On the bending and tension of thermoelastic shells undergoing phase transitions

Victor A. Eremeyev (1, 2) , Wojciech Pietraszkiewicz (1)

1 IMP - Szewalski Institute of Fluid-Flow Machinery [Gdańsk]
2 SFEDU - Southern Federal University [Rostov-on-Don]

Applying the general non-linear theory of shells undergoing phase transitions, we derive the balance equations along the singular surface curve modelling the phase interface in the shell. From the integral forms of balance laws of linear momentum, angular momentum, and energy as well as the entropy inequality we obtain the local static balance equations along the curvilinear phase interface. We also derive the thermodynamic condition allowing one to determine the interface position on the deformed shell midsurface. The theoretical model is illustrated by the example of thin circular cylindrical shell made of two-phase material subjected to tensile forces and bending couples at the shell boundary. The elastic solution reveals the existence of the hysteresis loop whose size depends upon values of several loading parameters.

Domaines: Mécanique [physics.med-ph]

Victor A. Eremeyev, Wojciech Pietraszkiewicz. On the bending and tension of thermoelastic shells undergoing phase transitions. PAMM, 2009, 9 (1), pp.305-306. ⟨hal-00835654⟩