Validation of 3D crack propagation in plain concrete -Part I: Experimental investigation - the PCT3D test

Feist, Christian; Hofstetter, Günter

doi:10.12989/cac.2007.4.1.049

Cited by 9 publications

(8 citation statements)

References 7 publications

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“…By averaging the crack plane normal over a certain neighborhood, Gasser and Holzapfel [27,28] ensure that the generated failure surface is smooth in average, see also [29,40]. However, as for all non-local averaging techniques, this concept is not really tailored to the modular element-wise nature of finite element analyses.…”

Section: Motivationmentioning

confidence: 99%

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Modeling three‐dimensional crack propagation—A comparison of crack path tracking strategies

Jäger

Steinmann

Kuhl

2008

Numerical Meth Engineering

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SUMMARYThe development of a new finite element technique for the simulation of discontinuous failure phenomena in three dimensions is the key objective of this study. In contrast to the widely used extended finite element technique, we apply a purely deformation-based strategy based on an independent interpolation of the deformation field on both sides of the discontinuity. This method has been applied successfully for two-dimensional crack propagation problems in the past. However, when it comes to three-dimensional failure phenomena, it faces the same difficulties as the extended finite element method. Unlike in two dimensions, the characterization for the three-dimensional failure surface is non-unique and the tracking of the discrete crack can be performed in several conceptually different ways. In this work, we review the four most common three-dimensional crack tracking strategies. We perform a systematic comparison in terms of standard algorithmic quality measures such as mesh independency, efficiency, robustness, stability and computational cost. Moreover, we discuss more specific issues such as crack path continuity and integratability in commercial finite element packages. The features of the suggested crack tracking algorithms will be elaborated by means of characteristic benchmark problems in failure analysis.

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Section: Motivationmentioning

confidence: 99%

“…An alternative strategy that successfully circumvents the limitations of the local tracking scheme has been introduced by Gasser and Holzapfel [27,28], see also Gasser [29] and Feist and Hofstetter [40].…”

Section: Non-local Trackingmentioning

confidence: 99%

Modeling three‐dimensional crack propagation—A comparison of crack path tracking strategies

Jäger

Steinmann

Kuhl

2008

Numerical Meth Engineering

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“…It has recently drawn increasing attention in the context of safety and reliability of concrete buildings, bridges, storage containers, and other engineering structures subjected to high impact loading or explosion. Especially the numerical treatment of tensile dominated brittle fracture of concrete has been under extensive research interest in the past decade, see, e.g., [1][2][3][4][5][6][7][8][9][10][11]. Here, tensile dominated failure refers to degradation phenomena in which the tensile failure patterns can be regarded as dominant over to shear failure which, in turn, is common in metallic materials.…”

Section: Introductionmentioning

confidence: 99%

Towards the treatment of boundary conditions for global crack path tracking in three-dimensional brittle fracture

2009

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The aim of the present paper is a systematic elaboration of a three dimensional finite element analysis tool for discontinuous fracture in brittle solids. Brittle or quasi-brittle fracture usually occurs when a material reaches the limit of its strength and no plastic deformation has been observed prior to failure. In the present approach, this kind of failure is characterized by three sets of governing equations: (i) the elastic bulk problem and (ii) the cohesive interface problem regarding the solid deformation field and (iii) the crack tracking problem concerning the crack kinematics. This manuscript describes a unique modular tool set for the coupled set of nonlinear equations. We focus in particular on the boundary conditions for the crack tracking problem of this analysis tool. We critically discuss important implementation details: (i) the choice of crack onset boundary conditions for the additional global field, (ii) the numerical integration, (iii) the modeling of geometrically exact crack tips for cohesive fracture, and (iv) the post-processing procedure for the discontinuity visualization. The potential of the method to simulate brittle fracture is demonstrated by qualitative and quantitative comparisons with experiments from the literature as well as by common benchmark problems.

