Localization of deformation is analyzed in elastic-plastic solids endowed with elastic anisotropy and non-associative flow rules. A particular form of elastic anisotropy is considered, for which the localization analysis can be performed with reference to an elastic-plastic solid endowed with isotropic elasticity but whose normals to the yield function and plastic potential are not coaxial. On the other hand, so far, available analytical solutions for the onset of strain localization in elastic-plastic solids assume isotropic elasticity and coaxial plastic properties. Here, a new analytical solution is presented when the plastic normals are not coaxial but the analysis is restricted to plane strain and plane stress loadings. As an illustration, for a material with transverse elastic isotropy and with pressure-dependent yield surface and plastic potential, this solution provides explicit expressions at the onset of strain localization for the plastic modulus, for the orientation of the shear-band and for the slip mode. The numerical results highlight the importance of the coupled influence of elastic anisotropy and non-associativity on the onset of strain localization.

Localization of deformation in plane elastic-plastic solid with anisotropic elasticity / D., Bigoni; B., Loret; Radi, Enrico. - In: JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS. - ISSN 0022-5096. - ELETTRONICO. - 48 (6-7):(2000), pp. 1441-1466.

Localization of deformation in plane elastic-plastic solid with anisotropic elasticity

RADI, Enrico
2000

Abstract

Localization of deformation is analyzed in elastic-plastic solids endowed with elastic anisotropy and non-associative flow rules. A particular form of elastic anisotropy is considered, for which the localization analysis can be performed with reference to an elastic-plastic solid endowed with isotropic elasticity but whose normals to the yield function and plastic potential are not coaxial. On the other hand, so far, available analytical solutions for the onset of strain localization in elastic-plastic solids assume isotropic elasticity and coaxial plastic properties. Here, a new analytical solution is presented when the plastic normals are not coaxial but the analysis is restricted to plane strain and plane stress loadings. As an illustration, for a material with transverse elastic isotropy and with pressure-dependent yield surface and plastic potential, this solution provides explicit expressions at the onset of strain localization for the plastic modulus, for the orientation of the shear-band and for the slip mode. The numerical results highlight the importance of the coupled influence of elastic anisotropy and non-associativity on the onset of strain localization.
48 (6-7)
1441
1466
Localization of deformation in plane elastic-plastic solid with anisotropic elasticity / D., Bigoni; B., Loret; Radi, Enrico. - In: JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS. - ISSN 0022-5096. - ELETTRONICO. - 48 (6-7):(2000), pp. 1441-1466.
D., Bigoni; B., Loret; Radi, Enrico
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11380/457693
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