The paper introduces the concept of certifying or qualifying structures in a safety critical situation using the finite element method. Error control and error treatment methods for this purpose are discussed together with the associated role of testing. The underlying methodology follows the principles laid down in the SAFESA (SAFE Structural Analysis) method which is described in outline.
MorrisA. J.An approach to the validation of finite element codes. Internal Report, College of Aeronautics, Cranfield Institute of Technology, UK.
2.
BeizerB.Software testing techniques, 1990 (Van Nostrand Reinhold Publishers, New York).
3.
SchneidewindN. E.HoffmannH. M.An experiment in software data collection and analysis. IEEE Trans. Software Engng, May 1979, SE-5 (3), pp 276–286.
4.
EndresA.An analysis of errors and their causes in system programs. IEEE Trans. Software Engng, June 1975, SE-1(2), pp 140–149.
5.
NakajoT.KumeH.A case history analysis of software error cause effect relationships. IEEE Trans. Software Engng, August 1991, 17(8) pp. 830–838.
6.
ShepherdM. S.BaehmannP. L.GeorgesM. K.KorngoldE. V.Framework for the reliable generation and control of analysis idealizations, Comput. Methods Appl. Mech. Engng, 1990, 82, pp. 257–280.
7.
ShepherdM. S.KorngoldE. V.CollarR. R.BaechmanP. L.A modelling framework for controlling structural idealizations in engineering design. Comput. & Structures, 1990, 37, pp. 181–191.
8.
ESTEC.Error localisation and updating of spacecraft structures mathematical models. Final Reports, ESTEC Contracts 7511/87 and 7512/87, 1988.
9.
LinkM.FloresO.Updating and localizing structural errors based on minimization of equation errors. Proceedings of the International Conference on Spacecraft structures and mechanical testing, ESA/ESTEC 1991.
10.
CraigA. W.ZhuJ. A.ZienkiewiczO. C.A posteriori error estimation method using hierarchical finite element bases. Inst. Numer. Methods. Engng, C/R/483/84.
11.
OdenJ. T.DemkowiczL.RachowiczW.WestermannT. A.Toward a universal h-p adaptive finite element strategy, Part II: a posteriori error estimation. Comput. Methods Appl. Mech. Engng, 1989, 77, 113–180.