Nonlocal plasticity modelling of strain localisation in stiff clays

Mánica, Miguel A.; Gens, Antonio; Vaunat, Jean; Ruiz, Daniel F.

doi:10.1016/j.compgeo.2018.07.008

Cited by 52 publications

(39 citation statements)

References 39 publications

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“…Afterwards stress-like hardening variables (p s , p t and p m ) are directly computed by evaluating Equations 11and 12. The weighting function proposed by Galavi and Schweiger (2010) is employed here as it has been found to outperform other weighting functions in removing the mesh bias (Summersgill et al, 2017a;Mánica et al, 2018). This weighing function may be expressed:…”

Section: Nonlocal Reformulationmentioning

confidence: 99%

“…When nonlocal models are used for regularization purposes the characteristic length is usually conceived of as a numerical artifact to introduce a length scale to the constitutive behavior and to the solution (Summersgill et al, 2017b). However, even if the characteristic length does not necessarily reflect univocally an intrinsic material length -the thickness of shear bands observed experimentally, say-the selection of characteristic length values should also take into account the constitutive model and be calibrated alonside other parameters (Mánica et al, 2018).…”

Section: Nonlocal Reformulationmentioning

confidence: 99%

“…The availability of computational resources also play a role in the definition of the characteristic length (Galavi and Schweiger, 2010;Mánica et al, 2018), because a sufficient number of neighbor Gauss points in the area where the weighting function is significantly larger than zero are required to obtain a reliable solution.…”

Section: Nonlocal Reformulationmentioning

confidence: 99%

“…To save computational resources, it is customary to solve nonlocal elasto-plastic problems by employing a time split approach (Rolshoven, 2003;Mánica et al, 2018). This approach is based on a temporal relocalization during stress point integration.…”

Section: Numerical Implementation Of Nonlocal Effectsmentioning

confidence: 99%

“…Within regularization techniques, the nonlocal integral type solution has the advantage of not changing the field equations which facilitates numerical implementation (Bažant and Jirásek, 2002;Lu et al, 2009;Galavi and Schweiger, 2010;Jin and Arson, 2018a,b;de Pouplana and Oñate, 2016;Summersgill et al, 2017a;Goodarzi and Rouainia, 2017;Mánica et al, 2018). In this approach chosen nonlocal variables are valuated from spatially averages of field variables in a neighborhood, and the constitutive models is updated by replacing a local variable with its nonlocal counterpart.…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

A stable mesh-independent approach for numerical modelling of structured soils at large strains

Monforte

Ciantia

Carbonell

et al. 2019

Computers and Geotechnics

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We describe the large strain implementation of an elasto-plastic model for structured soils into G-PFEM, a code developed for geotechnical simulations using the Particle Finite Element Method. The constitutive model is appropriate for naturally structured clays, cement-improved soils and soft rocks. Structure may result in brittle behavior even in contractive paths; as a result, localized failure modes are expected in most applications. To avoid the pathological mesh-dependence that may accompany strain localization, a nonlocal reformulation of the model is employed. The resulting constitutive model is incorporated into a numerical code by means of a local explicit stress integration technique. To ensure computability this is hosted within a more general Implicit-Explicit integration scheme (IMPLEX). The good performance of these techniques is illustrated by means of element tests and boundary value problems.

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Section: Nonlocal Reformulationmentioning

confidence: 99%

Section: Nonlocal Reformulationmentioning

confidence: 99%

Section: Nonlocal Reformulationmentioning

confidence: 99%

Section: Numerical Implementation Of Nonlocal Effectsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

A stable mesh-independent approach for numerical modelling of structured soils at large strains

Monforte

Ciantia

Carbonell

et al. 2019

Computers and Geotechnics

Self Cite

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A nonlinear constitutive model for whole stress–strain behaviors of compressed rocks incorporating crack closure effect

Ren

Zhao

Niu

et al. 2023

Num Anal Meth Geomechanics

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This paper is devoted to establishing a nonlinear constitutive model incorporating crack closure effect for capturing the whole process of rock deformation and failure behavior under compression. The model formulated in the framework of irreversible thermodynamics is based on the additive decomposition of the total strain into crack closure strain, elastic, and plastic parts. New specific criteria are proposed for the description of crack closure strain and plastic strain evolution. Notably, analytical solutions of the model under conventional triaxial compression loading conditions are derived. For application, a robust semi‐implicit return mapping (SRM) algorithm with a crack closure strain correction and a plastic strain correction is developed. The analytical solutions, herein, are subtly used to calibrate model parameters and as reference results for assessing the accuracy and robustness of the SRM algorithm. Validation of the model conducted by comparing with experimental data from the literature shows that the model can properly describe the nonlinear mechanical behaviors of rocks, including crack closure effect, strain hardening/softening, peak and residual strength, as well as volumetric compaction/dilation transition. In addition, a nonlocal formulation is introduced as an extension of the model to remedy the mesh dependency problem.

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