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vol. 53, no. 1 (2005)

Contents of issue 4, vol. 52

  1. L. Kruszka, G. V. Stepanov, V. V. Kharchenko, V. I. Zubov: Experimental and computer analyses of impact penetration of a steel rod into heavy plates of steel and aluminum alloys
  2. W. Bodaszewski: Algorithms of the method of statically admissible discontinuous stress fields (SADSF)
    Part II. The algorithms for solving limit stress fields around isolated nodes of stress discontinuity lines
  3. P. Kołakowski: Damage identification by the static virtual distortion method
  4. J. German: The influence of intralaminar damage on mechanical properties of composite
BRIEF NOTE
  1. Z. Wesołowski: Logarithmic screw dislocation

L. Kruszka, G. V. Stepanov, V. V. Kharchenko, V. I. Zubov: Experimental and computer analyses of impact penetration of a steel rod into heavy plates of steel and aluminum alloys
In the paper some results of experimental and numerical analysis concerning penetration of a steel rod (with conical and flat-faced heads) into heavy high-strength steel and AMg6, Al-Zn-Mg and D16 aluminum alloys plates are presented. The calculations are conducted for relatively low velocities of penetration (200--1000 m/s), so the hydrodynamic component of the pressure on the contact surface is much lower than the strength of the material with allowance for viscosity effects. In most variants, the strains in the rod are assumed to be elastic for revealing effects of viscosity of the plate material. The resistance to penetration at its initial stages (prior to the rod plastic flow and fracture) is found to be determined by the dynamic strength of the plate material, its viscous component (proportional to the plastic strain rate) prevailing at the impact velocities of up to 500 m/s.
From the experimental analysis it follows that the depth of penetration varies with the velocity, and it is conditioned by wave processes in the plate, their scale being dependent on its thickness. Such experimental results are in agreement with results of computer simulation of the initial stage of rigid rod penetration in plates of limited thickness.

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W. Bodaszewski: Algorithms of the method of statically admissible discontinuous stress fields (SADSF)
Part II. The algorithms for solving limit stress fields around isolated nodes of stress discontinuity lines
Summary of Part II: In the paper, the author introduces the sets of conditions that create the algorithms of the functions on which one defines the boundary problems met in the search for discontinuous limit fields existing around isolated nodes. Among those, there are functions describing states of stress in the component homogeneous regions, the parameters of lines that separate these regions, and, first of all, the formulae for determining the domains based on the general conditions of existence. These formulae play a key role in numerical implementations of the method.
The fields satisfying the Huber-Mises yield condition are of primary choice however, the derived relationships have a general meaning. To emphasise this fact one presents not only the areas of existence valid for the Huber-Mises condition, but also the areas obtained for several other yield conditions applicable to plastically homogeneous materials. The knowledge of the areas opens the possibility of developing the method of search for the fields that obey these conditions, and for algorithmizing this method. This could be applied even for the fields that are characterised by arbitrary, admissible states of stress.
One also presents, basing on a mathematically complete set of conditions, typical formulations of problems concerning the fields around the nodes. One discusses the balance between the set of conditions and the unknowns, as well as the transformations into global systems connected with complex fields.
One consequently applies parametrisation of the yield conditions, which not only reduces the number of unknowns and leads to simple, recursive forms of the formulae, but, first of all, makes it possible to find the formulae for generation of domains, without which numerical solution of the fields and algorithmization of the method would not be possible at all.

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P. Kołakowski: Damage identification by the static virtual distortion method
This paper describes the application of a structural reanalysis technique called the Virtual Distortion Method, coupled with an optimisation technique called the Gradient Projection Method, to the damage identification problem for the case of the static structural analysis. The outline of the Virtual Distortion Method is provided and the fundamentals of the Gradient Projection Method are explained. Subsequently the damage identification problem for the static load case is posed. Numerical example of a truss structure is demonstrated. Conclusions are presented with the emphasis on advantages of the employed methods in numerical computations.

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J. German: The influence of intralaminar damage on mechanical properties of composite
In the paper the damage of fiber-reinforced polymeric matrix laminates is considered with the aim to examine the change of their mechanical properties. The damage mode in the form of intralaminar cracks is described in terms of the damage tensor by Vakulenko and Kachanov. The crack discontinuity parameter is estimated in the frames of the linear elastic fracture mechanics. To derive the constitutive relations, which take into account stress, strain and developing damage, an approach based on polynomial invariant functions and irreducible integrity basis by Adkins is employed. Theoretical results are compared with the experimental data obtained for carbon/epoxy laminates.

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BRIEF NOTE
Z. Wesołowski: Logarithmic screw dislocation
Basing on linear elasticity, the displacement field uz=Bθlnr (in cylindrical coordinates r, θ, z) was derived. This displacement has a jump on the half-plane θ=0. Stresses orthogonal to this discontinuity plane are continuous.

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