평면 응력 상태에서 이등방성탄-소성 재료의 전단띠 형성

이행수; 임세영

Korean Journal of Rheology, Vol.7, No.2, 128-138, August, 1995

Export Citation

평면 응력 상태에서 이등방성탄-소성 재료의 전단띠 형성

Shear Band Formation in an Elasto - Plastic Orthotropic Material Under Plane Stress Deformation

이행수, 임세영

초록

본 논문에서는 전단띠 형성에 있어서 전단변형의 집중화 현상을 이방성 탄-소성 재료에 대해서 해석하였고 소성스핀과 비등방성이 전단띠 형성에 미치는 영향을 연구하였다. 평면응력 상태에서 소성스핀을 갖고 있는 이방성 탄-소성 재료에 대해서 재료 불안정 해석을 수행하여 변형률 집중화의 시작에 미치는 소성스핀과 비등방성의 효과를 연구하였다. 해석 결과 그 시작이 촉진되거나 지연되었고 전단띠 생성의 방향도 달라졌다.

The formation of strain localization in the form of shear banding is examined for an orthotropic elasto-plastic material for the purpose of studying the effect of the plastic spin and the anisotropy upon the strain Localization. The material instability analysis is carried out for an orthotropic elasto-plastic material with plastic spin in the state of plane stress. The results show that the plastic spin may hasten or delay the initiation of shear band development depending upon the deformation or loading type - compression or tension, the initial orientation of the orthotropic axes, and the algebraic sign of the plastic spin.

Keywords:Strain localization;orthotropic elasto-plastic materials;plastic spin;material instability analysis

[References]

Thomas TY, "Plastic Flow and Fracture in Solids," Academic Press (1961)
Hill R, J. Mech. Phys. Solids, 10, 1 (1962)
Rice JR, "The Localization of Plastic Deformation," Proc. 14th Int. Congr. Theoret. Appl. Mech., p. 207 (1977)
Rudnicki JW, Rice JR, J. Mech. Phys. Solids, 23, 371 (1975)
Storen S, Rice JR, J. Mech. Phys. Solids, 23, 421 (1975)
Needleman A, Rice JR, "Limits to Ductility set by Plastic Flow Localization. Mechanics of Sheet Metal Forming," Plenum Press, p. 237 (1978)
Nemet-Nasser S, Appl. Mech. Rev., 45, 19 (1992)
Mear ME, Hutchinson JW, Mech. Mater., 4, 395 (1985)
Tvergaard V, J. Mech. Phys. Solids, 35, 43 (1987)
Rice JR, Rudnicki JW, Int. J. Solids Struct., 16, 597 (1980)
Bigoni D, Zaccaria D, Int. J. Plasticity, 9, 21 (1993)
Lee YK, Int. J. Plasticity, 5, 197 (1989)
Loret B, Mech. Mater., 2, 287 (1983)
Dafaoas YF, J. Appl. Mech., 50, 561 (1983)
Dafalias YF, Mech. Mater., 3, 223 (1984)
Dafalias YF, J. Appl. Mech., 52, 865 (1985)
Im S, Atluri SN, Int. J. Plasticity, 3, 163 (1987)
Dafalias YF, "Orientational, Rate and Temperature Effects on the Plastic Response of Anisotropic Solids, Yielding, Damage and Failure of Anisotropic Solids," Mechanical Engineering Publications, Ltd., London, p. 359 (1990)
Dafalias YF, Int. J. Solids Struct., 26, 149 (1990)
Loret B, Dafalias YF, J. Mech. Phys. Solids, 40, 417 (1992)
Tvergaard V, J. Mech. Phys. Solids, 39, 763 (1991)
Zhu H, Zbib HM, Aifantis EC, Appl. Mech. Rev., 45, 110 (1992)
Liu IS, Int. J. Eng. Sci., 20, 1099 (1982)
Hill R, J. Mech. Phys. Solids, 6, 236 (1958)
Raniecki B, Bruhns OT, J. Mech. Phys. Solids, 29, 153 (1981)
Stickels CA, Mould PR, Met. Trans., 1, 1303 (1970)
Hill R, J. Mech. Phys. Solids, 1, 19 (1952)

[1] Thomas TY, "Plastic Flow and Fracture in Solids," Academic Press (1961)

[2] Hill R, J. Mech. Phys. Solids, 10, 1 (1962)

[3] Rice JR, "The Localization of Plastic Deformation," Proc. 14th Int. Congr. Theoret. Appl. Mech., p. 207 (1977)

[4] Rudnicki JW, Rice JR, J. Mech. Phys. Solids, 23, 371 (1975)

[5] Storen S, Rice JR, J. Mech. Phys. Solids, 23, 421 (1975)

[6] Needleman A, Rice JR, "Limits to Ductility set by Plastic Flow Localization. Mechanics of Sheet Metal Forming," Plenum Press, p. 237 (1978)

[7] Nemet-Nasser S, Appl. Mech. Rev., 45, 19 (1992)

[8] Mear ME, Hutchinson JW, Mech. Mater., 4, 395 (1985)

[9] Tvergaard V, J. Mech. Phys. Solids, 35, 43 (1987)

[10] Rice JR, Rudnicki JW, Int. J. Solids Struct., 16, 597 (1980)

[11] Bigoni D, Zaccaria D, Int. J. Plasticity, 9, 21 (1993)

[12] Lee YK, Int. J. Plasticity, 5, 197 (1989)

[13] Loret B, Mech. Mater., 2, 287 (1983)

[14] Dafaoas YF, J. Appl. Mech., 50, 561 (1983)

[15] Dafalias YF, Mech. Mater., 3, 223 (1984)

[16] Dafalias YF, J. Appl. Mech., 52, 865 (1985)

[17] Im S, Atluri SN, Int. J. Plasticity, 3, 163 (1987)

[18] Dafalias YF, "Orientational, Rate and Temperature Effects on the Plastic Response of Anisotropic Solids, Yielding, Damage and Failure of Anisotropic Solids," Mechanical Engineering Publications, Ltd., London, p. 359 (1990)

[19] Dafalias YF, Int. J. Solids Struct., 26, 149 (1990)

[20] Loret B, Dafalias YF, J. Mech. Phys. Solids, 40, 417 (1992)

[21] Tvergaard V, J. Mech. Phys. Solids, 39, 763 (1991)

[22] Zhu H, Zbib HM, Aifantis EC, Appl. Mech. Rev., 45, 110 (1992)

[23] Liu IS, Int. J. Eng. Sci., 20, 1099 (1982)

[24] Hill R, J. Mech. Phys. Solids, 6, 236 (1958)

[25] Raniecki B, Bruhns OT, J. Mech. Phys. Solids, 29, 153 (1981)

[26] Stickels CA, Mould PR, Met. Trans., 1, 1303 (1970)

[27] Hill R, J. Mech. Phys. Solids, 1, 19 (1952)