TY - JOUR
T1 - HYBRID-FINITE-ELEMENT ANALYSIS OF SOME NONLINEAR AND 3-DIMENSIONAL PROBLEMS OF ENGINEERING FRACTURE MECHANICS.
AU - Atluri, Satya N.
AU - Nakagaki, M.
AU - Kathiresan, K.
N1 - Funding Information:
Atluria ndK . Kathiresano)n analysiosf crackedp ressurvee ssels has been supportedb y the Union CarbideC orporationS ub-contracNt o. 7567(u ndeDr epartmenotf EnergyP rineC ontract No. W-7405-ENG-26w)i tht heG eoreaT ech.T hea uthores rate-fully acknowledgthee ses upports. - 9. J. Schijve,F our lectureso n fatiguec rack-growthE.n gng Fracf.M e&. 11(l),1 65-22(31 979). 10.W . Elber,F atiguec rackc losureu nderc yclict ensionE. n-_ ana Fract. Mech. 2(l), 37-45 (1970). _ 11 J. C. NewmanF, inite elemenat nalysiso f fatiguec rack closureM. echanics of Crack-Growth, ASTM STP 590,p p. REFERENCES 281-301A,S TM, (1976). 1. S. N. Atluri,H ybridf initee lemenmt odelsin solidm echanics. 12.K . Oguraa ndD . Ohji, FEM analysiso f crackc losurea nd (Lineart heory)In Advances in Computer Methods for Par- delaye ffecti n fatiguec rack-growtuhn derv ariablea mplitude tial Difierential Equations (Editedb y R. Visnevetskyp).p . loadingE. ngng Fract. Mech.9 ,47la (1977). 351-362A.I CA, RutgersU niversity(1 975). 13.J . W. HutchinsonS,i ngulabr ehaviouart thee ndo f a tensile 2 S. N. Atluri, and H. MurakawaO, n hybridf initee lement crack in a hardeningm aterialJ.. Mech. Phys. Solids 16, modelsin nonlineasro lidm echanicsIn. Finite Elements in 13-31(1 968). Nonlinear Mechanics (Editedb y P. G. Bergane f al.) Vol. I, 14.I . R. Rice and G. F. RosengrenP,l anes traind eformation on. 3-41. TAPIR. NorwegianI nstituteo f Technoloev. _< neara crackt ip in a powerlawh ardeninmg ateriaJl.. Mech. Trondheim(1 978). - Phys.S olids1 6,l -12 (1%8). 3 S. N. Atluri, M. NakagakiK, . KathiresanH, . C. Rhee IS. S. N. Atluri, On somen ew generaal nd complementary andW . H. Chen,H ybridf initee lemenmt odelsfo r lineara nd energyth eoremfso r ther atep roblemisn finites trainc, lassi-nonlineafrr acturea nalysisI.n Numerical Methods in Frac- cal elasto-plasticitGye.o rgia Tech. Rep. GIT-ESM-SA-78-ture Mechanics (Editedb y A. R. Luxmoree t al) D. . D.5 2-67. IO,A ug. 1978,1S.t ructural Mech. 8(l), 61-92(1 980). SwanseaW, ales( 1978)._ 16.M . Nakagakai ndS . N. Atluri,E lastic-plastficin itee lement 4. S. N. Atluria ndM . NakagakJi-,i ntegrael stimatefso r strain analysiso f fatiguec rack-growtihn Mode I and Mode II hardeninmg aterialisn ductinefr actureA IAA L 15(7), 842- conditions.N ASACR-158987N, ASA Langley Research 851 (1977). CenterN, ov. 19788,2 p ages. 5. M. NakagakWi, . H. Chena ndS . N. Atluri,A finitee lement 17.1 . E. RuepingB, . M. Hillberry,S . C. Mettlera nd W. H. analysios f stablec rack-growth-IIn. Elasfic-Plastic Frac- StevensonC, omparativset udy of fatiguec rack closure. ture. ASTM STP 668A. STM. DD. 42-61. AIAA J. 16(4)4,i 3-415(1 978).
Funding Information:
parability at the respective interface. The formulative algebraicd etails leading from eqn (18) to stiffness matricesf or elementsi n V, can be found in[6,7], whereast, he stiffnessm atricesf or elementsV ,, are standardI.t can be shown[6,7]t hatt he final finite ele-mente quationsb asedo n eqn (18)l eadt o a directs olu-tion of stress-intensitfay ctorsK ,(p = 1,2,3)w ithine ach elementV r,. In the presentp aper,s emi-ellipticaslu rfacef laws in moderatelyth ick cylindricalp ressurev esselsa re considered.R efferingt o Fig. 8 for nomenclatureth, e fol-Acknowledgements-The work of the first two authors (S. N. lowing casesa re considered(:R JRi) = 1.1;( a/c)= l/3; Atluri and M. Nakagski) on fatigue crack-growth has been sup- (u/r)= 0 .2548 for meridionals urfacef laws shown in ported in parts by NASA grant NSG-1351, and by U.S.A FOSR Fig. 8; and similarp arametrivca luesf or circumferential contract No. F4%20-78-C-0085. The work of the authors 6. N.
PY - 1979
Y1 - 1979
N2 - In this paper, efficient numerical methods for the analysis of crack-closure effects on fatigue-crack-growth-rates, in plane stress situations, and for the solution of stress-intensity factors for arbitrary shaped surface flaws in pressure vessels, are presented. For the former problem, an elastic-plastic finite element procedure valid for the case of finite deformation gradients is developed and crack growth is simulated by the translation of near-crack-tip elements with embedded plastic singularities. For the latter problem, an embedded-elastic-singularity hybrid finite element method, which leads to a direct evaluation of K-factors, is employed.
AB - In this paper, efficient numerical methods for the analysis of crack-closure effects on fatigue-crack-growth-rates, in plane stress situations, and for the solution of stress-intensity factors for arbitrary shaped surface flaws in pressure vessels, are presented. For the former problem, an elastic-plastic finite element procedure valid for the case of finite deformation gradients is developed and crack growth is simulated by the translation of near-crack-tip elements with embedded plastic singularities. For the latter problem, an embedded-elastic-singularity hybrid finite element method, which leads to a direct evaluation of K-factors, is employed.
UR - http://www.scopus.com/inward/record.url?scp=0345759711&partnerID=8YFLogxK
M3 - Conference article
AN - SCOPUS:0345759711
VL - 1
SP - 14. 1-14. 32
JO - IEE Conference Publication
JF - IEE Conference Publication
SN - 0537-9989
Y2 - 9 May 1979 through 11 May 1979
ER -