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Volumn 80, Issue 11, 2009, Pages 1406-1436

Numerical modeling of creep and creep damage in thin plates of arbitrary shape from materials with different behavior in tension and compression under plane stress conditions

Author keywords

Constitutive equations; Damage; Plates; Solids; Time integration; Variational methods

Indexed keywords

ARBITRARY SHAPE; BASIC EQUATIONS; COMPRESSION AND SHEAR; CREEP DAMAGES; CREEP DEFORMATIONS; DAMAGE EVOLUTION; FOURTH-ORDER; ISOTROPIC MATERIALS; LOADING TYPES; NUMERICAL MODELING; NUMERICAL SOLUTION; PLANE STRESS; PLANE STRESS CONDITION; R-FUNCTIONS; RITZ METHODS; RUNGE-KUTTA; STRESS STRAIN STATE; TENSION AND COMPRESSION; TENSION-COMPRESSION ASYMMETRY; THIN PLATE; TIME INTEGRATION; VARIATIONAL APPROACHES; VARIATIONAL METHODS;

EID: 70450183359     PISSN: 00295981     EISSN: 10970207     Source Type: Journal    
DOI: 10.1002/nme.2663     Document Type: Article
Times cited : (14)

References (80)
  • 4
    • 0019585153 scopus 로고
    • Creep cavitation in 304 stainless steel
    • Chen IW, Argon AS. Creep cavitation in 304 stainless steel. Acta Metallurgica 1981; 29:1321-1333.
    • (1981) Acta Metallurgica , vol.29 , pp. 1321-1333
    • Chen, I.W.1    Argon, A.S.2
  • 6
    • 0003734002 scopus 로고
    • Allowance for differences in strain resistance in the creep of isotropic and anisotropic materials
    • Zolochevskii AA. Allowance for differences in strain resistance in the creep of isotropic and anisotropic materials. Journal of Applied Mechanics and Technical Physics 1982; 23:591-596.
    • (1982) Journal of Applied Mechanics and Technical Physics , vol.23 , pp. 591-596
    • Zolochevskii, A.A.1
  • 7
    • 0024057565 scopus 로고
    • Effect of the type of loading on the creep of isotropic strain-hardening materials
    • Zolochevskii AA. Effect of the type of loading on the creep of isotropic strain-hardening materials. Soviet Applied Mechanics 1988; 24:185-191.
    • (1988) Soviet Applied Mechanics , vol.24 , pp. 185-191
    • Zolochevskii, A.A.1
  • 9
    • 0032709552 scopus 로고    scopus 로고
    • Analytical and experimental investigation for tensile and compressive creep of the A3003P aluminium alloy used for plate-fin heat exchanger
    • El-Shennawy M, Morita Y, Kouso M. Analytical and experimental investigation for tensile and compressive creep of the A3003P aluminium alloy used for plate-fin heat exchanger. JSME International Journal A 1999; 42:403-413.
    • (1999) JSME International Journal A , vol.42 , pp. 403-413
    • El-Shennawy, M.1    Morita, Y.2    Kouso, M.3
  • 11
    • 34250256198 scopus 로고
    • Construction of the creep equations for materials with different extension and compression properties
    • Gorev BV, Rubanov VV, Sosnin OV. Construction of the creep equations for materials with different extension and compression properties. Journal of Applied Mechanics and Technical Physics 1979; 20:487-492.
    • (1979) Journal of Applied Mechanics and Technical Physics , vol.20 , pp. 487-492
    • Gorev, B.V.1    Rubanov, V.V.2    Sosnin, O.V.3
  • 14
    • 0019596398 scopus 로고
    • Texture and stress state dependent creep in Zircaloy-2
    • Lucas GE, Pelloux RMN. Texture and stress state dependent creep in Zircaloy-2. Metallurgical Transactions A 1981; 12:1321-1331.
    • (1981) Metallurgical Transactions A , vol.12 , pp. 1321-1331
    • Lucas, G.E.1    Pelloux, R.M.N.2
  • 17
    • 0024699494 scopus 로고
    • Determination of non-symmetric secondary creep behaviour of ceramics by residual stress measurement using neutron diffractometry
    • Pintschovius L, Gering E, Munz D, Fett T, Soubeyroux JL. Determination of non-symmetric secondary creep behaviour of ceramics by residual stress measurement using neutron diffractometry. Journal of Materials Science Letters 1989; 8:811-813.
