By using the classic theory of operator semigroup

the initial boundary value problem for a class of coupled elastic rod equation with strong damping and thermal effect was investigated.The existence and uniqueness of the solution were proved and a operator semigroup was introduced.According to the solution's continuity depending on the initial value

and the invariance of absorbing set

the existence of the global attractor for the mentioned system was proved by decomposing operator semigroup classically

with one part of the decomposed semigroup decaying exponentially and the other being compact.