Analysis of deformation of aluminum plates under the influence of nano- and microsecond laser pulses

The paper presents numerical modeling of interaction of strong laser radiation with conventional aluminum sheets, similar to those used in military technology. The theoretical model uses equations of continuum mechanics (equations of hydrodynamics and the equations of mechanics of solid bodies in a cylindrical coordinates r, z), enriched with equations describing the typical effects of high temperature, such as absorption of laser radiation within the Al shield, electronic and radiative thermal conductivity, and energy loss on phase transitions (melting, evaporation, ionization). Semiempirical equations of state were used to describe the properties of material in the conditions of large deformation and the Johnson-Cook’s model. The equations were solved using the method of free points developed by one of the authors. Two kinds od laser pulses were considered: microsecond pulse with duration of 200 μs and a low peak power of 10 kW/cm2 (CW laser), and nanosecond pulse with duration of 10 ns and high peak power of 5 GW/cm2 (pulsed laser). The aim of this study was to determine the shapes and temperatures of Al plates under the influence of these pulses for the comparison of the numerical results with future experiments and to verify the possibility to determine the distribution of the energy density of the laser beam on the basis of the plate deformation.

[1]  Yvonne Schuhmacher.  Extreme Physics Properties And Behavior Of Matter At Extreme Conditions , 2016 .

[2]  J. Duderstadt,et al.  Ionization and radiation dynamics of dense MHD plasmas , 1978 .

[3]  M. Stafe.  Theoretical photo-thermo-hydrodynamic approach to the laser ablation of metals , 2012 .

[4]  S. P. Gill,et al.  Physics of Shock Waves and High-Temperature Hydrodynamic Phenomena , 2002 .

[5]  Naofumi Ohnishi.  Toward an accurate numerical simulation of radiation hydrodynamics in laser ablation plasmas , 2012 .

[6]  J. Hoffman,et al.  Modelling of plasma formation during nanosecond laser ablation , 2011 .

[7]  E. W. Laing,et al.  Method of solution of a three‐temperature plasma model and its application to inertial confinement fusion target design studies , 1986 .

[8]  M. Wilkins.  Modeling the Behavior of Materials , 1984 .

[9]  Chengwei Sun,et al.  Computational study of nanosecond pulsed laser ablation and the application to momentum coupling , 2012 .

[10]  V. V. Nossov,et al.  Modelling of radiation transfer in low temperature nanosecond laser-induced plasma of Al vapour , 2004 .

[11]  R. J. Bell,et al.  Optical properties of the metals Al, Co, Cu, Au, Fe, Pb, Ni, Pd, Pt, Ag, Ti, and W in the infrared and far infrared. , 1983, Applied optics.

[12]  D. Steinberg,et al.  A constitutive model for metals applicable at high-strain rate , 1980 .

[13]  W. Stępniewski,et al.  Three-temperature model for the dynamics of a plasma produced by exploding metal wires , 2000 .

[14]  Baldev Raj,et al.  Dynamics of plasma expansion in the pulsed laser material interaction , 2010 .

[15]  Narayan,et al.  Pulsed-laser evaporation technique for deposition of thin films: Physics and theoretical model. , 1990, Physical review. B, Condensed matter.

[17]  S. Joshi,et al.  Models for predicting temperature dependence of material properties of aluminum , 2014 .

[18]  Daniel Casem,et al.  Shock and mechanical response of 2139-T8 aluminum , 2012 .

[19]  Rick M. Rauenzahn,et al.  Temporal accuracy of the nonequilibrium radiation diffusion equations employing a Saha ionization model , 2005, Comput. Phys. Commun..

[20]  C. M. Lund,et al.  A constitutive model for strain rates from 10−4 to 106 s−1 , 1989 .

[21]  V. Rozanov,et al.  Equations of state for metals (Al, Fe, Cu, Pb), polyethylene, carbon, and boron nitride as applied to problems of dynamical compression , 1997 .