Gao Hang-shan, Zhang Ru-qing. The Random Variational Principle in Finite Deformation of Elasticity and Finite Element Method[J]. Applied Mathematics and Mechanics, 1994, 15(10): 855-862.
Citation: Gao Hang-shan, Zhang Ru-qing. The Random Variational Principle in Finite Deformation of Elasticity and Finite Element Method[J]. Applied Mathematics and Mechanics, 1994, 15(10): 855-862.

The Random Variational Principle in Finite Deformation of Elasticity and Finite Element Method

  • Received Date: 1993-11-22
  • Publish Date: 1994-10-15
  • In the present paper,we have introduced the random materials.loads.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 defomation of elastieity and nonlinear randomfinite element method are esiablished,and used.for reliability,analysis of structures.Numerical examples showed that the methods have the advontages of simple andconvenient program implementation and are effective for the probabilistic problems in mechanics.
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