Return mapping algorithm for an enhanced generalized plasticity constitutive model of partially saturated soils

2012 ◽  
Vol 45 ◽  
pp. 53-61 ◽  
Author(s):  
H.W. Zhang ◽  
R. Santagiuliana ◽  
B.A. Schrefler
Keyword(s):  
Constitutive Model ◽  
Saturated Soils ◽  
Mapping Algorithm ◽  
Partially Saturated ◽  
Partially Saturated Soils ◽  
Return Mapping ◽  
Return Mapping Algorithm ◽  
Generalized Plasticity

DUCTILE DAMAGE ANALYSIS BASED ON A J3-GTN-LIKE MODEL

2011 ◽  
Vol 03 (04) ◽  
pp. 189-215 ◽  
Author(s):  
LARBI SIAD
Keyword(s):  
Constitutive Model ◽  
Yield Function ◽  
Shear Loading ◽  
Isotropic Hardening ◽  
Single Element ◽  
Mapping Algorithm ◽  
Failure Initiation ◽  
Fully Implicit ◽  
Return Mapping ◽  
Return Mapping Algorithm

A GTN-like model which yield function explicitly depends upon the third stress invariant is first described in this paper. Subsequently, a fully implicit stress integration procedure of this constitutive model based on the return-mapping algorithm is developed. The validity and the performance of the implementation of the considered algorithm within a finite element code are checked through simulations of single element test and three-element test under hydrostatic tensile conditions and simple shear loading as well. Afterwards, as a numerical example, the presented constitutive model and, for the purpose of comparison, the GTN isotropic hardening model, are used to analyze the classical tensile test of axisymmetric notched specimens. The obtained results highlight similarities, good agreement between both models as long as failure initiation of specimen is not reached, and discrepancy as soon as failure of specimen starts.

Dynamic Analysis of Unsaturated Soils Subjected to Large Deformations

2016 ◽  
Vol 846 ◽  
pp. 354-359 ◽  
Author(s):  
Javad Ghorbani ◽  
Majidreza Nazem ◽  
John Phillip Carter
Keyword(s):  
Constitutive Model ◽  
Dynamic Analysis ◽  
Unsaturated Soils ◽  
Experimental Studies ◽  
Mixture Theory ◽  
Saturated Soils ◽  
Deformation Analysis ◽  
Mechanical Coupling ◽  
Partially Saturated ◽  
Partially Saturated Soils

This paper deals with the large deformation analysis of partially saturated soils subjected to dynamic loading. The so-called ‘mixture’ theory is employed to consider the hydro-mechanical coupling involved in this kind of problem. The finite element method is used to discretise the problem domain and the generalized-α algorithm is employed to integrate the governing equations over time. Some of the most challenging aspects of dynamic analysis of partially saturated soils will be discussed. One of the key challenges is selecting a consistent constitutive model within the theory of mixtures that can incorporate the pore suction forces into the description of stress. The necessity of such incorporation has frequently been reported in experimental studies of unsaturated soils. To tackle this problem, a unique strategy for integrating the constitutive model for unsaturated soils is adopted. Moreover, an absorbing boundary condition, which prevents wave reflection from rigid boundaries, is introduced and implemented into the numerical algorithm. Finally, a solution for the problem of dynamic compaction of soil in a partially saturated condition is presented.

scholarly journals Discussion: A constitutive model for partially saturated soils

Géotechnique ◽  
1991 ◽  
Vol 41 (2) ◽  
pp. 273-275 ◽  
Author(s):  
E. E. Alonso ◽  
A. Gens ◽  
A. Josa
Keyword(s):  
Constitutive Model ◽  
Saturated Soils ◽  
Partially Saturated ◽  
Partially Saturated Soils

scholarly journals A constitutive model for partially saturated soils

Géotechnique ◽  
1990 ◽  
Vol 40 (3) ◽  
pp. 405-430 ◽  
Author(s):  
E. E. Alonso ◽  
A. Gens ◽  
A. Josa
Keyword(s):  
Constitutive Model ◽  
Saturated Soils ◽  
Partially Saturated ◽  
Partially Saturated Soils
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