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Constitutive Modeling of Beams Using Mechanics of Structure Genome

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Encyclopedia of Continuum Mechanics

Synonyms

Stiffness and strength of anisotropic heterogeneous slender structures

Definitions

A slender structure with one dimension much larger than the other two is defined as a beam. Since only external geometry matters, beams thus defined refer to not only regular structures with uniform, solid cross sections made of isotropic materials but also any other slender structures possibly made of composites with or without complex internal constructions. A beam can be considered as a one-dimensional (1D) continuum with kinetics, kinematics, and constitutive relations formulated using continuum mechanics. Constitutive modeling of beams is concerned with obtaining the constitutive relations for the 1D beam model. Mechanics of structure genome (MSG) is a unified approach for constitutive modeling of all types of composite structures including beams, plates, shells, and 3D solids.

Beam Modeling as Taught in Traditional Textbooks

Most beam theories taught in traditional textbooks and proposed...

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Author information

Authors and Affiliations

  1. School of Aeronautics and Astronautics, Purdue University, West Lafayette, IN, USA

    Wenbin Yu

Authors
  1. Wenbin Yu
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Corresponding author

Correspondence to Wenbin Yu .

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. Guggenheim School of Aerospace Engineering, Georgia Institute of Technology, 30332-0150, Atlanta, Georgia, USA

    Dewey Hodges

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Yu, W. (2018). Constitutive Modeling of Beams Using Mechanics of Structure Genome. In: Altenbach, H., Öchsner, A. (eds) Encyclopedia of Continuum Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-53605-6_55-1

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  • DOI: https://doi.org/10.1007/978-3-662-53605-6_55-1

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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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