Abstract
We formulate a monolithic thermomechanical coupling method to analyze internal frictional heating of linear viscoelastic material under sinuosidal loads. To construct the monolithic coupled equations, we linearize the weak forms of the equilibrium equations and the heat conduction equation. We apply the present method to a viscoelastic damper model under periodic loads to analyze time histories of the temperature. As a result, we confirm that the present method can decrease the error compared to a staggered method.