Konstantinos Soldatos

Contact

• workRoom C50 Mathematical Sciences
  University Park
  Nottingham
  NG7 2RD
  UK
• work0115 9513843
• fax0115 9513837
• kostas.soldatos@nottingham.ac.uk

Research Summary

Research interests are in the field of Theoretical Solid Mechanics, with contributions in the area of three- and two-dimensional modelling and analysis of homogeneous and laminated anisotropic… read more

Selected Publications

• SOLDATOS, K.P., 2012. On loss of ellipticity in second-gradient hyper-elasticity of fibre-reinforced materials International Journal of Non-Linear Mechanics. 47(2), 117-127
• SOLDATOS, K.P., 2011. The bimodal theory of plasticity: a form-invariant generalisation Journal of the Mechanics and Physics of Solids. 59(8), 1576-1595
• SOLDATOS, K.P., 2010. Second-gradient plane deformations of ideal fibre-reinforced materials II: forming flows of fibre–resin systems when fibres resist bending Journal of Engineering Mathematics. 68(2), 179-196
• SOLDATOS, K.P., 2009. Towards a new generation of 2D mathematical models in the mechanics of thin-walled fibre-reinforced structural components International Journal of Engineering Science. 47, 1346-1356

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Current Research

Research interests are in the field of Theoretical Solid Mechanics, with contributions in the area of three- and two-dimensional modelling and analysis of homogeneous and laminated anisotropic composite structures and structural components (elastic beams,

Future Research

The manner has been recently found to merge together the two-dimensional laminated models described above with certain exact three-dimensional elasticity solutions, including the ones achieved by means of the aforementioned successive approximation approa

