Fictitious Parts of the Load in Thermoelasticity
Poznan University of Technology, Institute of Applied Mechanics
ul. Piotrowo 3, 60-965 Poznań, Poland
janusz.jankowski@put.poznan.pl
Received:
Received: 14 May 2008; published online: 20 November 2008
DOI: 10.12921/cmst.2008.14.02.97-103
OAI: oai:lib.psnc.pl:653
Abstract:
The three-dimensional coupled quasi-static problem of linear thermoelasticity is presented. The concept is based on a spatial extension of a region occupied by the considered body and on spatial formulation of a new fictitious load. All the outside objects are termed here fictitious ones. The solution of the initial-space value problem includes fictitious displacement temperature components. Capacity values of approximate fictitious components are calculated from a boundary condition contracted to the finite time interval. The approximate solution to the primary thermoelastic problem is obtained by contracting in space the approximate solution to the initial-space value problem. It enables us to determine the thermoelastic flow
Key words:
convolution products, coupled thermoelasticity, fictitious components
References:
[1] M. Schwartz, S. Green, W. A. Rutlege, Vector Analysis, Happer&Brothers Publishers, New York (1960).
[2] W. Nowacki, Theory of Elasticity, (in Polish) Polish Scientific Publishers, Warszawa (1970).
[3] Z. Szmydt, Fourier Transform and Linear Differential Equations, (in Polish), Polish Scientific Publishers, Warszawa (1972).
[4] H. Marcinkowska, Introduction to the Theory of Partial Differential Equations, (in Polish), Polish Scientific Publishers, Warszawa (1972).
[5] J. Jankowski, A Method of Helmholtz Sources in Thermoelasticity, J. Thermal Stresses 28, 9 (2005).
The three-dimensional coupled quasi-static problem of linear thermoelasticity is presented. The concept is based on a spatial extension of a region occupied by the considered body and on spatial formulation of a new fictitious load. All the outside objects are termed here fictitious ones. The solution of the initial-space value problem includes fictitious displacement temperature components. Capacity values of approximate fictitious components are calculated from a boundary condition contracted to the finite time interval. The approximate solution to the primary thermoelastic problem is obtained by contracting in space the approximate solution to the initial-space value problem. It enables us to determine the thermoelastic flow
Key words:
convolution products, coupled thermoelasticity, fictitious components
References:
[1] M. Schwartz, S. Green, W. A. Rutlege, Vector Analysis, Happer&Brothers Publishers, New York (1960).
[2] W. Nowacki, Theory of Elasticity, (in Polish) Polish Scientific Publishers, Warszawa (1970).
[3] Z. Szmydt, Fourier Transform and Linear Differential Equations, (in Polish), Polish Scientific Publishers, Warszawa (1972).
[4] H. Marcinkowska, Introduction to the Theory of Partial Differential Equations, (in Polish), Polish Scientific Publishers, Warszawa (1972).
[5] J. Jankowski, A Method of Helmholtz Sources in Thermoelasticity, J. Thermal Stresses 28, 9 (2005).