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Personal Page - T. A. Angelov

 

RESEARCH

Research Interests:  Mathematical Modelling & Numerical Methods in Solid Mechanics

  • contact and coupled  problems in elasticity and plasticity;
  • variational and numerical methods, variational inequalities; 
  • finite element methods, algorithms and computations.

 

#  Finite Element and Iterative Methods for Nonlinear Problems 

   

#  Mathematical Modelling of Plastic Forming Processes: Contact Problems in the Plastic Flow Theory 

Recent Papers:

  • Angelov, T.A., Variational analysis of a thermomechanically coupled quasi-steady rolling problem, Math. Mech. Solids, 2013, doi:10.1177/1081286513492748.
  • Angelov, T.A., Variational analysis of thermomechanically coupled steady-state rolling problem, Appl. Math. Mech., 2013, doi: 10.1007/s10483-013-1751-6.

 

#  Contact Problems in Elasticity

Selected Papers:

  • Angelov, T.A.,  On a class of Winkler-type contact problems, ZAMM, Vol.76, No.5, pp.273-279, 1996.  
  • Angelov, T.A., A. A. Liolios, An iterative solution procedure for Winkler-type contact problems with friction, ZAMM, Vol.84, No.2, pp. 136-143, 2004.   
  • Angelov, T.A., A. A. Liolios, On the two-step iterative method for solving frictional contact problems in elasticity, Int. J. Appl. Math. & Comp. Science, Vol.15, No.2, pp.197-203, 2005.

 

#  Computational Procedures for Static, Dynamic and Wave Propagation Problems in Elasticity

Selected Papers:

  • Angelov, T.A., Infinite elements - theory and applications, Computers & Structures, Vol.41, pp.959-962, 1991.
  • Angelov, T.A., Ts. Ivanov, Finite-infinite element analysis of P- and SV-wave propagation in a semibounded medium, Computers & Structures, Vol.54, pp.377-382, 1995.

  

PROJECTS 

International Projects (bi-laterally funded) 

  • "Waves in multilayered media" - joint project between Bulgarian and Austrian Academies of Sciences (1988-1992) 
  • "New models in continuum mechanics and structural dynamics" - joint project between Bulgarian and Romanian Academies of Sciences (1992-1996) 

National Projects (funded by the National Science Fund) 

  • No. 8 "New mathematical models for deformation and fracture of anisotropic bodies" (1988 -1990)
  • No. 1041 "Methods for computer simulation of contact solid bodies" (1988-1990)
  • No. MM16 "New mechano-mathematical models for nonelastic bodies" (1991-1994)
  • No. MM206 "Waves in semibounded medium" (1992-1995)
  • No. MM447 "Variational approaches to nonlinear processes of plastic forming with damage" (1994-1998)
  • No. MI-02/05 "Nonlinear problems in the mathematical physics: singularity of the solutions, new methods, visualization, numerical simulation and applications" (2005-2009)   

 

PUBLICATIONS

Papers in Journals:

