The formulation and implementation of a procedure for enhancing finite element stress predictions is described. The efficiency of the process is demonstrated by application to test cases.
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References
1.
ShephardM. S.‘Finite element grid optimisation’, ASME, PVP 38, 1979.
2.
BarlowJ.‘Optimal stress locations in finite element models’. Int. J. numer. Meth. Engng, 1976, 10, 243–251.
3.
IronsB.‘Least squares surface fitting by finite elements, and applications to stress smoothing’, Rolls-Royce Ltd, Aero Stress Memorandum 1524, 1967, pp. 1–5.
4.
HintonE.Least squares analysis using finite elements, MSc thesis, University of Swansea, 1968.
5.
HintonE.CampbellJ. S.‘Local and global smoothing of discontinuous finite element functions using a least squares method’, Int. J. numer. Meth. Engng, 1974, 8, 461–480.
6.
HintonE.ScottF. C.RickettsR. E.‘Local least squares smoothing for parabolic isoparametric elements’, Int. J. numer. Meth. Engng, 1975, 9, 235–238.
7.
WardJ. L.Finite element analysisfor axisymmetric elastic stress problems, MPhil thesis, University of Surrey, 1975.
8.
HollawayL. C.Photoelastic and finite element studies of the elastic stresses in two-dimensional composites, PhD thesis, University of London, 1970.
9.
SohA. K.Stresses in composites with uni-directional reinforcement, PhD thesis, University of Surrey, 1980.
10.
AllisonI. M.SohA. K.‘On the determination of boundary stresses by the finite element method’, Strain, 1981, 55–59.
11.
FriedI.‘Accuracy of complex finite elements’, AIAA J., 1972, 10, 347–349.
12.
FriedI.‘Possible loss of accuracy in curved (isoparametric) finite elements’ – comment on a paper by Henshall, Walters and Warburton, J. Sound Vibration, 1972, 23, 507–510.
13.
HenshellR. D.WaltersD.WarburtonG. B.‘A new family of curvilinear elements for vibration and stability’, J. Sound Vibration, 1972, 20, 381–397.
14.
HenshellR. D.WaltersD.WarburtonG. B.‘On possible loss of accuracy in curved finite elements’, J. Sound Vibration, 1972, 23, 510–513.
15.
BondT. J.Some considerations of the finite element method in stress analysis, PhD thesis, Nottingham University, 1972.
16.
HenshellR. D.ShawK. G.‘Crack tip elements are unnecessary’, Int. J. numer. Meth. Engng, 1975, 9, 495–509.
17.
WoodP. C.Applications of the finite element method to problems in fracture mechanics, PhD thesis, University of Aston, 1979.
18.
ThomasK.‘Effects of geometric distortion on the accuracy of plane quadratic isoparametric finite elements’, Guidelines for finite element idealisation, meeting preprint 2504, ASCE, 1975, pp. 161–204.
19.
PAFEC 75, Data preparation manual, 1978 (PAFEC Ltd, Nottingham).
20.
ZienkiewiczO. C.The finite element method, 3rd edition, 1977 (McGraw-Hill, Maidenhead).
21.
ScheidF.Shaums outline of theory and problems of numerical analysis, 1968 (McGraw-Hill, New York) p. 237.
22.
FordH.Advanced mechanics of materials, 1972 (Longmans, London).
23.
KamoulakosA.DaviesG. A. O.HitchingsD.‘Benchmark tests for various finite element assemblies’, NAFEMS Agreement No. RD 127/040, Imperial College of Science and Technology, 1984.
24.
Engineering Science Data, ‘Elastic stress concentration factors. Geometric discontinuities in rods and tubes of isotropic materials’, Structures Sub-Series, Item 69021, Vol. 7, 1970.
25.
PetersonR. E.Stress concentration design factors, 1953 (John Wiley, New York).