RT Journal Article
T1 Non-standard and constitutive boundary conditions in nonlocal strain gradient elasticity
A1 Zaera, Ramón
A1 Serrano González, Óscar
A1 Fernández-Sáez, José
AB Zaera et al. (Int J Eng Sci 138:65-81, 2019) recently showed that the nonlocal strain gradient theory (NSGT) is not consistent when it is applied to finite solids, since all boundary conditions associated to the corresponding problems cannot be simultaneously satisfied. Given the large number of works using the NSGT being currently published in the field of generalized continuum mechanics, it is pertinent to evince the shortcomings of the application of this theory. Some authors solved the problem omitting the constitutive boundary conditions. In the current paper we show that, in this case, the equilibrium fields are not compatible with the constitutive equation of the material. Other authors solved it omitting the non-standard boundary conditions. Here we show that, in this case, the solution does not fulfil conservation of energy. In conclusion, the inconsistency of the NSGT is corroborated, and its application must be prevented in the analysis of the mechanical behaviour of nanostructures.
PB Springer
SN 0025-6455
SN 1572-9648 (electronic)
YR 2020
FD 2020-03-01
LK https://hdl.handle.net/10016/36192
UL https://hdl.handle.net/10016/36192
LA eng
NO The authors are indebted to the Ministerio de Ciencia e Innovación de España (Projects DPI-2014-57989-P, PGC2018-098218-B-I00, and BES-2015-073720) for the financial support.
DS e-Archivo
RD 30 jun. 2024