A successive approximations method of designing viscoplastic film structures
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The solution of problems in which plasticity and creep have to be taken into account necessitates the formulation of cumber some nonlinear differential equations. Finding a solution (analytical or numerical) of these equations is a complex mathematical problem. In some cases, when more detailed data on the mechanical properties of the material in a complex stress state are available, the solution of such problems can be simplified by making use of the aging theory associated with the Tresca-St. Venant conditions of creep. A numerical solution is obtained in this case with the aid of geometrical conditions and equilibrium equations; the accuracy of the solution is determined by the number of approximations.
KeywordsMechanical Property Differential Equation Stress State Approximation Method Equilibrium Equation
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