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The investigation of the nonlocal longitudinal stress waves with modified couple stress theory

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Abstract

In the present work, the propagation of longitudinal stress waves is investigated using a modified couple stress theory. The analysis of wave motion is based on a Love rod model including the effects of lateral deformation. The present analysis also considers the effect of shear stress components. By applying Hamilton’s principle, the explicit nonlocal elasticity solution is obtained, and the effects of shear stress and length scale parameter are discussed.

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Authors and Affiliations

  1. Department of Mechanical Engineering, Yildiz Technical University, Besiktas, 34349, Istanbul, Turkey

    U. Güven

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  1. U. Güven
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Correspondence to U. Güven.

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This work is dedicated to Herrn Prof. Dr. h. c. M. Cengiz Dokmeci on occasion of his 75th birthday, wishing him good health, happiness, and many more years of creative activity.

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Güven, U. The investigation of the nonlocal longitudinal stress waves with modified couple stress theory. Acta Mech 221, 321–325 (2011). https://doi.org/10.1007/s00707-011-0500-4

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  • DOI: https://doi.org/10.1007/s00707-011-0500-4

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