메뉴 건너뛰기




Volumn 24, Issue 4, 2005, Pages 537-551

A new model for porous nonlinear viscous solids incorporating void shape effects - I: Theory

Author keywords

Gauge function; Gauge surface; Nonlinear; Porous; Spheroidal voids; Viscous

Indexed keywords

DIFFUSION; DUCTILITY; GRAIN BOUNDARIES; MATHEMATICAL MODELS; PARAMETER ESTIMATION; PLASTICITY; SHAPE MEMORY EFFECT; STRAIN RATE; VECTORS; VISCOSITY;

EID: 23344452494     PISSN: 09977538     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.euromechsol.2005.03.003     Document Type: Article
Times cited : (32)

References (32)
  • 1
    • 0001781682 scopus 로고
    • Void growth and collapse in viscous solids
    • H.G. Hopkins M.J. Sewell Pergamon Press Oxford
    • B. Budiansky, J. Hutchinson, and S. Slutsky Void growth and collapse in viscous solids H.G. Hopkins M.J. Sewell Mechanics of Solids 1982 Pergamon Press Oxford 13 45
    • (1982) Mechanics of Solids , pp. 13-45
    • Budiansky, B.1    Hutchinson, J.2    Slutsky, S.3
  • 2
    • 0000867980 scopus 로고
    • Inelastic deformation of porous materials
    • A.C.F. Cocks Inelastic deformation of porous materials J. Mech. Phys. Solids 37 1989 693 715
    • (1989) J. Mech. Phys. Solids , vol.37 , pp. 693-715
    • Cocks, A.C.F.1
  • 3
    • 0022737322 scopus 로고
    • A constitutive description of nonlinear materials containing voids
    • J.M. Duva A constitutive description of nonlinear materials containing voids Mech. Mater. 5 1986 137 144
    • (1986) Mech. Mater. , vol.5 , pp. 137-144
    • Duva, J.M.1
  • 4
    • 0021393048 scopus 로고
    • Constitutive potentials for dilutely voided nonlinear materials
    • J.M. Duva, and J. Hutchinson Constitutive potentials for dilutely voided nonlinear materials Mech. Mater. 3 1984 41 54
    • (1984) Mech. Mater. , vol.3 , pp. 41-54
    • Duva, J.M.1    Hutchinson, J.2
  • 6
    • 0034677869 scopus 로고    scopus 로고
    • A micromechanical approach of damage in viscoplastic materials by evolution in size, shape and distribution of voids
    • M. Gǎrǎjeu, J.C. Michel, and P. Suquet A micromechanical approach of damage in viscoplastic materials by evolution in size, shape and distribution of voids Comput. Methods Appl. Mech. Engrg. 183 2000 223 246
    • (2000) Comput. Methods Appl. Mech. Engrg. , vol.183 , pp. 223-246
    • Gǎrǎjeu, M.1    Michel, J.C.2    Suquet, P.3
  • 8
    • 0027700633 scopus 로고
    • Approximate models for ductile metals containing non-spherical voids - Case of axisymmetric prolate ellipsoidal cavities
    • M. Gologanu, J.-B. Leblond, and J. Devaux Approximate models for ductile metals containing non-spherical voids - case of axisymmetric prolate ellipsoidal cavities J. Mech. Phys. Solids 41 1993 1723 1754
    • (1993) J. Mech. Phys. Solids , vol.41 , pp. 1723-1754
    • Gologanu, M.1    Leblond, J.-B.2    Devaux, J.3
  • 9
    • 0028460342 scopus 로고
    • Approximate models for ductile metals containing non-spherical voids - Case of axisymmetric oblate ellipsoidal cavities
    • M. Gologanu, J.-B. Leblond, and J. Devaux Approximate models for ductile metals containing non-spherical voids - case of axisymmetric oblate ellipsoidal cavities ASME J. Engrg. Mater. Technol. 116 1994 290 297
    • (1994) ASME J. Engrg. Mater. Technol. , vol.116 , pp. 290-297
    • Gologanu, M.1    Leblond, J.-B.2    Devaux, J.3
  • 10
    • 0002579792 scopus 로고    scopus 로고
    • Recent extensions of Gurson's model for porous ductile metals
    • P. Suquet, Continuum Micromechanics, Springer New York
    • M. Gologanu, J.-B. Leblond, G. Perrin, and J. Devaux Recent extensions of Gurson's model for porous ductile metals P. Suquet Continuum Micromechanics CISM Lectures Series 1997 Springer New York 61 130
    • (1997) CISM Lectures Series , pp. 61-130
    • Gologanu, M.1    Leblond, J.-B.2    Perrin, G.3    Devaux, J.4
  • 11
    • 0017417249 scopus 로고
    • Continuum theory of ductile rupture by void nucleation and growth: Part i - Yield criteria and flow rules for porous ductile media, ASME
