Encyclopedia of Continuum Mechanics

Living Edition
| Editors: Holm Altenbach, Andreas Öchsner

Constitutive Modeling of Beams Using Mechanics of Structure Genome

  • Wenbin YuEmail author
Living reference work entry
DOI: https://doi.org/10.1007/978-3-662-53605-6_55-1



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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Copyright information

© Springer-Verlag GmbH Germany 2018

Authors and Affiliations

  1. 1.School of Aeronautics and AstronauticsPurdue UniversityWest LafayetteUSA

Section editors and affiliations

  • Dewey Hodges
    • 1
  1. 1.Guggenheim School of Aerospace EngineeringGeorgia Institute of TechnologyAtlantaUSA