This article considers an unsteady elastic diffusion model of Euler–Bernoulli beam oscillations in the presence of diffusion flux relaxation. We used the model of coupled elastic diffusion for a homogeneous orthotropic multicomponent continuum to formulate the problem. A model of unsteady bending for the elastic diffusive Euler–Bernoulli beam was obtained using Hamilton’s variational principle. The Laplace transform on time and the Fourier series expansion by the spatial coordinate were used to solve the obtained problem.
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
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