    • A. Gurson Continuum theory of ductile rupture by void nucleation and growth: Part I - Yield criteria and flow rules for porous ductile media, ASME J. Engrg. Mater. Technol. 99 1977 2 15
    • (1977) J. Engrg. Mater. Technol. , vol.99 , pp. 2-15
    • Gurson, A.1
  • 12
    • 0026839715 scopus 로고
    • A constitutive model for isotropic, porous, elastic-viscoplastic metals
    • M. Haghi, and L. Anand A constitutive model for isotropic, porous, elastic-viscoplastic metals Mech. Mater. 13 1992 37 53
    • (1992) Mech. Mater. , vol.13 , pp. 37-53
    • Haghi, M.1    Anand, L.2
  • 13
    • 0032016962 scopus 로고    scopus 로고
    • A general constitutive theory for linear and nonlinear particulate media with microstructure evolution
    • M. Kaisalam, and P. Ponte Castañeda A general constitutive theory for linear and nonlinear particulate media with microstructure evolution J. Mech. Phys. Solids 46 1998 427 465
    • (1998) J. Mech. Phys. Solids , vol.46 , pp. 427-465
    • Kaisalam, M.1    Ponte Castañeda, P.2
  • 14
    • 0346331509 scopus 로고    scopus 로고
    • Growth and coalescence of non-spherical voids in metals deformed at elevated temperatures
    • H. Klöcker, and V. Tvergaard Growth and coalescence of non-spherical voids in metals deformed at elevated temperatures Int. J. Mech. Sci. 45 2003 1283 1308
    • (2003) Int. J. Mech. Sci. , vol.45 , pp. 1283-1308
    • Klöcker, H.1    Tvergaard, V.2
  • 15
    • 0028259477 scopus 로고
    • Exact results and approximate models for porous viscoplastic solids
    • J.B. Leblond, G. Perrin, and P. Suquet Exact results and approximate models for porous viscoplastic solids Int. J. Plasticity 10 1994 213 235
    • (1994) Int. J. Plasticity , vol.10 , pp. 213-235
    • Leblond, J.B.1    Perrin, G.2    Suquet, P.3
  • 16
    • 0027557760 scopus 로고
    • Modeling ductile void growth in viscoplastic materials
    • Y.S. Lee, and P.R. Dawson Modeling ductile void growth in viscoplastic materials I: Void growth model. Mech. Mater. 15 1993 21 34
    • (1993) I: Void Growth Model. Mech. Mater. , vol.15 , pp. 21-34
    • Lee, Y.S.1    Dawson, P.R.2
  • 17
    • 23344439761 scopus 로고
    • Potentiel viscoplastique d'un milieu poreux et croissance de cavités
    • C. Licht, and P. Suquet Potentiel viscoplastique d'un milieu poreux et croissance de cavités C. R. Acad. Sci. Paris, Ser. II 306 1988 327 330
    • (1988) C. R. Acad. Sci. Paris, Ser. II , vol.306 , pp. 327-330
    • Licht, C.1    Suquet, P.2
  • 18
    • 0000619150 scopus 로고
    • Growth of voids in a nonlinear viscous material at arbitrary void volume fraction: A simple model
    • C. Licht, and P. Suquet Growth of voids in a nonlinear viscous material at arbitrary void volume fraction: a simple model Arch. Mech. 40 1988 741 757
    • (1988) Arch. Mech. , vol.40 , pp. 741-757
    • Licht, C.1    Suquet, P.2
  • 19
    • 0000152391 scopus 로고
    • The constitutive law of nonlinear viscous and porous materials
    • J.C. Michel, and P. Suquet The constitutive law of nonlinear viscous and porous materials J. Mech. Phys. Solids 40 1992 783 812
    • (1992) J. Mech. Phys. Solids , vol.40 , pp. 783-812
    • Michel, J.C.1    Suquet, P.2
  • 20
    • 84973709298 scopus 로고
    • A cylindrical void growth model in viscoplastic materials
    • K.L. Pan, and Z.P. Huang A cylindrical void growth model in viscoplastic materials Int. J. Damage Mech. 3 1994 87 106
    • (1994) Int. J. Damage Mech. , vol.3 , pp. 87-106
    • Pan, K.L.1    Huang, Z.P.2
  • 21
    • 44949277378 scopus 로고
    • The effective mechanical properties of nonlinear isotropic materials
    • P. Ponte Castañeda The effective mechanical properties of nonlinear isotropic materials J. Mech. Phys. Solids 39 1991 45 71
    • (1991) J. Mech. Phys. Solids , vol.39 , pp. 45-71
    • Ponte Castañeda, P.1
  • 22
    • 0028496294 scopus 로고
    • Constitutive models for porous materials with evolving microstructure
