NDLI: A new approach to constructing Green’s functions and integral solutions in thermoelasticity

Content Provider	Springer Nature Link
Author	Şeremet, Victor
Copyright Year	2013
Abstract	This paper is devoted to a new approach for the derivation of main thermoelastic Green’s functions (MTGFs), based on their new integral representations via Green’s functions for Poisson’s equation. These integral representations have permitted us to derive in elementary functions new MTGFs and new Poisson-type integral formulas for a thermoelastic octant under mixed mechanical and thermal boundary conditions, which are formulated in a special theorem. Examples of validation of the obtained MTGFs are presented. The effectiveness of the obtained MTGFs and of the Poisson-type integral formula is shown on a solution in elementary functions of a particular BVP of thermoelasticity for octant. The graphical and numerical computer evaluation of the obtained MTGFs and of the thermoelastic displacements of the particular BVP for an octant is also presented. By using the proposed approach, it is possible to derive in elementary functions many new MTGFs and new Poisson-type integral formulas for many canonical Cartesian domains.
Starting Page	735
Ending Page	755
Page Count	21
File Format	PDF
ISSN	00015970
Journal	Acta Mechanica
Volume Number	225
Issue Number	3
e-ISSN	16196937
Language	English
Publisher	Springer Vienna
Publisher Date	2013-09-26
Publisher Place	Vienna
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Theoretical and Applied Mechanics Classical Continuum Physics Continuum Mechanics and Mechanics of Materials Structural Mechanics Vibration, Dynamical Systems, Control Engineering Thermodynamics, Heat and Mass Transfer
Content Type	Text
Resource Type	Article
Subject	Mechanical Engineering Computational Mechanics

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