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Variable-Kinematics, Meshless Analysis of Composite Beams

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Encyclopedia of Continuum Mechanics

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Synonyms

Carrera unified formulation (CUF); Dynamic stiffness method (DSM); Finite element method (FEM); Radial basis functions (RBFs)

Definitions

Owing to the rapid developments in computer technology in recent years, tremendous progress has been made in computational methods as applied in engineering. Among the approximate, numerical methods in computational solid mechanics, the finite element method (FEM) has been probably the most popular. Although FEM is versatile and applicable to arbitrary geometries, boundary conditions, and material variations, it can be sometimes very expensive from a computational standpoint and can be affected by numerical inaccuracies and inconsistencies, such as convergence or locking phenomena. There are other limitations of FEM as well. For example, it may fail in determining accurate stress distributions as discontinuities or singularities occur, such as interlaminar stresses and free-edge effects in laminated composites. Furthermore, the conventional...

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Authors and Affiliations

  1. MUL2 Group, Department of Mechanical and Aerospace Engineering, Politecnico di Torino, Torino, Italy

    Alfonso Pagani & Erasmo Carrera

Authors
  1. Alfonso Pagani
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  2. Erasmo Carrera
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Corresponding author

Correspondence to Erasmo Carrera .

Editor information

Editors and Affiliations

  1. Institut für Mechanik, Otto-von-Guericke-Universität Institut für Mechanik, Magdeburg, Germany

    Holm Altenbach

  2. Griffith University (Gold Coast Campus), Griffith School of Engineering Griffith University (Gold Coast Campus), Southport, Queensland, Australia

    Andreas Öchsner

Section Editor information

  1. MUL2 Group, Department of Mechanical and Aerospace Engineering, Politecnico di Torino, Torino, Italy

    Erasmo Carrera

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Pagani, A., Carrera, E. (2018). Variable-Kinematics, Meshless Analysis of Composite Beams. In: Altenbach, H., Öchsner, A. (eds) Encyclopedia of Continuum Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-53605-6_142-1

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  • DOI: https://doi.org/10.1007/978-3-662-53605-6_142-1

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-662-53605-6

  • Online ISBN: 978-3-662-53605-6

  • eBook Packages: Springer Reference EngineeringReference Module Computer Science and Engineering

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