Thermal effect on the singular behavior of multibonded anisotropic wedges

By employing the Stroh formalism for plane anisotropic thermoelasticity, closed-form solutions for the orders of stress and heat flux singularity of multibonded anisotropic wedges have been obtained. Moreover, the solutions for the temperature, heat flux, displacement, and stress in the field near the wedge apex have also been obtained analytically. Through the proper use of the key matrix introduced in our previous work, the general solutions for the present problems are presented in a simple and compact form. The generality of the present solutions includes the following. (1) Both of the mechanical and thermal properties are considered. (2) No restriction is required on the wedge numbers. (3) Each wedge can be composed of any kind of anisotropic materials such as isotropic, orthotropic, transversely isotropic, monoclinic, and so forth. (4) No restriction is required on the angle of each wedge: for example, the wedge angle can be set to 2π or π to simulate a crack or interfacial crack. (5) Several different boundary conditions are considered such as insulated or isothermal as well as free–free, fixed–fixed, free–fixed, or fixed–free boundary wedges. (6) The solution for the case of multibonded wedge space is also obtained.