A stress integration scheme for elasto-plastic response of unsaturated soils subjected to large deformations

2018 ◽  
Vol 94 ◽  
pp. 231-246 ◽  
Author(s):  
Javad Ghorbani ◽  
Majidreza Nazem ◽  
John P Carter ◽  
Scott W Sloan
2015 ◽  
Vol 651-653 ◽  
pp. 558-563 ◽  
Author(s):  
Hiroshi Hamasaki ◽  
Fusahito Yoshida ◽  
Takeshi Uemori

This paper describes fully implicit stress integration scheme for Yoshida’s 6thorder yield function combined with Yoshida-Uemori kinematic hardening model and its consistent tangent matrix. Cutting plane method was employed for accurate integrations of stress and state variables appeared in Yoshida-Uemori model. In the present scheme, equivalent plastic strain, stress tensor and all the state variables are treated as independent variables in order to handle the 6th order yield function which is not the J2 yield function, and the equilibriums for each variables are solved for the stress integration. Subsequently, exact consistent tangent matrix which is necessary for implicit static finite element simulation was obtained. The proposed scheme was implemented into finite element code LS-DYNA and deep drawing process for aluminum alloy sheet was calculated. The earing appearance after drawing was compared with the experiment.


2021 ◽  
Author(s):  
Jose Rodriguez-Martinez ◽  
navab hosseini

In this paper, we have modi?ed the stress integration scheme proposed by Choi and Yoon (2019), which is based on the numerical approximation of the yield function gradients, to implement in the ?nite element code ABAQUS three elastic isotropic, plastic anisotropic constitutive models with yielding described by Yld2004-18p (Barlat et al., 2005), CPB06ex2 (Plunkett et al., 2008) and Yld2011-27p (Aretz and Barlat, 2013) criteria, respectively. We have developed both VUMAT and UMAT subroutines for the three constitutive models, and have carried out cylindrical cup deep drawing test simulations and calculations of dynamic necking localization under plane strain tension, using explicit and implicit analyses. An original feature of this paper is that these finite element simulations are systematically compared with additional calculations performed using (i) the numerical approximation scheme developed by Choi and Yoon (2019), and (ii) the analytical computation of the first and second order yield functions gradients. This comparison has shown that the numerical approximation of the yield function gradients proposed in this paper facilitates the implementation of the constitutive models, and in the case of the implicit analyses, it leads to a significant decrease of the computational time without impairing the accuracy of the ?finite element results. In addition, we have demonstrated that there is a critical loading rate below which the dynamic implicit analyses are computationally more efficient than the explicit calculations.


1985 ◽  
Vol 38 (10) ◽  
pp. 1261-1263 ◽  
Author(s):  
R. J. Clifton

Advances in metal forming, lifetime of turbine blades, load carrying capacity of metal structures, armor penetration, and fracture resistance of structural metals all rely on improved understanding of the plasticity of metals. Because of the inherent complexity of the plastic response of metals, development of the required understanding requires a major sustained research effort. Advances in theory, experiment, and numerical methods are required. Classical plasticity theory, although of great value in routine applications involving nearly proportional loading of metal structures, is unsatisfactory for numerous important applications involving, for example, large deformations, cyclic loading, high temperatures, localized shearing, or high strain rates. A more physically based plasticity theory is needed to address the wide class of problems faced in modern technology. Development of such a theory requires critical experiments that show the relationship between microscopic mechanisms and macroscopic plastic response as well as provide a basis for determining the validity of proposed theories. Inclusion of rate dependence, large deformations, nonproportional loading, temperature sensitivity, and the effects of grain boundaries is important in the development of a more comprehensive theory. Remarkable increases in the size and speed of computers are removing computational obstacles to the use of more realistic plasticity theories. Relaxation of computing constraints provides an exceptional opportunity for major advances on technological problems involving plasticity. Accurate, efficient computer codes are required that are suitable even for cases involving softening due to such effects as grain rotations and the expansion of voids. Capability for predicting failure due to the formation of shear bands and the coalescence of voids is a major need. Physical principles governing damage accumulation during general loading histories need to be determined and represented in computer codes.


2006 ◽  
Vol 11 (4) ◽  
pp. 331-343 ◽  
Author(s):  
M. S. Alam ◽  
M. M. Rahman ◽  
M. A. Samad

The problem of combined free-forced convection and mass transfer flow over a vertical porous flat plate, in presence of heat generation and thermaldiffusion, is studied numerically. The non-linear partial differential equations and their boundary conditions, describing the problem under consideration, are transformed into a system of ordinary differential equations by using usual similarity transformations. This system is solved numerically by applying Nachtsheim-Swigert shooting iteration technique together with Runge-Kutta sixth order integration scheme. The effects of suction parameter, heat generation parameter and Soret number are examined on the flow field of a hydrogen-air mixture as a non-chemical reacting fluid pair. The analysis of the obtained results showed that the flow field is significantly influenced by these parameters.


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