Green’s function for a multifield material with a heat source

• Autorzy: Rogowski B.

Identyfikatory

DOI

10.15632/jtam-pl.54.3.743

• Języki publikacji: EN

Abstrakty

EN

Green’s functions for a multifield material subjected to a point heat source are presented in an explicit analytical form. The study concerns the steady-state thermal loading infi- nite region, half-space region and two-constituent magneto-electro-thermo-elastic material region. The new mono-harmonic potential functions, obtained by the author, are used in the analysis. The elastic displacement, electric potential, magnetic potential and induced by those coupled multifield physical quantities, caused by internal or external heat sources, are limited and presented in a very useful form, exactly and explicitly.

Słowa kluczowe

EN

Green's functions; point heat source; multifield material; magneto-electro-thermo-elastic fundamental solution; multifield composites; exact solution

• Wydawca: Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
• Czasopismo: Journal of Theoretical and Applied Mechanics
• Rocznik: 2016
• Tom: Vol. 54 nr 3
• Strony: 743--755
• Opis fizyczny: Bibliogr. 9 poz.

Twórcy

autor

Rogowski B.

• Lodz University of Technology, Department of Mechanics of Materials, Łódź, Poland

Bibliografia

• 1. Chen W.Q., Lee K.Y., Ding H.J., 2004, General solution for transversely isotropic magnetoelectro-thermo-elasticity and the potential theory method, International Journal of Engineering Science, 42, 1361-1379
• 2. Hou P.F., Leung A.Y.T., Ding H.J., 2008, A point heat source on the surface of a semi-infinite transversely isotropic electro-magneto-thermo-elastic material, International Journal of Engineering Science, 46, 273-285
• 3. Lekhnitskii S., 1963, Theory of Elasticity in an Anisotropic Elastic Body, Holden-Day Inc., San Francisco
• 4. Morse P.M., Feshbach H., 1953, Methods of Theoretical Physics, McGraw Hill, New York
• 5. Rogowski B., 2012, A concave indenter on a piezo-electro-magneto-elastic substrate or a layer elastically supported, The Journal of Strain Analysis for Engineering Design, 47, 6, 362-378
• 6. Rogowski B., 2013, Anti-plane crack emanating from the interface in a bounded smart PEMOelastic structure, International Journal of. Applied Mechanics and Engineering, 18, 4, 1165-1199
• 7. Rogowski B., 2014, The analysis of mode I conducting crack under general applied loads in piezoelectromagnetoelastic layer, International Journal of Engineering Science, 75, 11-30
• 8. Rogowski B., 2015, The transient analysis of conducting crack in magneto-electro-elastic halfspace under anti-plane mechanical and in-plane electric and magnetic impact, Archive of Applied Mechanics, 85, 29-50
• 9. Stroh A.H., 1958, Dislocations and cracks in anisotropic elasticity, Philosophical Magazine, 3, 625-646

Uwagi

PL

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniajacą naukę.