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finite-element methods

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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: 22B
Publisher: ASM International
Published: 01 November 2010
DOI: 10.31399/asm.hb.v22b.a0005539
EISBN: 978-1-62708-197-9
... 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 focuses on the overall philosophy and evolution of the FEM for solving bulk forming issues. A number of applications of FEM...
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...
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Published: 09 June 2014
Fig. 11 Geometry for the finite-element method (FEM) example and corresponding boundary conditions More
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Published: 01 January 2005
Fig. 27 Shape and finite element method mesh from the tibial knee-joint forming simulations. From top to bottom: at the end of the blocker, finisher, and restrike operations More
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Published: 01 January 2005
Fig. 29 Finite element method mesh after the final operation. Note how the finer elements are concentrated in locations of smaller features. More
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Published: 01 January 2005
Fig. 21 Finite-element-method predictions of (a) temperature rise at the sample midlength and (b) effective stress-strain curves from simulations of the torsion of aluminum alloy 5252 under various heat-transfer conditions. In (b), the simulation results are compared to experimental data More
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Published: 01 January 2005
Fig. 2 Meshes used for finite element method simulation of the cogging process More
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Published: 01 January 2005
Fig. 3 Finite element method-predicted average grain size. (a) On the free surface after the final pass or within the workpiece after pass number (b) 1, (c) 2, (d) 3, or (e) 4 More
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Published: 31 October 2011
Fig. 3 Finite-element method analysis of the effect of t / d on the radial stress distribution at the center plane for silver interlayer welds between non-plastically deforming base metals at a fixed applied tensile stress. (a) Predictions of Eq 1 are given by dashed lines. (b) The stress More
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Published: 01 January 2006
Fig. 30 Finite element method (FEM) simulation of material flow and form filling. Source: Ref 32 More
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Published: 01 November 2010
Fig. 2 Meshes used for finite element method simulation of the cogging process More
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Published: 01 November 2010
Fig. 3 Finite element method-predicted average grain size. (a) On the free surface after the final pass or within the workpiece after pass number (b) 1, (c) 2, (d) 3, or (e) 4 More
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Published: 01 November 2010
Fig. 27 Shape and finite element method mesh from the tibial knee-joint forming simulations. From top to bottom: at the end of the blocker, finisher, and restrike operations More
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Published: 01 November 2010
Fig. 29 Finite element method mesh after the final operation. Note how the finer elements are concentrated in locations of smaller features More
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Published: 01 August 2018
Fig. 9 Finite-element method model for Rayleigh wave incident on (a) a normal crack and (b) an inclined crack, showing the different interaction behavior More
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Published: 01 January 1993
Fig. 3 Finite-element method analysis of the effect of t / d on the radial stress distribution at the center plane for silver interlayer welds between nonplastically deforming base metals at a fixed applied tensile stress. (a) Predictions of Eq 1 are given by dashed lines. (b) The stress More
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Published: 01 December 2009
Fig. 5 Formulation of the finite and slab element method for the shape rolling process. In the top figure, the deforming workpiece is cut into a finite number of slabs. The force balance is applied on the slab element ( J th cross section), while the transverse deformation is handled through More
Series: ASM Handbook
Volume: 4C
Publisher: ASM International
Published: 09 June 2014
DOI: 10.31399/asm.hb.v04c.a0005876
EISBN: 978-1-62708-167-2
...-element method, finite difference method, boundary-element method or volume-integral method, and direct-solution method. The article also discusses the typical structure of commercial codes (preprocessor, solver, and postprocessor) to solve field problems mainly in finite-element method. computer...
Series: ASM Handbook
Volume: 22B
Publisher: ASM International
Published: 01 November 2010
DOI: 10.31399/asm.hb.v22b.a0005533
EISBN: 978-1-62708-197-9
.... The article explains the finite-difference method, finite-element method, mutual impedance method, and boundary-element method for the numerical computation of the induction heat treating processes. It also discusses the direct and indirect coupling approaches for coupling the electromagnetic and heat...