Numerical Analysis of the Plain Concrete Model Predicition for Non-Proportional Loading Paths

2009 ◽  
Author(s):  
A. Winnicki ◽  
Cz. Cichon
Keyword(s):  
Numerical Analysis ◽  
Plain Concrete ◽  
Proportional Loading ◽  
Loading Paths ◽  
Concrete Model

scholarly journals Ductile damage evolution under cyclic non-proportional loading paths

2018 ◽  
Vol 9 ◽  
pp. 136-150 ◽  
Author(s):  
Riccardo Fincato ◽  
Seiichiro Tsutsumi ◽  
Hideto Momii
Keyword(s):  
Damage Evolution ◽  
Ductile Damage ◽  
Proportional Loading ◽  
Loading Paths

Yield Surface and Complex Loading Path Simulation of a Duplex Stainless Steel Using a Bi-Phase Polycrystalline Model

2007 ◽  
Vol 567-568 ◽  
pp. 141-144 ◽  
Author(s):  
Pierre Evrard ◽  
Veronique Aubin ◽  
Suzanne Degallaix ◽  
Djimedo Kondo
Keyword(s):  
Stainless Steel ◽  
Uniaxial Tension ◽  
Compression Test ◽  
Plastic Anisotropy ◽  
Constant Strain Rate ◽  
Loading Path ◽  
Model Parameters ◽  
Proportional Loading ◽  
Loading Paths ◽  
Polycrystalline Model

In order to model the elasto-viscoplastic behaviour of an austenitic-ferritic stainless steel, the model initially developed by Cailletaud-Pilvin [1] [2] and used for modeling single-phase polycrystalline steel is extended in order to take into account the bi-phased character of a duplex steel. Two concentration laws and two local constitutive laws, based on the crystallographic slips and the dislocation densities, are thus simultaneously considered. The model parameters are identified by an inverse method. Simple tests among which tension test at constant strain rate and at different strain rates and uniaxial tension-compression test are used during the identification step. The predictive capabilities of the polycrystalline model are tested for non-proportional loading paths. It is shown that the model reproduces the over-hardening experimentally observed for this kind of loading paths. Then, yield surfaces are simulated during a uniaxial tension-compression test: it is shown that the distortion (i.e. plastic anisotropy induced by loading path) is correctly described.

A Numerical Study on Ductile Failure of Porous Ductile Solids With Rate-Dependent Matrix Behavior

2019 ◽  
Vol 87 (3) ◽  
Author(s):  
Lars Edvard Blystad Dæhli ◽  
David Morin ◽  
Tore Børvik ◽  
Ahmed Benallal ◽  
Odd Sture Hopperstad
Keyword(s):  
Finite Element ◽  
Strain Rate ◽  
Strain Localization ◽  
Ductile Failure ◽  
Unit Cell ◽  
Strain Rates ◽  
Proportional Loading ◽  
Loading Paths ◽  
Rate Dependent ◽  
Constitutive Formulation

Abstract This work examines the effects of loading rate on the plastic flow and ductile failure of porous solids exhibiting rate-dependent behavior relevant to many structural metals. Two different modeling approaches for ductile failure are employed and numerical analyses are performed over a wide range of strain rates. Finite element unit cell simulations are carried out to evaluate the macroscopic mechanical response and ductile failure by void coalescence for various macroscopic strain rates. The unit cell results are then used to assess the accuracy of a rate-dependent porous plasticity model, which is subsequently used in strain localization analyses based on the imperfection band approach. Strain localization analyses are conducted for (i) proportional loading paths and (ii) non-proportional loading paths obtained from finite element simulations of axisymmetric and flat tensile specimens. The effects of strain rate are most apparent on the stress–strain response, whereas the effects of strain rate on ductile failure is found to be small for the adopted rate-dependent constitutive model. However, the rate-dependent constitutive formulation tends to regularize the plastic strain field when the strain rate increases. In the unit cell simulations, this slightly increases the strain at coalescence with increasing strain rate compared to a rate-independent constitutive formulation. When the strain rate is sufficiently high, the strain at coalescence becomes constant. The strain localization analyses show a negligible effect of strain rate under proportional loading, while the effect of strain rate is more pronounced when non-proportional loading paths are assigned.

scholarly journals Experimental Analysis and Failure Criterion of Plain Concrete Subjected to Biaxial Loading under Fixed Lateral Loading

2019 ◽  
Vol 2019 ◽  
pp. 1-12
Author(s):  
Zhenpeng Yu ◽  
Xue Sun ◽  
Furong Li
Keyword(s):  
Principal Stress ◽  
Failure Criterion ◽  
Failure Modes ◽  
Biaxial Loading ◽  
Plain Concrete ◽  
Failure Criteria ◽  
Lateral Loading ◽  
Biaxial Compression ◽  
Proportional Loading ◽  
Stress Ratios

By using a rock true triaxial apparatus hydraulic servo machine, biaxial loading experiments including biaxial compression-compression and biaxial compression-tension with fixed lateral loading on plain concretes were conducted and the stress-strain curves of plain concrete under various stress ratios were obtained. After determining the peak principal stress, the damage modes of plain concrete under various stress ratios were analyzed and the law of strength in the principal stress direction was studied as well. The experimental findings show that, under the fixed lateral loading, the failure modes of plain concrete under biaxial compression-compression and biaxial compression-tension are very similar to those under the equal proportional loading, but with higher amplitude of variation. In this paper, Kupfer’s classical failure criterion was applied to verify the experimental data and the predicted biaxial loading on plain concrete under fixed lateral loading and was regarded as relatively conservative. Meantime, based on Kupfer’s failure criterion and octahedral stress space, two different failure criteria had been proposed and verified. The results show that the proposed failure criteria have good applicability. The failure mechanism under fixed lateral loading was discussed and compared with that under the equal proportional loading method. This research is meaningful to plain concrete engineering application and calculation.

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