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A preferred alternative is the Lagrange multiplier method that was first introduced by Hughes et al. [1] for contact-impact problems.
The first extension of the mortar FEM to the unilateral contact problem was made by Belgacem et al. [8] presenting a theoretical basis that was implemented by Hild [9].
These two blocks share the same elastic constants Eb and νb = 0.3, and the constitutive parameters for the layer are El = 1 and νl = 0.3 together with a friction coefficient µ = 0.25 between both materials.
Our interest is to investigate the effect of the stiffness ratio Eb/El on the contact forces and the solution algorithm efficiency.
Fig. 10: Effect of regularization in the convergence for Eb/El = 1000.

Shahriar Iftekhar et al. [7] investigated the composition–property relationships of La2O3–Al2O3–SiO2 glass system.
Composition SiO2 B2O3 Al2O3 CaO La2O3 Al/B G1 60.0 21.7 8.3 8.0 2.0 0.38 G2 60.0 19.0 11.0 8.0 2.0 0.58 G3 60.0 17.0 13.0 8.0 2.0 0.76 G4 60.0 15.3 14.7 8.0 2.0 0.96 G5 60.0 14.0 16.0 8.0 2.0 1.14 Results and Discussion In order to understand the effect of compositional variation on the structure of aluminoborosilicate glasses, it was considered that the mid infrared region (400-2000 cm-1) where the vibration modes of aluminoborosilicate glasses were active.
Ionic bonds between the alkaline earth cations and anionic non-bridging oxygen A–O- (A=B, Si, Al) were broken by OH- ions.
Sharaf El-Deen: Mater.

Enzyme solution was extracted using the procedure described by Zhang et al[11].
Xu et al. reported that 100 mM NaCl inhibited seed germination and seedling growth of Oryza sativa L.
El-Mahrouk and Y.
Guo, et al.
El Ferjani: Plant Growth Regulation (2014), p1 [19] R.

Later, Feng et al. [8] showed strong photoluminescence property in WO3 thin films at room temperature.
Gerand et al. [15] also reported the hexagonal structure of WO3 thin films.
Feng, A.L.
El-Nahass and K.
Abd El-Hady, Structural and optical characterization of thermally evaporated tungsten trioxide (WO3) thin films, Saudi.

Duan et. al. [5] showed that activated carbon in the catalytic pyrolysis was able to produce an upgraded bio-oil.
Furthermore, the effect of the ratio of active zeolite catalyst and biomass feed on pyrolysis result was reviewed by Damayanti et. al. [6].
This phenomenon was similar to the study carried out by Rabiu et.al. [12] and Saracoglu et al. [13].
El Achaby, E.
El harfi, Valorization of algal waste via pyrolysis in a fixed-bed reactor: Production and characterization of bio-oil and bio-char, Bioresour.

El-Etre, Natural Honey as Corrosion Inhibitor for Metals and Alloys I - Copper in Neutral Aqueous Solution, Corrosion Science 40(1998): 1845-1850
Okafor et al., Inhibitory Action of Phyllanthus Amarus Extract on the Corrosion of Mild Steel in Acidic Media.
El-Etre, Inhibition of Acid Corrosion of Carbon Steel Using Aqueous Extract of Olive Leaves, Journal of Colloid and Interface Science 314(2007): 578-583
Andarwulan, et al., Flavonoid Content and Antioxidant Activity of Vegetables from Indonesia, Food Chemistry, 2010
Mejeha, et al., The Inhibitive Effect of Solanum Melongena L.

El- Okene 3, c and S.
Thirty seeds from each sample were used to determine the oil content using Diethyl ether solvent as described by Harold et al [9].
The formulae used for computing relevant parameters in groundnut oil kneading methods are given below as reported by Maduako et al. [6].
This agrees with Harold et al [9] which reported that the oil content of most groundnut variety is within 43- 45 % and that tropical groundnut variety is 43 %.
El-Okene and I.

El-Danaf, M.S.
El-Rayes, Enhancement of mechanical properties and grain size refinement of commercial purity aluminum 1050 processed by ECAP, Materials Science and Engineering A 458 (2007) 226–234
S, Ehab A., El-Danafa A., Abdulhakim A., Effect of Equal-Channel Angular Pressing Process on Properties of 1050 Al Alloy, Materials and Manufacturing Processes Vol.27, Issue 7, (2011) 746-750.

Army Research Laboratory, Adelphi, MD. 20783, USA aronald.green39.civ@mail.mil, baivars.j.lelis.civ@mail.mil, cmooro.i.el.ctr@mail.mil, ddaniel.b.habersat.civ@mail.mil Keywords: SiC, DMOSFET, Charge Trapping, VT instability, BTS.
El, and D.
Kaplar, et al., Proc.

El-Kawni1, W.
Shibata et al. [13] reported that rapid annealing of amorphous film prevents random nucleation in the film.
El-Kawni, E.