
J. Awrejcewicz, G. Kudra and C.H. Lamarque
:
Nonlinear dynamics of triple pendulum with impacts

R.K. Pramanik, S.C. Pal and M.L. Ghosh
:
High frequency solution of elastodynamic stress
intensity factors due to the diffraction of plane longitudinal wave by an
edge crack in a semiinfinite medium

J.P. Nowacki, V.I. Alshits and A. Radowicz
:
Green's function for an infinite piezoelectric strip with a general line defect

S. Giambò, B. Maruszewski and L. Restuccia
:
On a nonconventional thermodynamical model of a defective piezoelectric crystal

E. Barbera and S. Giambò
:
Twowaves nonlinear interactions for hyperbolic systems
of balance laws

A. Ciarkowski
:
On Sommerfeld precursor in a Lorentz medium

K. CabańskaPłaczkiewicz and N.D. Pankratova
:
Vibrations of the complex torsional system with a viscoelastic mass interlayer

J. Przeszowski
:
Vortices and flux quantization in the gauge models of
high temperature superconductors

J. Awrejcewicz, G. Kudra and C.H. Lamarque
:
Nonlinear dynamics of triple pendulum with impacts

Dynamics of a triple pendulum with damping, external
forcing and impacts is analyzed numerically. In this mechanical
system periodic, quasiperiodic and chaotic motions are detected.
Specially developed numerical methods allow to track nonlinear
behaviour of mechanical systems with many degrees of freedom and
arbitrarily situated barriers, where an impact occurs.
Contents

R.K. Pramanik, S.C. Pal and M.L. Ghosh
:
High frequency solution of elastodynamic stress
intensity factors due to the diffraction of plane longitudinal wave by an
edge crack in a semiinfinite medium

A harmonic in time, plane longitudinal wave is incident
on a halfspace containing a vertical edge crack. Both the
incident field as well as the scattered field have been decomposed
into symmetric and antisymmetric fields with respect to the plane
of the crack, so that the problem is reduced to the boundary value
problem for a 90° wedge. In both the symmetric and
antisymmetric problem, incident body waves are at first diffracted
by the edge of the crack. For a high frequency solution, the
diffracted body wave rapidly decreasing after a few wavelengths,
the significant part of the diffracted wave is the Rayleigh wave
which is reflected back from the corner of the wedge giving rise
to a Rayleigh wave diffracted by the crack tip. This process of
reflection of surface wave from the corner of the wedge and
subsequent diffraction by the crack tip continues. Considering the
contribution from the incident body waves and all the reflected
Rayleigh waves, the stress intensity factors have been determined
and their dependence on the frequency and on the angle of
incidence has been depicted by means of graphs.
Contents

J.P. Nowacki, V.I. Alshits and A. Radowicz
:
Green's function for an infinite piezoelectric strip with a general line defect

The 2D electroelastic fields are found in the
piezoelectric strip with the straight general line defect parallel
to the surfaces and consisting of the four coinciding sources: the
line of forces, the charged line, the dislocation line and its
electrostatic analogue. Electrically, the strip is supposed to be
placed between two isotropic dielectric media. Mechanically, three
boundary conditions are considered: (i) both the surfaces are
free; (ii) both the surfaces are clamped; and (iii) one surface is
free and the other is clamped. The solutions obtained for a
general case of unrestricted anisotropy are presented in the form
of convergent Fourier integrals, in terms of the eigenvectors and
eigenvalues of the generalized Stroh problem. Determination of
these eigenvalues and eigenvectors requires additional computing.
Specific features of the derived solutions at infinity are
analyzed.
Contents

S. Giambò, B. Maruszewski and L. Restuccia
:
On a nonconventional thermodynamical model of a defective piezoelectric crystal

The paper deals with an extended thermodynamical
description of a defective piezoelectric crystal. Introducing a
dislocation core tensor as an internal variable, the body is
regarded as homogeneous and isotropic. Liu's theorem is applied to
analyze the entropy inequality. The general constitutive relations
for the state laws are derived, including all the possible linear
and higher order simple and crosseffects which occur in the
crystal when thermal, electric, elastic and dislocation fields
interact with each other.
Contents

E. Barbera and S. Giambò
:
Twowaves nonlinear interactions for hyperbolic systems
of balance laws

In this paper we study the weakly nonlinear interaction
of two waves whose propagation is governed by hyperbolic systems
of balance laws. The method used here makes use of nonlinear phase
variables and consists in a perturbation analysis. It is applied
to an Eulerian gas and to a gas described by extended
thermodynamics with thirteen moments.
Contents

A. Ciarkowski
:
On Sommerfeld precursor in a Lorentz medium

A onedimensional electromagnetic problem of Sommerfeld
precursor evolution, resulting from a finite risetime signal
excitation in a dispersive Lorentz medium is considered. The
effect of the initial signal rate of growth as well as of the
medium dumping on the precursor shape and its magnitude is
discussed. The analysis applied is based on an approach employing
uniform asymptotic expansions. In addition, new approximate
formulas are given for the location of the distant saddle points
which affect local frequency and dumping of the precursor. The
results obtained are illustrated numerically and compared with the
results known from the literature.
Contents

K. CabańskaPłaczkiewicz and N.D. Pankratova
:
Vibrations of the complex torsional system with a viscoelastic mass interlayer

This paper presents an analytical method of solving the
free and forced vibrations problems concerning a complex torsional
continuous system of two circular shafts connected by a
viscoelastic mass interlayer. In the solution of free and forced
vibrations, the complex functions of real variable are used. Then,
the property of orthogonality of complex modes of free vibrations
has been demonstrated which is the basis for solving the free and
forced vibrations problem for arbitrary initial conditions. The
small torsional vibrations of the complex system with a
viscoelastic mass interlayer are excited by the steadystate
dynamical loading.
Contents

J. Przeszowski
:
Vortices and flux quantization in the gauge models of
high temperature superconductors

In this brief note different kinds of vortex states in
the gauge models of high temperature superconductivity are
presented. These theoretical considerations are confronted with a
possible future experimental verification.
Contents
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