Abstract
In the present paper, we have introduced the random materials, toads, geometrical shapes, force and displacement boundary condition directly into the functional variational formula, by use of a small parameter perturbation method, a unified random variational principle in finite deformation of elasticity and nonlinear random finite element method are established, and used for reliability analysis of structures. Numberical examples showed that the methods have the advantages of simple and conveninet program implementation and are effective for the probabilistic problems in mechanics.
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