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rational polynomial creep

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Published: 01 January 2000
Fig. 4 Properties of the rational polynomial creep equation More
Image
Published: 01 January 2000
Fig. 5 Fit of the rational polynomial creep equation to an experimental curve at 427 °C (800 °F) and 97 MPa (14 ksi) More
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Published: 01 January 2000
Fig. 6 Fit of the rational polynomial creep equation to an experimental curve at 482 °C (900 °F) and 138 MPa (20 ksi) More
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Published: 01 January 2000
Fig. 7 Fit of the rational polynomial creep equation to an experimental curve at 538 °C (1000 °F) and 55 MPa (8 ksi) More
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Published: 01 January 2000
Fig. 8 Fit of the rational polynomial creep equation to an experimental curve at 593 °C (1100 °F) and 83 MPa (12 ksi) More
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Published: 01 January 2000
Fig. 9 Fit of the rational polynomial creep equation to an experimental curve at 649 °C (1200 °F) and 21 MPa (3 ksi) More
Series: ASM Handbook
Volume: 8
Publisher: ASM International
Published: 01 January 2000
DOI: 10.31399/asm.hb.v08.a0009218
EISBN: 978-1-62708-176-4
... and the rational polynomial creep equation are discussed. The article also describes the dependence of stress and temperature on equation parameters and explains the lot-centered regression analysis. creep creep-rupture data exponential creep lot-centered regression analysis rational polynomial creep...
Series: ASM Handbook
Volume: 22A
Publisher: ASM International
Published: 01 December 2009
DOI: 10.31399/asm.hb.v22a.a0005416
EISBN: 978-1-62708-196-2
.... , Sheard A. , Bhadeshia H.K.D.H. , and MacKay D.J.C. , Modelling the Creep Rupture Strength of Ferritic Steel Welds , Sci. Technol. Weld. Join. , Vol 5 , 2000 , p 81 – 89 9. Paris P.C. , Gomez M.P. , and Anderson W.E. , A Rational Analytic Theory of Fatigue Life...
Series: ASM Handbook
Volume: 6A
Publisher: ASM International
Published: 31 October 2011
DOI: 10.31399/asm.hb.v06a.a0005587
EISBN: 978-1-62708-174-0
... is the temperature at node i . Note that if distorted triangles are used, then understanding the mathematics becomes more complex, because the polynomial basis functions are distorted into rational functions. If the distortion is excessive, then the basis functions can become singular. However, distorted elements...
Series: ASM Handbook
Volume: 6
Publisher: ASM International
Published: 01 January 1993
DOI: 10.31399/asm.hb.v06.a0001480
EISBN: 978-1-62708-173-3
... ) T 3 = ∑ i = 1 3 φ i ( x , y ) T i where T i is the temperature at node i. Note that if distorted triangles are used, then understanding the mathematics becomes more complex, because the polynomial basis functions are distorted into rational functions...
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
... examples of these types of graphs with actual data. The ability to account for size effects of individual elements is introduced through the expression for ℜ i given by Eq 19 . A rational approach for justifying this expression is outlined above. Now a general expression for the probability...
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
... with significant penalties. A need exists for a rational consistent methodology on which to base important decisions such as to inspect, replace, or repair a structure. The field of probabilistic analysis is far too large to cover in a single article. Rather, this article provides an outline of the issues...
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
... widely. The first approach is to adopt a polynomial base function. It has been used in solidification models to construct a free energy for liquid and solid phases. One of the original forms appears as ( Ref 88 ): (Eq 42) f ( η , m ) = 1 4 η 4 − ( 1 2 − m 3 ) η 3...
Book Chapter

Series: ASM Desk Editions
Publisher: ASM International
Published: 01 December 1998
DOI: 10.31399/asm.hb.mhde2.a0003241
EISBN: 978-1-62708-199-3
... Abstract This article reviews the various types of mechanical testing methods, including hardness testing; tension testing; compression testing; dynamic fracture testing; fracture toughness testing; fatigue life testing; fatigue crack growth testing; and creep, stress-rupture, and stress...
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
..., it is important to define the searching direction and stepping size. The searching direction is decided by the direct differentiation or adjoint variable methods, and the stepping size is usually selected by polynomial curve fitting. Using the results of a finite-element simulation with a mesh system generated...
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
...: Ref 35 In using a derivative-based optimization scheme, it is important to define the searching direction and stepping size. The searching direction is decided by the direct differentiation or adjoint variable methods, and the stepping size is usually selected by polynomial curve fitting...
Series: ASM Handbook
Volume: 22B
Publisher: ASM International
Published: 01 November 2010
DOI: 10.31399/asm.hb.v22b.a0005544
EISBN: 978-1-62708-197-9
... (solid mechanics and finite-element analysis) Inputs: microstructural characteristics, properties of phases and constituents. Outputs: properties of materials, for example, modulus, strength, toughness, strain tolerance, thermal/electrical conductivity, and permeability; possibly creep and fatigue...
Series: ASM Handbook
Volume: 22A
Publisher: ASM International
Published: 01 December 2009
DOI: 10.31399/asm.hb.v22a.9781627081962
EISBN: 978-1-62708-196-2
Series: ASM Handbook
Volume: 13A
Publisher: ASM International
Published: 01 January 2003
DOI: 10.31399/asm.hb.v13a.a0003666
EISBN: 978-1-62708-182-5
... used in creep-testing machines are more practical. The primary advantage of any deadweight loading device is the constancy of the applied load. A constant-load system can be modified by the use of a calibrated spring, such as that shown in Fig. 13 . The proving ring, as used in the calibration...
Series: ASM Handbook
Volume: 2
Publisher: ASM International
Published: 01 January 1990
DOI: 10.31399/asm.hb.v02.9781627081627
EISBN: 978-1-62708-162-7