List of Publications:
Yu. Egorov, T. Rangelov, A class of pseudodifferential equations, with double characteristics, that have no solution, Uspehi Mat. Nauk, 32:1,185-186, 1977 (in Russian).
Yu. Egorov, T. Rangelov, A class of pseudodifferential equations with multiple characteristics,Trudy Sem. Petrovsk., 3, 43-48, 1978 (in Russian).
T. Rangelov, An a priory estimate and hypoellipticity of a certain class of pseudodifferential operators with multiple characteristics, Vestnik Moskov.Univ.Ser I Mat. Mekh., 1, 12-20, 1979 (in Russian).
Yu. Egorov, T. Rangelov, On a class of pseudodifferential equations with double characteristics, Amer. Math. Soc. Transl. Ser.2,118,185-190, 1982.
T. Rangelov, Existence of the wave operators for dissipative hyperbolic systems in the exterior of moving obstacle, C.R.Acad.Bulg.Sci., 35:5, 581-583, 1982.
M. Marinov , T. Rangelov, On the support of the solutions of some degenerate nonlinear parabolic equations, C.R.Acad.Bulg.Sci.,37:3, 281-282, 1984 .
T. Rangelov, Existence of wave operators for dissipative hyperbolic systems in the exterior of moving body, Serdica, 10:1, 174-183, 1984 (in Russian).
M. Marinov , T. Rangelov, Estimates on the support of the solutions for some degenerate nonlinear parabolic equations, C.R.Acad.Bulg.Sci.,39:4, 17-19, 1986 .
M. Marinov , T. Rangelov, Estimates for the supports of solutions of a class of degenerate nonlinear parabolic equations, Serdica,12:1, 30-37, 1986 (in Russian) .
1987 - 1996
L. Hadjikov , P.Dineva , T. Rangelov, On the analysis of the dynamic soil-structure intraction by a hybrid method (SH-waves), Proc. Int. Conf. BEM in Engn, Beijing, 759-765, 1986.
A. Fabricant, M. Marinov , T. Rangelov, On the estimates on the initial trace of solutions of filtration equation, C.R.Acad.Bulg.Sci.,40:2, 25-27,1987 .
V. Petkov , T. Rangelov, Leading singularity of the scattering kernel for moving obstacles, C.R.Acad.Bulg.Sci., 40:12, 5-7, 1987 .
L. Hadjikov , P.Dineva , T. Rangelov, Nonelstic soil-structure interaction by BE and FE methods, Trans. 9 Int. Conf. SMiRT, 1149-1153, 1987.
G. Popov , T. Rangelov , On the exponential growth of the local energy for moving bodies,C.R.Acad.Bulg.Sci.,40:8, 21-23, 1987 .
A. Fabricant, M. Marinov , T. Rangelov, Estimates on the initial trace for the solutions of the filtration equation, Serdica, 14, 245 257, 1988 .
G. Popov ,T. Rangelov , The exponential growth of the local energy for moving obstacle, Osaka Math. J. 26:4, 881 895, 1989 .
A. Fabricant, M. Marinov , T. Rangelov, Properties of solutions of non-linear filtration equations, C.R.Acad.Bulg.Sci., 42:7, 15 18, 1989 .
V. Petkov , T. Rangelov, Leading singularity of the scattering kernel for moving obstacles, Mathematica Balkanica, 4:1, 48 65, 1990 .
A. Fabricant, M. Marinov , T. Rangelov, Regularizing effect for non-linear filtration equations, C.R.Acad.Bulg.Sci., 44:12, 9 11, 1991 .
L. Hadjikov , P.Dineva , T. Rangelov, On the soliution of the problem of seismic wave propagation in a multilayered nonelastic region by the BEM, Soil Dynamics and Earthquake Eng. 10:6, 323 329, 1991.
