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A strategy for the solution of problems involving large deflections, plasticity and creep. (English) Zbl 0354.73035


MSC:

74C99 Plastic materials, materials of stress-rate and internal-variable type
74B20 Nonlinear elasticity
74K99 Thin bodies, structures

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[1] and , ’Numerical methods for the solution of nonlinear problems in structural analysis’, in Numerical Solution of Nonlinear Structural Problems, (ed. ), AMD Vol. 6, ASME, New York, 1973, pp. 67-101.
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[3] ’Thermal stress and creep’, in Structural Mechanics Computer Programs, (Ed. and ), University Press of Virginia, Charlottesville, 1974, pp. 103-122.
[4] and , ’A comparison of the capability of four hardening rules to predict a materials plastic behaviour’, 2nd Nat. Cong. Pressure Vessels and Piping, ASME Paper 75-PVP-43 (1975).
[5] ’Large deflection elastic-plastic creep analysis of axisymmetric shells’, Numerical Solution of Nonlinear Structural Problems. (Ed. ), AMD Vol. 6, ASME, 1973, pp. 103-138.
[6] Bushnell, Computers & Structures (1976)
[7] ’Numerical analysis of elastoplastic stresses’, Memorandum Report No. 2006, Ballistic Research Laboratories, Aberdeen Proving Ground, Maryland (1969).
[8] Nayak, Int. J. num. Meth. Engng 5 pp 113– (1972)
[9] and , ’Formulation, computation, and solution procedures for material and/or geometric nonlinear structural analysis by the finite element method’, SC-CR-72 3102, Sandia Laboratories, Albuquerque, New Mexico (1972).
[10] , and , ’Currently recommended constitutive equations for inelastic design analysis of FFTF components’, (ORNL-TM-3602), Oak Ridge National Laboratory (1971).
[11] Rabotnov, Vestnik Moskovskovo University 10 pp 81– (1953)
[12] ’Part I, Theory report for CREEP-PLAST computer program: Analysis of two-dimensional problems under simultaneous creep and plasticity’, GEAP-10546, AEC R & D Report (1972) ’Part II: User’s manual for CREEP-PLAST computer program’, GEAP-13262-1, AEC R & D Report(1972).
[13] and , ’Short-time creep response of 6
[14] Sharifi, AIAA J. 12 pp 1210– (1974)
[15] Zienkiewicz, Int. J. num. Meth. Engng 8 pp 821– (1974)
[16] ’Transient creep of materials’, Joint Int. Conf. on Creep, Inst. Mech. Engrs, London, 123-128 (1963).
[17] ’Finite-element analysis with material nonlinearities–theory and practice’, in Recent Advances in matrix Methods of Structural Analysis and Design, University of Albama Press, 1971, pp. 257-282.
[18] , and , ’Nonlinear behaviour of shells of revolution under cyclic loading’, Grumman Research Department Report RE-426J (1972), Grumman Aerospace Corporation, Bethpage, New York. Also Nat. Symp. on Computerized Structural Analysis and Design, Washington, D.C. (1972).
[19] Formulas for stress and strain, 3rd ed., Chap. 10, Art. 55, Case #2, 194, McGraw-Hill, New York, 1954.
[20] Chu, J. Materials 5 pp 633– (1970)
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