Integration of anisotropic modified Cam Clay model in finite element analysis: Formulation, validation, and application

Liu, K.; Chen, S.L.; Voyiadjis, G.Z.

doi:10.1016/j.compgeo.2019.103198

Cited by 29 publications

(15 citation statements)

References 28 publications

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“…Using decomposition of the strain vector (de ¼ de e þ de p ) and Eqs. (16)(17)(18)(19)(20)(21)(22)(23)(24), the elastoplastic constitutive equations in the form of compliance and stiffness matrixes can be derived as…”

Section: Elastoplastic Stiffness Matrixmentioning

confidence: 99%

Theoretical solution for drained cylindrical cavity expansion in clays with fabric anisotropy and structure

Castro

Sivasithamparam

2021

Acta Geotech.

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This paper presents a novel, exact, semi-analytical solution for the quasi-static drained expansion of a cylindrical cavity in soft soils with fabric anisotropy and structure. The assumed constitutive model is the S-CLAY1S model, which is a Cam clay-type model that considers fabric anisotropy that evolves with plastic strains, structure and gradual degradation of bonding (destructuration) due to plastic straining. The solution involves the numerical integration of a system of eight first-order ordinary differential equations, three of them corresponding to the effective stresses in cylindrical coordinates, other three corresponding to the components of the fabric tensor and one corresponding to the amount of bonding and another corresponding to the specific volume. The solution is validated against finite element analyses. When destructuration is considered, the solution provides slightly lower values of the effective radial and mean stresses near the cavity wall. Besides, the specific volume is further reduced due to loss of bonding. Parametric analyses and discussion of the influence of soil overconsolidation, expansion of the cavity and initial amount of bonding are presented.

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Section: Elastoplastic Stiffness Matrixmentioning

confidence: 99%

Theoretical solution for drained cylindrical cavity expansion in clays with fabric anisotropy and structure

Castro

Sivasithamparam

2021

Acta Geotech.

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“…Since Roscoe et al (1958;1963;1968) proposed the Cam-clay model, the constitutive theory of remolded soil has entered a new stage of development, and relatively satisfactory results have been achieved in the study of the constitutive relation of remolded soil. Cam-clay model, Lade-Duncan model, and Duncan-Chang model have been widely used in theoretical research and engineering practice of remolded soil (Lade and Duncan, 1975;Lade, 1977;Yu et al, 2014;Liu et al, 2018;Bryant and Sun, 2019;Liu et al, 2019). However, undisturbed clay is usually structural (Gong et al, 2000).…”

Section: Introductionmentioning

confidence: 99%

A Constitutive Model of Clay Considering Structural Failure

2021

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Due to the different material composition and deposition conditions, the undisturbed clay presents different degree of structure. Because of the existence of structure, the undisturbed clay has structural yield stress. When the stress level exceeds the structural yield stress, the stress-strain relation of undisturbed clay has typical softening characteristics. To explore the constitutive relation of undisturbed soil, triaxial consolidation, and drainage tests were carried out on undisturbed and remolded soils of structural clay in Zhanjiang Formation in China, and the stress-strain relations under different confining pressures were obtained. By analyzing the structural failure process of undisturbed clay, Weibull distribution was introduced to describe the strength distribution of each point in undisturbed clay, and the structural failure coefficient of undisturbed clay was established during the loading process. Based on the elastic theory and structural failure coefficient, a constitutive model considering the structural failure of clay was proposed, and the method to determine the model parameters was given. The model was used to simulate the experimental data in this paper and the reference, and the validity of the model was verified. The results show that the model can well simulate the softening effect of structural clay during loading.

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“…[ 7,8 ] Both of them have been widely used in geotechnical finite element analysis for critical state soil models. [ 3,9–15 ]…”

Section: Introductionmentioning

confidence: 99%

Computational implementation of bounding surface model and its verification through cavity benchmark problems

Chen

Abousleiman

Muraleetharan

2021

Num Anal Meth Geomechanics

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This paper develops an implicit integration algorithm for a general form of the bounding surface model, using the return mapping approach (elastic predictor‐plastic corrector), to obtain the updated stresses for given strain increments. The formulation of the constitutive integration requires the derivation of a supplementary differential equation to describe the evolution of a key variable, that is, the ratio between the image stress and the current stress quantities. The integration algorithm for the bounding surface model is implemented into the finite element analysis commercial program, ABAQUS, through the material interface of UMAT (user defined material subroutine), and then used for the analysis of cavity contraction (wellbore drilling/tunnel excavation) boundary value problems. The predictions from the ABAQUS simulations are found to be in excellent agreement with the analytical solutions, thus demonstrating the validity and accuracy of the proposed integration scheme.

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Integration of anisotropic modified Cam Clay model in finite element analysis: Formulation, validation, and application

Cited by 29 publications

References 28 publications

Theoretical solution for drained cylindrical cavity expansion in clays with fabric anisotropy and structure

Theoretical solution for drained cylindrical cavity expansion in clays with fabric anisotropy and structure

A Constitutive Model of Clay Considering Structural Failure

Computational implementation of bounding surface model and its verification through cavity benchmark problems

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