    • (1989) Journal of Materials Science Letters , vol.8 , pp. 811-813
    • Pintschovius, L.1    Gering, E.2    Munz, D.3    Fett, T.4    Soubeyroux, J.L.5
  • 21
    • 4043056847 scopus 로고
    • Creep in materials with different tension and compression behavior
    • Sosnin OV. Creep in materials with different tension and compression behavior. Journal of Applied Mechanics and Technical Physics 1970; 11:832-835.
    • (1970) Journal of Applied Mechanics and Technical Physics , vol.11 , pp. 832-835
    • Sosnin, O.V.1
  • 22
    • 0015371868 scopus 로고
    • A comparison between the tensile and compressive creep behaviour of an 11 per cent chromium steel
    • Tilly GP, Harrison GF. A comparison between the tensile and compressive creep behaviour of an 11 per cent chromium steel. Journal of Strain Analysis 1972; 7:163-169.
    • (1972) Journal of Strain Analysis , vol.7 , pp. 163-169
    • Tilly, G.P.1    Harrison, G.F.2
  • 25
    • 0021522074 scopus 로고
    • Viscous cavity growth in ceramics under compressive loads
    • Chan KS, Lankford J, Page RA. Viscous cavity growth in ceramics under compressive loads. Acta Metallurgica 1984; 32:1907-1914.
    • (1984) Acta Metallurgica , vol.32 , pp. 1907-1914
    • Chan, K.S.1    Lankford, J.2    Page, R.A.3
  • 26
    • 0021499841 scopus 로고
    • Nucleation and early-stage growth of creep cavities in hot-pressed silicon carbide
    • Page RA, Lankford J, Spooner S. Nucleation and early-stage growth of creep cavities in hot-pressed silicon carbide. Acta Metallurgica 1984; 32:1275-1286.
    • (1984) Acta Metallurgica , vol.32 , pp. 1275-1286
    • Page, R.A.1    Lankford, J.2    Spooner, S.3
  • 27
    • 0033164623 scopus 로고    scopus 로고
    • A microcrack description of creep damage in crystalline solids with different behaviour in tension and compression
    • Betten J, Sklepus S, Zolochevsky A. A microcrack description of creep damage in crystalline solids with different behaviour in tension and compression. International Journal of Damage Mechanics 1999; 8:197-232.
    • (1999) International Journal of Damage Mechanics , vol.8 , pp. 197-232
    • Betten, J.1    Sklepus, S.2    Zolochevsky, A.3
  • 28
    • 0026256789 scopus 로고
    • Creep of thin shells by consideration of the anisotropic materials and the different behavior in tension and compression
    • Altenbach H, Zolochevsky A. Creep of thin shells by consideration of the anisotropic materials and the different behavior in tension and compression. Forschung im Ingenieurwesen 1991; 57:172-179.
    • (1991) Forschung im Ingenieurwesen , vol.57 , pp. 172-179
    • Altenbach, H.1    Zolochevsky, A.2
  • 29
    • 0037401411 scopus 로고    scopus 로고
    • A constitutive theory for creep behavior of initially isotropic materials sustaining unilateral damage
    • Betten J, Sklepus A, Zolochevsky A. A constitutive theory for creep behavior of initially isotropic materials sustaining unilateral damage. Mechanics Research Communications 2003; 30:251-256.
    • (2003) Mechanics Research Communications , vol.30 , pp. 251-256
    • Betten, J.1    Sklepus, A.2    Zolochevsky, A.3
  • 30
    • 0032010445 scopus 로고    scopus 로고
    • A creep damage model for initially isotropic materials with different properties in tension and compression
    • Betten J, Sklepus S, Zolochevsky A. A creep damage model for initially isotropic materials with different properties in tension and compression. Engineering Fracture Mechanics 1998; 59:623-641.
    • (1998) Engineering Fracture Mechanics , vol.59 , pp. 623-641
    • Betten, J.1    Sklepus, S.2    Zolochevsky, A.3
  • 31
    • 0036648301 scopus 로고    scopus 로고
    • Constitutive modeling of creep and damage behaviors of the non-Mises type for a class of polycrystalline metals
    • Kawai M. Constitutive modeling of creep and damage behaviors of the non-Mises type for a class of polycrystalline metals. International Journal of Damage Mechanics 2002; 11:223-246.
