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Numerical Model for Prediction of Cutting Forces in a Vibratory Drilling Process Nawel Glaa1, a, Kamel Mehdi1, 2, b * and Moez Ben Jaber3, c, 1URMSSDT, Superior School of Sciences and Techniques of Tunis (ESSTT), University of Tunis (UT), 5 Avenue Taha Hussein P.B. 56 Bab Mnara 1008 Tunis, Tunisia 2Preparatory Institute for Engineering Studies El Manar (IPEIMa), University of Tunis EL Manar (UTM), PB. 24, 2092 Tunis, Tunisia 3Engineering National School of Tunis (ENIT), University of Tunis EL Manar (UTM), 1068 Tunis, Tunisia aglaanawel@hotmail.com, b kamel_mehdi2002@yahoo.fr, c moez_benjaber@yahoo.fr * Corresponding author Key words: vibratory drilling, cutting forces, numerical simulation.
In a future work we will test the model on drilling process of CFRP/Al or CFRP/Ti stack and we will compare numerical results to experiment results.

Theoretical Analysis of Photonic Band Gaps and Defect Modes of Novel Photonic Crystal Waveguides Consisting of Si-Ion Implanted SiO2 Using the Finite-Difference Time-Domain Method Amarachukwu Valentine Umenyia, Shin-ya Kawashirib, Kenta Miurac, and Osamu Hanaizumid Department of Electronic, Graduate School of Engineering, Gunma University, Kiryu, Japan a amarachi@el.gunma-u.ac.jp, b t08801615@gunma-u.ac.jp, c miura@el.gunma-u.ac.jp, d hana@el.gunma-u.ac.jp Keywords: ion implantation, finite-difference time-domain method, photonic crystal waveguide, silicon photonics, photonic bandgap Abstract.
Pavesi et al. [6] estimated the effective refractive index of the Si-rich region (implantation dose=1x1017 ions/cm2, energy=80 keV) to be neff=1.89.

El=i=1Nkl2li-l0l02 (1) Eb=i=1Nkb2tan2θi2 (2) Et=i=1Nkt2(ti-t0)2 (3) EA=kA2A-ArefAref2 (4) Aref=Rπro2 (5) The resting shape of the cell is obtained through minimising total energy stored in the membrane given by Eq. 6a and 6b for the composite and two-layer models respectively.
E=El+Eb+EA E=El+Eb+EA,bilayer+EA,cytoskeleton+Et (6a) (6b) Fi=-∂E∂ri (7) Parameter Values.
The relaxed interaction spring length, to, was selected from the work of Heinrich et al. [9] who concluded the bilayer and cytoskeleton were offset by an average of 30 nm.

Melent’ev, E.L.
Dobkin, et al., Ash and slag materials and ash dumps, Moscow, Energy, 1978
Mohamed, El M.
El Gamal, Sulfur concrete for the construction industry.

Fig. 2 Epipolar line constraint The image of the 3D object point A on the left and right image planes are set up to respectively al(ul, vl) and ar(ur, vr), that is, al and ar are corresponding points.
All epipolar lines on image plane intersect to a same point, this point is referred to epipole, el and er respectively for left and right image.
If the image point al on the Cl is known, then the corresponding point ar on the Cr must locate on the epipolar line pr, and vice versa.
Fig. 3 Calculating epipole positions 5) Following the same steps, an epipolar line al0bl on the left image plane can be obtained, and then al0bl and ar0br epipolar lines determine conjugate epipolar line. 6) Changing position of point A, getting another epipolar plane, repeating the same steps, another conjugate epipolar line a1ibl and aribr can be gained. 7) Respectively on the left and right image plane, the intersection point can be calculated, which is the epipole el and er on image plane.

Santos et al. [4] investigated mechanical properties of PP reinforced with recycle-PET fibers.
Cheung et al. [5] studied mechanical and rheological properties of PET/PP blends.
Pang et al. [6] studied effects of a compatibilizing agent, on the morphology, interface and mechanical behavior of PP/rPET blends.
PP (EL-Pro, P700J) was obtained from Thai Polyethylene while PET was collected from post-consumer soft-drink bottle.
PE wax (EL-WAX, LP 1040E) was also supported by Thai Polyethylene.

High purity Ti-Al-V discs were obtained from the Good Fellows UK. 2.2 The coating of the Ti6Al4V disc with PLA biocomposite thin films Ti6AL4V metallic implant discs were used as a substrate in this study.
The preparation of O-phthaldialdehyde reagent is described within the research of Chou et al. in details [10].
Elghnimi et al., reported the detailed standard curve method [11]. 3.
El-Majri, R.
[13] G.M El-Maghraby, M.M.

These can be divided into (a) automatic longitudinal welds (AL) between tubes and flags on individual MWP panels; submerged arc welding 121 (SAW) with a single-layer weld with preheating (150 – 200)°C and without PWHT (sample 5); (b) manual “assembly” welds (ML) performed by the 141 (TIG) method, in which flags were “welded” between the tubes of individual panels (samples 2, 3, 4 and B); (c) manual “assembly” circumferential welds (MC) between tubes and between forgings of transition pieces (forks) by the 141 (TIG) method (sample 6); (d) repair welds (RL) (of found defects in welds) by method 141 (TIG) (samples 5 and 6).
[5] Klenk, A. et al.: Crack Mechanism Understanding and Failure Avoiding Treatment of T24 Tube Material in Advanced Super Critical Coal Fired Steam Generators, Final report (CRAMUFAT24), European Commission, 2017
[6] Mráz, L´. et al.: Bevels with the utility properties of steel T24, Zváranie, No. 5-6, 2012, p. 105-113.
(in Slovak) [7] Kasl, J., Fikrlová R.: Analysis of defects in boiler tubes from El.
(in Czech) [8] Kasl, J., Fikrlová R.: Analysis of defects in boiler tubes from El.

For example, Li et al. [8] studied the improvement in stiffness and load carrying capacity of beam-to-column connections reinforced with hybrid FRP (E-glass woven roving, chopped strand mat, carbon cloth and glass fibre tape) sheets.
Jianguo, et al.
El Debs, A.
El Debs, Analysis of a semi-rigid connection for precast concrete.
Li, et al., Behaviour of concrete beam–column connections reinforced with hybrid FRP sheet.

Thus, Levin et al [9] has suggested that an increase of coating hardness may lead to an increase in abrasion resistance of weld overlay coatings.
According to Correa et al. [15], GTAW process provides suitable results in many situations because of its ability to control the welding parameters (heat input, travel speed and type of coating) during the welding and subsequent coating hardness, but this control only was observed for microhardness in the coating deposit.
[6] A.L.
EL-Wahabi, J.M.
El Mansori and M.