The problem of determining the stress-strain state rigidly fixed sandwich plate with transversely soft core in the presence of constraints (i.e., material nonlinearity) corresponding to the ideal elastic-plastic model for the core material is considered. Solvability of the generalized statement of the problem as a problem of finding the saddle point of some functionals is investigated.

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By using the two-layer iterative method we obtain the basic characteristics of the equilibrium position of sandwich plate with a transversely soft filler in geometrical nonlinear one-dimensional statement. To solving problem we previously construct its finite-difference approximation Analysis of the results of numerical experiments is performed. Obtained data testify to the effectiveness of the proposed method.

On the basis of the linearized equations consistent theory of curvilinear bars the buckling problem of rectilinear short and long laminated fiber reinforced specimens under the three-point bending conditions has formulated. Based on the method of finite sums in the embodiment of integrating matrices numerical method for solving the above problem has developed. It was shown that the failure of the composite specimens under the three-point bending conditions is due to the implementation of non-classical shear buckling mode. K E Y W O R D Sadjusted equilibrium equation, fiber composite, geometrical and physical nonlinearity, integrating matrices, mechanical properties, numerical method, results of experimental studies, stability, test specimen, testing, three-point bending