Green's function for thin plate with elliptic hole under bending heat source (Q2759686)

The Green's function is derived in explicit form for a bending heat source in an infinite thin plate with either adiabatic or isothermal elliptic hole. First, the complex variable method is developed to treat the thermoelastic bending problem of thin plate. Then an exact Green function is derived by using the complex variable method. Illustrative examples for distributions of temperature moment, heat-flux moments and bending moments along the hole edge are shown in figures. Moreover, the authors demonstrate that multiple crack thermal bending problems can be solved by using this Green's function as the kernel of boundary integral method.NEWLINENEWLINEFor the entire collection see [Zbl 0970.00025].