Nonlinear finite element analysis of a multiwalled carbon nanotube resting on a Pasternak foundation

Chih Ping Wu; Chia Hao Lin; Yung Ming Wang

doi:10.1080/15376494.2018.1444222

Nonlinear finite element analysis of a multiwalled carbon nanotube resting on a Pasternak foundation

Chih Ping Wu, Chia Hao Lin, Yung Ming Wang

Department of Civil Engineering

Research output: Contribution to journal › Article › peer-review

5 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	1505-1517
Number of pages	13
Journal	Mechanics of Advanced Materials and Structures
Volume	26
Issue number	18
DOIs	https://doi.org/10.1080/15376494.2018.1444222
Publication status	Published - 2019

All Science Journal Classification (ASJC) codes

Civil and Structural Engineering
Mathematics(all)
Materials Science(all)
Mechanics of Materials
Mechanical Engineering

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abstract = "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.",

author = "Wu, {Chih Ping} and Lin, {Chia Hao} and Wang, {Yung Ming}",

note = "Funding Information: Ministry of Science and Technology of the Republic of China MOST 106-2221-E-006-036-MY3.",

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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.

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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Nonlinear finite element analysis of a multiwalled carbon nanotube resting on a Pasternak foundation

Abstract

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