References
R. Fletcher, Practical Methods of Optimization, John Wiley, New York (1981).
E.J. Haug and J.S. Arora, Applied Optimal Design, John Wiley, New York (1979).
B.M. Kwak and S.S. Lee, Computers and Structures 28 (1988) 469–480.
A. Klarbring and G. Bjorkman, Computers and Structures 30 (1988) 1185–1198.
A. Gakawaya, D. Lambert and A. Cardou, Computers and Structures 42 (1992) 341–353.
B. Fredriksson, Computers and Structures 6 (1976) 281–290.
G. Yagawa and H. Hirayama, International Journal for Numerical Methods in Engineering 20 (1984) 2175–2195.
R. Ballarini and M.E. Plesha, International Journal of Fracture 34 (1987) 195–207.
M.C. Dubourg and B. Villechaise, European Journal of Mechanics, A/Solids 8 (1989) 309–319.
P.C. Bastias, G.T. Hahn and C.A. Rubin, Engineering Fracture Mechanics 33 (1989) 143–152.
W.L. Zang and P. Gudmundson, International Journal for Numerical Methods in Engineering 29 (1990) 847–860.
W.L. Zang and P. Gudmundson, International Journal for Numerical Methods in Engineering 31 (1991) 427–446.
P.S. Theocaris and P.D. Panagiotopoulos, Acta Mechanica 87 (1991) 135–152.
V.G. Belsky, Soviet Mathematics Doklady 44 (1992) 1234–126.
C. Scavia, International Journal for Numerical Methods in Engineering 33 (1992) 929–942.
S.B. Liu and C.L. Tan, Engineering Fracture Mechanics 42 (1992) 273–288.
J.J. Kalker, ASME Journal of Applied Mechanics 38 (1971) 875–887.
P.D. Panagiotopoulos, Ingenieur-Archiv 44 (1975) 421–432.
E.I. Grigoluk, M.G. Gringauz and L.A. Fil'shtinskii, Soviet Physics Doklady 26 (1981) 1098–1099.
E.I. Grigoluk, M.G. Gringauz and L.A. Fil'shtinskii, Soviet Physics Doklady 29 (1984) 342–344.
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Gringauz, M. On mathematical programming formulation for contact crack problems. Int J Fract 60, R3–R7 (1993). https://doi.org/10.1007/BF00034516
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DOI: https://doi.org/10.1007/BF00034516