Аннотация:An approach to the numerical modeling of stress state in a two-layered beam is developed forfinite deformations. It is assumed that the first layer of the beam is preliminarily stressed, and thenthe second layer is added. The problem is formulated and solved using the theory of repeatedlysuperimposed finite strains. The spectral element method is used for the analysis. The spectralelements of variable order are used on non-conformal unstructured meshes. The computations areperformed for the case of plane strain. It is assumed that the beam is made of the weakly compressibleMooney-Rivlin material. The incomplete junction of layers is considered. The numerical results aregiven for the case in which the first layer is preliminarily stretched along its axis. It is analyzed howthe curvature of the beam after the junction of layers depends on the value of preliminary stretch. Itis shown that this dependence is not monotone. The stress distribution in the composite beam is shownfor a particular case.The proposed approach can be useful for the modeling of additive manufacturing. In this casethe preliminary strains and stresses in the first layer are caused by thermal effects.