    • (2002) International Journal of Damage Mechanics , vol.11 , pp. 223-246
    • Kawai, M.1
  • 32
    • 0141743763 scopus 로고    scopus 로고
    • Creep simulation of asymmetric effects by use of stress mode dependent weighting functions
    • Mahnken R. Creep simulation of asymmetric effects by use of stress mode dependent weighting functions. International Journal of Solids and Structures 2003; 40:6189-6209.
    • (2003) International Journal of Solids and Structures , vol.40 , pp. 6189-6209
    • Mahnken, R.1
  • 33
    • 0342803223 scopus 로고    scopus 로고
    • Thermodynamic modeling of creep damage in materials with different properties in tension and compression
    • Voyiadjis GZ, Zolochevsky A. Thermodynamic modeling of creep damage in materials with different properties in tension and compression. International Journal of Solids and Structures 2000; 37:3281-3303.
    • (2000) International Journal of Solids and Structures , vol.37 , pp. 3281-3303
    • Voyiadjis, G.Z.1    Zolochevsky, A.2
  • 35
    • 0002336324 scopus 로고
    • Creep of isotropic and anisotropic materials with different behaviour in tension and compression
    • Zyczkowski M (ed.). Springer: Berlin
    • Zolochevsky A. Creep of isotropic and anisotropic materials with different behaviour in tension and compression. In Creep in Structures, Zyczkowski M (ed.). Springer: Berlin, 1991; 217-220.
    • (1991) Creep in Structures , pp. 217-220
    • Zolochevsky, A.1
  • 36
    • 0034851051 scopus 로고    scopus 로고
    • Tension-compression asymmetry of creep and unilateral creep damage in aluminum for isothermal and nonisothermal processes
    • Zolochevsky A, Obataya Y. Tension-compression asymmetry of creep and unilateral creep damage in aluminum for isothermal and nonisothermal processes. JSME International Journal A 2001; 44:100-108.
    • (2001) JSME International Journal A , vol.44 , pp. 100-108
    • Zolochevsky, A.1    Obataya, Y.2
  • 37
    • 33947711684 scopus 로고    scopus 로고
    • Analysis of creep deformation and creep damage in thin-walled branched shells from materials with different behavior in tension and compression
    • Zolochevsky A, Galishin A, Sklepus S, Voyiadjis GZ. Analysis of creep deformation and creep damage in thin-walled branched shells from materials with different behavior in tension and compression. International Journal of Solids and Structures 2007; 44:5075-5100.
    • (2007) International Journal of Solids and Structures , vol.44 , pp. 5075-5100
    • Zolochevsky, A.1    Galishin, A.2    Sklepus, S.3    Voyiadjis, G.Z.4
  • 38
    • 84996258460 scopus 로고
    • Creep fracture by coupled power-law creep and diffusion under multiaxial stress
    • Cocks ACF, Ashby MF. Creep fracture by coupled power-law creep and diffusion under multiaxial stress. Metal Science 1982; 16:465-474.
    • (1982) Metal Science , vol.16 , pp. 465-474
    • Cocks, A.C.F.1    Ashby, M.F.2
  • 39
    • 0019070179 scopus 로고
    • Plastic creep flow effects in the diffusive cavitation of grain boundaries
    • Needleman A, Rice JR. Plastic creep flow effects in the diffusive cavitation of grain boundaries. Acta Metallurgica 1983; 28:1315-1332.
    • (1983) Acta Metallurgica , vol.28 , pp. 1315-1332
    • Needleman, A.1    Rice, J.R.2
  • 40
    • 0021618603 scopus 로고
    • On the creep constrained diffusive cavitation of grain boundary effects
    • Tvergaard V. On the creep constrained diffusive cavitation of grain boundary effects. Journal of Mechanics and Physics of Solids 1984; 32:373-393.
    • (1984) Journal of Mechanics and Physics of Solids , vol.32 , pp. 373-393
    • Tvergaard, V.1
  • 41
    • 0030258088 scopus 로고    scopus 로고
    • A hybrid finite element approach to the solution of creep problems
    • Axenenko O, Tsvelikh A. A hybrid finite element approach to the solution of creep problems. Computational Materials Science 1996; 6:268-280.
    • (1996) Computational Materials Science , vol.6 , pp. 268-280
    • Axenenko, O.1    Tsvelikh, A.2
  • 43
    • 0033668353 scopus 로고    scopus 로고
    • Phenomenological modeling and numerical simulation of different modes of creep damage evolution
    • Bellenger E, Bussy P. Phenomenological modeling and numerical simulation of different modes of creep damage evolution. International Journal of Solids and Structures 2001; 38:577-604.
