HEAT CONDUCTION (Poisson’s and Laplace’s Equations)

Green’s functions 2D-C and solution in integral form for 2D boundary-value problems (BVPs) (for Poisson’s equation) for the following domains (in rectangular coordinates): plane, half-plane, quarter-plane, strip, half-strip and rectangle.


Green’s functions 2D-P and solution in integral form for
2D BVPs  (for Poisson’s equation) for the following domains (in polar coordinates):
Plane, half-plane, quarter-plane, unlimited angle, interior of the circle, half-circle, quarter-circle, circular circle, exterior of the circle, half-plane excluding half-circle, quarter-plane excluding quarter-circle, unlimited circular circle, circular layer, circular half- layer,  circular quarter- layer and sector of circular layer.



Green’s functions 3D-C and solution in integral form for 3D boundary-value problems (BVPs) for the following domains (in Cartesian coordinates): space, half-space, quarter-space, octant, layer, half-layer, quarter-layer, unbounded parallelepiped, semi-bounded parallelepiped and bounded parallelepiped.

ELASTICITY (Lame’s equations)

Green’s tensors 2D-C and solution in integral form for 2D boundary-value problems (BVPs) of Lame’s equations for the following domains (in rectangular coordinates): plane, half-plane, quarter-plane, strip, half-strip and rectangle.

Green’s tensors 3D-C and solution in integral form for 3D boundary-value problems (BVPs) of Lame’s equations for the following domains (in Cartesian coordinates): space, half-space, quarter-space, octant, layer, half-layer, quarter-layer, unbounded parallelepiped, semi-bounded parallelepiped and bounded parallelepiped.

NEWS

Publications 2014:
Articles in journals  ISI (Web of Science)

• Seremet Victor and Erasmo Carrera, Solution in Elementary Functions to a BVP of Thermoelasticity: Green's Functions and Green's-Type Integral Formula for Thermal Stresses within a Half-Strip”, Journal of Thermal Stresses, Vol. 37, Issue 8, August, 2014, pp. 947-968 Taylor&Francis,ISSN 0149-5739, IF, ISI: 1.169.
• Șeremet Victor, Recent integral representations for thermoelastic Green’s functions and many examples of their exact analytical expressions, Journal of Thermal Stresses, 37,(5), pp. 561-584, 2014, Taylor&Francis,ISSN 0149-5739, IF, ISI: 1.169.
• Seremet Victor, A new approach to constructing Green's functions and integral solutions in thermoelasticity, ActaMechanica, 225, (3), pp. 737-755, 2014, Springer,ISSN: 0001-5970 IF, ISI1.268.
• Seremet Victor, Static equilibrium of a thermoelastic half-plane: Green’s functions and solutions in integrals, Arch ApplMech, 84, (4), pp. 553-570, 2014, Springer, ISSN: 0939-1533, IF, ISI: 1.438.
• Șeremet Victor, A new efficient unified method to derive new constructive formulas and explicit expressions for plane and spatial thermoelastic Green’s functions,  ActaMechanica, DOI 10.1007/s00707-014-1160-y, 2014,SpringerISSN: 0001-5970 IF, ISI:1.268.
• Seremet Victor, A new technique to derive many explicit thermoelastic Green’s functions, Transylvanian Journal of Mathematics and Mechanics, Vol. 6, Nr. 2, TJMM

p. 181-200,  EDYRO PRESS, 2014, ISSN: 2067-239X.

Monograph
Seremet Victor,Thermoelastic Green’s function (Steady-state BVPs for some semi-infinite domains), Editorial Centre of Agrarian State University, Publisher “Print-Caro”  236p. Chişinău 2014,ISBN 978-9975-46-108-1.

Article in international Encyclopedia on thermal stresses
Seremet Victor, Green’s Functions in Three-Dimensional Thermoelastostatics , Encyclopedia of Thermal Stresses, pp. 2061-2070,  Springer, 2014, Hetnarski, Richard B. (Ed.), ISBN 978-94-007-2738-0

International Conference:
Victor Seremet, Ion Cretu, Dumitru Seremet: Explicit thermalstresseswithin a thermoelastichalf-stripandtheirgraphicalpresentationusingMaple - 15 Soft. Proc. of theThirdConference of Mathematical Society of Moldova IMCS-50 (withinternationalparticipation), Chişinău, Republic of Moldova, 19-23August, 2014, p. 410-413.

 InvitedReseachProfessor at Henan University of Technology, China, December 2013-Mart 2014

MobilityEuroeast Project Politecnico di Torino, Italy, 2013

Laureate of the Prize and Diploma of Academy of Science of Moldova, 2012

Juin 2010, InvitedReseachProfessorat Laboratoire MSME (Modélisationet Simulation Multi Echelle, CNRS), Université Paris Est, Marne-la-Vallée.

