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Volumn 48, Issue 8, 1995, Pages 471-485

Cavitation in nonlinearly elastic solids: A review

Author keywords

[No Author keywords available]

Indexed keywords


EID: 84997133578     PISSN: 00036900     EISSN: None     Source Type: Journal    
DOI: 10.1115/1.3005108     Document Type: Review
Times cited : (219)

References (52)
  • 1
    • 0024621363 scopus 로고
    • Growth of an infinitesimal cavity in a rate-dependent solid
    • Abeyaratne, R and Hou, H-s (1989), Growth of an infinitesimal cavity in a rate-dependent solid, J Appl Mech, 56, 40-46.
    • (1989) J Appl Mech , vol.56 , pp. 40-46
    • Abeyaratne, R.1    Hou, H.-S.2
  • 2
    • 3943059299 scopus 로고
    • Void collapse in an elastic solid
    • Abeyaratne, R and Hou, H-s (1991a), Void collapse in an elastic solid, J Elasticity, 26, 23-42.
    • (1991) J Elasticity , vol.26 , pp. 23-42
    • Abeyaratne, R.1    Hou, H.-S.2
  • 3
    • 0001414571 scopus 로고
    • On the occurrence of the cavitation instability relative to the asymmetric instability under symmetric dead-load conditions
    • Abeyaratne, R and Hou, H-s (1991b), On the occurrence of the cavitation instability relative to the asymmetric instability under symmetric dead-load conditions, Q J Mech Appl Math, 44, 429-449.
    • (1991) Q J Mech Appl Math , vol.44 , pp. 429-449
    • Abeyaratne, R.1    Hou, H.-S.2
  • 4
    • 0023211703 scopus 로고
    • The remarkable nature of radially symmetric equilibrium states of aeolotropic nonlinearly elastic bodies
    • Antman, S S and Negron-Marrero, P V (1987), The remarkable nature of radially symmetric equilibrium states of aeolotropic nonlinearly elastic bodies, J Elasticity, 18, 131-164.
    • (1987) J Elasticity , vol.18 , pp. 131-164
    • Antman, S.S.1    Negron-Marrero, P.V.2
  • 5
    • 0019902788 scopus 로고
    • Discontinuous equilibrium solutions and cavitation in nonlinear elasticity
    • Ball, I M (1982), Discontinuous equilibrium solutions and cavitation in nonlinear elasticity, Phil Trans R Soc Load, A 306, 557-610.
    • (1982) Phil Trans R Soc Load, A , vol.306 , pp. 557-610
    • Ball, I.M.1
  • 6
    • 0028444456 scopus 로고
    • Effect of constitutive parameters on formation of a spherical void in a compressible nonlinear elastic material
    • Biwa, S, Matsumoto, E, and Shibata, T (1994), Effect of constitutive parameters on formation of a spherical void in a compressible nonlinear elastic material, JAppl Mech, 61, 395-401.
    • (1994) Jappl Mech , vol.61 , pp. 395-401
    • Biwa, S.1    Matsumoto, E.2    Shibata, T.3
  • 7
    • 0024944658 scopus 로고
    • Void nucleation and growth for a class of incompressible nonlinearly elastic materials
    • Chou-Wang, M-S and Horgan, C O (1989a), Void nucleation and growth for a class of incompressible nonlinearly elastic materials, Int. J Solids and Structures, 25, 1239-1254.
    • (1989) Int. J Solids and Structures , vol.25 , pp. 1239-1254
    • Chou-Wang, M.-S.1    Horgan, C.O.2
  • 8
    • 0024928081 scopus 로고
    • Cavitation in nonlinear elasto-dynamics for neo-Hookean materials
    • Chou-Wang, M-S and Horgan, C O (1989b), Cavitation in nonlinear elasto-dynamics for neo-Hookean materials, Int J Engineering Science, 27, 967-973.
    • (1989) Int J Engineering Science , vol.27 , pp. 967-973
    • Chou-Wang, M.-S.1    Horgan, C.O.2
  • 9
    • 0022862790 scopus 로고
    • The finite deformation of internally pressurized hollow cylinders and spheres for a class of compressible elastic materials
    • Chung, D-T, Horgan, C O and Abeyaratne, R (1986), The finite deformation of internally pressurized hollow cylinders and spheres for a class of compressible elastic materials, Int J Solids and Structures, 22, 1557-1570.
