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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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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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On the Plastic Strains in Slabs With Cutouts
Journal of Applied Mechanics, 1953Abstract The complete elastic-plastic problem is set up for a circular slab with a central circular cutout, subjected to uniform external tension. The analysis is carried out under the assumption of generalized plane stress but with possibly finite deformations. The material is assumed to be isotropic, homogeneous, and incompressible, to
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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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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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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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Local Plastic Strain Measurement by EBSD
Applied Mechanics and Materials, 2007Work has been carried out recently, which demonstrates misorientation measurements recorded by using electron backscatter diffraction (EBSD) enables one to undertake local post mortem plastic strain quantification once the degree of misorientation is calibrated against plastic strain.
Kamaya, M. +3 more
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Two-Dimensional Strain Cycling in Plasticity
Journal of Applied Mechanics, 1986Detailed calculations are presented for strain cycling in a homogeneous deformation that can be sustained by a biaxial state of stress in thin-walled specimens of OFHC copper. These calculations are made with a set of relatively simple constitutive equations within the framework of the strain-space formulation of plasticity.
Naghdi, P. M., Nikkel, D. J. jun.
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Strain avalanches in plasticity
Philosophical Magazine, 2013Plastic deformation at the mechanism level in all solids occurs in the form of discrete thermally activated individual stress relaxation events. While there are clear differences in mechanisms between dislocation mediated events in crystalline solids and by individual shear transformations in amorphous metals and semiconductors, such relaxation events ...
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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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