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The construction of the Green’s matrices by incompressible influence elements method,

Author: Speianu Tatiana
Degree:doctor of physics and mathematics
Speciality: 01.04.27 - Mechanics of deformable solids
Scientific adviser: Victor Şeremet
doctor habilitat, associate professor (docent), Technical University of Moldova
Institution: Agrarian State University of Moldova


The thesis was presented on the 18 February, 2011
Approved by NCAA on the 31 March, 2011


Adobe PDF document0.58 Mb / in romanian


Green’s function, Green’s matrix, volume dilatation, influence function, elasticity, term elasticity, canonical domains, fundamental solutions.


The dissertation consists of: an introduction, three chapters, general conclusions and recommendations, a bibliography containing 151 titles, 9 annexes, 117 pages of basic text, and 19 figures. The results are published in 12 scientific works.

Study area: theory of elasticity.

The goal of the investigation: the generalization of the incompressible influence elements method and its application to construction the Green’s in elasticity and term elasticity. Obtaining in elementary functions some Green’s matrices for new boundary value problems.

The investigation objectives:elaboration of some special methods: separation of variables, reflection of the fundamental solutions, calculation of some volume integrals for construction of the incompressible Green’s matrices for canonical domains of curb linear systems of orthogonal coordinates; construction the Green’s matrices and integral formulas for new boundary value problems; obtaining, in elementary functions, of solutions for some new particular boundary value problems in elasticity and thermo elasticity.

The novelty and scientific originality: generalization of the incompressible influence elements method in Green’s matrices construction for canonical domains, described in orthogonal curb linear coordinates, which substantially increase the base of the date for Green’s functions and matrices. Obtaining in elementary functions some Green’s matrices for new boundary value problems.

The theoretical signification:elaboration of some new additional methods which provide the generalization of the incompressible influence elements methods in the case of the canonical domains, described by orthogonal curb linear coordinates and, as a result, substantially increase the possibilities in construction of the Green’s matrices.

The applied value: the incompressible influence elements method will permit to substantial increasing of the date’s base for Green’s functions and matrices and, as a result, will make an impact in development and application of the analytical and numerical methods to solution the boundary value problems of mechanics of solid deformable body.