1,721,024 research outputs found
On the first—order speeds in any directions of acceleration waves in prestressed second—order isotropic, compressible, and homogeneous materials
No full textIn this paper, using the perturbation method we proposed in [A. Marasco, A. Romano, On the ordinary waves in second-order elastic, isotropic, compressible, and homogeneous materials, Math. Comput. Modelling 49 (7-8) (2009) 1504-1518], the first–order terms of the speeds and the amplitude of the principal waves and of the waves in any propagation direction are determined in second–order elastic, isotropic, compressible, and homogeneous materials. Moreover, for the general waves we determine the relations among the second–order constitutive constants which ensure that the waves are longitudinal or transverse
CORSO DI PERFEZIONAMENTO IN DIDATTICA DELLE SCIENZE NATURALI, Facoltà di Scienze MM.FF.NN., Università degli Studi di Napoli Federico II
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The critical case and Hopf’s bifurcation.The principle of gyroscopic effect in any solid
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MASTER "Rischio ambientale: analisi e monitoraggio per la bonifica dei siti contaminati" (II livello), Facoltà di Scienze MM.FF.NN., Università degli Studi di Napoli Federico II.
No full textSecond-order effects on the wave propagation in finite elasticity
No full textIn this paper, for arbitrary sufficiently small deformations, the propagation of the acceleration waves in isotropic and homogeneous materials is discussed in the contest of second–order elasticity by using a perturbation method. This method allows us to determine the first-order terms of the speeds as well as the amplitudes both of the principal waves and the waves in any arbitrary direction of propagation, when the undisturbed region is subjected to an arbitrary deformation. Finally, some numerical results are presented in some conventional Mooney-Rivlin materials
Second—order effects on the wave propagation in elastic, isotropic, incompressible, and homogeneous media
No full textIn this paper we propose a perturbation method to investigate the propagation of the ordinary waves in second–order elastic, isotropic, incompressible, and homogeneous materials. This method allows us to determine the first–order terms of the speeds and the amplitudes both of the principal waves and the waves in any propagation direction, when the undisturbed region is subjected to an arbitrary isochoric deformation. Another application of this method is presented when the undisturbed region is subjected to a simple shear. Finally, some numerical results are presented in Mooney–Rivlin materials
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