2011
DOI: 10.3103/s0025654411020087
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Numerical and experimental study of elastoplastic tension-torsion processes in axisymmetric bodies under large deformations

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Cited by 8 publications
(4 citation statements)
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“…The formulas for the strain rates do not contain rotationsω i j of material particles as a rigid body, and the tensor of active stresses σ i j is determined by the same relations as in the case of small elastoplastic strains. As the computations [6] show, for moderate shear strains, no oscillations in the shear stresses are observed, because the active stress tensor ρ i j is determined by integro-differential relations 9 with decaying memory rather than by the tensor of plastic strains.…”
Section: Constitutive Equationsmentioning
confidence: 90%
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“…The formulas for the strain rates do not contain rotationsω i j of material particles as a rigid body, and the tensor of active stresses σ i j is determined by the same relations as in the case of small elastoplastic strains. As the computations [6] show, for moderate shear strains, no oscillations in the shear stresses are observed, because the active stress tensor ρ i j is determined by integro-differential relations 9 with decaying memory rather than by the tensor of plastic strains.…”
Section: Constitutive Equationsmentioning
confidence: 90%
“…The sample is made of steel 12Kh18N10T with the following elastic characteristics: the elastic modulus is E = 210 × 10 5 MPa, the Poissons ratio is μ = 0.3, the yield strength is σ T = 2.4 × 10 2 MPa, and the density is ρ = 7.8 × 10 3 kg m 3 . To equip the model with material parameters, we use the true stress-strain curve σ T (κ), constructed on the basis of monotonic torsion experiments with identical samples until failure and performed by the technique proposed in [6,12]. In addition, we use the dependence of the Bauschinger effect measure on the amount of accumulated plastic strains δ(κ), obtained on the basis of tension-compression experiments.…”
Section: Numerical and Experimental Studiesmentioning
confidence: 99%
“…The problem defined in solid medium links chemistry, shock waves (gas dynamics) and temperature. We have according to [11] and [12] first relations listed as:…”
Section: Methodic Of Load-calculationmentioning
confidence: 99%
“…When there are developed torsional deformations, the curves approach one another, since the memory of the material is restricted to the zone of small deformations. 11 Preliminary stretching (hardening) of the sample gives rise to non-axisymmetric loss of stability at an earlier stage of the deformation, the critical value of the conventional shear strain z␤ decreases by a factor of approximately two and the torsional moment M * increases by 30%.…”
Section: Non-axisymmetric Loss Of Stabilitymentioning
confidence: 98%