Reuss

The following flow model is provided by the Prandtl-Reuss law (see Sadovskii, 1992, 1997) ... 

The flow model of Prandtl-Reuss for elastoplastic plate is as follows ... 

In this section the existence of a solution to the three-dimensional elastoplastic problem with the Prandtl-Reuss constitutive law and the Neumann boundary conditions is obtained. The proof is based on a suitable combination of the parabolic regularization of equations and the penalty method for the elastoplastic yield condition. The method is applied in the case of the domain with a smooth boundary as well as in the case of an interior two-dimensional crack. It is shown that the weak solutions to the elastoplastic problem satisfying the variational inequality meet all boundary conditions. The results of this section can be found in (Khludnev, Sokolowski, 1998a). 

We prove an existence of solutions for the Prandtl-Reuss model of elastoplastic plates with cracks. The proof is based on a special combination of a parabolic regularization and the penalty method. With the appropriate a priori estimates, uniform with respect to the regularization and penalty parameters, a passage to the limit along the parameters is fulfilled. Both the smooth and nonsmooth domains are considered in the present section. The results obtained provide a fulfilment of all original boundary conditions. 

Anzellotti G. (1983) On the existence of the rates of stress and displacement for Prandtl-Reuss plasticity. Quart. Appl. Math. J. 41, 181-208. 

Temam R. (1986) A generalized Norton-Hoff model and the Prandtl-Reuss law of plasticity. Arch. Rat. Mech. Anal. 95, 137-181. 

Reusse, m. Russian, reverberieren, v.t. reverberate. Reverberier-ofen, m., -feuer, n. reverberatory furnace, reverberatory, reversibel, a. reversible. 

Fig. 15. The coefficient Rla for hydrogen + nitrogen. O, calculated by Reuss and Beenakker from the results of Dokoupil, et al. A, calculations by us from the same results , measurements of Michels and Wassenaar A, Michels and Boerboom V, Verschoyle. The line is calculated from the parameters in the text.

Figure 15 shows the second virial coefficients derived independently by us and by Reuss and Beenakker66 from the measurements of solubility by Dokoupil, van Soest, and Swenker,18 and the coefficients at room temperature from the conventional measurements of Verschoyle,86 Michels and Wassenaar,49 and Michels and Boer-boom.47 These results are sufficient to give unambiguously the parameters of a 12-6 potential... 

Figure 17 shows two sets of virial coefficients—derived by us and by Reuss and Beenakker56 from the measurements of Dokoupil,... 

Extensive monitoring of the chemistry of precipitation is now available fi-om networks in both North America and Europe. Representative values of the major soluble species that account for most of the measured conductance of the samples at three United States sites are shown in (Table I) (77). It will be noted that the acidity, which is measured directly as pH, is due primarily to the presence of nitrate and sulphate ions that are not balanced by associated cations. While direct pH measurements are a valid measure of precipitation acidity, Reuss (18) has proposed that a balance of the principle ionic species, as in Equation 1 would provide a more appropriate definition of the acidity in relation to possible ecosystem responses. 

Images of combustion in a spark-assisted HCCl engine. Time is relative to the start of ignition. (Courtesy of Dr. Vinod Natarajan and Dr. Dave Reuss.)... 

Daun G, H Lenke, M Reuss, H-J Knackmuss (1998) Biological trearment of TNT-contaminated soil. 1. Anaerobic cometabolic reduction and interaction of TNT and metabolites with soil components. Environ Sci Technol 32 1956-1963. 

Boleininger, J., Kurz, A., Reuss, V. and Sonnichsen, C. (2006) Microfluidic continuous flow synthesis of rod-shaped gold and silver nanocrystals. Physical Chemistry Chemical Physics, 8, 3824-3827. 

Ragone, D.V., 348 Randall, Merle, 114 Randles, John E.B., 202, 608 Raney, Murray, 535 Rault, Frangois Marie, 99 Reymond, R, 618 Reuss, Ferdinand Friedrich, 595 Rohrer, H 484 Robinson, J., 504 Robinson, Robert A., 122 Ryder, K.S., 463 Rysselberghe, Pierre van, 698... 

N. Wills, L. Reuss, and S. Lewis, eds., Epithelial Transport A Guide to Methods and Experimental Analysis, Chapman Hall, Bury St Edmunds, 1996. 

Cotton, C. U. Reuss, L., Measurement of the effective thickness of the mucosal unstirred layer in Necturus gallbladder epithelium, J. Gen. Physiol. 93, 631-647 (1989). 

---