General investigation for longitudinal wave propagation under magnetic field effect via nonlocal elasticity

doi:10.1007/s10483-015-1985-9

摘要/Abstract

摘要： In this paper, the propagation of longitudinal stress waves under a longitudinal magnetic field is addressed using a unified nonlocal elasticity model with two scale coefficients. The analysis of wave motion is mainly based on the Love rod model. The effect of shear is also taken into account in the framework of Bishop's correction. This analysis shows that the classical theory is not sufficient for this subject. However, this unified nonlocal elasticity model solely used in the present study reflects in a manner fairly realistic for the effect of the longitudinal magnetic field on the longitudinal wave propagation.

关键词: nonlocal elasticity, wave propagation, magnetic field, Rayleigh-Bishop rod

Abstract: In this paper, the propagation of longitudinal stress waves under a longitudinal magnetic field is addressed using a unified nonlocal elasticity model with two scale coefficients. The analysis of wave motion is mainly based on the Love rod model. The effect of shear is also taken into account in the framework of Bishop's correction. This analysis shows that the classical theory is not sufficient for this subject. However, this unified nonlocal elasticity model solely used in the present study reflects in a manner fairly realistic for the effect of the longitudinal magnetic field on the longitudinal wave propagation.

Key words: wave propagation, Rayleigh-Bishop rod, magnetic field, nonlocal elasticity

中图分类号:

O353
O361

U. GÜVEN. General investigation for longitudinal wave propagation under magnetic field effect via nonlocal elasticity[J]. Applied Mathematics and Mechanics (English Edition), 2015, 36(10): 1305-1318.

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