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- W1963519509 abstract "In this paper we discuss the nature of the quasitatic purely elastic limit to the dynamic viscoelastic solutions to a 2 degree-of-freedom (d.f.) frictional contact problem. In a significant situation for which a continuous equilibrium path cannot exist in the limit, we show that, when the mass and viscosity coefficients are decreased to zero in an appropriate manner, a connected graph is approached in the 3-dimensional space of the displacement components plus the time (load parameter) variable. This graph solution contains an instantaneous portion, a displacement discontinuity with respect to time, along which the total energy dissipated into some external sink is non-negative. These (possibly oscillatory and non-equilibrated) instantaneous paths and some of their qualitative features are discussed and compared with those resulting from quasistatic viscoelastic approximation procedures. For a particular class of graph solutions which may be approached by sequences of either dynamic or quasistatic viscoelastic solutions, we show that a near future evolution of the system does always exist and that direction of that evolution for the initiation or the continuation of an instantaneous path is uniquely defined." @default.
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- W1963519509 date "1995-10-01" @default.
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- W1963519509 title "Dissipative graph solutions for a 2 degree-of-freedom quasistatic frictional contact problem" @default.
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- W1963519509 doi "https://doi.org/10.1016/0020-7225(95)00039-z" @default.
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