Improvement of some features of finite elements with embedded discontinuities

Juãrez-Luna, Gelacio; Ayala, Gustavo

doi:10.1016/j.engfracmech.2014.02.002

Cited by 8 publications

(4 citation statements)

References 30 publications

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“…The FEED are formulated from an energy functional which has the displacement, u, and the displacement jump [|u|] as independent variable ([1], [5], [6], [12]). This functional is given by:…”

Section: Variational Formulationmentioning

confidence: 99%

“…The regular displacement field is approximated by: ˆ= u Nd (5) where N is the standard vector of shape functions of the element…”

Section: Approximation Of the Displacement And Strain Fieldsmentioning

confidence: 99%

“…The discontinuity surfaces of the surrounding elements are not aligned and the displacement jump is constant into these FEED. It is important to say that these elements do not have problems of spurious shear deformations and they satisfied the following requirements: (1) equilibrium, traction continuity across the discontinuity interface and (2) kinematics, free relative rigid body motions of the two portions of an element split up by a discontinuity [5].…”

Section: Approximation Of the Displacement And Strain Fieldsmentioning

confidence: 99%

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Modelling of Diagonal Compression Masonry Wallets by Finite Elements With Embedded Discontinuities

Juãrez-Luna¹,

Tena‐Colunga²

2015

Proceedings of the 5th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering (COM

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This paper investigates the behaviour of small square masonry subassembly, wallets, subject to axial compression, involving their crack pattern and the shear stress-shear strain curves. Masonry and mortar were discretized with quadrilateral finite elements with embedded discontinuities, which have three degrees of freedom per node. The constitutive behaviours of blocks, bricks and mortar consider the softening deformation after reaching a failure surface. The numerical modelling of experimental tests for combined masonry wallets were performed in the Finite Element Analysis Program (FEAP). The computed shear stressshear strain curves with finite elements with embedded discontinuities showed a fairly good agreement in terms of the initial stiffness, strength, ultimate load and dissipative behaviour; also, the computed cracking patter is congruent with the experimental one.

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Section: Variational Formulationmentioning

confidence: 99%

“…The regular displacement field is approximated by: ˆ= u Nd (5) where N is the standard vector of shape functions of the element…”

Section: Approximation Of the Displacement And Strain Fieldsmentioning

confidence: 99%

Section: Approximation Of the Displacement And Strain Fieldsmentioning

confidence: 99%

See 1 more Smart Citation

Modelling of Diagonal Compression Masonry Wallets by Finite Elements With Embedded Discontinuities

Juãrez-Luna¹,

Tena‐Colunga²

2015

Proceedings of the 5th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering (COM

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“…Another alternative to simulate materi-Latin American Journal of Solids and Structures 11 (2014) 2444-2459 al failure is the strain localization model (Simo et al 1993, Oliver 1996a, 1996b, Armero and Garikipati 1996, Juárez and Ayala 2009, Juárez-Luna and Ayala 2014, which considers that only one discontinuity (crack) may propagate into a finite element, so in the case that multi cracks appears, the computational cost of their propagation is high.…”

Section: Introductionmentioning

confidence: 99%

An isotropic damage model to simulate collapse in reinforced concrete elements

Juãrez-Luna

Méndez-Martínez

Ruiz-Sandoval

2014

Lat. Am. j. solids struct.

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A damage model with different failure surface in tension and compression is formulated, implemented and validated to study reinforced concrete elements under actions which induce their collapse. The constitutive behaviour of concrete considers the softening deformation after reaching a failure surface, whereas the hardening of the reinforcing steel is represented by a plasticity von Mises surface. The developed damage model does not exhibit the problem of stress locking as the smeared cracking model does; this guaranties an adequate energy release as the material fails. Numerical examples are presented showing the validity of the developed damage model for modelling the behaviour of reinforced concrete elements up to their collapse.

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Analyzing material softening and strain localisation through embedded strong discontinuity approach within velocity-based beam formulation

Kusuma Chandrashekhara,

Zupan

2024

Computers & Structures

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Improvement of some features of finite elements with embedded discontinuities

Cited by 8 publications

References 30 publications

Modelling of Diagonal Compression Masonry Wallets by Finite Elements With Embedded Discontinuities

Modelling of Diagonal Compression Masonry Wallets by Finite Elements With Embedded Discontinuities

An isotropic damage model to simulate collapse in reinforced concrete elements

Analyzing material softening and strain localisation through embedded strong discontinuity approach within velocity-based beam formulation

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