TY - JOUR

T1 - An equivalent domain integral method for computing crack-tip integral parameters in non-elastic, thermo-mechanical fracture

AU - Nikishkov, G. P.

AU - Atluri, S. N.

N1 - Funding Information:
Acknowledgements-The first authora cknowledgetsh e supporto f the InternationaRl esearcha nd ExchangeB oard (IREX) for supportingh is stay at Georgia Instituteo f Technology.H e would also like to thank Mr Attawayf or permissiont o use his sky-lines olver and subroutinesfo r plotting finite elementm odels;a nd Mr T. Barr for assistancein learningt he CDC NOS operatings ystem.P artial supporto f this researchb y the U.S. ONR is also gratefullya cknowledgedIt. is a pleasuret o thank MS Jill Phelps for her assistancein the preparationo f the typescript.

PY - 1987

Y1 - 1987

N2 - The crack-tip parameters, such asJ; T*, ΔT* etc, which quantify the severity of the stress/strain fields near the crack-tip in elastic-plastic materials subject to thermo-mechanical loading, are often expressed as integrals over a path that is infinitesimally close to the crack-tip (front). The integrand in such integrals involves the stress-working density, stress, strain and displacement fields arbitrarily close to the crack-tip. In a numerical analysis, such data near the crack-tip are not expected to be very accurate. This paper describes simple approaches and attendant computational algorithms, wherein, the "crack-tip integral" parameters may be evaluated through "equivalent domain integrals" (EDI) alone. It is also seen that the present (EDI) approaches form the generic basis for the popular "virtual crack extension" (VCE) methods. Several examples of thermo-mechanical fracture, including: (i) thermal loading of an elastic material, (ii) arbitrary loading/unloading/reloading of an elastic-plastic material, containing a single dominant crack, are presented to illustrate the present approach and its accuracy.

AB - The crack-tip parameters, such asJ; T*, ΔT* etc, which quantify the severity of the stress/strain fields near the crack-tip in elastic-plastic materials subject to thermo-mechanical loading, are often expressed as integrals over a path that is infinitesimally close to the crack-tip (front). The integrand in such integrals involves the stress-working density, stress, strain and displacement fields arbitrarily close to the crack-tip. In a numerical analysis, such data near the crack-tip are not expected to be very accurate. This paper describes simple approaches and attendant computational algorithms, wherein, the "crack-tip integral" parameters may be evaluated through "equivalent domain integrals" (EDI) alone. It is also seen that the present (EDI) approaches form the generic basis for the popular "virtual crack extension" (VCE) methods. Several examples of thermo-mechanical fracture, including: (i) thermal loading of an elastic material, (ii) arbitrary loading/unloading/reloading of an elastic-plastic material, containing a single dominant crack, are presented to illustrate the present approach and its accuracy.

UR - http://www.scopus.com/inward/record.url?scp=0023208454&partnerID=8YFLogxK

U2 - 10.1016/0013-7944(87)90034-8

DO - 10.1016/0013-7944(87)90034-8

M3 - Article

AN - SCOPUS:0023208454

SN - 0013-7944

VL - 26

SP - 851

EP - 867

JO - Engineering Fracture Mechanics

JF - Engineering Fracture Mechanics

IS - 6

ER -