TY - JOUR

T1 - Mixed-mode stress intensity factor evaluation by interaction integral method for quadratic tetrahedral finite element with correction terms

AU - Daimon, Ryutaro

AU - Okada, Hiroshi

PY - 2014/1/1

Y1 - 2014/1/1

N2 - In this paper, a simple and accurate formulation of the interaction integral method for the quadratic tetrahedral finite element is presented. It was found in the course of present investigation that the auxiliary solutions set by the asymptotic solutions of the crack did not satisfy the equilibrium in terms of the finite element model consisting of the quadratic tetrahedral element. Thus, the results of the interaction integral computations contained a large magnitude of numerical error. To overcome this problem, the authors propose to add correction terms to the asymptotic solutions and to form new auxiliary solutions. The correction terms are determined so that the auxiliary solutions satisfy the equilibrium of the finite element model by performing finite element computations. Some numerical demonstrations are presented and they show that proposed methodology can give more accurate stress intensity factor solutions than the case without the correction terms.

AB - In this paper, a simple and accurate formulation of the interaction integral method for the quadratic tetrahedral finite element is presented. It was found in the course of present investigation that the auxiliary solutions set by the asymptotic solutions of the crack did not satisfy the equilibrium in terms of the finite element model consisting of the quadratic tetrahedral element. Thus, the results of the interaction integral computations contained a large magnitude of numerical error. To overcome this problem, the authors propose to add correction terms to the asymptotic solutions and to form new auxiliary solutions. The correction terms are determined so that the auxiliary solutions satisfy the equilibrium of the finite element model by performing finite element computations. Some numerical demonstrations are presented and they show that proposed methodology can give more accurate stress intensity factor solutions than the case without the correction terms.

KW - Domain integral method

KW - Finite element method

KW - Fracture mechanics

KW - Interaction integral method

KW - Stress intensity factors

UR - http://www.scopus.com/inward/record.url?scp=84889053140&partnerID=8YFLogxK

U2 - 10.1016/j.engfracmech.2013.11.009

DO - 10.1016/j.engfracmech.2013.11.009

M3 - Article

AN - SCOPUS:84889053140

VL - 115

SP - 22

EP - 42

JO - Engineering Fracture Mechanics

JF - Engineering Fracture Mechanics

SN - 0013-7944

ER -