Efficient structural computations with parameters uncertainty for composite applications

被引:19
作者
Carrere, N. [1 ]
Rollet, Y. [1 ]
Leroy, F. -H. [1 ]
Maire, J. -F. [1 ]
机构
[1] ONERA DMSE LCME, F-92322 Chatillon, France
关键词
Polymer-matrix composites (PMCs); Mechanical properties; Probabilistic methods; Computational mechanics; FINITE-ELEMENT METHOD; DYNAMICS; SYSTEMS; DESIGNS;
D O I
10.1016/j.compscitech.2008.09.035
中图分类号
TB33 [复合材料];
学科分类号
摘要
The aim of this paper is to propose a methodology in order to take into account the influence of uncertain data in structural calculations. To attain this goal, an approximation of the responses as a function of the uncertain data response called surface method (RSM) is proposed. In order to decrease the number of identification points necessary for the RSM, a progressive strategy is proposed. Error indicators are also used in order to increase the confidence. This strategy is applied to a laminate plate subjected to bending tests. The results are compared to Monte-Carlo simulations (considered as a reference). The method proposed in the present work permits to estimate correctly the whole response and is very simple to use (pre- and post-processing). This method is applied to asses the robustness of the point-stress method used to predict the rupture of perforated plates. (c) 2008 Elsevier Ltd. All rights reserved.
引用
收藏
页码:1328 / 1333
页数:6
相关论文
共 29 条
[1]   Micromechanically based stochastic finite elements: Length scales and anisotropy [J].
Alzebdeh, K ;
Ostoja-Starzewski, M .
PROBABILISTIC ENGINEERING MECHANICS, 1996, 11 (04) :205-214
[2]  
[Anonymous], 1994, An introduction to the bootstrap: CRC press
[3]   Stochastic molecular dynamics: A combined Monte Carlo and molecular dynamics technique for isothermal simulations [J].
Attard, P .
JOURNAL OF CHEMICAL PHYSICS, 2002, 116 (22) :9616-9619
[4]   Lessons pertaining to the finite element method for stochastic problems, learned from simplest example [J].
Brzakala, W ;
Elishakoff, I .
CHAOS SOLITONS & FRACTALS, 2001, 12 (07) :1217-1232
[5]   An efficient 3D stochastic finite element method [J].
Chakraborty, S ;
Bhattacharyya, B .
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 2002, 39 (09) :2465-2475
[6]   Analysis of mechanical systems using interval computations applied to finite element methods [J].
Dessombz, O ;
Thouverez, F ;
Laîné, JP ;
Jézéquel, L .
JOURNAL OF SOUND AND VIBRATION, 2001, 239 (05) :949-968
[7]  
ELISHAKOFF I, 1995, CHAOS SOLITON FRACT, V5, P846
[8]   Ingredients for a general purpose stochastic finite elements implementation [J].
Ghanem, R .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1999, 168 (1-4) :19-34
[9]   Non-linear stochastic dynamics of systems with random properties: A spectral approach combined with statistical linearization [J].
Grundmann, H ;
Waubke, H .
INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 1996, 31 (05) :619-630
[10]   Approximate fuzzy arithmetic operations using monotonic interpolations [J].
Guerra, ML ;
Stefanini, L .
FUZZY SETS AND SYSTEMS, 2005, 150 (01) :5-33