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2020
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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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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Microanalysis of plastic strain
Ultramicroscopy, 1997Abstract A technique for quantifying surface shear strains associated with plastic contact damage has been developed. A complete stereographic mapping of rotational transformations is determined using transmission electron microscopy from trace analysis of contours or convergent beam electron diffraction.
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Anisotropic plasticity model coupled with strain dependent plastic strain and stress ratios
CIRP Annals, 2013It is necessary to describe properly anisotropic material behavior for realistic numerical analyses of sheet metal forming processes. The implementation of many yield criteria in finite element analysis is very complicated. Various material tests are also required to determine yield function coefficients.
Wolfram Volk +3 more
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1968
Truesdell and Noll [1] have given a continuum theory of dislocations for materially uniform, inhomogeneous, simple bodies. If such a body is also elastic, the current stress at each point I is a function of the deformation gradients, calculated relative to a fixed local reference configuration of a neighbourhood of X.
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Truesdell and Noll [1] have given a continuum theory of dislocations for materially uniform, inhomogeneous, simple bodies. If such a body is also elastic, the current stress at each point I is a function of the deformation gradients, calculated relative to a fixed local reference configuration of a neighbourhood of X.
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Strain gradients in plasticity
Acta Mechanica, 1977An analytical model of a plastically deforming solid is assumed to be a material where the second spatial gradients of strain are included in the constitutive equations. These constitutive equations are combined, in a one dimensional shearing problem, with the second law of thermodynamics and condition of thermodynamic stability. The results are that a
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Plastic Stress-Strain Relations
Proceedings of the Institution of Mechanical Engineers, 1948The author derives stress-strain relations which are applicable to problems in which the elastic and plastic strains are of comparable magnitude. Two alternative criteria are used, one based on the Mises-Hencky function and the other on the maximum shear stress.
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