【摘 要】
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A method of representation of the general analytical solution for equilibrium equations for transversally isotropic plates with initial stresses is presente
【机 构】
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S.P.Timoshenko Inst.of the NAS of Ukraine
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A method of representation of the general analytical solution for equilibrium equations for transversally isotropic plates with initial stresses is presented.A method of expanding the unknown functions into Fourier series through the Legendre polynomials of a thickness coordinate is used.The differential equations system for the expansion coefficients as the functions of two independent variables and the corresponding boundary conditions are obtained.In the case of symmetrical deformation relative to a middle plane,the solution of the system is presented in terms of holomorphic and metaharmonic functions.The solution for a problem on three-dimensional stress distribution near a circular hole in the unbounded plate under applied tension and shear stresses at infinity is given.
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