    • (2001) International Journal of Solids and Structures , vol.38 , pp. 577-604
    • Bellenger, E.1    Bussy, P.2
  • 46
    • 0015601950 scopus 로고
    • Stress redistribution and rupture due to creep in a uniformly stretched thin plate containing a circular hole
    • Hayhurst DR. Stress redistribution and rupture due to creep in a uniformly stretched thin plate containing a circular hole. Transactions of ASME Journal of Applied Mechanics 1973; 40:253-260.
    • (1973) Transactions of ASME Journal of Applied Mechanics , vol.40 , pp. 253-260
    • Hayhurst, D.R.1
  • 55
    • 0033349942 scopus 로고    scopus 로고
    • Creep analysis of V-notched metallic plates: Boundary element method
    • Providakis CP. Creep analysis of V-notched metallic plates: boundary element method. Theoretical and Applied Fracture Mechanics 1999; 32:1-7.
    • (1999) Theoretical and Applied Fracture Mechanics , vol.32 , pp. 1-7
    • Providakis, C.P.1
  • 56
    • 0347368406 scopus 로고    scopus 로고
    • An FE-analysis of anisotropic creep damage and deformation in the single crystal SRR99 under multiaxial loads
    • Qi W, Brocks W, Bertram A. An FE-analysis of anisotropic creep damage and deformation in the single crystal SRR99 under multiaxial loads. Computational Materials Science 2000; 19:292-297.
    • (2000) Computational Materials Science , vol.19 , pp. 292-297
    • Qi, W.1    Brocks, W.2    Bertram, A.3
  • 58
    • 34249842931 scopus 로고
    • Analysis of creep in a rectangular plate with a circular orifice under tension
    • Solodovnikov VN. Analysis of creep in a rectangular plate with a circular orifice under tension. Journal of Applied Mechanics and Technical Physics 1991; 32:284-288.
    • (1991) Journal of Applied Mechanics and Technical Physics , vol.32 , pp. 284-288
    • Solodovnikov, V.N.1
  • 59
    • 0030190922 scopus 로고    scopus 로고
    • Finite element analysis of creep damage
    • Wang XN, Wang XC. Finite element analysis of creep damage. Computers and Structures 1996; 60:781-786.
    • (1996) Computers and Structures , vol.60 , pp. 781-786
    • Wang, X.N.1    Wang, X.C.2
  • 60
    • 0029239114 scopus 로고
    • General steady creep analysis for various constitutive laws. Part 2: Application and numerical examples in two dimensions
    • Xue G, Wang XC. General steady creep analysis for various constitutive laws. Part 2: application and numerical examples in two dimensions. International Journal of Pressure Vessels and Piping 1995; 64:127-136.
    • (1995) International Journal of Pressure Vessels and Piping , vol.64 , pp. 127-136
    • Xue, G.1    Wang, X.C.2
  • 64
    • 0030128319 scopus 로고    scopus 로고
    • Prediction of creep failure in aeroengine materials under multi-axial stress states
    • Hyde TH, Xia L, Becker AA. Prediction of creep failure in aeroengine materials under multi-axial stress states. International Journal of Mechanical Sciences 1996; 38:385-403.
    • (1996) International Journal of Mechanical Sciences , vol.38 , pp. 385-403
    • Hyde, T.H.1    Xia, L.2    Becker, A.A.3
  • 65
    • 0028385951 scopus 로고
    • Continuum damage mechanics modelling of circumferentially notched tension bars undergoing tertiary creep with physically-based constitutive equations
    • Othman AM, Dyson BF, Hayhurst DR, Lin J. Continuum damage mechanics modelling of circumferentially notched tension bars undergoing tertiary creep with physically-based constitutive equations. Acta Metallurgica et Materialia 1994; 42:597-611.
    • (1994) Acta Metallurgica et Materialia , vol.42 , pp. 597-611
    • Othman, A.M.1    Dyson, B.F.2    Hayhurst, D.R.3    Lin, J.4
  • 66
    • 0034281694 scopus 로고    scopus 로고
    • Comparison of the creep and damage failure prediction of the new, service-aged and repaired thick-walled circumferential CrMoV pipe welds using material properties at 640°C
    • Sun W, Hyde TH, Becker AA, Williams JA. Comparison of the creep and damage failure prediction of the new, service-aged and repaired thick-walled circumferential CrMoV pipe welds using material properties at 640°C. International Journal of Pressure Vessels and Piping 2000; 77:389-398.