• DAGHER, MA and SOLDATOS, KP, 2013. Area-preserving azimuthal shear deformation of an incompressible isotropic hyper-elastic tube. Journal of Engineering Mathematics. 78(1), 131-142
• SOLDATOS, K.P., 2013. Polar plasticity of thin-walled composites made of ideal fibre-reinforced material International Journal of Solids and Structures. 50(7-8), 1078-1092
• SOLDATOS, K.P., 2013. Foundation of polar linear elasticity for fibre-reinforced materials Journal of Elasticity.
• SOLDATOS, K.P., 2013. Modelling framework for mass-growth. Mechanics Research Communications. 50, 50-57
• SOLDATOS, K.P., 2012. On loss of ellipticity in second-gradient hyper-elasticity of fibre-reinforced materials International Journal of Non-Linear Mechanics. 47(2), 117-127
• SOLDATOS, K.P., 2011. The bimodal theory of plasticity: a form-invariant generalisation Journal of the Mechanics and Physics of Solids. 59(8), 1576-1595
• DAGHER, M.A. and SOLDATOS, K.P., 2011. On small azimuthal shear deformation of fibre-reinforced cylindrical tubes Journal of Mechanics of Materials and Structures. 6(1-4), 141-168
• SOLDATOS, K.P., 2010. Second-gradient plane deformations of ideal fibre-reinforced materials II: forming flows of fibre–resin systems when fibres resist bending Journal of Engineering Mathematics. 68(2), 179-196
• SOLDATOS, K.P., 2010. Second-gradient plane deformations of ideal fibre-reinforced materials: implications of hyper-elasticity theory Journal of Engineering Mathematics. 68(1), 99-127
• SOLDATOS, K.P. and OGDEN, R.W., 2010. Mechanics of fibre-reinforced materials: Theory and Applications: Preface Journal of Engineering Mathematics. 68(1), 1-4
• SELVADURAI, A.P.S., RAJAGOPAL, K.R. and SOLDATOS, K.P., 2009. "Mechanics, Mathematics and Materials" In Memoriam, AJM Spencer FRS (23rd August 1929-26th January 2008), Emeritus Professor of Theoretical Mechanics, University of Nottingham, UK: In Memoriam, AJM Spencer FRS INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE. 47(11-12), 1055-1056
• SOLDATOS, K.P., 2009. Towards a new generation of 2D mathematical models in the mechanics of thin-walled fibre-reinforced structural components International Journal of Engineering Science. 47, 1346-1356
• SOLDATOS, K.P., 2009. Azimuthal shear deformation of an ideal fibre-reinforced tube according to a second gradient hyper-elasticity theory In: 7th Euromech Solid Mechanics Conference - ESMC2009. ID: 0017, Session: GS-CM - Continuum Mechanics.
• SOLDATOS, K.P., 2008. On universal relations in orthotropic material subclasses International Journal of Engineering Science. 46, 306-324
• LIU, S. and SOLDATOS, K.P., 2008. Extension of a new approach towards accurate stress analysis of laminates subjected to thermomechanical loading Journal of Engineering Mathematics. 61(2-4), 185-200
• SOLDATOS, K.P., 2007. On stability and non-uniqueness of the dilatation states of a compressible isotropic cube subjected to dead loading International Journal of Non-linear Mechanics. 42(2), 271-282
• SPENCER, A.J.M. and SOLDATOS, K.P., 2007. Finite deformations of fibre-reinforced elastic solids with fibre bending stiffness International Journal of Non-Linear Mechanics. 42(2), 355-368
• SOLDATOS, K.P., 2006. On the stability of a compressible Rivlins cube made of transversely isotropic material IMA Journal of Applied Mathematics. VOL 71(NUMBER 3), 332-353
• SOLDATOS, K.P., 2006. General solutions for the statics of anisotropic, transversely inhomogeneous elastic plates in terms of complex functions. Mathematics and Mechanics of Solids. 11(6), 596-628
• SOLDATOS, K.P., 2004. Complex potential formalisms for bending of inhomogeneous monoclinic plates including transverse shear deformation Journal of the Mechanics and Physics of Solids. VOL 52(NUMBER 2), 341-357
• LIU, S. and SOLDATOS, K. P., 2003. Further assessment of a generalized plate model: stress analysis of angle-ply laminates International Journal of Solids and Structures. VOL 40(NUMBER 16), 4125-4133
• SOLDATOS, K.P. and LIU, S., 2003. On accurate prediction of stress distributions in laminates subjected to thermo-mechanical loading In: Proceedings of 5th Congress on Thermal Stresses and Related Topics.
• SHUVALOV, A. L. and SOLDATOS, K. P., 2003. On the successive approximation method for three-dimensional analysis of radially inhomogeneous tubes with an arbitrary cylindrical anisotropy Journal of Sound and Vibration. VOL 259(PART 1), 233-239
• SOLDATOS, K.P., 2003. Accurate stress analysis of laminated composite structures. In: ALTENBACH, H. and BECKER, W., eds., Modern Trends in Composite Laminates Mechanics Vienna: Springer-Verlag. 69-132
• TSAKLIDIS, G. and SOLDATOS, K. P., 2003. Modeling of continuous time homogeneous Markov system with fixed size as elastic solid: the two-dimensional case Applied Mathematical Modelling. VOL 27(NUMBER 11), 877-887
• LIU, S. and SOLDATOS, K. P., 2002. On the prediction improvement of transverse stress distributions in cross-ply laminated beams: advanced versus conventional beam modelling International Journal of Mechanical Sciences. VOL 44(NUMBER 2), 287-304
• SOLDATOS, K.P. and SHU, X., 2002. Improving the efficiency of finite element formulations in laminated composites Communications in Numerical Methods in Engineering. 18(9), 605-613
