Hoop stress calculation for a nearly circular hole in a finitely deformed plate under plane strain and uniaxial tension

1984 ◽  
Vol 35 (6) ◽  
pp. 868-882 ◽  
Author(s):  
Elena M. Croitoro ◽  
K. A. Lindsay
Keyword(s):  
Uniaxial Tension ◽  
Plane Strain ◽  
Circular Hole ◽  
Hoop Stress ◽  
Stress Calculation

Analysis of a Class of Variable Thickness Reinforcement around a Circular Hole in a Flat Sheet

1970 ◽  
Vol 21 (4) ◽  
pp. 303-312 ◽  
Author(s):  
E. H. Mansfield
Keyword(s):  
Uniaxial Tension ◽  
Circular Hole ◽  
Variable Thickness ◽  
Radial Stress ◽  
Hoop Stress ◽  
Sheet Thickness ◽  
Thickness Variation ◽  
Flat Sheet ◽  
Thickness Sheet

SummaryThis paper determines the sheet thickness variation near a circular hole to yield a constant hoop stress in a sheet subjected to uniform radial stress at infinity. A similar analysis is presented for a variable thickness sheet plus an annular reinforcement. The stresses due to the remote application of shear and uniaxial tension are also determined.

A theory of minimum plastic spin in crystal mechanics

1989 ◽  
Vol 422 (1862) ◽  
pp. 193-239 ◽  
Keyword(s):  
Uniaxial Tension ◽  
Plane Strain ◽  
Finite Deformation ◽  
Relative Rate ◽  
Crystalline Material ◽  
Atomic Lattice ◽  
Multiple Slip ◽  
Plastic Spin ◽  
Free Extension ◽  
Observed Behaviour

A theory of minimum plastic spin (i. e. minimum relative rate-of-rotation of gross crystalline material and underlying atomic lattice) is proposed for the finite deformation of crystals, consistent with loading conditions and constraints. Three families of multiple-slip configurations of f. c. c. crystals are comprehensively investigated: (i) pure plane strain compression with a [100] axis of free extension; (ii) (110) loading in channel die compression; and (iii) all multiple-slip orientations in uniaxial tension. It is established that, in each case, minimum plastic spin uniquely predicts the experimentally observed behaviour.

scholarly journals Hole-Expansion: Sensitivity of Failure Prediction on Plastic Anisotropy Modeling

2021 ◽  
Vol 5 (2) ◽  
pp. 28
Author(s):  
Jinjin Ha ◽  
Yannis P. Korkolis
Keyword(s):  
Stress State ◽  
Uniaxial Tension ◽  
Plane Strain ◽  
Biaxial Tension ◽  
Plastic Anisotropy ◽  
Yield Function ◽  
Hydraulic Press ◽  
Image Correlation ◽  
Hole Expansion ◽  
Plane Strain Tension

The influence of yield function parameters on hole-expansion (HE) predictions are investigated for an anisotropic AA6022-T4 aluminum sheet. The HE experiment is performed in a fully-instrumented double-action hydraulic press with a flat-headed punch. Full strain fields are measured by a stereo-type digital image correlation (DIC) system. The stress state gradually changes from uniaxial to plane-strain tension to biaxial tension in the radial direction. Besides HE, the plastic anisotropy of AA6022-T4 is characterized by uniaxial tension and plane-strain tension experiments. Uniaxial tension is considered as the most important, since it is the stress state along the hoop direction in the hole. For the finite element (FE) simulation, the Yld2000-2d non-quadratic anisotropic yield function is used with two different parameter sets, calibrated by: (1) uniaxial tension only (termed Calib1) and, (2) both uniaxial and plane-strain tension (Calib2). The strain field predictions show a good agreement with the experiments only for Calib2, which takes into account plane-strain as well uniaxial tension. This indicates the importance of biaxial modes, and in particular plane-strain tension, for the adopted yield function to produce accurate HE simulations.

scholarly journals Prediction of Strain Path Changing Effect on Forming Limits of AA 6111-T4 Based on A Shear Ductile Fracture Criterion

Metals ◽  
2021 ◽  
Vol 11 (4) ◽  
pp. 546
Author(s):  
Silin Luo ◽  
Gang Yang ◽  
Yanshan Lou ◽  
Yongqian Xu
Keyword(s):  
Ductile Fracture ◽  
Uniaxial Tension ◽  
Plane Strain ◽  
Strain Path ◽  
Fracture Criterion ◽  
Kinematic Hardening ◽  
Isotropic Hardening ◽  
Ductile Fracture Criterion ◽  
Plane Strain Tension ◽  
Strain Paths

Strain path changing is a phenomenon in the stamping of complex panels or multiple-step stamping processes. In this study, the influence of the strain path changing effect was investigated and assessed for an aluminum alloy of 6111-T4 with a shear ductile fracture criterion. Plastic deformation of the alloy was modeled by an anisotropic Drucker yield function with the assumption of normal anisotropy. Then the shear ductile fracture criterion was calibrated by the fracture strains at uniaxial tension, plane strain tension and equibiaxial tension under proportional loading conditions. The calibrated fracture criterion was utilized to predict forming limit curves (FLCs) of the alloy stretched under bilinear strain paths. The analyzed bilinear strain paths included biaxial tension after uniaxial tension, plane strain tension and equibiaxial tension. The predicted FLCs of bilinear strain paths were compared with experimental results. The comparison showed that the shear ductile fracture criterion could reasonably describe the effect of strain path changing on FLCs, but its accuracy was poor for some bilinear paths, such as uniaxial tension followed by equibiaxial tension and equibiaxial tension followed by plane strain tension. Kinematic hardening is suggested to substitute the isotropic hardening assumption for better prediction of FLCs with strain path changing effect.

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