    • P. Ponte Castañeda, and M. Zaidman Constitutive models for porous materials with evolving microstructure J. Mech. Phys. Solids 42 1994 1459 1497
    • (1994) J. Mech. Phys. Solids , vol.42 , pp. 1459-1497
    • Ponte Castañeda, P.1    Zaidman, M.2
  • 23
    • 0030127675 scopus 로고    scopus 로고
    • The finite deformation of nonlinear composite materials. I. Instantaneous constitutive relations
    • P. Ponte Castañeda, and M. Zaidman The finite deformation of nonlinear composite materials. I. Instantaneous constitutive relations Int. J. Solids Structures 33 1996 1271 1286
    • (1996) Int. J. Solids Structures , vol.33 , pp. 1271-1286
    • Ponte Castañeda, P.1    Zaidman, M.2
  • 24
    • 0033640504 scopus 로고    scopus 로고
    • Mechanical and numerical modeling of a porous elastic-viscoplastic material with tensile failure
    • M.B. Rubin, O.Y. Vorobiev, and L.A. Glenn Mechanical and numerical modeling of a porous elastic-viscoplastic material with tensile failure Int. J. Solids Structures 37 2000 1841 1871
    • (2000) Int. J. Solids Structures , vol.37 , pp. 1841-1871
    • Rubin, M.B.1    Vorobiev, O.Y.2    Glenn, L.A.3
  • 25
    • 83755216235 scopus 로고
    • Creep of power-law material containing spherical voids
    • P. Sofronis, and R.M. McMeeking Creep of power-law material containing spherical voids ASME J. Appl. Mech. 59 1991 S88 S95
    • (1991) ASME J. Appl. Mech. , vol.59
    • Sofronis, P.1    McMeeking, R.M.2
  • 26
    • 0026760060 scopus 로고
    • Bounds for the overall potential of power-law materials containing voids with an arbitrary shape
    • P. Suquet Bounds for the overall potential of power-law materials containing voids with an arbitrary shape Mech. Res. Comm. 19 1992 51 58
    • (1992) Mech. Res. Comm. , vol.19 , pp. 51-58
    • Suquet, P.1
  • 27
    • 0002023333 scopus 로고
    • Variational principles for inhomogeneous nonlinear media
    • D.R.S. Talbot, and J. Willis Variational principles for inhomogeneous nonlinear media IMA J. Appl. Math. 35 1985 39 54
    • (1985) IMA J. Appl. Math. , vol.35 , pp. 39-54
    • Talbot, D.R.S.1    Willis, J.2
  • 28
    • 0026626201 scopus 로고
    • Some simple explicit bounds for the overall behaviour of nonlinear composites
    • D.R.S. Talbot, and J. Willis Some simple explicit bounds for the overall behaviour of nonlinear composites J. Solids Structures 29 1992 1981 1987
    • (1992) J. Solids Structures , vol.29 , pp. 1981-1987
    • Talbot, D.R.S.1    Willis, J.2
  • 29
    • 0019602346 scopus 로고
    • Influence of voids on shear band instabilities under plane strain conditions
    • V. Tvergaard Influence of voids on shear band instabilities under plane strain conditions Int. J. Fracture 17 1981 389 407
    • (1981) Int. J. Fracture , vol.17 , pp. 389-407
    • Tvergaard, V.1
  • 30
    • 0017502751 scopus 로고
    • Bounds and self-consistent estimates for the overall properties of anisotropic composites
    • J. Willis Bounds and self-consistent estimates for the overall properties of anisotropic composites J. Mech. Phys. Solids 25 1977 185 202
    • (1977) J. Mech. Phys. Solids , vol.25 , pp. 185-202
    • Willis, J.1
  • 31
    • 0001962658 scopus 로고
    • On methods for bounding the overall properties of nonlinear composites
    • J. Willis On methods for bounding the overall properties of nonlinear composites J. Mech. Phys. Solids 39 1991 73 86
    • (1991) J. Mech. Phys. Solids , vol.39 , pp. 73-86
    • Willis, J.1
  • 32
    • 0030126536 scopus 로고    scopus 로고
    • The finite deformation of nonlinear composite materials. II. Evolution of the microstructure
    • M. Zaidman, and P. Ponte Castañeda The finite deformation of nonlinear composite materials. II. Evolution of the microstructure Int. J. Solids Structures 33 1996 1287 1303
    • (1996) Int. J. Solids Structures , vol.33 , pp. 1287-1303
    • Zaidman, M.1    Ponte Castañeda, P.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.