Johnson’s model

The theoretical straight lines in Fig. 4.23 are in consonance with the experimental data for all the PE samples. The best fit possibly corresponds to Johnson s model (1985), although the difference with other approaches is small within the range of H/Yc values considered. 

According to Johnson s model, the Pm/Ec ratio, where Ec is the modulus in compression, is described by ... 

Figure 4.24. Plot of H/Ec as a function of Yc/Ec, where Ec is the modulus in compression, for the PE samples investigated. Symbols are as in Fig. 4.23. The theoretical curve (continuous line) is drawn according to Johnson s model. (From Flores et al, 2000.)...

Johnson (1970) analyzed subaerial debris flows by means of a steady-state Bingham model (plastic-viscous model with soil yield resistance, k, and linear viscosity, r ). In Johnson s model the shear stress (t ) resisting displacement is related to the velocity of movement (ra ) in the following expression ... 

Indentation with a conical tip allows determination of the representative flow stress Tr at the representative indentation strain Cr. Following Johnson s model, Harvey et al. (1993) and Kramer et al. (1999) suggested that the representative flow stress Tr of a material could be determined measuring the plastic zone... 

Robinson, E.A., Johnson, S.A., Tang, T.-H., Gillespie, R.J. (1997). Reinterpretation of the lengths of bonds to fluorine in terms of an almost ionic model. Inorganic Chemistry, 36, 3022-3030. Schinder, H.L. Becke, A.D. (2000). Chemical contents of the kinetic energy density. Journal of Molecular Structure (THEOCHEM), 527, 51-61. 

C.A. McLinden, M.J. Prather, M.S. Johnson, Global modeling of the isotopic analogues of N2O Stratospheric distributions,budgets, and the 0 Omass-independent anomaly, /. Geophys. Res.-... 

The hemispherical core of radius a is immediately followed by a plastic zone. The plastic-elastic boundary lies here at a radius c, where c > a. The model allows the Pm/ T ratio to be related to a single non-dimensional variable ( tan 6)/ T, where is the contact angle between the sample and the indenter = 19.7° for a Vickers indenter). For v = 0.5, Johnson s analysis leads to ... 

Masters, T. G., Johnson, S., Laske, G. Bolton, H. 1996. A shear-velocity model of the mantle. Philosophical transactions of the Royal Society of London, Series A, 354,1385-1411. 

Johnson, S.R. (2008) The trouble with QSAR (or how I learned to stop worrying and embrace fallacy). Journal of Chemical Information and Modeling, 48 (1), 25-26. 

This result illustrates the amendment to the vacancy formation energy due to the embedding term. For Johnson s simple analytic model discussed in chap. 4, recall that the embedding function is given by... 

Reference Reynolds nimber pud Re =—E P M Effective diffusivity slab pseudchanqgeneous model De x 10 (niVs) Mean effective diffusivity De x 106 (m /s) Effective diffusivity Johnson-Stewart model De x 10 (m /s) Effective diffusivity Wakao-Smith model De x 106 (m /s)... 

Tanaka [36] proposed an indentation model that generalized Johnson s incompressible core model. In contrast to Johnson s treatment, the core in Tanaka s model is compressible and the term related to the plastic work dissipated to heat in the core is added ... 

The number of variables in this model is + 2 m — l)(n — 1) and the number of constraints is nm + n — m + 1. Flow shop problems with two or three stages can be solved using simple algorithms such as Johnson s method. Other methods such as branch and bound and dynamic programming are also available for solving larger size problems. 

Suhayda and Prior (1978) used an effective stress modification of Johnson s (1970) model to study transport chutes in the Gulf of Mexico. 

Johnson s interstitial electron model has not been used by others, the dominant model for metallic bonding being the band model. Recently the interstitial view was revived because new ab initio calculations (calculated approximations without... 

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