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continuum mechanical analysis

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Book Chapter

By Niels Bay
Series: ASM Handbook
Volume: 6A
Publisher: ASM International
Published: 31 October 2011
DOI: 10.31399/asm.hb.v06a.a0005581
EISBN: 978-1-62708-174-0
... or both metals is required to obtain bonding in cold welding. This article presents a theoretical model, to explain the bond strength, based on metallographic studies and continuum mechanical analysis of the local plastic deformation in the weld interface. It describes the bonding mechanisms...
Series: ASM Handbook
Volume: 11A
Publisher: ASM International
Published: 30 August 2021
DOI: 10.31399/asm.hb.v11A.a0006807
EISBN: 978-1-62708-329-4
... at elevated temperatures. The article describes the stages of the creep curve, discusses processes involved in the extrapolation of creep data, and summarizes notable creep constitutive models and continuum damage mechanics models. It demonstrates the effects of stress relaxation and redistribution...
Series: ASM Handbook
Volume: 14B
Publisher: ASM International
Published: 01 January 2006
DOI: 10.31399/asm.hb.v14b.a0005168
EISBN: 978-1-62708-186-3
... K.J. , A Continuum Mechanics Based on Four-Node Shell Element for General Non-Linear Analysis , Eng. Comp. (Int. J. Comput.-Aided Eng. Software) , Vol 1 , 1984 , p 77 – 88 146. Liu W.K. , Law E.S. , Lam D...
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
... , p 331 – 362 32. Hughes T.J.R and Liu W.K. , Nonlinear Finite Element Analysis of Shells, Part II: Two-Dimensional Shells , Comput. Method. Appl. Mech. Eng. , Vol 27 , 1981 , p 167 – 181 33. Dvorkin E.N. and Bathe K.J. , A Continuum Mechanics Based on Four...
Series: ASM Handbook
Volume: 20
Publisher: ASM International
Published: 01 January 1997
DOI: 10.31399/asm.hb.v20.a0002443
EISBN: 978-1-62708-194-8
... such as beam element, plate element, shell element, and elbow element. The article presents three examples to illustrate the types of problems that can be addressed and the decisions that must be made when using finite element analysis. beam element continuum elements elbow element finite element...
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
... the symmetries are anisotropies of the mechanical properties, both elastic and plastic, of the individual crystals. Anisotropy is evident even at the continuum scale in aggregates of crystals having preferred orientations of the crystal lattices, known as crystallographic texture. The behaviors observed during...
Series: ASM Handbook
Volume: 7
Publisher: ASM International
Published: 30 September 2015
DOI: 10.31399/asm.hb.v07.a0006033
EISBN: 978-1-62708-175-7
... continuum modeling, which is the most relevant approach in modeling grain growth, densification, and deformation during sintering. Continuum plasticity models are frequently used to describe the mechanical response of metal powders during compaction. The article illustrates the typical procedure...
Series: ASM Handbook
Volume: 10
Publisher: ASM International
Published: 15 December 2019
DOI: 10.31399/asm.hb.v10.a0006638
EISBN: 978-1-62708-213-6
... using logarithmic three-band color encoding, enabling direct comparison of concentration levels among the three constituents. Note the elimination of false contrast in the iron image. Fig. 4 Mechanism for x-ray bremsstrahlung (continuum) emission with simulated characteristic and continuum x...
Series: ASM Handbook Archive
Volume: 10
Publisher: ASM International
Published: 01 January 1986
DOI: 10.31399/asm.hb.v10.a0001733
EISBN: 978-1-62708-178-8
... of analyte A for λ pri μ M (λ pri ) Mass absorption coefficient of the matrix for λ pri μ M (λ L ) Mass absorption coefficient of the matrix for analyte line λ L ϕ Incident angle of the primary beam ψ Takeoff angle of fluorescent beam Cement analysis for NBS 634 Table 3 Cement...
Series: ASM Handbook
Volume: 22B
Publisher: ASM International
Published: 01 November 2010
DOI: 10.31399/asm.hb.v22b.a0005531
EISBN: 978-1-62708-197-9
... individual particles and their interactions in a powder mass, which can be used to simulate the behavior of powder during free flow in die and mold filling and the early stages of sintering. Linear continuum models include linear elastic finite element, heat transfer, and fluid mechanics, which can...
Series: ASM Handbook
Volume: 19
Publisher: ASM International
Published: 01 January 1996
DOI: 10.31399/asm.hb.v19.a0002348
EISBN: 978-1-62708-193-1
... assumptions is often made about the state of the material. Both of these are related to the need to invoke continuum mechanics to make the stress/strain/fracture mechanics analysis tractable: The material is an ideal homogeneous, continuous, isotropic continuum that is free of defects or flaws...
Book Chapter

