Thin plate effects in the Rayleigh-Taylor instability of elastic solids

Laser and Particle Beams

Volumn 24, Issue 2, 2006, Pages 275-282

  Piriz, A R ^a   Lopez Cela, J J ^d   Moreno, M C Serna ^a   Tahir, N A ^b   Hoffmann, D H H ^b,c  

^a UNIVERSITY OF CASTILLA LA MANCHA   (Spain)

^b GSI HELMHOLTZZENTRUM FÜR SCHWERIONENFORSCHUNG GMBH   (Germany)

^c DARMSTADT UNIVERSITY OF TECHNOLOGY   (Germany)

^d NONE

Author keywords

Elastic solids; Perturbation amplitude; Rayleigh Taylor instability; Semi infinite apporximation; Symmetry constraints

Indexed keywords

ELASTIC SOLIDS; PERTURBATION AMPLITUDE; RAYLEIGH-TAYLOR INSTABILITY; SEMI-INFINITE APPORXIMATION; SYMMETRY CONSTRAINTS;

ASYMPTOTIC STABILITY; ELASTICITY; FLOW OF SOLIDS; GROWTH (MATERIALS);

SOLIDS;

EID: 33745666502     PISSN: 02630346     EISSN: 1469803X     Source Type: Journal    
DOI: 10.1017/S0263034606060423     Document Type: Conference Paper

References (26)

