ABSTRACT

The set of equations governing the semi-discretized problem of the thermomechanical coupling of shells consists of the nonlinear algebraic equations expressing mechanics equilibrium equations, along with differential equations describing the heat flow. Concerning heat transfer, the large variation of temperature requires that one should take into account the radiative heat exchanges. Since one of the interests is to eliminate the risk of cracking, it is important to have a look into the thermal strain field and induced stresses. A steel bar is considered built-in at the left end and subjected to an imposed displacement at the right end. The computed results clearly demonstrate the heating effect produced by the mechanical dissipation. Namely, the plastic dissipation equals the heat supply leading to the temperature increase. The fire-induced cracking in a reinforced concrete slab is considered, which illustrates the positive influence of reinforcement in preventing or limiting the spalling phenomena.