Thermomagnetoelectroelasti city of anisotropic solids with spatial non-flat thin inclusions

Abstract

Based on the application of coupling principle for continua of different dimension the mathematical models of thin deformable inclusions for thermomagnetoelectroelastic solids are proposed. Corresponding integral equations are derived and the boundary element method for their solution is developed. The key features of the latter are the usage of discontinuous boundary elements, special shape functions, nonlinear mappings for smoothing the sub-integral at the element’s boundary and the modified Kutt’s quadrature for numerical evaluation of singular integrals. All these made possible to develop efficient numerical approach for the solution of the stated problem class. Numerical example is considered, which studies thin inhomogeneity of paraboloidal shape.

Authors and Affiliations

Roman Pasternak, Iaroslav Pasternak, Heorhiy Sulym

Keywords

Related Articles

Automated system for irradiation of biologically active points of the human body

The automated system for the control of the absorbed energy dose of laser irradiation in the frequency range of modulation is developed and proposed.The possibility of choosing radiation frequencies with the maximum abso...

Experimental and probabilistic numerical modeling of impact of fiber-reinforced composites at high and low velocities

Peculiarities of energy absorption dynamics and the damage of plates of multicomponent composite material are analysed depending on the impact speed at impact velocities ranging from 20 to 1500 m/s in view of causing the...

The comparative analysis of mathematical models of cyclic signals structure and processes

The article deals with the comprehensive research of the possibilities, perspectives and efficiency of the application of the popular mathematical models of cyclic signals and processes on the basis of mathematical suppo...

Estimation of crack progration dynamics in WWER-1000 core barrel taking into account combined effect of high temperature, static loading and neutron irradiation [in Ukrainian].

Reactor in-core components is subjected to high radiation doses that results in change of form and swelling during operation. Inside pressure of baffle on core barrel in zone of contact in WWER-type reactors creates addi...

Risk indicators and diagnostic models for sudden failures

The method of the resource safety index is substanciated. It is used to assess reliability, with both gradual and sudden failures. A model of the periodicity of emissions for mechanical systems of industrial production i...

Download PDF file
  • EP ID EP280333
  • DOI 10.33108/visnyk_tntu2017.04.016
  • Views 68
  • Downloads 0

How To Cite

Roman Pasternak, Iaroslav Pasternak, Heorhiy Sulym (2017). Thermomagnetoelectroelasti city of anisotropic solids with spatial non-flat thin inclusions. Вісник Тернопільського національного технічного університету, 88(4), 16-25. https://europub.co.uk/articles/-A-280333