Boundary discretization using the edge-function method in three dimensional elasticity

P. M. Quinlan; J. J. Grannell; S. N. Atluri; J. E. Fitzgerald

doi:10.1016/0307-904X(79)90063-5

Boundary discretization using the edge-function method in three dimensional elasticity

P. M. Quinlan, J. J. Grannell, S. N. Atluri, J. E. Fitzgerald

Mechanical Engineering

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

Abstract

The edge function asymptotic boundary discretization method, which generates a partition of the boundary into a finite set of boundary elements, and its application to three-dimensional problems of linear isotropic elasticity are presented. The present solution representation, which is global, is constructed from asymptotic solutions of the Navier equations of elasticity. The unknown parameters are then determined by imposing the boundary conditions separately over each of the boundary elements. A numerical example is included and the results are discussed.

Original language	English
Pages (from-to)	18-24
Number of pages	7
Journal	Applied Mathematical Modelling
Volume	3
Issue number	1
DOIs	https://doi.org/10.1016/0307-904X(79)90063-5
State	Published - Feb 1979

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title = "Boundary discretization using the edge-function method in three dimensional elasticity",

abstract = "The edge function asymptotic boundary discretization method, which generates a partition of the boundary into a finite set of boundary elements, and its application to three-dimensional problems of linear isotropic elasticity are presented. The present solution representation, which is global, is constructed from asymptotic solutions of the Navier equations of elasticity. The unknown parameters are then determined by imposing the boundary conditions separately over each of the boundary elements. A numerical example is included and the results are discussed.",

author = "Quinlan, {P. M.} and Grannell, {J. J.} and Atluri, {S. N.} and Fitzgerald, {J. E.}",

note = "Funding Information: This work has been supportedb y the U.S. National Science Foundation, under grant NSF ENG 76-16418t o the Georgia Institute of Technology (G.I.T.). This support as well as the supplementals upport from G.I.T. are gratefully acknow-ledgedb y the authors.T he authors also thank MS Shirleye McCombs for her skilful typing of this manuscript.",

year = "1979",

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doi = "10.1016/0307-904X(79)90063-5",

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T1 - Boundary discretization using the edge-function method in three dimensional elasticity

AU - Quinlan, P. M.

AU - Grannell, J. J.

AU - Atluri, S. N.

AU - Fitzgerald, J. E.

N1 - Funding Information: This work has been supportedb y the U.S. National Science Foundation, under grant NSF ENG 76-16418t o the Georgia Institute of Technology (G.I.T.). This support as well as the supplementals upport from G.I.T. are gratefully acknow-ledgedb y the authors.T he authors also thank MS Shirleye McCombs for her skilful typing of this manuscript.

PY - 1979/2

Y1 - 1979/2

N2 - The edge function asymptotic boundary discretization method, which generates a partition of the boundary into a finite set of boundary elements, and its application to three-dimensional problems of linear isotropic elasticity are presented. The present solution representation, which is global, is constructed from asymptotic solutions of the Navier equations of elasticity. The unknown parameters are then determined by imposing the boundary conditions separately over each of the boundary elements. A numerical example is included and the results are discussed.

AB - The edge function asymptotic boundary discretization method, which generates a partition of the boundary into a finite set of boundary elements, and its application to three-dimensional problems of linear isotropic elasticity are presented. The present solution representation, which is global, is constructed from asymptotic solutions of the Navier equations of elasticity. The unknown parameters are then determined by imposing the boundary conditions separately over each of the boundary elements. A numerical example is included and the results are discussed.

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JO - Applied Mathematical Modelling

JF - Applied Mathematical Modelling

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Boundary discretization using the edge-function method in three dimensional elasticity

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