Bending of Microstructure-Dependent MicroBeams and Finite Element Implementations with R

  • Khameel B. Mustapha
Part of the SpringerBriefs in Applied Sciences and Technology book series (BRIEFSAPPLSCIENCES)


The bending response of microstructure-dependent miniature beam-like structures is examined within the theoretical framework of the modified couple stress theory. Predicated on a planar assumed displacement field, and adopting the small-strain, linearly elastic and Timoshenko’s shear deformable beam theory assumptions, the equilibrium equations governing the bending response of these structures are established via the variational method. Finite element solutions of the model are sought. The finite element solutions are implemented in the R programming language and then employed to illustrate the influence of size-effect on the bending response of microscale beams.


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Copyright information

© The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd. 2019

Authors and Affiliations

  • Khameel B. Mustapha
    • 1
  1. 1.Department of Mechanical, Materials and Manufacturing EngineeringUniversity of Nottingham Malaysia CampusSemenyihMalaysia

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