    • (1986) Int J Solids and Structures , vol.22 , pp. 1557-1570
    • Chung, D.-T.1    Horgan, C.O.2    Abeyaratne, R.3
  • 10
    • 0023592795 scopus 로고
    • A note on a bifurcation problem in finite plasticity related to void nucleation
    • Chung, D-T, Horgan, C O and Abeyaratne, R (1987), A note on a bifurcation problem in finite plasticity related to void nucleation, Int J Solids and Structures, 23, 983-988.
    • (1987) Int J Solids and Structures , vol.23 , pp. 983-988
    • Chung, D.-T.1    Horgan, C.O.2    Abeyaratne, R.3
  • 11
    • 0024048289 scopus 로고
    • Influence of compressibility and hardening on cavitation
    • Ertan, N (1988), Influence of compressibility and hardening on cavitation, ASCE J of Engineering Mechanics, 114, 1231-1244.
    • (1988) ASCE J of Engineering Mechanics , vol.114 , pp. 1231-1244
    • Ertan, N.1
  • 12
    • 0002309591 scopus 로고
    • Cavitation in rubber: A cautionary tale
    • Gent, A N (1990), Cavitation in rubber: a cautionary tale, Rubber Chem Technol 63, G49-G53.
    • (1990) Rubber Chem Technol , vol.63 , pp. G49-G53
    • Gent, A.N.1
  • 13
    • 0000951184 scopus 로고
    • Internal rupture of bonded rubber cylinders in tension
    • Gent, A N and Lindley, P B (1958), Internal rupture of bonded rubber cylinders in tension, Proc R Soc Lond A 249, 195-205.
    • (1958) Proc R Soc Lond A , vol.249 , pp. 195-205
    • Gent, A.N.1    Lindley, P.B.2
  • 14
    • 0002230428 scopus 로고
    • Cartesian currents, weak diffeomorphisms and existence theorems in nonlinear elasticity
    • Giaquinta, M, Modica, G and Soucek, J (1989), Cartesian currents, weak diffeomorphisms and existence theorems in nonlinear elasticity, Arch RatMechAnai, 106, 97-159.
    • (1989) Arch Ratmechanai , vol.106 , pp. 97-159
    • Giaquinta, M.1    Modica, G.2    Soucek, J.3
  • 15
    • 0022722473 scopus 로고
    • On non-existence of cavitation in incompressible elastic membranes
    • Haughton, D M (1986), On non-existence of cavitation in incompressible elastic membranes, Q J Mech Appl Math, 39, 289-296.
    • (1986) Q J Mech Appl Math , vol.39 , pp. 289-296
    • Haughton, D.M.1
  • 16
    • 0025561078 scopus 로고
    • Cavitation in compressible elastic membranes
    • Haughton, D M (1990), Cavitation in compressible elastic membranes, Int J of Engineering Science, 28, 163-168.
    • (1990) Int J of Engineering Science , vol.28 , pp. 163-168
    • Haughton, D.M.1
  • 17
    • 0005025047 scopus 로고
    • Some remarks on axisymmetric solutions in finite elastostatics for compressible materials
    • (invited paper in P M Quinlan Birthday issue)
    • Horgan, C O (1989), Some remarks on axisymmetric solutions in finite elastostatics for compressible materials, Proceedings of the Royal Irish Academy, Section A (invited paper in P M Quinlan Birthday issue) 89, 185-193
    • (1989) Proceedings of the Royal Irish Academy, Section A , vol.89 , pp. 185-193
    • Horgan, C.O.1
  • 18
    • 0026678911 scopus 로고
    • Void nucleation and growth for compressible nonlinearly elastic materials: An example
    • Horgan, C O (1992), Void nucleation and growth for compressible nonlinearly elastic materials: an example, Int J Solids and Structures, 29, 279-291.
    • (1992) Int J Solids and Structures , vol.29 , pp. 279-291
    • Horgan, C.O.1
  • 19
    • 85025221934 scopus 로고
    • On axisymmetric solutions for compressible nonlinearly elastic solids
    • Horgan, C O (1995), On axisymmetric solutions for compressible nonlinearly elastic solids, ZAMP (in press).
    • (1995) ZAMP (In press)
    • Horgan, C.O.1
  • 20
    • 0022603243 scopus 로고
    • A bifurcation problem for a compressible nonlinearly elastic medium: Growth of a micro-void
    • Horgan, C O and Abeyaratne, R (1986), A bifurcation problem for a compressible nonlinearly elastic medium: growth of a micro-void, J Elasticity, 16, 189-200.
