Fundamental Issues of Smeared Crack Models

Willam, Kaspar; Pramono, Eddy; Sture, Stein

doi:10.1007/978-1-4612-3578-1_15

Cited by 59 publications

(61 citation statements)

References 13 publications

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“…The Figure 8d compare the rotating stress response with the uniaxial stress response (US) without any rotation strains and correctly shows degradation of strength in the lateral direction with rotation. Figure 8e shows that the major principal stress decreases as the shear strain increases, as is desirable (Willam et al, 1987).…”

Section: Matrix Shrinkage During the Willam Et Al (1987) Strain Pathmentioning

confidence: 81%

The simulation of inelastic matrix strains in cementitious materials using micromechanical solutions

Jefferson

2015

Engineering Fracture Mechanics

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A new approach is described for simulating inelastic behaviour in the matrix component of a two-phase composite material. Quasi-isotropic distributed micro-cracking, accompanying volumetric matrix changes, is combined with anisotropic micro-cracking arising from directional loading. An exterior point Eshelby solution is used to obtain stress concentrations adjacent to inclusions. The accuracy of these solutions is assessed using a series of three dimensional finite element analyses. A set of stress/ strain paths are considered to illustrate the model's characteristics. The model is then applied to the problem of autogenous shrinkage in a cementitious composite, giving results that compare favourably with experimental data.

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Section: Matrix Shrinkage During the Willam Et Al (1987) Strain Pathmentioning

confidence: 81%

The simulation of inelastic matrix strains in cementitious materials using micromechanical solutions

Jefferson

2015

Engineering Fracture Mechanics

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“…Let us perform classical (numerical) Willam test which submits a RVE to tension/shear with significant rotation of the principal strain directions [45]. This test is now widely used to verify that no stress-strain discontinuities are introduced by complex 3D constitutive damage models for concrete [46,47,48,49,23,26,50].…”

Section: Dissipation In Non Proportional Loading: Example Of Willam Testmentioning

confidence: 99%

Intrinsic dissipation of a modular anisotropic damage model: Application to concrete under impact

Chambart

Desmorat

Gatuingt

2014

Engineering Fracture Mechanics

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Based on the mathematical proof of the positivity of the dissipation due to anisotropic damage, different numerical scheme to compute such a dissipation in concrete structures are proposed. The positivity of intrinsic dissipation for the considered modular anisotropic damage model is first checked in the case of Willam non-proportional loading test, then checked for different impact tests on concrete structures. Both the consequences of the modeling of the strain rate effect in tension (from visco-damage) and of the damage deactivation (micro-cracks closure) for alternated loadings are studied.

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“…In general, crack simulation may be described by the non-local model [48], the continuous smeared crack model [49], the discrete crack model [50], etc.…”

Section: Existing Models Of Discontinuitiesmentioning

confidence: 99%

Simulation of cracks in a Cosserat medium using the extended finite element method

Kapiturova

Gracie

Potapenko

2014

Mathematics and Mechanics of Solids

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This research investigates fracture behaviour in the Cosserat materials. The Cosserat elasticity description of the materials incorporates a characteristic length scale (e.g. grains, particles, fibres, etc.) into the model. The characteristic length scale in such materials is known to significantly influence the macroscopic behaviour of the whole body. Simulation of the fracture processes, such as crack opening and propagation, in Cosserat materials still remains a challenge for the scientific community. The goal of this thesis is to propose and validate a two dimensional extended finite element method model of edge cracks within the Cosserat elasticity theory framework.The crack modelling was conducted using the Finite Element Method (FEM) and eXtended Finite Element Method (XFEM) implemented in the Matlab code. The strong and weak formulations of the problem and the discrete XFEM equations are presented in the thesis. Mode I and II edge crack models in a Cosserat medium are discussed and verified through a series of patch and convergence tests. In addition, the numerical evaluation of the J-integral for the Cosserat medium is presented, and the J-integral for the Cosserat medium is compared to the J-integral for the classical elasticity.The XFEM/Cosserat method is shown to be robust and able to effectively model the edge crack problems in a Cosserat medium. Moreover, the elastic parameter α is found to be a powerful coupling tool between the microrotations and the translations. The Cosserat J-integral differs from the classical J-integral by 2% to 40%, for a given crack depending on the micropolar elastic coupling constant α.iii Acknowledgements I would like to thank my supervisors, Dr. Robert Gracie and Dr. Stanislav Potapenko, for their guidance and support during my study at the University of Waterloo.

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Fundamental Issues of Smeared Crack Models

Cited by 59 publications

References 13 publications

The simulation of inelastic matrix strains in cementitious materials using micromechanical solutions

The simulation of inelastic matrix strains in cementitious materials using micromechanical solutions

Intrinsic dissipation of a modular anisotropic damage model: Application to concrete under impact

Simulation of cracks in a Cosserat medium using the extended finite element method

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