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Finding the slip intensity when setting the shear resistance in a general form leads to rather complex integration–differential equations. Therefore, the determination of strains is associated with big mathematical difficulties. This chapter studies a partial case when only two addends are preserved in the shear resistance operator, which contain the ...
Valentin Molotnikov +1 more
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Induced anisotropy during plastic straining
International Journal for Numerical and Analytical Methods in Geomechanics, 1984AbstractThe restrictions imposed by the form‐invariance principle on the structure of the elasto‐plastic constitutive law for small strains are examined. It is shown that the yield and plastic potential functions may depend on the joint invariants of the stress and plastic strain tensors in addition to their dependence on the direct invariants of these
Baker, R., Desai, C. S.
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Fractional strain-gradient plasticity
European Journal of Mechanics - A/Solids, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
C.F.O. Dahlberg, M. Ortiz
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Large plastic strains in sheet-bending
International Journal of Non-Linear Mechanics, 1971Abstract Based on Hill's general theory of sheet bending, a closed form expression is derived for strain in any fiber of a sheet bent under the conditions of plane strain and negligible elastic strains. A numerical example indicates that the assumptions of the theory are plausible over a wide range of the angle of bending.
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