Mathematical modelling of thermoelasticity problems for thin biperiodic cylindrical shells

Abstract The objects of consideration are thin linearly thermoelastic Kirchhoff-Love-type circular cylindrical shells having a periodically microheterogeneous structure in circumferential and axial directions ( biperiodic ). aim this contribution is to formulate discuss two new averaged mathematical models for the analysis selected dynamic thermoelasticity problems under consideration: non-asymptotic tolerance consistent asymptotic . starting equations well-known governing linear Kirchhoff-Love theory elastic combined with Duhamel–Neumann constitutive relations coupled known linearized Fourier heat conduction equation which sources neglected. For microperiodic consideration, mentioned above have highly oscillating, non-continuous periodic coefficients. model derived applying averaging technique certain extension stationary action principle It has constant coefficients depending also on cell size. Hence, makes it possible study effect microstructure size global shell length-scale obtained using approach being independent period lengths. Moreover, comparison between proposed here direction only uniperiodic ) presented.