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Homotopy perturbation method and variational iteration method for harmonic waves propagation in nonlinear magneto-thermoelasticity with rotation. (English) Zbl 1264.74281
Summary: The homotopy perturbation method and variational iteration method are applied to obtain the approximate solution of the harmonic waves propagation in a nonlinear magneto-thermoelasticity under influence of rotation. The problem is solved in one-dimensional elastic half-space model subjected initially to a prescribed harmonic displacement and the temperature of the medium. The displacement and temperature are calculated for the methods with the variations of the magnetic field and the rotation. The results obtained are displayed graphically to show the influences of the new parameters and the difference between the methods’ technique. It is obvious that the homotopy perturbation method is more effective and powerful than the variational iteration method.
MSC:
74S30Other numerical methods in solid mechanics
74H10Analytic approximation of solutions for dynamical problems in solid mechanics
74F05Thermal effects in solid mechanics
74F15Electromagnetic effects in solid mechanics