Heating and cooling effects generated by the dynamic stresses of cracked interfaces and layers in laminated composites

The temperature field generated by the sudden application of a far-field mechanical loading of a periodically layered composite with an interfacial crack or with a cracked layer parallel to the interfaces is determined. As a result of the crack’s existence, the periodicities of the structure and the thermoelastic field are lost. The complexity of the resulting problem is resolved by the combined application of the representative cell method and the full (two-way) dynamic thermomechanical equations. In the former analysis, due to the loss of periodicity the dynamic thermoelastic Green’s functions are generated, in conjunction with the double finite discrete Fourier transform. In the latter one, the transformed displacements and temperature are expressed by second-order expansions and the strong-form of the elastodynamic and energy equations together with the various interfacial and the so called Born–von Karman boundary conditions are imposed in the average sense (in the transform domain). The results exhibit the induced temperature field at any point in the plane of the crack. The generated temperature fields show the cooling and heating zones in both Mode I and Mode II deformations. In addition, the adiabatic assumption (according to which the heat conduction is a priori ignored) is assessed by comparing the computed temperature field with the corresponding one based on the full thermomechanical coupling.