T. Rangelov, Linear Algebra, Burgas Univ. Press, 1992. (textbook in Bulgarian)
A. Fabricant, M. Marinov , T. Rangelov, Some properties of degenerate parabolic equations, Mathematica Balkanica, 8:1, 59 73, 1994 .
T. Rangelov, Differential Equations, Burgas Free Univ., 1995 (preprint, textbook in Bulgarian).
P. Dineva , T. Rangelov, Dynamic behavior of a centrally cracked rectangular plate under uniform tome-harmonic tension, C.R.Acad.Bulg.Sci., 49:9-10, 43 46, 1996.
1997 - 2002
P. Dineva , T. Rangelov, BIEM for calculation of SIF in a solder joint, C.R.Acad.Bulg.Sci., 50:6, 19 22, 1997.
P. Dineva , D. Gross , T. Rangelov, Evaluation of scattered wave and stress concentration field in a damaged solder joint, Journal of Sound and Vibration,223:2, 213-230, 1999.
P. Dineva , D. Gross , T. Rangelov , Ultrasomic wave scattering by a line crack in a solder joint, Res. Nondestr. Eval.,11, 117-135, 1999.
A. Fabricant, M. Marinov , T. Rangelov , Estimates for parabolic equations, C.R.Acad.Bulg.Sci., 53:7, 31-34, 2000 .
T. Rangelov , P.Dineva, Numerical solution of integro-differential equations for a finite elastic cracked bodies, C.R.Acad.Bulg.Sci., 53:9, 31-34, 2000.
P. Dineva , T. Rangelov, Modelling of the debonding effect of the base Cu-layer in a solder joint, C.R.Acad.Bulg.Sci., 53:12, 23-26, 2000.
A. Fabricant, M. Marinov , T. Rangelov , Estimates for nonlinear parabolic equations, Math. Balkanica, 14, 3-4, 361-386, 2000.
P. Dineva , D. Gross , T. Rangelov, Dynamic behaviour of a bi-material rectangular plate with interface cracks under uniform time-harmonic tension, Engeneering Fracture Mechanics, 69:11,1193-1218, 2002.
P. Dineva, D. Gross, T. Rangelov, Dynamic behaviour of a cracked solder joint, Journal of Sound and Vibration, 256:1, 81-102, 2002.
T. Rangelov , P.Dineva, Inverse scattering problems in cracked elastic plane, C.R. Acad. Bulg. Sci., 55:1, 19-22, 2002.
A. Fabricant, T. Rangelov, One dimensional doubly nonlinear degenerate parabolic equations, C.R.Acad.Bulg.Sci., C.R. Acad. Bulg. Sci., 55:3, 5-8, 2002
G. Manolis, T. Rangelov, R. Shaw, Conformal mapping methods for variable parameter elastodynamics, Wave Motion, 36:2, 185-202, 2002.
T. Rangelov , P.Dineva, Inverse scattering by cracks in elastic plane, Nonsmooth/Nonconvex Mechanics with Appl. In Eng., edd. C.C. Baniotopoulos, Thessaloniki, July 2002, 233-240
T. Rangelov , G. Manolis, Fundamental solutions for variable density elastodynamics, Nonsmooth/Nonconvex Mechanics with Appl. In Eng., edd. C.C. Baniotopoulos, Thessaloniki, July 2002, 275-282.
T. Rangelov , G. Manolis, On the existence of fundamental solutions for variable density elastodynamics, Boundary Element Communications, 13:2, 3-11, 2002.
2003 - 2005
T. Rangelov, P.Dineva, D. Gross, A hyper-singular traction boundary integral equation method for stress intensity factor computation in a finite cracked body, Engng. Anal BE, 27:1, 9-21, 2003.
A.Fabricant, T. Rangelov, Cauchy problem for nonlinear degenerate parabolic equations in one dimension, Math. Balkanica, 17, 1-2, 71-92, 2003.
T.Rangelov, P.Dineva, D. Gross , Inverse scattering by line crack in elastic solid, Inverse Problems in Engineering, 11:2, 141-155, 2003.
