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finite element method

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Series: ASM Handbook
Volume: 14A
Publisher: ASM International
Published: 01 January 2005
DOI: 10.31399/asm.hb.v14a.a0004021
EISBN: 978-1-62708-185-6
... Abstract This article provides a summary of the overall development of the finite element method (FEM) and its contribution to the materials forming industry. It presents an overview of FEM methodologies and applications in the order of their usage in typical manufacturing (bulk forming process...
Series: ASM Handbook
Volume: 22A
Publisher: ASM International
Published: 01 December 2009
DOI: 10.31399/asm.hb.v22a.a0005431
EISBN: 978-1-62708-196-2
... Abstract Several methods are developed for the numerical solution of partial differential equations, namely, meshed-solution methods such as the finite-element method (FEM), finite-difference method, and boundary-element method; and numerical algorithms consisting of so-called meshed-solution...
Series: ASM Handbook
Volume: 22A
Publisher: ASM International
Published: 01 December 2009
DOI: 10.31399/asm.hb.v22a.a0005424
EISBN: 978-1-62708-196-2
... individual elements are associated with crystals. A mesh having a specified assignment of crystal attributes to particular finite elements is referred to as a virtual sample. It represents one of many possible ways that crystals may be arranged within a volume of the material. The methods to create virtual...
Series: ASM Handbook
Volume: 11
Publisher: ASM International
Published: 15 January 2021
DOI: 10.31399/asm.hb.v11.a0006773
EISBN: 978-1-62708-295-2
... thus adds an order of magnitude to the complexity of the solution using beam theory. Techniques such as the moment-area method, double integration, and superposition have been developed to provide analytical solutions to these types of problems. Using FEA, no such complexity exists. Simply adding...
Series: ASM Handbook
Volume: 22A
Publisher: ASM International
Published: 01 December 2009
DOI: 10.31399/asm.hb.v22a.a0005426
EISBN: 978-1-62708-196-2
... techniques. It introduces some common techniques for discretizing the fluid-flow equations and methods for solving the discrete equations. These include finite-difference methods, finite-element methods, spectral methods, and computational particle methods. The article describes the approaches for grid...
Series: ASM Handbook
Volume: 17
Publisher: ASM International
Published: 01 August 2018
DOI: 10.31399/asm.hb.v17.a0006452
EISBN: 978-1-62708-190-0
... applications. It discusses the mathematics behind classical beamforming, full matrix capture, and total focusing methods of imaging. The article shows how ultrasonic array data can be simulated by direct numerical methods (most commonly using finite-element methods), analytical methods, or hybrid methods. It...
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
... complex forming operations, through the use of the finite element method, are also presented. axial deformation body centered-cubic sheets deformation texture finite element method forming plastic deformation rolled face-centered-cubic zirconium METALS are polycrystalline aggregates, that...
Series: ASM Desk Editions
Publisher: ASM International
Published: 01 December 1998
DOI: 10.31399/asm.hb.mhde2.a0003176
EISBN: 978-1-62708-199-3
..., and the molding method used. Designers can predict the effect of the design on the structure of the final part using solidification simulation models, namely finite element and finite difference models, and rapid prototyping. The article concludes with a short note on how the quality is assured in the...
Book: Casting
Series: ASM Handbook
Volume: 15
Publisher: ASM International
Published: 01 December 2008
DOI: 10.31399/asm.hb.v15.a0005238
EISBN: 978-1-62708-187-0
... steel slabs solidification stress finite element formulation arbitrary Lagrangian Eulerian method braking disks thermomechanical coupling COMPUTATIONAL MODELING of mechanical behavior during solidification is becoming more . Thermal and microstructural simulations alone are insufficient to...
Series: ASM Handbook
Volume: 22A
Publisher: ASM International
Published: 01 December 2009
DOI: 10.31399/asm.hb.v22a.a0005461
EISBN: 978-1-62708-196-2
... finite-element analyses of deformation processing. The article reviews the Cockcroft-Latham criterion of fracture and its reformulated extension for analysing the fracture locus for compression. It concludes with information on fundamental fracture models. slab method upper-bound method slip-line...