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“…The dimensions of the specimen together with the boundary conditions and the loading are shown in Figure 5. The test layout is described in detail in [58] and [59]. Hence, here only a brief overview of the test arrangement is provided.…”

Section: Triaxial Compression Testsmentioning

confidence: 99%

“…The employed material parameters for the concrete specimen and the support rollers and the load application roller, both made of steel, are summarized in Table III. According to [59], the uniaxial tensile strength of f tu = 4.83 N/mm 2 , determined on prismatic samples of the same concrete as the PCT-3D specimens, overestimates the apparent tensile strength of the latter. As shown in [59] this deficiency is confirmed by a comparison of the measured uniaxial tensile strength with estimates computed from the flexural tensile strength, the splitting tensile strength and the compressive strength.…”

Section: Triaxial Compression Testsmentioning

confidence: 99%

Review and enhancement of 3D concrete models for large‐scale numerical simulations of concrete structures

Hofstetter

2011

Num Anal Meth Geomechanics

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The present paper focuses on selected plasticity and damage-plasticity models for describing the 3D material behavior of concrete. In particular, a plasticity model and a damage-plasticity model are reviewed and evaluated. Based on the results of the evaluation, enhancements are proposed, aiming at improving the correspondence between predicted and observed material behavior and aiming at implementing a robust and efficient stress update algorithm in a finite element program for performing large-scale 3D numerical simulations of concrete structures. The capabilities of the concrete models are demonstrated by 3D numerical simulations of benchmark tests with combined bending and torsional loading and combined compression and shear loading and by a large-scale 3D finite element analysis of a model test of a concrete arch dam. Copyright [14] modified the concrete model of Willam [5] to improve its robustness for the stress update. Haufe [15] enhanced the evolution equations of the yield function and the plastic potential of the concrete model developed by Kang [11]. Pivonka [16] extended two elastic-plastic models for describing concrete behavior due to high compressive stresses. Different from most classical plasticity models, Grassl [17] developed a model in which hardening is controlled only by the volumetric part of the plastic strains. Recently, a single-parameter plasticity model for concrete was presented by Papanikolaou [18].Viscoelastic and/or viscoplastic models were developed for describing time-dependent material behavior, e.g. aging and creep of concrete (see, e.g., [19,20]). Viscoplastic models can also serve for regularizing rate-independent plasticity models in case of softening behavior.Constitutive models based on the theory of damage mechanics describe the degradation of the initial elastic stiffness tensor caused by propagating micro-cracks. Basically, isotropic damage models and anisotropic damage models can be distinguished. Isotropic damage models for concrete can be found, e.g., in [21,22] and a comparative study of different definitions of damage variables is contained in [23]. Huber [24] proposed a three-dimensional gradient-enhanced isotropic damage model. Anisotropic damage models were proposed, e.g., in [25] and by Papa [26], who used two independent second-order symmetric damage tensors for describing damage due to tensile and compressive strains, respectively. Based on the argument that damage is not related to the loading sign but to the micro-crack pattern Desmorat [27] developed a nonlocal anisotropic damage model which contains only one second-order damage tensor. A comparison of different damage models with regard to mesh bias effects can be found in [28].By combining the theories of plasticity and continuum damage mechanics, both irreversible (plastic) strains and the degradation of the elastic stiffness tensor can be described. Constitutive models for concrete based on the combination of the theories of plasticity and isotropic damage mechanics can be found, e.g. in [29][30][31][...

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Validation of 3D crack propagation in plain concrete -Part I: Experimental investigation - the PCT3D test

Cited by 9 publications

References 7 publications

Modeling three‐dimensional crack propagation—A comparison of crack path tracking strategies

Modeling three‐dimensional crack propagation—A comparison of crack path tracking strategies

Towards the treatment of boundary conditions for global crack path tracking in three-dimensional brittle fracture

Review and enhancement of 3D concrete models for large‐scale numerical simulations of concrete structures

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