December 20, 2010 Award Laureate of the Academy of Sciences of Moldova

International Conferences:

Sheremet Victor, Bonnet Guy and Tatiana Speianu, The ΘG-convolution method for Green’s integral formulas derivation, Proceedings of the 7th Euromech Solid Mechanics Conference, Lisbon, Portugal, September 7-11, 2009. Download pdf file of article

Шеремет В. Д., Guy Bonnet  и Корнеев В. М, Об одном методе построения функций Грина и интегральных формул Пуассона в термоупругости, Воронежская международная конференция "Актуальные проблемы прикладной математики, информатики и механики”, 2009, 5стр.

ARTICLES PUBLISHED IN JOURNALS CITED BY ISI (Institute for Scientific Inforation)

1. Seremet Victor,  Cretu Ion, Influence functions, integral formulas, and explicit solutions for thermoelastic spherical wedges,  Acta Mechanica, 224, 4, 2013, pp. 893-918.

   
   
2. Seremet Victor, Recent integral representations for thermoelastic Green's functions and many examples of their exact analytical expressions, Journal of Thermal Stresses, 2013, 24 p. (accepted).
   
   
   
3. Seremet Victor, Static equilibrium of a thermoelastic half-plane: Green’s functions and solutions in integrals, Arch Appl Mech, 2013, 21 p. (submitted).
   
   
   
4. Seremet Victor,  A new approach to constructing Green's functions and integral solutions in thermoelasticity, Acta Mechanica, 2013, 27 p. (submitted).
   
   
   
5. Seremet Victor, New closed-form Green function and integral formula for a thermoelastic quadrant, Applied Mathematical Modelling, 36, 2012, pp. 799-812, DOI: 10.1016/j.apm.2011.07.004
   
   
   
6. Seremet Victor, New closed-form Green function and integral formula for a thermoelastic quadrant, Applied Mathematical Modelling, 36, 2012, pp. 799-812, DOI: 10.1016/j.apm.2011.07.004
   
   
   
7. Seremet Victor, Thermoelastostatic equilibrium of a spatial quadrant: Green’s function and solution in integrals, Arch Appl Mech, DOI 10.1007/s00419-012-0625-5, 2012, 23 pages
   
   
   
8. Seremet Victor, Exact elementary Green’s functions and integral formulas in thermoelasticity for a half-wedge, ASCE, Engineering Mechanics, 2012, 30 pages
   
   
   
9. Șeremet Victor and Guy Bonnet, New closed-form thermoelastostatic Green function and   Poisson-type integral formula for a quarter-plane, Mathematical and Computer Modeling, Volume 53, Issue 1-2, January 2011, Pages 347-358
   
   
   
10. Șeremet Victor, A new technique to derive the Green’s type integral formula in thermoelasticity, Engineering Mathematics, Vol. 69. Number 4, 2011,  pages 313-326, DOI: 10.1007/s10665-010-9385-9 
    
    
    
11. Șeremet Victor, Deriving exact Green’s functions and integral formulas for a thermoelastic wedge, Engineering Analysis with Boundary Elements, Vol. 35, Issue 3,  2011, pages 327-332 DOI:10.1016/j.enganabound.2010.08.016
    
    
    
12. Victor Seremet, New Poisson’s integral formulas for thermoelastic half-space and other canonical domains, Engineering Analysis with Boundary Elements, 34, 2 (2010), 158-162.
    
    
    
13. Victor Seremet, A method to derive new Greens tensors for polar domains, Mechanics Research Communications, Volume 37, Issue 1, January 2010, Pages 7-12 .
    
    
    
14. Şeremet Victor, New explicit Green’s function and Poisson’s integral formula for a thermoelastic quarter-space, Journal of Thermal Stresses, Volume 33 Issue 4, 2010 Pages 356 – 386
    
    
    
15. Seremet Victor, Exact elementary Green functions and Poisson-type integral formulas for a thermoelastic half-wedge with applications, Journal of Thermal Stresses, Vol. 33, Issue 12, 2010, pages 1156-1187, DOI: 10.1080/01495739.2010.510746
    
    
    
16. Sheremet Victor, Bonnet Guy and Tatiana Speianu, New Poisson’s type integral formula for thermoelastic half-Space, Mathematical Problems in Engineering, Volume 2009, Article ID284380, 18 pages doi:10.1155/2009/284380.
    
    
    
17. Sheremet Victor, Bonnet Guy and Tatiana Speianu, New integral representations in the dynamic uncoupled thermoelasticity, Journal of Thermal Stresses, 32:1043-1064, 2009,  DOI:10.1080/01495730903103119.

Temporary research position (invited Professor)

Juin 2010, Laboratoire MSME (Modélisation et Simulation Multi Echelle, CNRS),
Université Paris Est, Marne-la-Vallée.