A displacement potential function using complex variables for numerical computations of three-dimensional elasticity problems
| Autor: | Jose A. Ortega Herrera, Jesús Mares Carreño, Griselda Stephany Abarca Jiménez |
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| Rok vydání: | 2021 |
| Předmět: |
Mechanical Engineering
Linear elasticity 02 engineering and technology Function (mathematics) 01 natural sciences Displacement (vector) Finite element method Domain (mathematical analysis) 020303 mechanical engineering & transports 0203 mechanical engineering 0103 physical sciences Applied mathematics Boundary value problem Elasticity (economics) Galerkin method 010301 acoustics Mathematics |
| Zdroj: | Archive of Applied Mechanics. 91:2331-2344 |
| ISSN: | 1432-0681 0939-1533 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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