TY - JOUR
T1 - Nonlinear finite element analysis of a multiwalled carbon nanotube resting on a Pasternak foundation
AU - Wu, Chih Ping
AU - Lin, Chia Hao
AU - Wang, Yung Ming
N1 - Funding Information:
Ministry of Science and Technology of the Republic of China MOST 106-2221-E-006-036-MY3.
Publisher Copyright:
© 2018, © 2018 Taylor & Francis Group, LLC.
PY - 2019
Y1 - 2019
N2 - In conjunction with the Reissner's mixed variational theorem and nonlocal Timoshenko beam theory, we develop a finite element method for the geometrically nonlinear bending analysis of a multiwalled carbon nanotube resting on an elastic foundation and with various boundary conditions. The effects of the van der Waals interaction and the interaction between the multiwalled carbon nanotube and its surrounding medium are considered. Numerical implementation shows that the finite element solutions converge rapidly, and their convergent solutions closely agree with those obtained using the differential quadrature method, based on a strong-form formulation, available in the literature.
AB - In conjunction with the Reissner's mixed variational theorem and nonlocal Timoshenko beam theory, we develop a finite element method for the geometrically nonlinear bending analysis of a multiwalled carbon nanotube resting on an elastic foundation and with various boundary conditions. The effects of the van der Waals interaction and the interaction between the multiwalled carbon nanotube and its surrounding medium are considered. Numerical implementation shows that the finite element solutions converge rapidly, and their convergent solutions closely agree with those obtained using the differential quadrature method, based on a strong-form formulation, available in the literature.
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U2 - 10.1080/15376494.2018.1444222
DO - 10.1080/15376494.2018.1444222
M3 - Article
AN - SCOPUS:85043310912
VL - 26
SP - 1505
EP - 1517
JO - Mechanics of Advanced Materials and Structures
JF - Mechanics of Advanced Materials and Structures
SN - 1521-0596
IS - 18
ER -