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Numerical stability in quasi-static elasto/visco-plasticity. (English) Zbl 0293.73022


MSC:

74C99 Plastic materials, materials of stress-rate and internal-variable type
74K99 Thin bodies, structures
65F15 Numerical computation of eigenvalues and eigenvectors of matrices
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[1] and , ’Visco-plasticity and plasticity-An alternative for finite element solution of material nonlinearities’, Colloque Méth. Calcul Scie. Tech., 171-199 IRIA, Paris (1973).
[2] Zienkiewicz, Int. J. num. Meth. Engng. 8 pp 821– (1974)
[3] Computational Methods in Ordinary Differential Equations, Wiley, London, 1973.
[4] Numerical Initial Value Problems in Ordinary Differential Equations, Prentice-Hall, Englewood Cliffs, N.J. 1971.
[5] Amir-Moez, Duke Math. J. 23 pp 463– (1956)
[6] The Algebraic Eigenvalue Problem, Clarendon Press, Oxford, 1965. · Zbl 0258.65037
[7] Perzyna, Advances Appl. Mech. 9 pp 243– (1966)
[8] Phillips, Int. J. Solids Struct. 9 pp 16– (1973) · Zbl 0272.73026
[9] and , ’A bound theorem in eigenvalues and its practical applications’, 3rd Conf. Matrix Meth. Struct. Mech., Wright-Patterson A.F.B., Ohio (1971).
[10] Nayak, Int. J. num. Meth. Engng 5 pp 113– (1972)
[11] and , ’Variable time step analysis of unconfined seepage’, Symp. Finite Element Meth. Flow Problems, Swansea (1974). (Ed. , and ) Univ. of Alabama Press, Huntsville, pp. 573-579.
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