[1] |
Argyris, J. H.; Buck, K. E.; Fried, I.; Mareczek, G.; Scharpf, D. W., Some new elements for matrix displacement methods, (Proc. 2nd Conf. Matrix Methods in Structural Mechanics (1968), Air Force Inst. Tech., Wright Patterson Air Force Base: Air Force Inst. Tech., Wright Patterson Air Force Base OH) |
[2] |
Argyris, J. H.; Fried, I., The LUMINA element for the matrix displacement method, Aero, J., 72, 514-517 (1968) |
[3] |
Taylor, R. L., On completeness of shape functions for finite element analysis, Internal. J. Numer. Meths. Engrg., 4, 17-22 (1970) · Zbl 0255.73095 |
[4] |
Zienkiewicz, O. C., The Finite Element Method (1977), McGraw-Hill: McGraw-Hill London · Zbl 0435.73072 |
[5] |
Ball, A. A., The interpolation function of a general Serendipity rectangular element, Internal. J. Numer. Meths. Engrg., 15, 773-778 (1980) · Zbl 0426.73070 |
[6] |
Okabe, M.; Yamada, Y.; Nishiguchi, I., Reconsideration of rectangular Lagrange families with hierarchyranking bases, Comput. Meths. Appl. Mech. Engrg., 23, 369-390 (1980) · Zbl 0442.73071 |
[7] |
Argyris, J. H., Triangular elements with linearly varying strain for the matrix displacement method, J. Roy. Aero. Soc., 69, 711-713 (1965) |
[8] |
de Veubeke, B. F., Displacement and equilibrium models in the finite element method, (Zienkiewicz, O. C.; Holister, G. S., Stress Analysis (1965), Wiley: Wiley New York), Ch. 9. · Zbl 0327.73038 |
[9] |
Argyris, J. H.; Fried, I.; Scharpf, D. W., The TET20 and TEA8 elements for the matrix displacement method, Aero. J., 72, 618-625 (1968) |
[10] |
Silvester, P., Higher order polynomial triangular finite elements for potential problems, Internat. J. Numer. Meths. Engrg., 7, 849-861 (1969) · Zbl 0185.42201 |
[11] |
Ciarlet, P. G.; Raviert, P. A., General Lagrange and Hermite interpolation in R\(^n\) with applications to finite element methods, Arch. Rational Mech. Anal., 46, 177-199 (1972) · Zbl 0243.41004 |
[12] |
Okabe, M.; Kikuchi, N., Some general Lagrange interpolations over simplex finite elements with reference to derivative singularities, Comput. Meths. Appl. Mech. Engrg., 28, 1-25 (1981) · Zbl 0466.73088 |
[13] |
Blackburn, W. S., Calculation of stress intensity factors, (Whiteman, J. R., The Mathematics of Finite Elements and Applications (1973), Academic Press: Academic Press London), 327-336 · Zbl 0278.73048 |
[14] |
Akin, J. E., The generation of elements with singularities, Internal. J. Numer. Meths. Engrg., 10, 1249-1259 (1976) · Zbl 0341.65078 |
[15] |
Tracey, D. M.; Cook, T. S., Analysis of power type singularities using finite elements, Internal. J. Numer. Meths. Engrg., 11, 1225-1233 (1977) · Zbl 0364.65090 |
[16] |
Stern, M., Families of consistent conforming elements with singular derivative fields, Internal. J. Numer. Meths. Engrg., 14, 409-421 (1979) · Zbl 0408.73071 |
[17] |
Henshell, P. D.; Shaw, K. G., Crack tip finite elements are unnecessary, Internat. J. Numer. Meths. Engrg., 9, 495-507 (1975) · Zbl 0306.73064 |
[18] |
Barsoum, R. S., On the use of isoparametric finite elements in linear fracture mechanics, Internat. J. Numer. Meths. Engrg., 10, 25-37 (1976) · Zbl 0321.73067 |
[19] |
Peano, A.; Pasini, A.; Riccioni, R.; Sardella, L., Adaptive approximations in finite element structural analysis, Computers and Structures, 10, 333-342 (1979) · Zbl 0394.73002 |
[20] |
Yamada, Y.; Ezawa, Y.; Nishiguchi, I.; Okabe, M., Reconsiderations on singularity or crack tip elements, Internal. J. Numer. Meths. Engrg., 14, 1525-1544 (1979) · Zbl 0411.73066 |
[21] |
Okabe, M., Fundamental theory of the semi-radial singularity mapping with applications to fracture mechanics, Comput. Meths. Appl. Mech. Engrg., 26, 53-73 (1981) · Zbl 0463.73091 |
[22] |
Yamamoto, Y.; Sumi, Y., Stress intensity factor for three-dimensional cracks, (Proc. 14th Internat. Congress Theor. Appl. Mech.. Proc. 14th Internat. Congress Theor. Appl. Mech., Delft (1976)) · Zbl 0374.73067 |
[23] |
Yagawa, G.; Nishioka, T., Three-dimensional finite element analysis for through-wall crack in thick plate, Internat. J. Numer. Meths. Engrg., 12, 1295-1310 (1978) · Zbl 0377.73082 |
[24] |
Akin, J. E., Elements for problems with line singularities, (Whiteman, J. R., The Mathematics of Finite Elements and Applications, Vol. III (1978), Academic Press: Academic Press London), 65-75 · Zbl 0443.73051 |
[25] |
Hughes, T. J.R.; Akin, J. E., Techniques for developing ‘special’ finite element shape functions with particular reference to singularities, Internat. J. Numer. Meths. Engrg., 15, 733-751 (1980) · Zbl 0428.73074 |
[26] |
Ingraffea, A. R.; Manu, C., Stress-intensity factor computation in three dimensions with quarter-point elements, Internat. J. Numer. Meths. Engrg., 15, 1427-1445 (1980) · Zbl 0438.73071 |