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Archive of Applied Mechanics
Erschienen in: Archive of Applied Mechanics 5/2021

21.01.2021 | Original

A displacement potential function using complex variables for numerical computations of three-dimensional elasticity problems

verfasst von: Jesús Mares Carreño, José Ángel Lodegario Ortega Herrera, Griselda Stephany Abarca Jiménez

Erschienen in: Archive of Applied Mechanics | Ausgabe 5/2021

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Abstract

This paper shows the development of a displacement potential function based on the Galerkin potential using complex variables. The displacement potential function results in a more suitable method for numerical calculations since it avoids the strenuous integration process associated with stress potential methods. Completeness of the displacement potential function is demonstrated. The displacement potential function was applied to the solution of the first fundamental problem of elasticity over a three-dimensional domain with known boundary conditions. It’s application for numerical calculations is demonstrated by solving the pure shear problem over a three-dimensional unit hexahedral cell. Finally, the obtained numerical results are compared against finite element results, proving the validity of the displacement potential function in solving three-dimensional linear elasticity problems.
Vorheriger Artikel Nonlinear vibration and stability of functionally graded porous microbeam under electrostatic actuation
Nächster Artikel Stress-limited topology optimization with local volume constraint using moving morphable components

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Metadaten
Titel
A displacement potential function using complex variables for numerical computations of three-dimensional elasticity problems
verfasst von
Jesús Mares Carreño
José Ángel Lodegario Ortega Herrera
Griselda Stephany Abarca Jiménez
Publikationsdatum
21.01.2021
Verlag
Springer Berlin Heidelberg
Erschienen in
Archive of Applied Mechanics / Ausgabe 5/2021
Print ISSN: 0939-1533
Elektronische ISSN: 1432-0681
DOI
https://doi.org/10.1007/s00419-021-01885-6

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