A high-fidelity first-order reliability analysis for shear deformable laminated composite plates

被引：24

作者：

Gosling, P. D. ^{[1
]}

Faimun ^{[1
]}

Polit, O. ^{[2
]}

机构：

[1] Newcastle Univ, Sch Civil Engn & Geosci, Newcastle Upon Tyne NE1 7RU, Tyne & Wear, England

[2] Univ Paris Ouest, LEME, EA4416, F-92410 Ville Davray, France

来源：

COMPOSITE STRUCTURES | 2014年 / 115卷

关键词：

Composite plates; Reliability analysis; Probabilistic analysis; FORM; Monte Carlo simulation; FINITE-ELEMENTS;

D O I：

10.1016/j.compstruct.2014.04.007

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

This paper presents the complete theoretical development and practical implementation of a first-order reliability analysis for shear deformable laminated composite plates. The choice of plate theory is initially presented as it is important to ensure that a formulation capable of representing realistic physics is used as the basis of the overall simulation tool to reduce epistemic uncertainty as far as possible. The first-order reliability method (FORM) is proposed for the reliability analysis and summarised in the paper, with comparisons made throughout the paper with Monte Carlo simulation. The sensitivities required as part of the FORM algorithm are presented and verified against finite difference approximations. The practical implementation of the computational framework is demonstrated by numerical examples in which the probability failure of plates is calculated with performance criteria based on deflection and stress and uncertainties associated with fibre orientation and ply thickness. (C) 2014 Elsevier Ltd. All rights reserved.

引用

页码：12 / 28

页数：17

共 31 条

[1]

[Anonymous], 2000, Reliability assessment using stochastic finite element analysis

[2] An approach for reliability-based robust design optimisation of angle-ply composites [J].

Antonio, Carlos Conceicao ;

Hoffbauer, Luisa N. .

COMPOSITE STRUCTURES, 2009, 90 (01) :53-59

[3] TUBA FAMILY OF PLATE ELEMENTS FOR MATRIX DISP LACEMENT METHOD [J].

ARGYRIS, JH ;

FRIED, I ;

SCHARPF, DW .

AERONAUTICAL JOURNAL, 1968, 72 (692) :701-&

[4] Finite deformations of curved laminated St. Venant-Kirchhoff beam using layer-wise third order shear and normal deformable beam theory (TSNDT) [J].

Batra, R. C. ;

Xiao, J. .

COMPOSITE STRUCTURES, 2013, 97 :147-164

[5] A RECTANGULAR FINITE-ELEMENT FOR ANALYZING COMPOSITE MULTILAYERED SHALLOW SHELLS IN STATICS, VIBRATION AND BUCKLING [J].

BEAKOU, A ;

TOURATIER, M .

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 1993, 36 (04) :627-653

[6]

Carrera E., 2003, Applied Mechanics Review, V56, P287, DOI 10.1115/1.1557614

[7] Theories and finite elements for multilayered, anisotropic, composite plates and shells [J].

Carrera, E .

ARCHIVES OF COMPUTATIONAL METHODS IN ENGINEERING, 2002, 9 (02) :87-140

[8]

Chiachio M, 2011, COMPOSITES B

[9] C1 plate and shell finite elements for geometrically nonlinear analysis of multilayered structures [J].

Dau, F. ;

Polit, O. ;

Touratier, M. .

COMPUTERS & STRUCTURES, 2006, 84 (19-20) :1264-1274

[10] Experimental and numerical study of the effect of cure cycle, tool surface, geometry, and lay-up on the dimensional fidelity of autoclave-processed composite parts [J].

Fernlund, G ;

Rahman, N ;

Courdji, R ;

Bresslauer, M ;

Poursartip, A ;

Willden, K ;

Nelson, K .

COMPOSITES PART A-APPLIED SCIENCE AND MANUFACTURING, 2002, 33 (03) :341-351

← 1 2 3 4 →