Series: ASM Handbook
Volume: 14A
Publisher: ASM International
Published: 01 January 2005
DOI: 10.31399/asm.hb.v14a.a0003985
EISBN: 978-1-62708-185-6
... Abstract Hot-die forging and isothermal forging are unique forging methods developed to forge materials that are difficult or impossible to forge by conventional means. This article presents a comparative study on hot-die forging and isothermal forging. It discusses forging parameters, process...
Series: ASM Handbook
Volume: 14A
Publisher: ASM International
Published: 01 January 2005
DOI: 10.31399/asm.hb.v14a.a0004013
EISBN: 978-1-62708-185-6
..., billet configurations, and metal flow modes of coextrusion. It presents the analytical studies of coextrusion: deformation energy methods, lower-bound (slab) analyses, upper-bound analyses, and finite-element analyses. These studies are used to identify the regime of material properties and process...
Series: ASM Handbook
Volume: 22A
Publisher: ASM International
Published: 01 December 2009
DOI: 10.31399/asm.hb.v22a.a0005414
EISBN: 978-1-62708-196-2
... working process, one must know the thermomechanical history of the material. Finite-element modeling (FEM) of the process provides a convenient and reasonably accurate way of obtaining the thermomechanical history of various points in the workpiece at different instants in time. The finite-element method...
Series: ASM Handbook
Volume: 14A
Publisher: ASM International
Published: 01 January 2005
DOI: 10.31399/asm.hb.v14a.a0004017
EISBN: 978-1-62708-185-6
... method of plasticity analysis and the upper-bound analysis ( Ref 5 ) give the average axial flow stress as: (Eq 14) σ a = 4 P π D 2 = σ 0 ( 1 + m D 3 3 h ) Equation 14 shows how the measured flow stress is in excess of the effective or flow stress...
Series: ASM Handbook
Volume: 22A
Publisher: ASM International
Published: 01 December 2009
DOI: 10.31399/asm.hb.v22a.a0005405
EISBN: 978-1-62708-196-2
... Abstract The purposes and methods of fatigue modeling and simulation in high-cycle fatigue (HCF) regime are to design either failsafe components or components with a finite life and to quantify remaining life of components with pre-existing cracks using fracture mechanics, with the intent of...
Series: ASM Handbook
Volume: 17
Publisher: ASM International
Published: 01 August 2018
DOI: 10.31399/asm.hb.v17.a0006469
EISBN: 978-1-62708-190-0
... discusses the principles of each of these inspection methods. It describes the applications and the basic data formats for single-element transducer-based systems, including A-scans, B-scans, and C-scans. The article provides information on electronic equipment used for ultrasonic inspection. It also...
Series: ASM Handbook
Volume: 11
Publisher: ASM International
Published: 15 January 2021
DOI: 10.31399/asm.hb.v11.a0006779
EISBN: 978-1-62708-295-2
... as well as experience and awareness in all stages of the life of a component. This includes the critical assessment of design methods, the proper selection of materials and manufacturing methods, and the knowledge of anticipated service conditions, including manufacturing and operation inspections as...
Series: ASM Handbook
Volume: 14A
Publisher: ASM International
Published: 01 January 2005
DOI: 10.31399/asm.hb.v14a.a0003996
EISBN: 978-1-62708-185-6
... checking in dies for forging of aluminum alloys. Numerical modeling of the dies, using state-of-the-art finite element methods (FEM) techniques, is widely used for analysis of die stress, die strain, and thermal conditions as a function of the die design and forging process conditions. With these...
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
... materials failure analysts. This article focuses on the general methods and approaches from the perspective of a reconstruction analyst. It describes the elements of accident reconstruction, which have conceptual similarity with the principles for failure analysis of material incidents that are less complex...
Book: Casting
Series: ASM Handbook
Volume: 15
Publisher: ASM International
Published: 01 December 2008
DOI: 10.31399/asm.hb.v15.a0005233
EISBN: 978-1-62708-187-0
... several numerical methods for solving CFD equations, and this overview focuses on the most common: finite difference, finite volume, and finite element. Other methods include spectral and some computational particle methods. In this article, the terminology computational fluid dynamics is reserved for...