Internal Pressure-Stressing and Forming

Internal Pressure-Stressing and Forming

I. Doltsinis

Faculty of Aerospace Engineering and Geodesy, University of Stuttgart, Stuttgart, Germany

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Internal pressure as a loading mode concerns numerous engineering applications and technological processes. The present account deals with the material, the continuum, and the structural level. In addition to the stressing aspect, internal pressure is considered as the driving force in certain metal forming operations. The presentation of the subject bases on established solutions, less known results and technological applications.


containers, forming operations, porous solids, shells


[1] Biot, M.A., General theory of three-dimensional consolidation. Journal of Applied Physics, 12, pp. 155–164, 1941. doi:

[2] Doltsinis, I. & Osterstock, F., Modelling and experimentation on the strength of porous ceramics. Archives of Computational Methods in Engineering, 12, pp. 303–336, 2005. doi:

[3] Doltsinis, I., Stochastic Methods in Engineering, WIT Press: Southampton, Boston, 2012.

[4] Doltsinis, I. & Dattke, R., Modelling the damage of porous ceramics under internal pressure. Computer Methods in Applied Mechanics and Engineering, 199, pp. 29–46, 2001. doi:

[5] Kolosov, G.V., On the Application of Complex Function Theory to a Plane Problem of the Mathematical Theory of Elasticity, (Orig. Russian), Doctoral Thesis, University of Yuriew, Yuriew Publ. Co., 1909.

[6] Muskhelishvili, N.I., Some Basic Problems of the Mathematical Theory of Elasticity, Noordhoff: Groningen, 1953.

[7] Stevenson, A.C., Complex potentials in two-dimensional elasticity. Proc. R. Soc. A,184, pp. 129–179, 1945.

[8] Savin, G.N., Stress Concentration Around Holes, Pergamon Press: Oxford, 1961.

[9] Berezhnitskii, L.T., Propagation of cracks terminating at the edge of a curvilinear hole in a plate. Soviet Materials Science, 2, pp. 12–23, 1966.

[10] Flügge, W., Stresses in Shells, Springer: Berlin, 1960. doi:

[11] Doltsinis, I., Elements of Plasticity - Theory and Computation, WIT Press: Southampton, Boston, 2000. 2nd edn., 2010.

[12] Greiner, S., Membrantragwerke aus dünnem Blech, Werner-Verlag: Düsseldorf, 1983.

[13] Argyris, J., Doltsinis, I. & Willam, K., New developments in the inelastic analysis of quasistatic and dynamic problems. International Journal for Numerical Methods in Engineering, 14, pp. 1813–1850, 1979. doi:

[14] Argyris, J. & Doltsinis, I., A primer on superplasticity in natural formulation. Computer Methods in Applied Mechanics and Engineering, 46, pp. 83–131, 1984. doi:

[15] Doltsinis, I., Large Deformation Processes of Solids - From Fundamentals to Numerical Simulation and Engineering Applications, WIT Press: Southampton, Boston, 2004.