A generalized nonlocal elasticity solution for the propagation of longitudinal stress waves in bars

Guven, Uğur

doi:10.1016/j.euromechsol.2013.11.014

A generalized nonlocal elasticity solution for the propagation of longitudinal stress waves in bars

Atıf İçin Kopyala

Guven U.

EUROPEAN JOURNAL OF MECHANICS A-SOLIDS, cilt.45, ss.75-79, 2014 (SCI-Expanded)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 45
Basım Tarihi: 2014
Doi Numarası: 10.1016/j.euromechsol.2013.11.014
Dergi Adı: EUROPEAN JOURNAL OF MECHANICS A-SOLIDS
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Sayfa Sayıları: ss.75-79
Yıldız Teknik Üniversitesi Adresli: Hayır

Özet

In the present work, the propagation of one dimensional wave along the axial direction of a nano scale bar is investigated using a unified nonlocal elasticity model with two parameters. The present analysis is mainly based on Love rod theory. However, the total elastic strain energy is calculated including the shear stress components by considering Bishop correction. Thus, by applying Hamilton's principle, the explicit generalized nonlocal elasticity solution is obtained, and then, the comparative results of analysis are presented in detail. (C) 2013 Elsevier Masson SAS. All rights reserved.