메뉴 건너뛰기




Volumn 60, Issue 6, 2009, Pages 1112-1134

Anisotropic stress-softening model for compressible solids

Author keywords

Anisotropic stress softening; Compressible; Constitutive model; Mullins effect; Non linear

Indexed keywords

ANISOTROPIC STRAIN; ANISOTROPIC STRESS; ANISOTROPIC THEORY; ANISOTROPIC-STRESS-SOFTENING; BULK COMPRESSIONS; CAVITATION DAMAGE; CLAUSIUS-DUHEM INEQUALITY; COMPRESSIBLE; COMPRESSIBLE MATERIAL; CONSTITUTIVE THEORY; DAMAGE FUNCTIONS; EXPERIMENTAL DATA; FREE ENERGY FUNCTION; MULLINS EFFECT; NON- LINEAR; PRINCIPAL DIRECTIONS; PRINCIPAL STRETCH; SIMPLE SHEAR; SPECIAL FORMS; STRESS SOFTENING; STRUCTURAL TENSORS; TENSION DEFORMATION; THEORETICAL RESULT; UNIAXIAL TENSIONS; VIRGIN MATERIALS; VOLUME CHANGE;

EID: 70449535730     PISSN: 00442275     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00033-009-7157-z     Document Type: Article
Times cited : (12)