    • (1986) J Elasticity , vol.16 , pp. 189-200
    • Horgan, C.O.1    Abeyaratne, R.2
  • 21
    • 0024774136 scopus 로고
    • Void nucleation in tensile deadloading of a composite incompressible nonlinearly elastic sphere
    • Horgan, C O and Pence, T J (1989a), Void nucleation in tensile deadloading of a composite incompressible nonlinearly elastic sphere, J Elasticity, 21, 61-82.
    • (1989) J Elasticity , vol.21 , pp. 61-82
    • Horgan, C.O.1    Pence, T.J.2
  • 22
    • 0024682499 scopus 로고
    • Cavity formation at the center of a composite incompressible nonlinearly elastic sphere
    • Horgan, C O and Pence, T J (1989b), Cavity formation at the center of a composite incompressible nonlinearly elastic sphere, JAppl Mech, 56, 302-308.
    • (1989) Jappl Mech , vol.56 , pp. 302-308
    • Horgan, C.O.1    Pence, T.J.2
  • 23
    • 84909850745 scopus 로고
    • Void nucleation due to large deformations in nonlinearly elastic composites
    • Washington, DC, June 1988 (ed. by Vinson, J R), Technomic Publishing Co, Lancaster, PA
    • Horgan, C O and Pence, T I (1989c), Void nucleation due to large deformations in nonlinearly elastic composites, Proceedings of the 4th Japan-US Conference on Composite Materials, Washington, DC, June 1988 (ed. by Vinson, J R), 232-241 Technomic Publishing Co, Lancaster, PA.
    • (1989) Proceedings of the 4Th Japan-Us Conference on Composite Materials , pp. 232-241
    • Horgan, C.O.1    Pence, T.I.2
  • 24
    • 0027553298 scopus 로고
    • A study of combined asymmetric and cavitated bifurcations in neo-Hookean material under symmetric dead loading
    • Hou, H-s (1993), A study of combined asymmetric and cavitated bifurcations in neo-Hookean material under symmetric dead loading, J Appl Mech, 60, 1-7.
    • (1993) J Appl Mech , vol.60 , pp. 1-7
    • Hou, H.-S.1
  • 25
    • 44049120248 scopus 로고
    • Cavitation in elastic and elastic-plastic solids
    • Hou, H-s and Abeyaratne, R (1992), Cavitation in elastic and elastic-plastic solids, J Mech Phys Solids, 40, 571-592.
    • (1992) J Mech Phys Solids , vol.40 , pp. 571-592
    • Hou, H.-S.1    Abeyaratne, R.2
  • 26
    • 0025535670 scopus 로고
    • The effect of axial stretch on cavitation in an elastic cylinder
    • Hou, H-s and Zhang, Y (1990), The effect of axial stretch on cavitation in an elastic cylinder, Int J Nonlinear Mechanics 25, 715-722.
    • (1990) Int J Nonlinear Mechanics , vol.25 , pp. 715-722
    • Hou, H.-S.1    Zhang, Y.2
  • 27
    • 0003044526 scopus 로고
    • Cavitation instabilities in elastic-plastic solids
    • Huang, Y, Hutchinson, J W and Tvergaard, V (1991), Cavitation instabilities in elastic-plastic solids, J Mech Phys Solids 39, 223-242.
    • (1991) J Mech Phys Solids , vol.39 , pp. 223-242
    • Huang, Y.1    Hutchinson, J.W.2    Tvergaard, V.3
  • 28
    • 0001102578 scopus 로고
    • The formation of filamentary voids in solids
    • James, R D and Spector, S J (1991), The formation of filamentary voids in solids, J Mech Phys Solids 39, 783-814.
    • (1991) J Mech Phys Solids , vol.39 , pp. 783-814
    • James, R.D.1    Spector, S.J.2
  • 29
    • 0017542772 scopus 로고
    • The finite anti-plane shear field near the tip of a crack for a class of incompressible elastic solids
    • Knowles, J K (1977), The finite anti-plane shear field near the tip of a crack for a class of incompressible elastic solids, Int J Fracture, 13, 611-639.
