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Effect of thermal gradients on stress/strain distributions in a thin circular symmetric plate
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 Title & Authors
Effect of thermal gradients on stress/strain distributions in a thin circular symmetric plate
Aleksandrova, Nelli N.;
The analysis of thermally induced stresses in engineering structures is a very important and necessary task with respect to design and modeling of pressurized containers, heat exchangers, aircrafts segments, etc. to prevent them from failure and improve working conditions. So, the purpose of this study is to investigate elasto-plastic thermal stresses and deformations in a thin annular plate embedded into rigid container. To this end, analytical research devoted to mathematically and physically rigorous stress/strain analysis is performed. In order to evaluate the effect of logarithmic thermal gradients, commonly applied to structures which incorporate thin plate geometries, different thermal parameters such as temperature mismatch and varying constraint temperature were introduced into the model of elastic perfectly-plastic annular plate obeying the von Mises yield criterion with its associated flow rule. The results obtained may be used in sensitive to temperature differences aircraft structures where the thermal effects on equipment must be kept in mind.
logarithmic thermal gradient;plane stress;perfect plasticity;analytical solution;
 Cited by
Aleksandrova, N. (2015), "Engineering stress solutions for bolted and pressurized steel structures", Struct., 1, 60-66. crossref(new window)

Alexandrov, S. (2015), Elastic/Plastic Discs Under Plane Stress Conditions, Springer Briefs in Computational Mechanics, Springer International Publishing.

Alexandrov, S. and Alexandrova, N. (2001), "Thermal effects on the development of plastic zones in thin axisymmetric plates", J. Strain. Anal., 36(2), 169-176. crossref(new window)

Alexandrov, S. and Pham, C. (2014), "Plastic collapse mechanism in thin disks subject to thermomechanical loading", Asia Pacific J. on Comput. Eng., 1, 7. crossref(new window)

Alexandrov, S., Wang, Y.C. and Aizikovich, S. (2014), "Effect of temperature-dependent mechanical properties of plastic collapse of thin discs", Proc. IMechE Part C. J. Mechanical Engineering Science, 228(14), 2483-2487. crossref(new window)

Bland, D.R. (1956), "Elastoplastic thick-walled tubes of work-hardening material subject to internal and external pressures and to temperature gradients", J. Mech. Phys. Solid., 4, 209-229. crossref(new window)

Chakrabarty, J. (2006), Theory of plasticity, 3rd Edition, Elsevier Butterworth-Heinemann.

Eraslan, A.N. and Apatay, T. (2008), "Analytical solution of nonlinear strain hardening preheated pressure tube", Turkish J. Eng. Env. Sci., 32, 41-50.

Harvey, J.F. (1985), Theory and Design of Pressure Vessels, Van Nostrand Reinhold Company Inc., New York.

Sen, F. and Sayer, M. (2006), "Elasto-plastic thermal stress analysis in a thermoplastic composite disc under uniform temperature using FEM", Math. Comput. Appl., 11(1), 31-39.

Szuwalski, K. (1990), "Decohesive carrying capacity in perfect and asymptotically perfect plasticity", Mechanika Teoretyczna I Stosowana, 28(1-2), 243-254.

Timoshenko, S.P. and Goodier, J.N. (1970), Theory of Elasticity, 3rd Edition, McGraw-Hill, New York.

Ugural, A.C. and Fenster, S.K. (2012), Advanced Mechanics of Materials and Applied Elasticity, 5th Edition, Prentice Hall, New York.

Ventsel, E. and Krauthammer, T. (2001), Thin Plates and Shells: theory, analysis, and applications, Marcel Dekker, New York.

Vullo, V. (2014), Circular Cylinders and Pressure Vessels: Stress Analysis and Design, Springer Series in Solid and Structural Mechanics, Vol. 3, Springer International Publishing.

Zabaras, N., Mukherjee, S. and Arthur, W.R. (1987), "A numerical and experimental study of quenching of circular cylinders", J. Therm. Stress., 10, 177-191. crossref(new window)

Zhu, X.K. and Chao, Y.J. (2002), "Effects of temperature-dependent material properties on welding simulation", Comput. Struct., 80, 967-976. crossref(new window)