Influence of stress gradients on the limit state of the plate weakened by a circular hole

Kalashnikov, Sergey; Gurova, Elena; Kuramshin, Renat; Starov, A V

doi:10.1088/1757-899x/456/1/012111

Cited by 4 publications

(1 citation statement)

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“…In [11,12], from the experimental data [2], the numerical value ߣ ், = 20,1587 m -1 is presented for construction steel. The proposed gradient approach is implemented in solving various problems of the elements and structures' strength: in [10,12,13] -in one-dimensional and two-dimensional problems of rods' bending, round plates [14,15], torsion of round shafts [13], axisymmetric deformation of pipes and ball reservoirs [16], the rods' eccentric compression [13], tension of a plate weakened by a circular hole [17] as well as the continual problems with a singularity [18]. A feature of this condition's application, in contrast to others, is to obtain an analytical solution in the form of either a resolving equation or in the form of an algebraic expression.…”

Section: Formulation Of the Problem And Methods Of Solutionmentioning

confidence: 99%

The incremental plasticity condition application for pure bending of a curved bar (Golovin problem)

2020

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The limiting elastic state of a bar with large curvature under pure bending is considered on the basis of the elasticity theory exact solution. As a criterion for the limiting state, the gradient plasticity condition is used, which determines the yield onset in an inhomogeneous stress state. Analytical expressions for calculating the corresponding stresses are obtained. The results comparison with a simplified solution is given.

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Section: Formulation Of the Problem And Methods Of Solutionmentioning

confidence: 99%