1. ARNOLD, R.C., COLTON, E., FENSTER, S., FOSS, M., MAGFLSSEN, G. & MORETTI, A. (1982). Utilization of high-energy, small emittance accelerators? for ICF target experiments. Nucl. Instrum. Methods Phys. Res. 199, 557.
2. BAKHRAKH, S.M., DRENNOV, O.B., KOVALEV, N.P., LEBEDEV, A.I., MESHKOV, E.E., MIKHAILOV, A.L., NEVMERZHITSKY, N.V., NIZOVTSEV, P.N., RAYEVSKY, V.A., SIMONOV, G.P., SOLOVYEV, V.P. & ZHIDOV, I.G. (1997). Hydrodynamic instability in strong media. Lawrence Livermore National Laboratory Report No. UCRL-CR-126710.
3. BREIL, J., HALLO, L., MAIRE, P.H. & OLAZABAL-LOUME, M. (2005). Hydrodynamic instabilities in axisymmetric geometry self-similiar models and numerical simulations. Laser Part. Beams. 23, 47.
4. HENNING, W.F. (2004). The future GSI facility. Nucl. Instrum. Methods Phys. Res. B. 214, 155.
5. HOFFMANN, D.H.H., BLAZEVIC, A., NI, P., ROSMEJ, O., ROTH, M., TAHIR, N.A., TAUSCHWITZ, A., UDREA, S., VARENTSOV, D. WEYRICH, K. & MARON, Y. (2005). Present and future perspectives for high energy density physics with intense heavy ion and laser beams. Laser Part. Beams. 23, 47.
6. LANDAU, L.D. & LIFSHITS, E.M. (1986). Theory of Elasticity. 3rd. Edition. Oxford: Pergamon.
7. MILES, J.W. (1966). Taylor instability of a plate plate. General Dynamics Report No. GAMD-7335, AD643161.
8. PIRIZ, A.R., LOPEZ CELA, J.J., CORTAZAR, O.D., TAHIR, N.A. & HOFFMANN, D.H.H. (2005). Rayleigh-Taylor instability in elastic solids. Phys. Rev. E. 72, 056313.
9. PIRIZ, A.R., PORTUGUES, R.F., TAHIR, N.A. & HOFFMANN, D.H.H. (2002). Implosion of multilayered cylindrical targets driven by intense heavy ion beams. Phys. Rev. E. 66, 056403.
10. PIRIZ, A.R., PORTUGUES, R.F., TAHIR, N.A. & HOFFMANN, D.H.H. (2002). Analytic model for studying heavy-ion-imploded cylindrical targets. Laser Part. Beams. 20, 427.
11. PIRIZ, A.R., SANZ, J. & IBANEZ, L.F. (1997). Rayleigh-Taylor instability of steady ablation fronts: The discontinuity model revisited. Phys. Plasmas. 4, 1117.
12. PIRIZ, A.R., TAHIR, N.A., HOFFMANN, D.H.H. & TEMPORAL, M. (2003a). Generation of a hollow ion beam: Calculation of the rotation frequency required to accommodate symmetry constraint. Phys. Rev. E. 67, 017501.
13. PIRIZ, A.R., TEMPORAL, M., LOPEZ CELA, J.J., TAHIR, N.A. & HOFFMANN, D.H.H. (2003b). Symmetry analysis of cylindrical implosions driven by high-frequency rotating ion beams. Plasma Phys. Contr. Fusion. 45, 1733.
14. PLOHR, B.J. & SHARP, D.H. (1998). Instability of accelerated elastic metal plates. ZAMP. 49, 786.
15. STEINBERG, D.J., COCHRAN, S.G. & GUINAN, M.W. (1980). A constitutive model for metals applicable at high-strain rate. J. Appl. Phys. 51, 1498.
16. ROBINSON, A.C. & SWEGLE, J.W. (1989). Acceleration instability in elastic-platic solids: Analytical techniques. J. Appl. Phys. 66, 2859.
17. TAHIR, N.A., ADONIN, A., DEUTSCH, C., FORTOV, V.E., GRANDJOUAN, N., GEIL, B., GRAYAZNOV, V., HOFFMANN, D.H.H., KULISH, M., LOMONOSOV, I.V., MINTSEV, V., NI, P., NIKOLAEV, D., PIRIZ, A.R., SHILKIN, N., SPILLER, P., SHUTOV, A., TEMPORAL, M., TERNOVOI, V., UDREA, S. & VARENTSOV, D. (2005). Studies of heavy ion-induced highenergy density states in matter at the GSI Darmstadt SIS-18 and future FAIR facility. Nucl. Instrum. Methods Phys. Res. A. 544, 16.
18. TAHIR, N.A., HOFFMANN, D.H.H., KOZYREVA, A., SHUTOV, A., MARUHN, J.A., NEUNER, U., TAUSCHWITZ, A., SPILLER, P. & BOCK, R. (2001). Designing future heavy-ion-matter interaction experiments for the GSI Darmstadt heavy ion synchrotron. Nucl. Instrum. Methods Phys. Res. A. 464, 211.
19. TAHIR, N.A., JURANEK. H., SHUTOV A., REDMER R., PIRIZ A.R., TEMPORAL M., VARENTSOV D., UDREA S., HOFFMANN D.H.H., DEUTSCH C., LOMONOSOV I. & FORTOV V.E. (2003). Influence of the equation of state on the compression and heating of hydrogen. Phys. Rev. B. 67, 184101.
20. TAHIR, N.A., UDREA, S., DEUTSCH, C., FORTOV, V.E., GRANDJOUAN, G., GRYAZNOV, V., HOFFMANN, D.H.H., HULSMANN, P., KIRK, M., LOMONOSOV, I.V., PIRIZ, A.R., SHUTOV, A., SPILLER, P., TEMPORAL, M. & VARENTSOV, D. (2004). Target heating in high-energy-density matter experiments at the proposed GSI FAIR facility: Non-linear bunch rotation in SIS 100 and optimization of spot size and pulse length. Laser Part. Beams. 22, 485.
21. TAYLOR, G.I. (1950). The instability of liquid surfaces when accelerated in a direction perpendicular to their planes. I. Proc. R. Soc. London. A 201, 192.
22. TEMPORAL, M., LOPEZ-CELA, J.J., PIRIZ, A.R., GRANDJOUAN, N., TAHIR, N.A. & HOFFMANN, D.H.H. (2005). Compression of a cylindrical hydrogen sample driven by an intense co-axial heavy ion beam. Laser Part. Beams. 23, 137.
23. TEMPORAL, M., PIRIZ, A.R., GRANDJOUAN, N., TAHIR, N.A. & HOFFMANN, D.H.H. (2003). Numerical analysis of a multi-layered cylindrical target compression driven by a rotating intense heavy ion beam. Laser Part. Beams. 21, 609.
24. TERRONES, G. (2005). Fastest growing linear Rayleigh-Taylor modes at solid/fluid and solid/solid interfaces. Phys. Rev. E. 71, 036306.
25. WHITE, G.N. (1973). A one-degree-of-freedom model for the taylor instability of an ideally plastic metal plate. Los Alamos National Laboratory Report LA-5225-MS.
26. WOUCHUK, J.G. & PIRIZ, A.R. (1995). Growth rate reduction of the Rayleigh-Taylor instability by ablative convection. Phys. Plasmas. 2, 493.