An improved numerical integration algorithm for elastoplastic constitutive equations

Cecílio, Diogo L.; Devloo, Philippe R.B.; Gomes, Sônia M.; Santos, Erick R.S. dos; Shauer, Nathan

doi:10.1016/j.compgeo.2014.10.013

Cited by 18 publications

(16 citation statements)

References 10 publications

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“…The algorithm is composed of two major steps: the elastic trial step and the plastic correction step. For the numerical integration of the DiMaggio‐Sandler model, an improved algorithm is adopted, which was proposed in Cecílio et al for associative models. It is based on the following aspects: The elastoplastic model is represented in terms of the principal stresses. For the plastic correction step, a distance function is defined, which must be minimized to determine the projection of the trial stress onto the yield surface (closest point projection).…”

Section: Numerical Elastoplastic Modelmentioning

confidence: 99%

“…The following advanced numerical finite element algorithms have been combined to construct the proposed breakout numerical model: An improved numerical integration algorithm proposed in Cecílio et al, which holds for associative models. h p ‐Refinement around the wellbore. To enhance the precision of the elastoplastic simulation, curved meshes directional refined towards the wellbore are used, and the polynomial order is increased in the plastification area. A specific transfer procedure for elastoplastic deformation history.…”

Section: Introductionmentioning

confidence: 99%

“…• An improved numerical integration algorithm proposed in Cecílio et al, 5 which holds for associative models.…”

Section: Introductionmentioning

confidence: 99%

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An adaptive finite element model for wellbore breakout simulation

Cecílio

Devloo

Gomes

et al. 2019

Num Anal Meth Geomechanics

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Summary A finite element formulation is proposed and implemented for analysing the stability of excavated wells using the DiMaggio‐Sandler constitutive elastoplastic model with a typical carbonate reservoir configuration. The quality of the finite element approximation is ensured by applying smooth curved elements adapted to the wellbore geometry, and h − p adaptive finite element meshes in the plastic zone. General purpose procedures are defined to transfer the elastoplastic deformation history to newly created integration points. A breakout damage criterion is proposed based on the second invariant of the deviatoric plastic deformation tensor. This damage criterion is used to apply a mesh movement algorithm to represent material collapse. The automatic successive application of the breakout damage criterion results in elliptical realistically looking geometries obtained in experiments reported in the literature.

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Section: Numerical Elastoplastic Modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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An adaptive finite element model for wellbore breakout simulation

Cecílio

Devloo

Gomes

et al. 2019

Num Anal Meth Geomechanics

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“…The convergence rate of the iterative method for solving nonlinear elastoplastic equations is strongly dependent on the choice of variables to represent the residual vector. It can be enhanced by representing the elastoplastic equations in terms of the principal stresses [16].…”

Section: Introductionmentioning

confidence: 99%

“…Then, we consider a distance function in the rotated Haigh-Westergaard space that should be minimized, in order to compute plastic deformation from closed point projection. The proposed scheme is probably more efficient due to the expression of the yield surface within a Haigh-Westergaard cylindrical coordinates [17] and the application of the rotated Haigh-Westergaard space [16].…”

Section: Introductionmentioning

confidence: 99%

An innovative procedure to improve integration algorithm for modified Cam-Clay plasticity model

Sanei¹,

Durán²,

Devloo³

et al. 2020

Computers and Geotechnics

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An innovative numerical scheme to improve integration algorithm for critical state elastoplasticity is presented and detailed with special consideration to the modified Cam-Clay model. The scheme is based on a rotation of the principal stresses and represent the elastoplastic model in a rotated Haigh-Westergaard space. Such an approach allows the calculation of modified Cam-Clay to be computationally efficient and easy to implement. The validity of the proposed scheme is verified by comparing the numerical results with analytic solutions.

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