Surface contact behavior of functionally graded thermoelectric materials indented by a conducting punch

Abstract The contact problem for thermoelectric materials with functionally graded properties is considered. material properties, such as the electric conductivity, thermal shear modulus, and expansion coefficient, vary in an exponential function. Using Fourier transform technique, electro-thermoelastic problems are transformed into three sets of singular integral equations which solved numerically terms unknown normal current density, energy flux, pressure. Meanwhile, complex homogeneous solutions displacement fields caused by gradient parameters simplified help Euler’s formula. After addressing non-linearity excited effects, particular can be assessed. effects various combinations loads on behaviors presented. results give a deep insight damage mechanism (FGTEMs).