic model of diffusion bonding...
Series: ASM Handbook
Volume: 11A
Publisher: ASM International
Published: 30 August 2021
DOI: 10.31399/asm.hb.v11A.a0006803
EISBN: 978-1-62708-329-4
..., models and model parameters have some uncertainty in real-world structures. To this day (2020), structural design codes are deterministically based, with the uncertainties accounted for by using conservatisms such as safety factors, design factors, and so on to cover a realistic range of variation. Given...
Series: ASM Handbook
Volume: 22B
Publisher: ASM International
Published: 01 November 2010
DOI: 10.31399/asm.hb.v22b.a0005505
EISBN: 978-1-62708-197-9
.... Most systems behave stochastically, involving chance or probability. Variation is inherent in material characteristics, loading conditions, simulation model accuracy, geometric properties, manufacturing precision, actual product usage, and so on. Application of deterministic optimization strategies...
Series: ASM Handbook
Volume: 21
Publisher: ASM International
Published: 01 January 2001
DOI: 10.31399/asm.hb.v21.a0003386
EISBN: 978-1-62708-195-5
... between the top and bottom sublaminates. The complexity of the damage and failure mechanisms has increased the difficulty of the development and verification of adequate deterministic models of the compression after impact failure mode. Impact Damage Growth Characteristics under Cyclic Loading...
Series: ASM Handbook
Volume: 22B
Publisher: ASM International
Published: 01 November 2010
DOI: 10.31399/asm.hb.v22b.a0005501
EISBN: 978-1-62708-197-9
... and the phase-field method. Deterministic Micromodeling Modeling of solidification processes and microstructural features has benefited from the introduction of averaged conservation equations and the coupling of these equations with microscopic models of solidification. When conservation equations...
Series: ASM Handbook Archive
Volume: 11
Publisher: ASM International
Published: 01 January 2002
DOI: 10.31399/asm.hb.v11.a0003523
EISBN: 978-1-62708-180-1
... to be deterministic or predictive of the outcome of an event or process. In addition to providing a representation of a physical system, mathematical models are used for problem solving. Mathematical modeling is often referred to as applied mathematics. In its simplest form, modeling is the use of mathematics...
Series: ASM Handbook
Volume: 19
Publisher: ASM International
Published: 01 January 1996
DOI: 10.31399/asm.hb.v19.a0002369
EISBN: 978-1-62708-193-1
... analysis, such as the material properties, distribution of applied stress levels within a given environment, environments or loading intensities, and modeling or prediction. It presents a probabilistic approach for analyzing the uncertainties and determining the level of reliability (probability of failure...
Series: ASM Handbook
Volume: 11
Publisher: ASM International
Published: 15 January 2021
DOI: 10.31399/asm.hb.v11.a0006772
EISBN: 978-1-62708-295-2
... equations. They are intended to be deterministic or predictive of the outcome of an event or process. In addition to providing a representation of a physical system, mathematical models are used for problem solving. Mathematical modeling is often referred to as applied mathematics. In its simplest form...
Series: ASM Handbook
Volume: 17
Publisher: ASM International
Published: 01 August 2018
DOI: 10.31399/asm.hb.v17.a0006462
EISBN: 978-1-62708-190-0
... technique is highly influenced by a variety of factors including flaw morphology, component geometry, reference sample calibration, test conditions, and human factors. Some influences can be deterministically modeled and others remain random. Reference 32 describes the standard statistical toolset often...
Series: ASM Handbook
Volume: 22B
Publisher: ASM International
Published: 01 November 2010
DOI: 10.31399/asm.hb.v22b.a0005534
EISBN: 978-1-62708-197-9
... of input variables, and the way they are sampled—followed by creating surrogate models and studying error propagation among several computations. Then, the opportunities that a designer has to control or manage this uncertainty are presented. Frame of Reference The pace of industry has led...
Series: ASM Handbook
Volume: 20
Publisher: ASM International
Published: 01 January 1997
DOI: 10.31399/asm.hb.v20.a0002432
EISBN: 978-1-62708-194-8
... to failure, mean time between failures, and useful life period. The article describes the calculation of reliabilities for series and parallel arrangements of a complex system. It provides a comparison of probabilistic and deterministic design and concludes with a discussion on reliability growth...
Series: ASM Handbook Archive
Volume: 11
Publisher: ASM International
Published: 01 January 2002
DOI: 10.31399/asm.hb.v11.a0003515
EISBN: 978-1-62708-180-1
... been noted in previous Sections of this Volume, there is a wide range of material/component life assessment strategies appropriate to different industries and damage mechanisms, and these can be implemented within either a probabilistic or deterministic framework. Fatigue is perhaps the most widely...
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
... and to maintain a competitive edge. This requires improved insight and the development of physically based or “white-box” models, in which the evolution of each of the microstructure variables can be described in a deterministic way. Such models are generic and widely applicable to a range of alloys...
Series: ASM Handbook
Volume: 4D
Publisher: ASM International
Published: 01 October 2014
DOI: 10.31399/asm.hb.v04d.a0005987
EISBN: 978-1-62708-168-9
... carburizing, induction hardening, through hardening, and nitriding. In view of the emerging use of mathematical modeling and optimization, a brief overview of its application for process and design optimization is also provided. carburizing gears heat treatment induction hardening low-pressure...
Series: ASM Handbook
Volume: 20
Publisher: ASM International
Published: 01 January 1997
DOI: 10.31399/asm.hb.v20.a0002476
EISBN: 978-1-62708-194-8
.... Here: (Eq 39) ψ = ( σ 1 β 0 ) α + ( σ 2 β 0 ) α + ( σ 3 β 0 ) α where σ 1 , σ 2 , and σ 3 are the three principal stresses at a given point. The PIA model is the probabilistic equivalent to the deterministic maximum...
Series: ASM Handbook
Volume: 18
Publisher: ASM International
Published: 31 December 2017
DOI: 10.31399/asm.hb.v18.a0006365
EISBN: 978-1-62708-192-4
... of these parameters on tribological behavior of textured surfaces. It provides information on various modeling approaches for surface texture. The article also discusses the beneficial effect of surface texturing. tribological behavior surface texturing EVER-INCREASING REQUIREMENTS for improved...
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
... (Eq 16b) D s ≅ d p ( 6 / f v ) 1 3 Mechanistic Models for Microstructure Evolution A number of mechanism-based approaches have been developed to model microstructure evolution during hot working and annealing. These models incorporate deterministic...