    • (1977) Int J Fracture , vol.13 , pp. 611-639
    • Knowles, J.K.1
  • 30
    • 0042922214 scopus 로고
    • The stored-energy for some discontinuous deformations in nonlinear elasticity
    • (F Colombini et al, eds), Birkhauser, Basel
    • Marcellini, P (1989), The stored-energy for some discontinuous deformations in nonlinear elasticity, Partial Differential Equations and the Calculus of Variations, Vol II, (F Colombini et al, eds), 767-786, Birkhauser, Basel
    • (1989) Partial Differential Equations and the Calculus of Variations , pp. 767-786
    • Marcellini, P.1
  • 31
    • 0005093902 scopus 로고
    • Existence and nonexistence results on the radially symmetric cavitation problem
    • Meynard, F (1992), Existence and nonexistence results on the radially symmetric cavitation problem, Quart Appl Math 50, 201-226.
    • (1992) Quart Appl Math , vol.50 , pp. 201-226
    • Meynard, F.1
  • 33
  • 34
    • 2342473526 scopus 로고
    • The numerical computation of singular minimizers in two-dimensional elasticity
    • Negron-Marrero, P V and Betancourt, O (1994), The numerical computation of singular minimizers in two-dimensional elasticity, J of Computational Physics, 113, 291-303.
    • (1994) J of Computational Physics , vol.113 , pp. 291-303
    • Negron-Marrero, P.V.1    Betancourt, O.2
  • 35
    • 0005025592 scopus 로고
    • Nonuniqueness for a hyperbolic system: Cavitation in nonlinear elastodynamics
    • Pericak-Spector, K A and Spector, S J (1988), Nonuniqueness for a hyperbolic system: cavitation in nonlinear elastodynamics, Arch Rat Mech Anal, 101, 293-317.
    • (1988) Arch Rat Mech Anal , vol.101 , pp. 293-317
    • Pericak-Spector, K.A.1    Spector, S.J.2
  • 36
    • 0022442921 scopus 로고
    • Discontinuous energy minimizers in nonlinear elastostatics: An example of J. Ball revisited
    • Podio-Guidugli, P, Vergara Caffarelli, G and Virga, E G (1986), Discontinuous energy minimizers in nonlinear elastostatics: an example of J. Ball revisited, J Elasticity, 16, 75-96.
    • (1986) J Elasticity , vol.16 , pp. 75-96
    • Podio-Guidugli, P.1    Vergara Caffarelli, G.2    Virga, E.G.3
  • 37
    • 0027685588 scopus 로고
    • Cavitation for incompressible anisotropic nonlinearly elastic spheres
    • Polignone, D A and Horgan, C O (1993a), Cavitation for incompressible anisotropic nonlinearly elastic spheres, J Elasticity, 33, 27-65.
    • (1993) J Elasticity , vol.33 , pp. 27-65
    • Polignone, D.A.1    Horgan, C.O.2
  • 38
    • 0027835970 scopus 로고
    • Effects of material anisotropy and inhomogeneity on cavitation for composite incompressible anisotropic nonlinearly elastic spheres
    • Polignone, D A and Horgan, C O (1993b), Effects of material anisotropy and inhomogeneity on cavitation for composite incompressible anisotropic nonlinearly elastic spheres, Int J Solids and Structures, 30, 3381-3416.
    • (1993) Int J Solids and Structures , vol.30 , pp. 3381-3416
    • Polignone, D.A.1    Horgan, C.O.2
  • 39
    • 0028074151 scopus 로고
    • The finite deformation field surrounding a mode I plane strain crack in a hyperelastic incompressible material under small-scale nonlinearity
    • Quigley, C J and Parks, D M (1994), The finite deformation field surrounding a mode I plane strain crack in a hyperelastic incompressible material under small-scale nonlinearity, Int J Fracture, 65, 75-96.
    • (1994) Int J Fracture , vol.65 , pp. 75-96
    • Quigley, C.J.1    Parks, D.M.2
  • 40
    • 0022876228 scopus 로고
    • Uniqueness of regular and singular equilibria for spherically symmetric problems of nonlinear elasticity
    • Sivaloganathan, J (1986a), Uniqueness of regular and singular equilibria for spherically symmetric problems of nonlinear elasticity, Arch Ration Mech Analysis, 96, 97-136.