  • Angelov, T.A., Modelling and solvability of a class steady-state metal forming problems, Nonlinear Engineering, Vol. 3, No. 4, pp. 227-237, 2014.
  • Angelov, T.A., Variational analysis of thermomechanically coupled steady-state rolling problem, Appl. Math. Mech., 2013, doi: 10.1007/s10483-013-1751-6.  
  • Angelov, T.A., Variational analysis of a thermomechanically coupled quasi-steady rolling problem, Math. Mech. Solids, 2013, doi:10.1177/1081286513492748.
  • Angelov, T.A., Solvability of a quasi-steady rolling problem for porous materials, ZAMP, 2013, DOI 10.1007/s00033-013-0335-z.
  • Angelov, T.A., Variational analysis of a rolling problem with damage and wear, Q. J. Mech. Appl. Math., Vol. 65, No. 3, pp. 361-372, 2012.
  • Angelov, T.A., Analysis of a class rigid-plastic rolling problems by a modified secant-modulus method, Int. J. Appl. Mech., Vol. 4, No. 1, 1250011(17p.), 2012.
  • Angelov, T.A., Metal-forming problems with combined hardening, Appl. Math. Mech. -Engl. Ed., Vol. 33, No. 2, pp. 233-242, 2012.
  • Angelov, T.A., Modelling and numerical approach to a class of metal-forming problems - quasi-steady case, Math. Meth. Appl. Sci., Vol. 34, No.11, pp.1330-1338, 2011.
  • Angelov, T.A., Modelling and solvability of a rigid-plastic rolling problem, Math. Mech. Solids, Vol.15, No.6,  pp. 639-654, 2010. 
  • Angelov, T.A., Modelling and analysis of a class of metal-forming problems, Adv. Appl. Math. Mech., Vol. 2, No.6, pp. 722-745, 2010. 
  • Angelov, T.A., Variational and numerical approach to a steady-state rolling problem, J. Eng. Math., Vol. 66, No.4, pp. 311-323, 2010. 
  • Angelov, T.A., Solvability of a quasi-steady rolling problem with slightly compressible material model, Int. J. Comput. Methods, Vol. 4, No.2, pp. 335-351, 2007.
  • Angelov, T.A., A variable stiffness parameters method for a quasi-steady rolling problem, ZAMP, Vol. 58, No.5, pp. 889-904, 2007. 
  • Angelov, T.A., Analysis of a rigid-plastic rolling problem with slightly compressible material model, Int. J. Comput. Methods, Vol. 3, No.2, pp.245-262, 2006.
  • Angelov, T.A., Existence and uniqueness of the solution of a quasi-steady rolling problem, Int. J. Eng. Science, Vol.44, No.11-12, pp.748-756, 2006.
  • Angelov, T.A., A. A. Liolios, On the two-step iterative method for solving frictional contact problems in elasticity, Int. J. Appl. Math. & Comp. Science, Vol.15, No.2, pp.197-203, 2005.
  • Angelov, T.A., Variational analysis of a rigid-plastic rolling problem, Int. J. Eng. Science, Vol.42, No.17-18, pp.1779-1792, 2004.
  • Angelov, T.A., A. A. Liolios, An iterative solution procedure for Winkler-type contact problems with friction, ZAMM, Vol.84, No.2, pp. 136-143, 2004.
  • Angelov, T.A., Variational and numerical approach to a quasi-steady rolling problem, Int. J. Eng. Modelling, Vol.16, No.1-2, pp.23-28, 2003.
  • Angelov, T.A., On a rolling problem for porous materials, Mech. Res. Comm., vol.27, No.6, pp.637-642, 2000.
  • Angelov, T.A., A thermomecanically coupled rolling problem with damage, Mech. Res. Comm., vol.26, No.3, pp.287-293, 1999.
  • Angelov, T.A., On a rolling problem with damage and wear, Mech. Res. Comm., vol.26, No.3, pp.281-286, 1999.
  • Angelov, T.A., A. Nedev, Numerical analysis of a hot-rolling problem with Coulomb-Siebel friction, Eng. Comput., Vol.15, No.8, pp.1000-1010, 1998.
  • Angelov, T.A., A. Nedev, Finite-element analysis of a hot-rolling problem with nonlinear friction, Adv. Eng. Software, vol.28, pp.555-560, 1997.
  • Angelov, T.A., On a class of Winkler-type contact problems, ZAMM, vol.76, No.5, pp.273-279, 1996.
  • Baltov, A., T.A. Angelov, Variational approach of a problem for the non-steady rolling process, Mech. Res. Comm., vol. 22, pp. 555-560, 1995.
  • Angelov, T.A., A. Baltov, A. Nedev, Numerical analysis of a steady-state rolling problem, Mech. Res. Comm., vol.22, pp.547-553, 1995.
  • Angelov, T.A., A secant-modulus method for a rigid-plastic rolling problem, Int. J. Non-linear Mech., vol. 30, pp.169-178, 1995.
  • Angelov, T.A., A. Baltov, A. Nedev, Existence and uniquenes of the solution of a rigid-plastic rolling problem, Int. J. Eng. Sci., Vol.33, No.9, pp.1251-1261, 1995.
  • Angelov, T.A., Ts. Ivanov, Finite-infinite element analysis of P- and SV-wave propagation in a semibounded medium, Comp. and Struct., vol.54, pp.377-382, 1995.
  • Angelov, T.A., Infinite elements - theory and applications, Comp. and Struct. vol.41, pp.959-962, 1991.
  • Ivanov, Ts., P. Dineva, L. Hadjikov, T.A. Angelov, Propagation of transient SH-waves in a dipping structure by finite and boundary element methods, Acta Mechanica, vol.80, pp.113-125, 1989.
  • Angelov, T.A., E. Manoach, A point-in-domain identification program, Adv. Eng. Software, vol.11, No.2, pp.99-106, 1989.
  • Angelov, T.A., Existence and uniqueness theorem for a class of contact problems in elastodynamics, Univ. Annuals - Appl. Math., vol.24, No.4, pp.191-199, 1988.
  • Brankov, G., Ts. Ivanov, T.A. Angelov, Numerical investigation of wave propagation in layered media. Part 1. Propagation of SH-waves, Theor. Appl. Mech., XIX, No.4, pp.32-41, 1988.
  • Ivanov, Ts., T.A. Angelov, Earthquake response analysis of underground structures, Annuaire de l'Universite de Sofia, Vol.78, livre 2, pp.57-65, 1984.
  • Ivanov, Ts., T.A. Angelov, Cross section investigation of underground structures subjected to seismic excitations, Theor. Appl. Mech., XV, No.3, pp.53-63, 1984 (in bulgarian).

