图书馆订阅: Guest
Begell Digital Portal Begell 数字图书馆 电子图书 期刊 参考文献及会议录 研究收集
工程中的混合方法

ISSN 打印: 1099-2391
ISSN 在线: 2641-7359

Archives: Volume 1, 1999 to Volume 4, 2002

工程中的混合方法

DOI: 10.1615/HybMethEng.v3.i1.30
27 pages

STOCHASTIC THIRD-ORDER HYBRID STRESS-BASED FINITE ELEMENT METHOD

Marcin Kaminski
Faculty of Civil Engineering, Architecture and Environmental Engineering, Technical University of Lodz, Poland

ABSTRACT

This article discuses the application of the second-order perturbation, third probabilistic moment approach in the hybrid stress-based finite element analysis. The approach is demonstrated through the example of the linear elastic heterogeneous medium, where the additional stochastic finite element method discretization is based on the Airy, Prandtl, and Goursat stress functions. The numerical examples shown in the article illustrate the probabilistic stress state in some engineering structures with randomly varying material and geometrical parameters. The results obtained in the computational experiments can be directly used in the third-order reliability method analyses of various engineering problems having any closed-form mathematical or approximative numerical solutions.