Three-dimensional singular elastostatic fields in a cracked Neo-Hookean hyperelastic solid

被引:8
作者
Arfaoui, Makrem [1 ]
Trifa, Mohamed [1 ]
Mansouri, Khalil [1 ]
Karoui, Amine [1 ]
Renard, Yves [2 ]
机构
[1] Univ Tunis El Manar, Lab Mecan Appl & Ingn, Ecole Natl Ingenieurs Tunis, Tunis 1002, Tunisia
[2] Univ Lyon, CNRS, INSA Lyon, ICJ UMR5208,LaMCoS UMR5259, F-69621 Villeurbanne, France
关键词
Asymptotic; Crack; Plane; Anti-plane; Hyperelasticity; Incompressible; PSEUDO-PLANE DEFORMATIONS; FINITE-ELEMENT-METHOD; ANTIPLANE SHEAR; BORDER FIELD; STRESS-FIELD; TIP; ELASTICITY; STRAIN; FRONT; VERTEX;
D O I
10.1016/j.ijengsci.2018.03.006
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
The boundary-value problem of Neo-Hookean incompressible hyperelastic cracked solid under a superposition of a plane deformation to an anti-plane one is formulated. An asymptotic analysis is then employed to compute the elastostatic fields near the crack front and their principal properties are illustrated. In a particular basis, the crack is bound to open independently of the magnitude and the mode of the boundary conditions at infinity. The stress field components have different singularities and each one can posses more than one singular term. Some disagreements with the linear theory are evidenced. (C) 2018 Elsevier Ltd. All rights reserved.
引用
收藏
页码:1 / 11
页数:11
相关论文
共 40 条
[1]   DISCONTINUOUS DEFORMATION GRADIENTS AWAY FROM THE TIP OF A CRACK IN ANTI-PLANE SHEAR [J].
ABEYARATNE, R .
JOURNAL OF ELASTICITY, 1981, 11 (04) :373-393
[2]  
Bui HuyDuong., 2007, Fracture mechanics: inverse problems and solutions, V139
[3]  
CARROLL MM, 1986, ISTANBUL TEK NIV BL, V9, P317
[4]   A novel eigenfunction expansion solution for three-dimensional crack problems [J].
Chaudhuri, RA ;
Xie, MS .
COMPOSITES SCIENCE AND TECHNOLOGY, 2000, 60 (12-13) :2565-2580
[5]  
Grisvard P, 2011, CLASS APPL MATH, V69, P1, DOI 10.1137/1.9781611972030
[6]   ELASTOPLASTIC 3-DIMENSIONAL CRACK BORDER FIELD .2. ASYMPTOTIC SOLUTION FOR THE FIELD [J].
GUO, WL .
ENGINEERING FRACTURE MECHANICS, 1993, 46 (01) :105-113
[7]   ELASTOPLASTIC 3-DIMENSIONAL CRACK BORDER FIELD .1. SINGULAR STRUCTURE OF THE FIELD [J].
GUO, WL .
ENGINEERING FRACTURE MECHANICS, 1993, 46 (01) :93-104
[8]   PARTIAL 3 DIMENSIONAL DEFORMATIONS FOR THE PERFECTLY ELASTIC MOONEY MATERIAL [J].
HILL, JM ;
LEE, AI .
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 1989, 40 (01) :128-132
[9]   A review of partial solutions of finite elasticity and their applications [J].
Hill, JM .
INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 2001, 36 (03) :447-463
[10]   PARTIAL SOLUTIONS OF FINITE ELASTICITY - 3 DIMENSIONAL DEFORMATIONS [J].
HILL, JM .
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 1973, 24 (04) :609-618