Generalized electromagneto-thermoviscoelastic in case of 2-D thermal shock problem in a finite conducting medium with one relaxation time M. I. A. Othman, Salalah, Sultanate of Oman Received September 29, 2003; revised January 28, 2004 Published online: May 5, 2004 Ó Springer-Verlag 2004 Summary. This paper studies the problem of two-dimensional electromagneto-thermovisco-elasticity based on Lord-Shulman theory for a thermally and electrically conducting half-space solid whose surface is subjected to a thermal shock. There acts an initial magnetic field parallel to the plane boundary of the half-space. The medium deforms because of thermal shock and due to the application of the magnetic field, it results in induced magnetic and electric fields in the medium. The normal mode analysis is used to obtain the exact expressions for the considered variables. The distributions of the temperature, displacement, stress, induced magnetic and electric fields are represented graphically. Comparisons are made with the results predicted by both the coupled theory and with the theory of generalized thermo-viscoelasticity with one relaxation time. Nomenclature k; l Lame’s constants q density C E specific heat at constant strain t time T absolute temperature T o reference temperature chosen so that TT o T o       << 1 h temperature increment r ij components of stress tensor e ij components of strain tensor S ij components of stress deviator tensor e dilatation u i components of displacement vector RðtÞ relaxation function k thermal conductivity A; b; a  experimental constants K k þ 2 3 l bulk modulus s o relaxation time a T coefficient of linear thermal expansion c 3 K a T e c qC E , coupling parameter Acta Mechanica 169, 37–51 (2004) DOI 10.1007/s00707-004-0101-6 Acta Mechanica Printed in Austria