SERBA: a B.I.E. program with linear elements for 2-D elastostatics analysis

Paris, Federico and Alarcón Álvarez, Enrique (1980). SERBA: a B.I.E. program with linear elements for 2-D elastostatics analysis. "Advances in Engineering Software", v. 2 (n. 2); pp. 79-87. ISSN 0141-1195.

Description

Title: SERBA: a B.I.E. program with linear elements for 2-D elastostatics analysis
Author/s:
  • Paris, Federico
  • Alarcón Álvarez, Enrique
Item Type: Article
Título de Revista/Publicación: Advances in Engineering Software
Date: April 1980
Volume: 2
Subjects:
Faculty: E.T.S.I. Industriales (UPM)
Department: Mecánica Estructural y Construcciones Industriales [hasta 2014]
Creative Commons Licenses: Recognition - No derivative works - Non commercial

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Abstract

The great developments that have occurred during the last few years in the finite element method and its applications has kept hidden other options for computation. The boundary integral element method now appears as a valid alternative and, in certain cases, has significant advantages. This method deals only with the boundary of the domain, while the F.E.M. analyses the whole domain. This has the following advantages: the dimensions of the problem to be studied are reduced by one, consequently simplifying the system of equations and preparation of input data. It is also possible to analyse infinite domains without discretization errors. These simplifications have the drawbacks of having to solve a full and non-symmetric matrix and some difficulties are incurred in the imposition of boundary conditions when complicated variations of the function over the boundary are assumed. In this paper a practical treatment of these problems, in particular boundary conditions imposition, has been carried out using the computer program shown below. Program SERBA solves general elastostatics problems in 2-dimensional continua using the boundary integral equation method. The boundary of the domain is discretized by line or elements over which the functions are assumed to vary linearly. Data (stresses and/or displacements) are introduced in the local co-ordinate system (element co-ordinates). Resulting stresses are obtained in local co-ordinates and displacements in a general system. The program has been written in Fortran ASCII and implemented on a 1108 Univac Computer. For 100 elements the core requirements are about 40 Kwords. Also available is a Fortran IV version (3 segments)implemented on a 21 MX Hewlett-Packard computer,using 15 Kwords.

More information

Item ID: 15571
DC Identifier: http://oa.upm.es/15571/
OAI Identifier: oai:oa.upm.es:15571
Official URL: http://www.sciencedirect.com/science/journal/09659978
Deposited by: Biblioteca ETSI Industriales
Deposited on: 01 Jun 2013 21:14
Last Modified: 21 Apr 2016 15:43
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