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Application of Numerical Methods in Solving a Phenomenon of the Theory of Thin Plates
Vera Nikolić - Stanojević Ćemal Dolićanin Mladen Radojković
The term thin plate implied an elastic body with a cylindrical or prismatic shape of small thickness in relation to other two dimensions. The basic dependences between geometrical and physical properties come mostly to setting up of relations between stress and strain conditions, which have been described by differential equations, both simple and partial ones. The methods used for solving established equations, with respect to outlined and initial conditions, may be classified into analytical and numerical methods. In case of complex and big construction systems subjected to arbitrary loads, including complex boundary conditions, solving differential equations by analytical methods is almost impossible. Then the solution is the application of numerical methods. One of the basic numerical methods is the Finite Element Method (FEM). In this paper, besides the analytical method, is also used for consideration of this phenomenon in a flat isotropic field, notably in thin plates with different boundary conditions and loading. In the end, more comments and further directions of investigations are given. This method reduces the problem to solving the system of paired algebraic equations, thus making it easier to solve. Key words: plate, thin plate, stress conditions, stress concentration, numerical methods, finite element method.
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