By Chen C.-T.

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Antipov YA, Movchan AB, Movchan NV (2000) Frictional contact of fibre and an elastic solid, Journal of Mechanics and Physics of Solids 48, 1413–1439. 12. Lenci S, Menditto G (2000) Weak interface in long fiber composites, International Journal of Solids and Structures 37, 4239–4260. 13. Geymonat G, Krasucki F, Lenci S (1999) Mathematical analysis of a bonded joint with a soft thin adhesive, Mathematics and Mechanics of Solids 4, 201–225. 14. Alexandrov VM, Mkhitaryan SM (1983) Contact Problems for Bodies with Thin Coatings and Inclusions, Nauka, Moscow.

Bernardini, G. Rega The purpose of this paper is to calibrate and validate the method of wandering trajectories within a thermomechanical framework and to present some results on the overall characterization of the chaotic response of pseudoelastic oscillators. 2 Description of the System The system under consideration is a simple oscillator where the restoring force is provided by a device with pseudoelastic behavior. The model used for the restoring force fits into the family of models introduced in [3] that are derived from the assignment of two constitutive functions: the free energy and the dissipation function.

H. Lamarque 8 6 4 2 -12 -11 -10 -9 -8 -7 -6 z0 Fig. 6 Time t when the maximum of λt (see Fig. 6 Fig. 0653929), but the finite-time pseudoLyapunov exponent shows a somewhat different behavior, see Fig. 7. Finally, we want to highlight the fact that these results can be generalized to non-smooth systems. Indeed, a generalized Lyapunov exponent can be defined On the Numerical Value of Finite-Time Pseudo-Lyapunov Exponents 21 x k m g cos (wt) c x ϭ xmax Fig. 8 The linear impact oscillator (see [7, 11–15]) and thus also a generalized finite-time pseudo-Lyapunov exponent ( [16, 17]).

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