T.Rangelov, Wave scattering from a line crack in an elasto-anisotropic solid, C. R. Acad. Sci. Bulg, 56:4, 11-14, 2003.
T.Rangelov, Scattering from cracks in an elasto-anisotropic solid, Theor. and Appl. Mech., 33:2, 55-72, 2003.
G. Manolis, T. Rangelov, R. Shaw, The non-homogeneous biharmonic plate equation: fundamental solutions, International Journal of Solids and Structures, 40, 5753-5767, 2003.
A.Fabricant, N. Kutev, T. Rangelov, On principal eigenvalue for linear second order elliptic equations in divergence form, Pliska Stud. Math. Bulgar. 15, 161-170, 2003.
T. Rangelov, P. Dineva, Scattering in a line crack in piezoelectric solid, C. R. Acad. Sci. Bulg, 57:3, 17-22, 2004.
P. Dineva, G. Manolis, T. Rangelov, Transient seismic wave propagation in a multilayered cracked geological region, Journal of Sound and Vibration, 273:1-2, 1-32, 2004.
G. Manolis, P. Dineva, T.Rangelov, Wave scattering by cracks in inhomogeneous continua using BIEM, International Journal of Solids and Structures, 41:14, 3905-3927, 2004.
P. Dienva, G. Manolis, T. Rangelov, Transient seismic wave motion in a cracked multi-layered geological region, In: C.A. Brebbia (Edd.), BEM XXVI, International Conference, Bologna, Italy, April 19-21, WIT Press, Southampton, 455-464, 2004.
D. Gross, P. Dineva, T. Rangelov, BIEM for cracked piezoelectric solids under dymnamic load. In: Z.H.Yao, M.W.Yuan, W.X.Zhong (Edds), WCCM VI in conjunction with APCOM04, September 5-10, Tsingua University Press & Springer Verlag, Beijing, China, 2004.
A.Fabricant, N. Kutev, T. Rangelov, On principal eigenvalue for linear second order elliptic equations in divergence form, C. R. Acad. Sci. Bulg, 58:1, 5-8, 2005.
P. Dineva, T. Rangelov, D.Gross, BIEM for 2D steady-state problems in cracked anisotropic materials, Engng. Anal. BE, vol. 29, N7, 689-698, 2005.
D. Gross, T.Rangelov, P. Dineva, 2D wave scattering by a crack in a piezoelectric plane using traction BIEM, Journ. of Str. Integrity & Durability, vol 1, N 1, 35-47, 2005.
G. Manolis, P. Dineva, T.Rangelov, Seismic Wave Scattering by Inhomogeneous Geological Deposits with Cracks, In: C.A.Brebbia, D.E.Beskos, G.D.Manolis, C.C.Spyrakos (Edds.) Proceedins of the 5th International Conference on Earthquake Resistant Engineering Structures (ERES05), Skiathos Island, Greece, May 30-June 1, 3-12, 2005.
G. Manolis, T. Rangelov, P.Dineva, Elastodynamic Fundamental Solutions for 2D Inhomogeneous Anisotropic Domains,In: G. Georgiou, P. Papanastasiou (Edds.) Proceedings of the 5th GRACM Congress on Computational Mechanics, Limassol, Cyprus, June 29-July 1, 471-478, 2005.
T. Rangelov, G. Manolis, P.Dineva, Elastodynamic fundamental solutions for certain families of 2d inhomogeneous anisotropic domains: basic derivations, European Journal of Machanics A/Solids 24 820-836, 2005.
T. Rangelov, P.Dineva, Stedy-state plane wave propagation in inhomogeneous 3D media, J. Theoret. Appl. Mech., v.35:3, 15-31, 2005.
2006 - 2009
G. Manolis, T. Rangelov, Non-homogeneous elastic waves in solid: notes on the vector decomposition technique, Soil Dyn. Earthq. Engn, v.26, 952-959, 2006.