    • (2000) International Journal of Pressure Vessels and Piping , vol.77 , pp. 389-398
    • Sun, W.1    Hyde, T.H.2    Becker, A.A.3    Williams, J.A.4
  • 67
    • 33749381138 scopus 로고    scopus 로고
    • Linear matching method on the evaluation of plastic and creep behaviours for bodies subjected to cyclic thermal and mechanical loading
    • Chen H, Ponter ARS. Linear matching method on the evaluation of plastic and creep behaviours for bodies subjected to cyclic thermal and mechanical loading. International Journal for Numerical Methods in Engineering 2006; 68:13-32.
    • (2006) International Journal for Numerical Methods in Engineering , vol.68 , pp. 13-32
    • Chen, H.1    Ponter, A.R.S.2
  • 68
    • 0031139198 scopus 로고    scopus 로고
    • Creep bending of thin-walled shells and plates by consideration of finite deflections
    • Altenbach H, Naumenko K. Creep bending of thin-walled shells and plates by consideration of finite deflections. Computational Mechanics 1997; 19:490-495.
    • (1997) Computational Mechanics , vol.19 , pp. 490-495
    • Altenbach, H.1    Naumenko, K.2
  • 69
    • 0343080338 scopus 로고
    • Computer analysis of damage development in rectangular plates
    • Bialkiewicz J, Mika P. Computer analysis of damage development in rectangular plates. Engineering Transactions 1995; 43:71-82.
    • (1995) Engineering Transactions , vol.43 , pp. 71-82
    • Bialkiewicz, J.1    Mika, P.2
  • 70
    • 0346896818 scopus 로고
    • A non-unilateral damage in creeping plates
    • Zyczkowski M (ed.). Springer: Berlin
    • Bodnar A, Chrzanowski M. A non-unilateral damage in creeping plates. In Creep in Structures, Zyczkowski M (ed.). Springer: Berlin, 1991; 287-293.
    • (1991) Creep in Structures , pp. 287-293
    • Bodnar, A.1    Chrzanowski, M.2
  • 72
    • 2142662139 scopus 로고    scopus 로고
    • Generalized variational principles for viscoelastic thin and thick plates with damage
    • Sheng DF, Cheng CJ. Generalized variational principles for viscoelastic thin and thick plates with damage. Acta Mechanica Solida Sinica 2004; 17:65-73.
    • (2004) Acta Mechanica Solida Sinica , vol.17 , pp. 65-73
    • Sheng, D.F.1    Cheng, C.J.2
  • 73
    • 70450164880 scopus 로고
    • Allowance for differences in tension and compression for materials in the creep problems of shells
    • Kharkov University: Kharkov
    • Zolochevsky AA. Allowance for differences in tension and compression for materials in the creep problems of shells. Dynamics and Strength of Machines, vol. 32. Kharkov University: Kharkov, 1980; 8-13.
    • (1980) Dynamics and Strength of Machines , vol.32 , pp. 8-13
    • Zolochevsky, A.A.1
  • 74
    • 0023313877 scopus 로고
    • Stationäres Kriechverhalten innendruckbelasteter dünnwandiger Kreiszylinderschalten unter Berücksichtigung des orthotropen Werkstoffverhaltens und des CSD-Effects
    • Betten J, Borrmann M. Stationäres Kriechverhalten innendruckbelasteter dünnwandiger Kreiszylinderschalten unter Berücksichtigung des orthotropen Werkstoffverhaltens und des CSD-Effects. Forschung im Ingenieurwesen 1987; 53:75-82.
    • (1987) Forschung im Ingenieurwesen , vol.53 , pp. 75-82
    • Betten, J.1    Borrmann, M.2
  • 79
    • 0000126612 scopus 로고
    • Analytical description of some geometric objects
    • Rvachev VL. Analytical description of some geometric objects. Doklady Akademii Nauk USSR 1963; 153:765-768.
    • (1963) Doklady Akademii Nauk USSR , vol.153 , pp. 765-768
    • Rvachev, V.L.1
  • 80
    • 0029280293 scopus 로고
    • R-functions in boundary value problems in mechanics
    • Rvachev VL, Sheiko TI. R-functions in boundary value problems in mechanics. Applied Mechanics Reviews 1995; 48:151-188.
    • (1995) Applied Mechanics Reviews , vol.48 , pp. 151-188
    • Rvachev, V.L.1    Sheiko, T.I.2


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