TY - JOUR A2 - Liu, Jun AU - Barretta, Raffaele AU - Marotti de Sciarra, Francesco PY - 2013 DA - 2013/11/20 TI - A Nonlocal Model for Carbon Nanotubes under Axial Loads SP - 360935 VL - 2013 AB - Various beam theories are formulated in literature using the nonlocal differential constitutive relation proposed by Eringen. A new variational framework is derived in the present paper by following a consistent thermodynamic approach based on a nonlocal constitutive law of gradient-type. Contrary to the results obtained by Eringen, the new model exhibits the nonlocality effect also for constant axial load distributions. The treatment can be adopted to get new benchmarks for numerical analyses. SN - 1687-8434 UR - https://doi.org/10.1155/2013/360935 DO - 10.1155/2013/360935 JF - Advances in Materials Science and Engineering PB - Hindawi Publishing Corporation KW - ER -