Papers in Proceedings:

  • Angelov, T.A., On the solvability of the steady-state rolling problem, In: Zhilin Li, Lubin Vulkov, Jerzy Wasniwetski (eds.), Numerical Analysis and its Applications: Third International Conference, NAA 2004, Rousse, Bulgaria, June 29 - July 3, 2004, Lecture Notes in Computer Science, Springer-Verlag, Vol. 3401, pp.125-132, 2005.
  • Angelov, T.A., The Kachanov method for a rigid-plastic rolling problem, In: Dimov, I., Lirkov, I., Margenov, I., Zlatev, Z. (eds.), Numerical Methods and Applications., Lecture Notes in Computer Science, Springer-Verlag, Vol. 2542, pp.372-378, 2003.
  • Angelov, T.A., The Kachanov method for some metal forming problems, pp.425-430, In: C.C. Baniotopoulos (ed.), Proceedings of Int. Conf. on Nonsmooth/Nonconvex Mechanics with Appl. to Engineering, 5-6 july 2002, Thessaloniki, Greece.
  • Angelov, T.A., A conception for constructing infinite elements, 6th Nat. Congress Theor.Appl.Mech., vol.2, pp.270-273, (ed. G.Brankov), Publ. house of BAS, Sofia, 1989.
  • Angelov, T.A., On contact problems in linear elastostatics, 2nd Int.Conf.Num.Meth. Appl., pp.28-31, (Bl.Sendov, R.Lazarov, I.Dimov eds.), Publ. house of BAS, 1989.
  • Ivanov, Ts, T.A. Angelov, Friction forces influence on the responce of underground structures subjected to earthquake motions, 5th Nat.Congress Theor.Appl.Mech., pp.448-453, (ed. G.Brankov), Publ. house of BAS, Sofia, 1985. 
  • Angelov, T.A., Ts. Ivanov, On a model for determining the response of underground structures to earthquake motion, 3rd Conf.Diff.Eqn.Appl., pp.449-502, Rousse, 1985.
  • Angelov, T.A., Ts. Ivanov, Computational procedures in finite-element analysis of underground sructures subjected to earthquake motions, 1st Int.Conf.Num.Meth.Appl., pp.165-172, (Bl.Sendov, R.Lazarov, I.Dimov eds.), Publ. house of BAS, Sofia, 1985.

Angelov, T.A., Mechano-mathematical modelling and numerical analysis of underground structures subjected to seismic excitations, Ph.D. Thesis, Sofia, 1986.
(Adviser: Prof. Dr.Sc. Ts. P. Ivanov)

Angelov, T.A., An analysis of underground structures subjected to seismic excitations, M.Sc. Thesis, Sofia, 1981.
(Adviser: Prof. Dr.Sc. Ts. P. Ivanov)

 

Modified date:20-03-2016