• MESSINA, A. and SOLDATOS, K. P., 2002. A general vibration model of angle-ply laminated plates that accounts for the continuity of interlaminar stresses International Journal of Solids and Structures. VOL 39(NUMBER 3), 617-635
• SOLDATOS, K. P. and SOPHOCLEOUS, C., 2001. On shear deformable beam theories: the frequency and normal mode equations of the homogeneous orthotropic Bickford beam Journal of Sound and Vibration. VOL 242(PART 2), 215-246
• SOLDATOS, K. P. and SHU, X., 2001. Modelling of perfectly and weakly bonded laminated plates and shallow shells Composites Science and Technology. VOL 61(NUMBER 2), 247-260
• SHU, X. and SOLDATOS, K. P., 2001. An accurate de-lamination model for weakly bonded laminates subjected to different sets of edge boundary conditions International Journal of Mechanical Sciences. VOL 43(NUMBER 4), 935-959
• SOLDATOS, K.P. and MESSINA, A., 2001. The influence of boundary conditions and transverse shear on the vibration of angle-ply laminated plates, circular cylinders and cylindrical panels Computer Methods in Applied Mechanics and Engineering. VOL 190(NUMBER 18-19), 2385-2409
• SHU, X. and SOLDATOS, K. P., 2001. An accurate stress analysis model for angle-ply laminates with weakly bonded layers Acta Mechanica. VOL 150(PART 3/4), 161-178
• TSAKLIDIS, G. and SOLDATOS, K.P., 2001. The continuous time homogeneous Markov system with fixed size as a linearly elastic continuum In: Proc. 6th Nat. Congr. Mech..
• SOPHOCLEOUS, C. and SOLDATOS, K.P., 2001. The frequency and normal mode equations of the modified Bickford beam theory In: Proc. 6th Nat. Congr. Mech..
• SOLDATOS, K. P., 2000. Comments on "Accurate Equations of Laminated Composite Deep Thick Shells", Int. J. Solids Structures Vol. 36, No. 19, pp. 2917-2941 (1999) by M.S. Qatu International Journal of Solids and Structures. VOL 37(NUMBER 29), 4033-4035
• SOLDATOS, K. P. and LIU, S. L., 2000. On "The generalised plane strain deformations of thick anisotropic composite laminated plates" International Journal of Solids and Structures. VOL 38(NUMBER 3), 479-482
• TIMARCI, T. and SOLDATOS, K. P., 2000. Vibrations of angle-ply laminated circular cylindrical shells subjected to different sets of edge boundary conditions Journal of Engineering Mathematics. VOL 37(PART 1/3), 211-230
• SHU, X. P. and SOLDATOS, K. P., 2000. Cylindrical bending of angle-ply laminates subjected to different sets of edge boundary conditions International Journal of Solids and Structures. VOL 37(NUMBER 31), 4289-4307
• MESSINA, A. and SOLDATOS, K.P., 1999. Application of the Ritz method for the vibration of symetric laminates by different functional bases In: 2nd Int. Conf. Ident. Engng Syst..
• SOLDATOS, K.P. and SHU, X., 1999. On the stress analysis of cross-ply laminated plates and shallow shell panels Composite Structures. VOL 46(NUMBER 4), 333-344
• MESSINA, A. and SOLDATOS, K. P., 1999. Ritz-type dynamic analysis of cross-ply laminated circular cylinders subjected to different boundary conditions Journal of Sound and Vibration. VOL 227(NUMBER 4), 749-768
• MESSINA, A. and SOLDATOS, K. P., 1999. Vibration of completely free composite plates and cylindrical shell panels by a higher-order theory International Journal of Mechanical Sciences. VOL 41(NUMBER 8), 891-918
• MESSINA, A. and SOLDATOS, K. P., 1999. Influence of edge boundary conditions on the free vibrations of cross-ply laminated circular cylindrical panels Acoustical Society of America. Journal. VOL 106(NUMB 5), 2608-2620
• SOLDATOS, K. P., 1999. Mechanics of cylindrical shells with non-circluar cross-section - A survey Applied Mechanics Reviews. VOL 52(NUMBER 8), 237-274
• SOLDATOS, K. P. and MESSINA, A., 1998. Vibration studies of cross-ply laminated shear deformable circular cylinders on the basis of orthogonal polynomials Journal of Sound and Vibration. VOL 218(NUMBER 2), 219-244
• SOLDATOS, K.P., 1997. Reflections on fifty years Applied Mechanics Reviews. 50, T11-T12
• SOLDATOS, K. P. and WATSON, P., 1997. A method for improving the stress analysis performance of one- and two- dimensional theories for laminated composites Acta Mechanica. VOL 123(NUMBER 1/4), 163-186
• SOLDATOS, K.P. and WATSON, P., 1997. Accurate stress analysis of laminated plates combining a two-dimensional theory with the exact three-dimensional solution for simply supported edges Mathematics and Mechanics of Solids. 2, 459-489
• SOLDATOS, K.P. and WATSON, P., 1997. A general four-degrees-of-freedom theory suitable for the accurate stress analysis of homogeneous and laminated composite beams International Journal of Solids and Structures. 34, 2857-2885
• SOLDATOS, K.P., 1997. Some comments on an asymptotic theory for dynamic response of doubly curved laminated shells International Journal of Solids and Structures. 34, 3903-3905
• YE, J. Q. and SOLDATOS, K. P., 1997. Three-Dimensional Vibrations of Cross-ply Laminated Hollow Cylinders With Clamped Edge Boundaries Journal of Vibration and Acoustics. American Society of Mechanical Engineers. VOL 119(NUMBER 3), 317-323
• YE, J. and SOLDATOS, K. P., 1996. Three-dimensional vibration of laminated composite plates and cylindrical panels with arbitrarily located lateral surfaces point supports International Journal of Mechanical Sciences. VOL 38(NUMBER 3), 271-282
• YE, J.Q. and SOLDATOS, K.P., 1996. Axisymmetric vibration analysis of laminated hollow spheres composed of transversely isotropic layers In: Proc. ESDA '96. 161-169