On numerical aspects of different updating schedules for tracking fracture path in strain localization modeling

Parvaneh, S.M.; Foster, Craig D.

doi:10.1016/j.engfracmech.2015.11.011

Cited by 10 publications

(3 citation statements)

References 52 publications

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“…A local version of this approach was proposed in [74]. True local methods track the exact location of the bands from element to element, and work well for certain classes of problems [75]. In order to propagate interfaces throughout a finite element mesh using local tracking, the element edges that intersect the interface must be determined.…”

Section: Edge Point Algorithmmentioning

confidence: 99%

A new method for embedding predefined interfaces in finite elements

Foster

Weed

2019

Finite Elements in Analysis and Design

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Section: Edge Point Algorithmmentioning

confidence: 99%

A new method for embedding predefined interfaces in finite elements

Foster

Weed

2019

Finite Elements in Analysis and Design

Self Cite

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“…Finally, in order to obtain the mesh‐independent results and eliminate ambiguities of the nodes belonging to the Ω + for adjacent elements, it is necessary to enforce the continuity of the localization path in adjacent elements. At present, several tracking algorithms have been proposed and widely used in the crack/localization propagation problems, for example, the fixed tracking algorithm for the discontinuity path prior to know, the local tracking algorithm based on the information of single Gauss point, the non‐local tracking algorithm, the global tracking algorithm, and the partial global tracking algorithm. Here, the local tracking algorithm is adopted for its easy implementation and convenience.…”

Section: Remarks On the Computational Implementationmentioning

confidence: 99%

A multiscale finite element method for the localization analysis of homogeneous and heterogeneous saturated porous media with embedded strong discontinuity model

Lü

Zhang

Zheng

et al. 2017

Int. J. Numer. Meth. Engng

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This paper presents a multiscale finite element method with the embedded strong discontinuity model for the strain localization analysis of homogeneous and heterogeneous saturated porous media. In the proposed method, the strong discontinuities in both displacement and fluid flux fields are considered. For the localized fine element, the mathematical description and discrete formulation are built based on the so-called strong discontinuity approach. For the localized unit cell, numerical base functions are constructed based on a newly developed enhanced coarse element technique, that is, additional coarse nodes are dynamically added as the shear band propagating. Through the enhanced coarse element technique, the multiscale finite element method can well reflect the softening behavior at the post-localization stage. Furthermore, the microscopic displacement and pore pressure are obtained with the solution decomposition technique. In addition, a non-standard return mapping algorithm is given to update the displacement jumps. Finally, through three representative numerical tests comparing with the results of the embedded finite element method with fine meshes, the high efficiency and accuracy of the proposed method are demonstrated in both material homogeneous and heterogeneous cases. 1443where the standard strain filed ∶= ∇ sym u, ∇ is the nabla operator and the superscript sym denotes the symmetric part. The delta function Γ is derived from the gradient of Heaviside unit step function across Γ. Moreover, can be divided into the regular and singular parts as reg ∶= + J s Γ ∇ − Substituting = +̃into Equation (18), then through some mathematical manipulations with the integration by parts and divergence theorem for a discontinuous function, namely, ∫ Ω · • dΩ =

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“…Standard finite elements are often inadequate for this task. Enhanced [10][11][12][13][14][15][16][17][18] or extend/generalized finite elements, [19][20][21][22][23][24] however, can model localized bands as discrete displacement jumps across the body, and are adequate for many cases. For more diffuse responses, other methods are more appropriate, such as finite element method with Lagrangian Integration Points (FEMLIP).…”

Section: Introductionmentioning

confidence: 99%

A hardening/softening viscoplastic model for large deformation of soil

Parvaneh

Foster

Chi

2022

Num Anal Meth Geomechanics

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A three-invariant continuum cap plasticity model with viscoplastic features is developed for modeling the large deformation of soil. Multiple failure mechanisms including combined shear and compaction yielding and loss of strength under tension can be captured by this model. The shear yield surface of the model is formulated to be nonlinear and pressure-dependent. The model also features a cap surface that governs inelastic compaction hardening. This cap is formulated as an explicit expression of porosity. The differences in triaxial compression and extension strength are also considered. A set of numerical examples are carried out, including triaxial compression and compression-shear tests, in order to examine the model under confined loading conditions, and observe the formation of shear bands.

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On numerical aspects of different updating schedules for tracking fracture path in strain localization modeling

Cited by 10 publications

References 52 publications

A new method for embedding predefined interfaces in finite elements

A new method for embedding predefined interfaces in finite elements

A multiscale finite element method for the localization analysis of homogeneous and heterogeneous saturated porous media with embedded strong discontinuity model

A hardening/softening viscoplastic model for large deformation of soil

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