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

Chih Ping Wu, Chia Hao Lin, Yung Ming Wang

Research output: Contribution to journalArticlepeer-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 languageEnglish
Pages (from-to)1505-1517
Number of pages13
JournalMechanics of Advanced Materials and Structures
Volume26
Issue number18
DOIs
Publication statusPublished - 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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