By S. Lampman
Series: ASM Handbook
Volume: 10
Publisher: ASM International
Published: 15 December 2019
DOI: 10.31399/asm.hb.v10.a0006645
EISBN: 978-1-62708-213-6
...). This is followed by a discussion on the mechanism and effects of X-ray radiation, X-ray emission, and X-ray absorption. The article then discusses components used, operation, and applications of WDS and EDS. Some of the factors and processes involved in sample preparation for XRF analysis are also included...
Series: ASM Handbook
Volume: 22B
Publisher: ASM International
Published: 01 November 2010
DOI: 10.31399/asm.hb.v22b.a0005502
EISBN: 978-1-62708-197-9
... designs, compaction presses, and sintering furnaces. In building toward this goal, various simulation types have been evaluated: Monte Carlo, finite difference, discrete element, finite element, fluid mechanics, continuum mechanics, neural network, and adaptive learning. Unfortunately, the input data...
Series: ASM Handbook Archive
Volume: 10
Publisher: ASM International
Published: 01 January 1986
DOI: 10.31399/asm.hb.v10.a0001730
EISBN: 978-1-62708-178-8
... current, mA Wavelength, nm Slit width, μm Bandpass, nm Flame Aluminum 8 309.3 320 1 Nitrous oxide/acetylene, reducing, fuel-rich, red Iron 8 248.3 80 0.3 Air/acetylene, oxidizing, fuel-lean, blue Thermite analysis results Table 4 Thermite analysis results Sample...
Series: ASM Handbook
Volume: 10
Publisher: ASM International
Published: 15 December 2019
DOI: 10.31399/asm.hb.v10.a0006653
EISBN: 978-1-62708-213-6
... Absorption Vaporization Interferences Ionization Interferences Background Correction Methods of Analysis Matrix Modifiers Method of Standard Additions Matrix Matching Conclusion Continuum-Source Correction Zeeman Correction Line Self-Reversal Correction (Smith-Hieftje...
Series: ASM Handbook
Volume: 22B
Publisher: ASM International
Published: 01 November 2010
DOI: 10.31399/asm.hb.v22b.a0005528
EISBN: 978-1-62708-197-9
... with a sharp moving (top) blade at 0° cutting angle and 5% clearance. (b) Zoom-in of the boxed region showing void sheets in front of the crack tip. (c) and (d) Micrographs of the sheared part and scrap, respectively Continuum Damage Models for Failure and Their Calibration Mechanical Testing...
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
.... , and Duffy S.F. , A Methodology to Predict Creep Life for Advanced Ceramics Using Continuum Damage Mechanics , Life Prediction Methodologies and Data for Ceramic Materials , STP 1201, Brinkman C.R. and Duffy S.F. , Ed., ASTM , 1994 , p 207 – 227 52. Corapcioglu Y. and Uz...
Series: ASM Handbook
Volume: 18
Publisher: ASM International
Published: 31 December 2017
DOI: 10.31399/asm.hb.v18.a0006409
EISBN: 978-1-62708-192-4
... with the previous section “ Continuum Descriptions .” Following a similar dimensional analysis as for the derivation of Stokes equations ( Ref 41 ) obtains: (Eq 41) ρ c p u ∂ T ∂ x + ρ c p v ∂ T ∂ y = k ∂ 2 T ∂ z 2 + μ [ ( ∂ u ∂ z ) 2...
Book: Casting
Series: ASM Handbook
Volume: 15
Publisher: ASM International
Published: 01 December 2008
DOI: 10.31399/asm.hb.v15.a0005237
EISBN: 978-1-62708-187-0
...Abstract Abstract In order to model macrosegregation, one must consider convection and the partitioning of segregating elements at the dendritic length scale. This article describes microsegregation with diffusion in the solid. It presents a continuum model of macrosegregation and illustrates...
Series: ASM Handbook
Volume: 22B
Publisher: ASM International
Published: 01 November 2010
DOI: 10.31399/asm.hb.v22b.a0005520
EISBN: 978-1-62708-197-9
..., highlighting both the benefits and drawbacks of each class. These classes include criteria functions, analytical models, continuum models, and kinetic models. The article also tabulates the criteria functions for porosity prediction. mechanical properties porosity solidification THE SOLIDIFICATION...