Constitutive Laws of Viscoplasticity in Dynamic Response of Structures
T. WIERZBICKI, Impulsive loading of a spherical container with rigid-viscoplastic and strain rate sensitive material, Arch. Mech., 15, 775–790, 1963.
E.A. WITMER, H.A. BALMER, J.W. LEECH and T.H.H. PIAN, Large dynamic deformations of beams, rings, plates, and shells, AIAA J., 8, 1, 1848–1858, 1963.
W. SZCZEPIŃSKI, Plastic strain of spherical shell under dynamic loading by internal pressure, Arch. Mech., 16, 6, 1207–1214, 1964.
N. PERRON, On a simplified method for solving impulsively loaded structures of rate-sensitive materials, J. Appl. Mech., 32, 489–492, 1965.
R. SANKARANARAYANAN, Viscoplastic analysis of circular cylindrical shells, Proc. Nat. Inst. Sc. India, 1–2, 33, 1967.
T. WIERZBICKI, Impulsive loading of rigid viscoplastic plates, Int. J. Solids Struct., 3, 635–647, 1967.
K. WOŹNICA, Lois de comporternent du solide elasto-viscoplastique, Cahiers de Mécanique, 2/93, Univ. de Sciences et Techn. Lille, EUDIL-LML, 1993.
P. PERZYNA, Fundamental problems of viscoplasticity, Advances in Mech., 9, 243–377, 1966.
T. WIERZBICKI and A.L. FLORENCE, A theoretical and experimental investigation of impulsively loaded clamped circular viscoplastic plates, Int. J. Solids Struct., 13, 865–876, 1977.
S.R. BODNER and P.S. SYMONDS, Experiments on viscoplastic response of circular plates to impulsive loading, J. Mech. Phys. Solids, 27, 91–113, 1979.
J. LEMAITRE and J.-L. CHABOCHE, Mechanics of solid materials, Cambridge University Press, Cambridge 1990.
S.R. BODNER and Y. PARTOM, Constitutive equations for elasto-viscoplastic strain-hardening materials, ASME J. Appl. Mech., 42, 3, 385–389, 1975.
J. EFTIS, M.S. ABDEL KADER and D.L. JONES, Comparisons between the modified Chaboche and Bodner–Partom viscoplastic constitutive theories at high temperature, Int. J. Plasticity, 6, 1–27, 1989.
J. OLSCHEWSKI, R. SIEVERT and A. BERTRAM, A comparison of the predictive capabilities of two unified constitutive models at elevated temperatures, [in:] Constitutive Laws for Engineering Materials, pp. 755–758, C.S.DESSAI et al. [Eds.], ASME Press, New York 1991.
J. OLSCHEWSKI, R. SIEVERT and A. BERTRAM, Comparative viscoplastic FE-calculations of a notched specimen under cyclic loadings, Proc. of Plasticity'91, pp. 397–400, BOEHLER and KHAN [Eds.], Elsevier 1991.
J. ARGYRIS, H. BALMER and I. ST. DOLTSINIS, On shell models for impact analysis, The Winter Annual Meeting of the American Society of Mechanical Engineers, 3, 443–456, Dec. 1989.
P. KŁOSOWSKI, K. WOŹNICA and D. WEICHERT, Dynamics of the elasto-viscoplastic shells, Arch. Appl. Mech. (Ing. Archiv), 65, 326–345, 1994.
P. KŁOSOWSKI, K. WOŹNICA and D. WEICHERT, A comparative study of vibrations of viscoplastic shells and plates, Engng. Trans., 43, 1–2, 183–204, 1995.
R. SCHMIDT and J.N. REDDY, A refined small strain and moderate rotation theory of elastic anisotropic shells, ASME J. Appl. Mech., 55, 611–617, 1988.
P. KŁOSOWSKI and R. SCHMIDT, Geometrically non-linear transient analysis of laminated composite plates and shells, ZAMM, 73, 7/8, T903–T906, 1993.
P. KŁOSOWSKI, Statics and dynamics of cable-membrane hanging roofs in materially and geometrically non-linear approach [in Polish], PhD Thesis, Technical University of Gdańsk, 1984.
A. BEN-CHEICK, Elastoviscoplasticite a temperature variable, PhD Thesis, University Paris 6, 1987.
W.E. BAKER, P.A. COX, P.P. WESTINE, J.J. KULESZ and R.A. STREHLOW, Explosion hazards and evaluation, Fundamental Studies in Engineering, 5, Elsevier, 1983.
J. RENARD and O. PENNETIER, Non-linear dynamic response of plates submitted to explosion – Numerical and experimental study, Proc. European Conf. Struc. Dynamics, G. AUGUSTI et al. [Eds.], Eurodyn'96, A.A. Balkema, Firenze (Italy) – Rotterdam, 2, 689–694, 1996.
T.M. MILLY and D.H. ALLEN, A comparative study of non-linear rate-dependent mechanical constitutive theories for crystalline solids at elevated temperatures, Rep. API-E5-82, Virginia Polytechnic Inst. and State University, Blacksburg, Virginia 1982.
A. SPERLING and Y. PARTOM, Numerical analysis of large elastic-plastic deformation of beam due to dynamic loading, Int. J. Solids Struct., 12, 865–876, 1977.
F.A. KOLKAILAH and A.J. MCPHATE, Numerical representation of Bodner viscoplastic constitutive model, ASCE, J. Engng. Mech., 115, 2, 223–230, 1989.