Asymptotic finite fracture mechanics solution for crack onset at elliptical holes in composite plates of finite-width

被引：16

作者：

Felger, J. ^{[1
]}

Stein, N. ^{[1
]}

Becker, W. ^{[1
]}

机构：

[1] Tech Univ Darmstadt, Fachgebiet Strukturmech, Franziska Braun Str 7, D-64287 Darmstadt, Germany

来源：

ENGINEERING FRACTURE MECHANICS | 2017年 / 182卷

关键词：

Finite fracture mechanics; Crack initiation; Matched asymptotic expansions; Open-hole composites; Finite-width plates; STRESS-CONCENTRATIONS; COUPLED CRITERION; LAP JOINTS; FAILURE; PREDICTION; INITIATION; STRENGTH; TENSILE; MODEL; NOTCH;

D O I：

10.1016/j.engfracmech.2017.05.048

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

The onset of cracks at elliptical holes in finite-width laminated plates under uniaxial tension loading is investigated using a finite fracture mechanics approach. A coupled stress and energy criterion is applied in order to determine the effective strength of the notched plate and the size of instantaneously initiating cracks. A semi-analytical approach based on complex potential theory in combination with a two-scale asymptotic analysis is proposed leading to explicit relations for the stress field and energy quantities due to crack formation. This allows for an efficient finite fracture mechanics solution and a significant reduction of the numerical effort compared to a full-numerical treatment. The effect of higher order terms in the asymptotic procedure and a technique leading to an improved convergence of the expansions are discussed in detail. A thorough comparison with numerical data is performed in order to analyse the validity range of the asymptotic solution. Furthermore, the failure load predictions are compared to experimental data from literature. (C) 2017 Elsevier Ltd. All rights reserved.

引用

页码：621 / 634

页数：14

共 47 条

[1] Finite fracture mechanics analysis of crack onset at a stress concentration in a UD glass/epoxy composite in off-axis tension [J].

Andersons, J. ;

Tarasovs, S. ;

Sparnins, E. .

COMPOSITES SCIENCE AND TECHNOLOGY, 2010, 70 (09) :1380-1385

[2]

[Anonymous], 1996, PADE APPROXIMANTS

[3]

Baker G., 1981, Encyclopedia of Mathematics and Its Applications, V1

[4] A finite fracture mechanics model for the prediction of the open-hole strength of composite laminates [J].

Camanho, P. P. ;

Ercin, G. H. ;

Catalanotti, G. ;

Mahdi, S. ;

Linde, P. .

COMPOSITES PART A-APPLIED SCIENCE AND MANUFACTURING, 2012, 43 (08) :1219-1225

[5] NOTCH SENSITIVITY IN FRACTURE TESTING OF AGGREGATIVE MATERIALS [J].

CARPINTERI, A .

ENGINEERING FRACTURE MECHANICS, 1982, 16 (04) :467-481

[6] A finite fracture mechanics approach to structures with sharp V-notches [J].

Carpinteri, A. ;

Cornetti, P. ;

Pugno, N. ;

Sapora, A. ;

Taylor, D. .

ENGINEERING FRACTURE MECHANICS, 2008, 75 (07) :1736-1752

[7] Comparison between models based on a coupled criterion for the prediction of the failure of adhesively bonded joints [J].

Carrere, N. ;

Martin, E. ;

Leguillon, D. .

ENGINEERING FRACTURE MECHANICS, 2015, 138 :185-201

[8] A semi-analytical method to predict net-tension failure of mechanically fastened joints in composite laminates [J].

Catalanotti, G. ;

Camanho, P. P. .

COMPOSITES SCIENCE AND TECHNOLOGY, 2013, 76 :69-76

[9]

Cherepanov G.P., 1974, Mechanics of Brittle Fracture

[10] On stress singularities in an anisotropic wedge for various boundary conditions [J].

Chue, CH ;

Tseng, CH ;

Liu, CI .

COMPOSITE STRUCTURES, 2001, 54 (01) :87-102

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