    • (1986) Arch Ration Mech Analysis , vol.96 , pp. 97-136
    • Sivaloganathan, J.1
  • 41
    • 84974399477 scopus 로고
    • A field theory approach to stability of radial equilibria in nonlinear elasticity
    • Sivaloganathan J (1986b), A field theory approach to stability of radial equilibria in nonlinear elasticity, Math Proc Camb Phil Soc, 99, 589-604.
    • (1986) Math Proc Camb Phil Soc , vol.99 , pp. 589-604
    • Sivaloganathan, J.1
  • 42
    • 0347453771 scopus 로고
    • Cavitation, the incompressible limit, and material inhomogeneity
    • Sivaloganathan, J (1992a), Cavitation, the incompressible limit, and material inhomogeneity, Quart Appl Math 49, 521-541.
    • (1992) Quart Appl Math , vol.49 , pp. 521-541
    • Sivaloganathan, J.1
  • 43
    • 85013157855 scopus 로고
    • Singular minimizers in the calculus of variations: A degenerate form of cavitation
    • Sivaloganathan, J (1992b), Singular minimizers in the calculus of variations: a degenerate form of cavitation, Ann Inst Henri Poincare-Analyse non lineare, 9, 657-681.
    • (1992) Ann Inst Henri Poincare-Analyse Non Lineare , vol.9 , pp. 657-681
    • Sivaloganathan, J.1
  • 44
    • 0026913327 scopus 로고
    • Cavitation in elastic membranes-an example
    • Steigmann, D J (1992), Cavitation in elastic membranes-an example, J Elasticity, 28, 277-287.
    • (1992) J Elasticity , vol.28 , pp. 277-287
    • Steigmann, D.J.1
  • 45
    • 0024683370 scopus 로고
    • Cavitation in an elastomer: Comparison of theory with experiment
    • Stringfellow, R and Abeyaratne, R (1989), Cavitation in an elastomer: comparison of theory with experiment, Materials Science and Engineering, A112, 127-131.
    • (1989) Materials Science and Engineering , vol.A112 , pp. 127-131
    • Stringfellow, R.1    Abeyaratne, R.2
  • 46
    • 84937896153 scopus 로고
    • Radially symmetric cavitation for hyperelastic materials
    • Stuart, C A (1985), Radially symmetric cavitation for hyperelastic materials, Ann Inst Henri Poincare-Analyse non lineare, 2, 33-66.
    • (1985) Ann Inst Henri Poincare-Analyse Non Lineare , vol.2 , pp. 33-66
    • Stuart, C.A.1
  • 47
    • 0042722605 scopus 로고
    • Estimating the critical radius for radially symmetric cavitation
    • Stuart, C A (1993), Estimating the critical radius for radially symmetric cavitation, Quart Appl Math 51, 251-263.
    • (1993) Quart Appl Math , vol.51 , pp. 251-263
    • Stuart, C.A.1
  • 48
    • 0025436458 scopus 로고
    • A theory of the appearance and growth of the microspherical void
    • Han-hu, H (1990), A theory of the appearance and growth of the microspherical void, Int J of Fracture, 43, R51-R55.
    • (1990) Int J of Fracture , vol.43 , pp. R51-R55
    • Han-Hu, H.1
  • 49
    • 77956849479 scopus 로고
    • Material failure by void growth to coalescence
    • (by J. Hutchinson and T Wu, Academic Press, San Diego
    • Tvergaard, V (1990), Material failure by void growth to coalescence, In Advances in Applied Mechanics (ed by J. Hutchinson and T Wu), vol 27, 83-151 Academic Press, San Diego.
    • (1990) Advances in Applied Mechanics , vol.27 , pp. 83-151
    • Tvergaard, V.1
  • 50
    • 0027858002 scopus 로고
    • Effect of initial void shape on the occurrence of cavitation instabilities in elastic-plastic solids
    • Tvergaard, V and Hutchinson, J W (1993), Effect of initial void shape on the occurrence of cavitation instabilities in elastic-plastic solids, J ApplMech, 60, 807-812.
    • (1993) J Applmech , vol.60 , pp. 807-812
    • Tvergaard, V.1    Hutchinson, J.W.2
  • 52
    • 0003856063 scopus 로고
    • Spherical flaw instability in hydrostatic tension
    • Williams, M L and Schapery, R A (1965), Spherical flaw instability in hydrostatic tension, Int J Fracture Mechanics, 1, 64-71.
    • (1965) Int J Fracture Mechanics , vol.1 , pp. 64-71
    • Williams, M.L.1    Schapery, R.A.2


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