Reference Work Entry

Encyclopedia of Thermal Stresses

pp 3667-3673

Phase Transitions in Thermoviscoelastic Shells

  • Victor A. EremeyevAffiliated withOtto–von–Guericke University MagdeburgSouth Scientific Center of RASci and South Federal University Email author 
  • , Wojciech PietraszkiewiczAffiliated withInstitute of Fluid-Flow Machinery, Polish Academy of Sciences


A phase transition is the transformation of a thermodynamic system from one state of matter to another. In shell structures it consists primarily of a diffusionless displacive change of the material lattice. Such phase transition process can usually be induced by changing the temperature or by applying an external stress. Experiments indicate that the new solid phase nucleates in narrow regions across which large changes occur in some material properties. Thus, the two-phase shell can be regarded as a deformable material surface consisting of two material phases divided by a movable nonmaterial surface curve.


The interest in thin-walled structures undergoing phase transitions (PT) grows recently from their prospective applications in engineering. As examples of such structures, martensitic films and biological membranes can be considered. The stress- and temperature-induced PT are widely observed in thin-walled structures made of superelastic shape me ...

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