ON THE OPTIMALITY OF DISKS OF UNIFORM CREEP STRENGTH AGAINST BRITTLE RUPTURE

REFERENCES

• Boyle , J. T. and Spence , J. ( 1973 ) Stress analysis for creep . Butterworths , London .
   Google Scholar
• Bialkiewicz , J. ( 1986 ) Dynamic creep rupture of a rotating disk of variable thickness . Int. J. Mech. Sci . 28 , ( 10 ), 671 – 681 .
   Web of Science ®Google Scholar
• Gajewski , A. ( 1975 ) Optymalne ksztaftowanie wytrzymatosciowe w przypadku materiatdw o nieliniowosci fizycznej . Politechnika Krakowska zeszyt naukowy nr 5 , Krakow .
   Google Scholar
• Gallagher , R. H. ( 1973 ) Fully stressed design. In Optimum Structural Design , R. H, Gallagher and O. C. Zienkiewicz (Eds) , John Wiley , New York , 19 – 23 .
   Google Scholar
• Ganczarski , A. ( 1992 ) Optimal axially-symmetric plates subject to brittle creep rupture . ZAMM , 72 , ( 6 ), T 543 – 546 .
   Google Scholar
• Ganczarski , A. and Skrzypek , J. ( 1989 ) Optymalne sprézenie oraz ksztŕtowanie tarcz wirujácych ze wzgledu na Vruche zniszczeniew warunkach nieustalonego petzania . Roz. Inź , 37 , ( 4 ), 627 – 649 .
   Google Scholar
• Ganczarski , A. and Skrzypek , J. ( 1992 ) Optimal shape of prestressed disks againts brittle rupture under unsteady creep conditions . Struct. Optim ., 4 , 47 – 54 ,
   Google Scholar
• Ganczarski , A. and Skrzypek , J. ( 1991 ) On optimal design of disks with respect to creep rupture . In IUTAM Symp. Creep in Structures IV , Cracow 1990, M. Zyczkowski (Ed.) , Springer , 571 – 577 .
   Google Scholar
• Kachanov , L. M. ( 1986 ) Introduction to continuum damage mechanics . Martinus Nijhof Publ ., Dortrecht .
   Google Scholar
• Kopecki , H. and Walczak , J. ( 1976 ) The energy dissipation barrier as a criterion of creep failure of rotating disks . Arch. Bud. Masz ., 23 , ( 4 ), 455 – 460 .
   Google Scholar
• Kostyuk , A. G. ( 1953 ) Calculation of profile of a rotating disk under creep conditions . Prikl. Mat. Mekh ., 17 , ( 5 ), 615 – 618 , ( in Russian ).
   Google Scholar
• Liszka , T. and Zyczkowski , M. ( 1976 ) Optymalne ksztahowanie nierównomiernie nagrzanych tarcz wirujácych z uwagi na nośność spréźystá i graniczná . Mechaniko Teorelyczna i Stosowana 2 , 14 .
   Google Scholar
• Nemirovsky , Yu. V. ( 1968 ) Optimal design of creeping structures . In III Vsesoyuz. Syezd. po Teor. Prikl, Mekh ., Moscow .
   Google Scholar
• Penny , R. K. and Marriott , D. L. ( 1971 ) Design for creep , McGraw-Hill , Maidenhead .
   Google Scholar
• Prager , W. ( 1968 ) Optimal structural design for given stiffness in stationary creep . Z. Angew. Moth. Phys ., 19 , ( 2 ), 252 – 256 , ( in Russian ).
   Web of Science ®Google Scholar
• Reitman , M. I. ( 1967 ) On the theory of optimal design of structures made of plastic with the time factor taken into account . Mekh. Polimerov , 1967 , ( 2 ), 357 – 360 , ( in Russian ).
   Google Scholar
• Rysz , M. ( 1987 ) Optimal design of a thick-walled pipeline cross-section against creep rupture . Acta Mechanica , 66 , 83 – 102 .
   Google Scholar
• Rysz , M. and Zyczkowski , M. ( 1988 ) Optimal design of a thin-walled cross-section subject to bending with torsion against creep rupture , Int. J. Mech. Sci ., 30 , ( 2 ), 127 – 136 .
   Web of Science ®Google Scholar
• Sdobyrev , V. P. ( 1958 ) The long-term strength of E1437B alloy under complex stress . Izv. Akad. Nauk SSSR, Otdel. Tekhn. Nauk ., 4 , 92 – 97 . ( in Russian ).
   Google Scholar
• Szuwalski , K. ( 1991 ) Optymalne ksztahowanie elementów konstrukcji z uwagi na czas zniszczenia ciagliwego w warunkach petzania . Zeszyty Nauk. Polit. Krak. Monogr ., 114 , Krakow .
   Google Scholar
• Szuwalski , K. ( 1989 ) Optimal design of bars under nonuniform tension with respect to ductile creep rupture . Mech. Struct, and Mach ,, 3 , ( 17 ), 303 – 319 .
   Google Scholar
• Szuwalski , K. ( 1991 ) Bars of uniform strength vs optimal with respect to ductile creep rupture time. In Creep in Structures IV , IUTAM Symp., 1990 , M. Zyczkowski (Ed.) , Springer , 637 – 643 .
   Google Scholar
• Świsterski , W. , Wráoblewski , A. and Zyczkowski , M. ( 1983 ) Geometrically nonlinear eccentrically compressed columns of uniform creep strength vs optimal columns . Int. J. Non-linear Mech ., 18 , ( 4 ), 287 – 296 .
   Google Scholar
• Wr´oblewski , A. ( 1989 ) Problem optymalności mimośrodowo śiciskanego stupa w warunkach petzania . Rozpr. Int ., 37 , ( 2 ), 269 – 281 , ( English translation ).
   Google Scholar
• Źyczkowski , M. and Rysz , M. ( 1986 ) Optimization of cylindrical shells under combined loading against brittle creep rupture . In Proc. IUTAM Symp. Inelastic Behaviour of Plates and Shells , Rio de Janeiro 1985 , Springer , 385 – 401 .
   Google Scholar
• Źyczkowski , M. and Skrzypek , J. ( 1972 ) Stationary creep and creep rupture of a thick-walled tube under combined loadings. In IUTAM Symp . Creep in Structures , Gothenburg 1970 , Springer , Ed. J. Hull , 315 – 324 .
   Google Scholar
• Źyczkowski , M. and Swisterski , W. ( 1980 ) Optimal structural design of flexible beams with respect to creep rupture time . In IUTAM Symp. Structural Control , Waterloo 1979 , North Holland , 795 – 810 .
   Google Scholar
• Źyczkowski , M. ( 1968 ) Optimal structural design in rheology . 12th Int. Congr. Theor. Appl. Mech ., Stanford 1968. J. Appl. Mech ., 1 . ( 38 ), 39 – 46
   Google Scholar
• Źyczkowski , M. ( 1988 ) Optimal structural design under creep conditions . Appl. Mech. Reviews , 41 , ( 12 ), 453 – 461 .
   Google Scholar
• Źyczkowski , M. ( 1991 ) Problems of structural optimization under creep condition . In IUTAM Symp. Creep in structures IV , 1990, M. Źyczkowski (Ed.) , Springer , 519 – 530 .
   Google Scholar