Rozwiązanie fundamentalne zagadnienia quasi-statycznego stacjonarnej termodyfuzji w ośrodku sprężystym o właściwościach mikropolarnych

• Autorzy: Wieczorek B.

Warianty tytułu

EN

Fundamental solutions for the quasi-static and stationary problem of thermodiffusion process in the elastic solid of micropolar properties

• Języki publikacji: PL

Abstrakty

EN

In a paper the problem of displacement evaluation coupled with the flow of mass and heat consideration is analysed in the elastic solid with micropolar structure. The problem of quasi-static and stationary process is described diffusion and conductivity equations and systems of motion equations for displacements and rotations. The system of equations has eight partial differential equations of the second order. The searched quantities in the problem are: the temperature T, the concentration C, the displacement field ui and rotation field ϕi. There is presented the method of the solution for the equations’ system. The transformation methods are used in the construction of fundamental solutions of the system of equations. A fundamental solution of that system is built on the basis of Fourier’s transformation, its properties and theory of distribution. On their basis are obtained the solution of the initial system. The fundamental solutions and the reciprocity theorem is applied to find the solution of the analyzed initial-boundary problem.

Słowa kluczowe

PL

termodyfuzja; właściwości mikropolarne; termodynamika

EN

thermodiffusion; micropolar properties; thermodynamics

• Wydawca: Komisja Inżynierii Budowlanej Polskiej Akademii Nauk Oddział w Katowicach
• Czasopismo: Roczniki Inżynierii Budowlanej
• Rocznik: 2007
• Tom: z. 7
• Strony: 129--134
• Opis fizyczny: Bibliogr. 5 poz.

Twórcy

autor

Wieczorek B.

• Politechnika Śląska, Gliwice

Bibliografia

• [1] Domański Z., Piskorek A.: Matrices of fundamental solutions for the system of quasi-static equations of thermoelasticity and the system of dynamic equations of thermal stresses., AMS 23,2,1971.
• [2] Nowacki W.: Teoria niesymetrycznej sprężystości, PWN, Warszawa, 1971.
• [3] Wieczorek B.: The forms of the reciprocal theorem for different thermodynamic formulations of the thermodifusion process in the micropolar medium, VIIth International Conference “Static-structural and constructional-physical problems of engineering constructions”, Košice 2005.
• [4] Wieczorek B.: The forms of the thermodiffusion flows equations in the micropolar medium for different thermodynamic formulations of the process, 4rd International Conference “New Trends in Statics and Dynamics of Buildings”, Bratislava 2005.
• [5] Wieczorek B.: The fundamental solutions for the quasi-static problem of elastic termodiffusion, XI International Scientific Conference, Brno 1999.