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Verification of stochastic models in uncertain environments using the constitutive relation error method. (English) Zbl 1120.74820

Summary: This paper deals with local stress errors which occur in linear elastic FE analysis in an uncertain environment (material, loads,\( \cdots \)). The estimation technique described here uses the concept of error in constitutive relation, but it can be adapted to other estimators. First, we review the principle of the method, then extend it to the stochastic case. This approach yields bounds on the stresses associated with a given confidence level. We illustrate this presentation through a test example.

MSC:

74S05 Finite element methods applied to problems in solid mechanics
74E35 Random structure in solid mechanics
74B05 Classical linear elasticity
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