P.Dineva, G. Manolis, T. Rangelov, Sub-surface crack in an inhomogeneous half-plane: wave scattering fenomena by BIEM. Engn. Anal BE, v. 30, 350-362, 2006.
P. Dineva, D. Gross, T.Rangelov, Wave scattering in a cracked piezoelectric materials a BIEM approach. J. Theoret. Appl. Mech., v.36:2, 65-88, 2006.
Dineva, P., Gross, D., Rangelov, T. Dynamic interaction of cracks in piezoelectric materials, In Schanz et al.(Eds), Book of Abstracts, IABEM 2006 Conference, July 10-12, 2006, Gratz, Austria. Verlag der TU Gratz, Austria, pp. 221-224, 2006
P.Dineva, T. Rangelov, Three-dimensional analysis of ground motion in a finite geological region saturated in an inhomogeneous half-space, C. R. Acad. Sci. Bulg, 59:4, 387-392, 2006.
P.Dineva, T. Rangelov, G. Manolis, Elastic wave propagation in a class of cracked, functionally graded materials by BIEM, Comput. Mech., Comput. Mech., 39, 293-308, 2007.
G. Manolis, T. Rangelov, P. Dineva, Free-field wave solutions in a half-plane exhibiting a special type of continuous inhomogeneity, Wave Motion, 44, 304-321, 2007.
D. Gross, P. Dineva, T.Rangelov, BIEM solution of piezoelectric cracked finite solids under time-harmonic loading, Engng. Anal. BE, 31, 152-162, 2007.
T. Rangelov, P.Dineva, Dynamic behaviour of a cracked inhomogeneous piezoelectric solid. Part I: in-plane case, C. R. Acad. Sci. Bulg, 60:2, 141-148, 2007.
T. Rangelov, P.Dineva, Dynamic behaviour of a cracked inhomogeneous piezoelectric solid. Part II: anti-plane case, C. R. Acad. Sci. Bulg, 60:3, 231-238, 2007.
A. Fabricant, N. Kutev, T. Rangelov, The asymptotic behaviour of the first eigenvalue of linear second-order elliptic equations in divergence form, Serdica, Mathematical Journal., 34:1, 47-58, 2007.
A. Fabricant, N. Kutev, T. Rangelov, On the first eigenvalue for second order elliptic equations in divergence form, Cubo. A Mathematical Journal, v.9:3, 47-64, 2007.
T. Rangelov, P.Dineva, D. Gross, Effect of material inhomogeneity on the dynamic behaviour of cracked piezoelectric solids: a BIEM approach, Z. Angew. Math. Mech., v. 88:2, 86-99, 2008.
P. Dineva, G. Manolis, T. Rangelov, Site effect due to wave path inhomogeneity by BEM, Engng. Anal. BE, 32, 1025-1036, 2008.
P. Dineva, D. Gross, T. Rangelov, Dynamic interaction of cracks in piezoelectric and anisotropic solids: a non-hypersingular BIEM approach, Thoret. Appl. Mech, 35:1-3, 73-91, Belgrade 2008.
Y. Stoynov, T. Rangelov, Time-harmonic behaviour of anti-plane ctacks in inhomogeneous magnetoelectroelastic solid, Compt. Rend. Acad.Bulg. Sci., 62:2,175-186, 2008.
T. Rangelov, P.Dineva, Wave Propagation in the Anisotropic Inhomogeneous Half-Plane, In Proceedings of the NATO. Advanced Research Workshop on Coupled Site and SoilStructure Interaction Effects with Application to Seismic Risk Mitigation, Borovets, Bulgaria,30 August 3 September 2008, eds. T.Schanz and R. Yankov , Springer, The Netherlands, pp.43-52, 2009.
G.D. Manolis, T.V. Rangelov, P.S. Dineva, Free-field dynamic response of an inhomogeneous half-plane, Archive of Applied Mechanics, 79, 595-603, 2009.