Engineering Transactions, 32, 2, pp. 255-242, 1984

Fundamental Solutions to the Cosserat Type Model of Honeycomb Grid in a Plane-Stress State

T. Lewiński
Technical University of Warsaw, Warszawa

In the paper fundamental solutions to the continuum Woźniak’s type model of elastic grid disk of honcycomb structure are found; the singularities of displacements, strains, stresses as well as couple stresses are displayed and examined. In a particular case when constitutive equations are decoupled, the solutions obtained reduce to the well known components of the Green tensor for an isotropic and centrosymmetric Cosserat medium in a plane stress state.
Full Text: PDF
Copyright © Polish Academy of Sciences & Institute of Fundamental Technological Research (IPPT PAN).


P. KLEMM, CZ. WOŹNIAK, Dense, elastic lattices of hexagonal type, Mech. Teoret. Stos., 8, 3, 277-293, 1970 [in Polish].

T. LEWIŃSKI, Two versions of Woźniak's continuum model of hexagonal type grid plates, Mech. Teoret. Stos., 23, 3, 1984.

T. LEWIŃSKI, Djfferential models o hexagonal type grid plates, Mech. Teoret. Stos., 23, 3, 1984. 4.

T. LEWIŃSKI, Physical correctness of Cosserat's type models of honeycomb grid plates, Mech. Teoret. Stos., 23., 4, 1984.

W. NOWACKI, Theory o unsymmetrical pasticity [in Polish] PWN, Warszawa 1981.

I. M. GELFAND, G, E. SHILOV, Generalized functions, vol. 1, Moscow 1959.

O. M. FICHTENHOLZ, Differential and integral calculus, vol. III, PWN, Warszawa 1969, [in Polish].

M. ABRAMOVITZ, I. A. STEGUN, Handbook of mathematical functions, National Bureau of Standards, 1964.

T. LEWIŃSKI, Continuum models of lattice type hexagonal plates, Doctor's Thesis, Technical University of Warsaw 1983 [in Polish].