Computer Analysis of Damage Development in Rectangular Plates
A numerical analysis of the time-dependent rupture of a plate of moderate thickness is presented. The solutions focus on the time and localisation of appearance of the first macroscopic cracks as well as on the mode of rupture front propagation to the instant of failure. The damage development is coupled with the variation of the plate thickness.
J. BIAŁKIEWICZ, Dynamic creep rupture of a rotating disk of variable thickness, Int. J. Mech. Sci., 28, 671-681, 1986.
J. BIAŁKIEWICZ and A. OLEKSY, Tensorial damage analysis of viscoelastic plates, J. Theor. Appl. Mech., 30, 783-798, 1992.
J.L. CHABOCHE, On the description of damage included anisotropy and active/passive damage effect, [in:] Damage Mechanics in Engineering Materials, J.W. JU, D. KRAJCINOVIC and H.I. SCHREYER [Eds.], AMD 109, MD 24, ASME, New York 1990.
B.F. DYSON and D. MCLEAN, Creep of nimonic 8OA in torsion and tension, Met. Sci., 11, 37-45, 1977.
P.G. GLOCKNER and W. SZYSZKOWSKI, An engineering multiaxial constitutive model for nonlinear time-dependent materials, Int. J. Solids Struct., 26, 73-82, 1990.
D.R. HAYHURST, Creep rupture under multi-axial state of stress, J. Mech. Phys. Solids, 20, 381-390, 1972:.
D.R. HAYHURST, Stress redistribution and rupture due to creep in a uniformly stretched thin plate containing a circular hole, Trans. A.S.M.E., J. Appl. Mech., 40, 244-250, 1973.
E. HINTON, Numerical methods and software for dynamic analysis of plates and shells, Pineridge Press Limited, Swansea, UK 1988.
J. HULT, Stiffness and strength of damaged materials, ZAMM, 68, T31-T39, 1988.
L.M. KACHANOV, On time-to-rupture in creep conditions [in Russian], Izv. AN SSSR, OTN, 26-31, 1958.
D. KRAJCINOVIC, Continuum damage mechanics, Appl. Mech. Rev., 37, 1-6, 1984.
D. KRAJCINOVIC, Constitutive theories for solid with defective microstructure, [in:] Damage Mechanics and Continuum Modelling, N. STUBBES and D. KRAJCINOVIC [Eds.], ASCE, 39-56, 1985.
D. KRAJCINOVIC, Damage mechanics, Mech. Mat., 8, 117-197, 1989.
F.A. LECKIE and D.R. HAYHURST, Creep rupture of structures, Proc. R. Soc. Lond., A.340, 323-347, 1974.
J. LEMAITRE, How to use damage mechanics, Nucl. Engng. Design, 80, 233-245, 1984.
J. LEMAITRE and J. CHABOCHE, Mécanique des matériaux solides, Dunod, Paris 1985.
A. LITEWKA, Effective material constants for orthotropically damaged elastic solid, Arch. Mech., 37, 631-642, 1985.
A. LITEWKA, On stiffness and strength reduction of solids due to crack development, Engng. Fract. Mech., 25, 637-643, 1986.
A. LITEWKA, Creep rupture of metals under multi-axial states of stress, Arch. Mech., 41, 3-23, 1989.
A. LITEWKA and J. HULT, One parameter CDM model gor creep rupture prediction, Eur. J. Mech., A/Solids, 8, 185-200, 1989.
S. MURAKAMI and N. OHNO, A continuum theory of creep and creep damage, [in:] Creep in Structures, A.R.S. P0NTER and D.R. HAYHURST [Eds.], Springer, Berlin, 422-444, 1981.
S. MURAKAMI and Y. SANOMURA, Creep and creep damage of copper under multiaxial state of stress, [in:] Plasticity Today, A. SAWCZUK and G. BIANCHI [Eds.], Elsevier Appl. Sci., 535-551, 1985.
YU.N. RABOTNOV, Creep rupture, [in:] Proc. XII-th Int. Congr. Appl. Mech., M. HETENYI and W.G. VINCENTINI [Eds.], Stanford, Springer, Berlin, 342-349, 1969.
A.A. VAKULENKO and M.L. KACHANOV, Continuum theory of medium with cracks [in Russian], lzv. A.N. SSSR, MTT, 159-166, 1971.
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