Material strength distribution obtaining method

Abstract

The invention provides a material strength distribution obtaining method. The method comprises the steps of obtaining multiple material strength samples defined in the specification through a materialstrength test, and determining test data-based strength random variable samples defined in the specification; expanding a strength random variable eta by adopting a chaotic polynomial, and accordingto Gaussian sampling, performing calculation to obtain all-order chaotic polynomial basis function samples defined in the specification; by adopting a Markov chain-Monte Carlo algorithm, obtaining posteriori distribution samples, defined in the specification, of all-order chaotic polynomial coefficients gamma; according to the reconstructed chaotic polynomial coefficient samples defined in the specification and the chaotic polynomial basis function samples defined in the specification, determining posteriori distribution samples, defined in the specification, of the strength random variable; and according to the posteriori distribution samples, defined in the specification, of the strength random variable, calculating posteriori distribution samples, defined in the specification, of strength, and finally obtaining material strength distribution by adopting an interval statistics method. According to the method, the material strength distribution can be obtained by only finishing few strength tests, without assuming a material strength distribution type, so that a large amount of test time and expenditures are saved, and meanwhile, an error caused by wrong selection of a material strength distribution model is avoided.

Description

technical field [0001] The invention relates to a material reliability calculation method, in particular to a material strength distribution acquisition method. Background technique [0002] Due to the differences in the manufacturing process and the randomness of the internal defects of the material, the strength of the material has a certain degree of dispersion. In order to ensure the reliability of the structure, two methods are often used in engineering: (1) Improve the structural reliability through structural redundancy design. Reliability; (2) Improve the reliability of the structure through structural reliability design. The method of redundant design will lead to a large waste of materials and increase the weight of the structure. For some structures, increasing the weight will greatly reduce the performance of the product. Therefore, the concept of reliability-based design has gradually been favored by structural engineering designers. The acquisition of materia...

AI Technical Summary

Problems solved by technology

The disadvantage of this method is that a large number of experiments need to be completed, and the time cost and economic cost are high

For precious materials, this method is hardly feasible

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