References (18)
  • 1
    • 0001611158 scopus 로고
    • Effect of stretching on the properties of rubber
    • L. Mullins, Effect of stretching on the properties of rubber. J. Rubber Res. 16 (1947), 275- 289.
    • (1947) J. Rubber Res. , vol.16 , pp. 275-289
    • Mullins, L.1
  • 2
    • 0026859383 scopus 로고
    • Linear finite-element equations for nonlinear deformations of slightly compressible elastic material
    • M. H. B. M. Shariff, Linear finite-element equations for nonlinear deformations of slightly compressible elastic material. Q. J. Mech. Appl. Math. 45 (1992), 169-181.
    • (1992) Q. J. Mech. Appl. Math. , vol.45 , pp. 169-181
    • Shariff, M.H.B.M.1
  • 3
    • 0026887410 scopus 로고
    • Finite deformation of compressible bonded rubber mounts
    • C. J. S. Petrie & M. H. B. M. Shariff, Finite deformation of compressible bonded rubber mounts. J. Strain Analysis 27 (1992), 157-169.
    • (1992) J. Strain Analysis , vol.27 , pp. 157-169
    • Petrie, C.J.S.1    Shariff, M.H.B.M.2
  • 4
    • 0033687352 scopus 로고    scopus 로고
    • The Mullins effect in compressible solids
    • S. Krishnaswamy & M. F. Beatty, The Mullins effect in compressible solids. Int. J. Eng. Science 38 (2000), 1397-1414.
    • (2000) Int. J. Eng. Science , vol.38 , pp. 1397-1414
    • Krishnaswamy, S.1    Beatty, M.F.2
  • 5
    • 0037187260 scopus 로고    scopus 로고
    • Shear, compressive and dilational response in rubberlike solids subjected to cavitation damage
    • A. Dorfmann, K. N. G. Fuller & R. W. Ogden, Shear, compressive and dilational response in rubberlike solids subjected to cavitation damage. Int. J. Solids Struct. 39 (2002), 1845-1861.
    • (2002) Int. J. Solids Struct. , vol.39 , pp. 1845-1861
    • Dorfmann, A.1    Fuller, K.N.G.2    Ogden, R.W.3
  • 6
    • 0348146389 scopus 로고    scopus 로고
    • Stress softening of elastomers in hydrostatic tension
    • A. Dorfmann, Stress softening of elastomers in hydrostatic tension. Acta Mecanica 165 (2003),117-137.
    • (2003) Acta Mecanica , vol.165 , pp. 117-137
    • Dorfmann, A.1
  • 7
    • 33846655418 scopus 로고    scopus 로고
    • An anisotropic model of the Mullins effect
    • M. H. B. M. Shariff, An anisotropic model of the Mullins effect. J. of Engng. Maths. 56 (2006),415-435.
    • (2006) J. of Engng. Maths. , vol.56 , pp. 415-435
    • Shariff, M.H.B.M.1
  • 8
    • 0034144440 scopus 로고    scopus 로고
    • An extension of Key's principle to nonlinear elasticity
    • M. H. B. M. Shariff & D. F. Parker, An extension of Key's principle to nonlinear elasticity. J. of Engng. Maths. 37 (2000), 171-190.
    • (2000) J. of Engng. Maths. , vol.37 , pp. 171-190
    • Shariff, M.H.B.M.1    Parker, D.F.2
  • 9
    • 2542630318 scopus 로고    scopus 로고
    • A theory of stress softening of elastomers based on finite chain extensibility
    • London
    • C. O. Horgan, R. W. Ogden & G. Saccomandi, A theory of stress softening of elastomers based on finite chain extensibility. Proc. R. Soc. London A 460 (2004), 1737-1754.
    • (2004) Proc. R. Soc. , vol.A 460 , pp. 1737-1754
    • Horgan, C.O.1    Ogden, R.W.2    Saccomandi, G.3
  • 10
    • 0033723548 scopus 로고    scopus 로고
    • A theory of stress-softening in incompressible isotropic materials
    • M. F. Beatty & S. Krishnaswamy, A theory of stress-softening in incompressible isotropic materials. J. Mech. Phys. Solids 48 (2000), 1931-1965.
    • (2000) J. Mech. Phys. Solids , vol.48 , pp. 1931-1965
    • Beatty, M.F.1    Krishnaswamy, S.2
  • 11
    • 33746426645 scopus 로고    scopus 로고
    • A pseudo-elastic model for the Mullins effect in filled rubber
    • R. W. Ogden & D. G. Roxburgh, A pseudo-elastic model for the Mullins effect in filled rubber. Proc. R. Soc. Lond. A 455 (1999), 2861-2877.
    • (1999) Proc. R. Soc. Lond. , vol.A 455 , pp. 2861-2877
    • Ogden, R.W.1    Roxburgh, D.G.2
  • 12
    • 70449535349 scopus 로고    scopus 로고
    • A new model for anisotropic damage in concrete and its application to prediction of failure of some containment vessel. Proceedings of the 18th
    • Beijing, China, August 7-12 (2005)
    • P. Badel, V. Godard, & J. Leblond, A new model for anisotropic damage in concrete and its application to prediction of failure of some containment vessel. Proceedings of the 18th Int. Conf. on Structural Mechanics in Reactor Technology, Beijing, China, August 7-12 (2005), pp. 1-15.
    • (2005) Int. Conf. on Structural Mechanics in Reactor Technology , pp. 1-15
    • Badel, P.1    Godard, V.2    Leblond, J.3
  • 13
    • 0021627799 scopus 로고
    • Constitutive theory of strongly anisotropic solids
    • In: A. J. M. Spencer (ed.), (Chapter IX), CISM Courses and Lectures No, Springer, Wien
    • A. J. M. Spencer, Constitutive theory of strongly anisotropic solids. In: A. J. M. Spencer (ed.), Constitutive Theory of the Mechanics of Fiber Reinforced Composites, (Chapter IX), CISM Courses and Lectures No. 282. Springer, Wien 1984, pp.1-32.
    • (1984) Constitutive Theory of the Mechanics of Fiber Reinforced Composites , vol.282 , pp. 1-32
    • Spencer, A.J.M.1
  • 14
    • 0001416793 scopus 로고
    • Theory of invariants
    • In: A. C. Eringen (ed.), (Part III). Academic Press, New York
    • A. J. M. Spencer, Theory of invariants. In: A. C. Eringen (ed.), Continuum Physics I, (Part III). Academic Press, New York 1971, pp. 239-353.
    • (1971) Continuum Physics I , pp. 239-353
    • Spencer, A.J.M.1
  • 15
    • 43049101695 scopus 로고    scopus 로고
    • Nonlinear transversely isotropic solid: An alternative representation
    • M. H. B. M. Shariff, Nonlinear transversely isotropic solid: an alternative representation. Q. J. Mech. Appl. Math. 61(2) (2008), 129-149.
    • (2008) Q. J. Mech. Appl. Math. , vol.61 , Issue.2 , pp. 129-149
    • Shariff, M.H.B.M.1
  • 16
    • 0034155811 scopus 로고    scopus 로고
    • Strain energy function for filled and unfilled rubberlike material. Rubber
    • M. H. B. M. Shariff, Strain energy function for filled and unfilled rubberlike material. Rubber Chem. Technol. 73 (2000), 1-21.
    • (2000) Chem. Technol. , vol.73 , pp. 1-21
    • Shariff, M.H.B.M.1
  • 17
    • 0032066417 scopus 로고    scopus 로고
    • Constitutive modelling of the large strain time-dependent behaviour of elastomers
    • J. S. Bergstrom & M. C. Boyce, Constitutive modelling of the large strain time-dependent behaviour of elastomers. J. Mech. Phys. Solids 46 (1998), 931-954.
    • (1998) J. Mech. Phys. Solids , vol.46 , pp. 931-954
    • Bergstrom, J.S.1    Boyce, M.C.2
  • 18
    • 70449536320 scopus 로고    scopus 로고
    • Material directional based consitutive law for Mullins induced anisotropy
    • In: Austrell, P-E. & Kari, L (eds), A. A. Balkema, Leiden
    • M. Brieu & J. Diani, Material directional based consitutive law for Mullins induced anisotropy. In: Austrell, P-E. & Kari, L (eds), Constitutive Models for Rubber IV. A. A. Balkema, Leiden 2005 pp. 257-261.
    • (2005) Constitutive Models for Rubber IV , pp. 257-261
    • Brieu, M.1    Diani, J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.