Search academic texts

Registration Number

0221U105756, 0120U104877 , R & D reports

Title

Thermomechanics of anisotropic and smart materials with thread-like and shell-like inclusions

popup.stage_title

Head

Pasternak Yaroslav M., д.ф.-м.н.

Registration Date

30-08-2021

Organization

Lutsk National Technical University

popup.description2

 The discontinuity function boundary element method for the analysis of spatial problems of thermomagnetoelectroelasticity of solids with shell-like deformable inclusions, which are sensitive to the influence of different physical and mechanical fields, is developed. For this purpose, truly boundary integral formulas and equations of spatial problems of thermomagnetoelectroelasticity of anisotropic solids are derived, which kernels are presented in a closed form with a singular multiplier. The method of numerical solution of these integral equations on the basis of the scheme of the boundary elements method is developed. The peculiarity of the proposed approach is the use of special shape functions that take into account fields singularity on the front line of shel-like inhomogeneities (cracks, inclusions), special modified Kutt quadrature formulas for calculating singular and hypersingular integrals, special quadrature formulas for fast and high-precision evaluation of kernels, formulas for determination of the field intensity factors. Guided by the ideology of the discontinuity function approach, models of thin shell-like inclusions, which are sensitive to the influence of different physical and mechanical fields, are derived. The peculiarity of these models is their finite-element representation using the same shape functions and geometry as in the boundary-element models, which significantly simplifies the scheme of numerical solution of the formulated boundary value problems. Partial cases of soft weakly permeable deformable inclusions and rigid heat and electrically conductive nondeformable inhomogeneities are considered separately. Approaches to the analysis of partially debonded inclusions are created. A numerical analysis of a large number of problems is performed.

Product Description

popup.authors

Andriychuk Oleksandr V.
Yasiuk Ivan M.

popup.nrat_date

2021-08-30