A numerical study on the correlation between the work of separation and the dissipation rate in ductile fracture

Siegmund, Thomas; Brocks, W.

doi:10.1016/s0013-7944(00)00054-0

Cited by 156 publications

(92 citation statements)

References 31 publications

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“…Siegmund [36] and later Scheider [37] used FE simulations to predict the deformation behaviour of ductile metals using a single--void unit cell. They demonstrated that, due to the micromechanisms of void growth and coalescence, the energy dissipation rate is not a material constant.…”

Section: Constraint Dependent Czmmentioning

confidence: 99%

Effects of bond gap thickness on the fracture of nano-toughened epoxy adhesive joints

Cooper

Ivanković

Karač

et al. 2012

Polymer

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Publication information Polymer, 53 (24): 5540-5553Publisher Elsevier Item record/more information http://hdl.handle.net/10197/5950 Publisher's statementThis is the author's version of a work that was accepted for publication in Polymer. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Polymer (53, 24, (2012)) DOI: http://dx.doi/org/10.1016/j.polymer.2012.09.049Publisher's version (DOI) http://dx.doi.org/10.1016/j.polymer.2012.09.049 NotesOther RMSIDs: 316516744Some rights reserved. For more information, please see the item record link above. Bosnia and Herzegovina AbstractThe current work is a combined experimental--numerical study of the fracture behaviour of a nano--toughened, structural epoxy adhesive. The mode I fracture toughness of the adhesive is measured using tapered double--cantilever beam ( IntroductionThe accurate and efficient determination of the fracture toughness and the associated fracture mechanisms of a structural adhesive are of fundamental importance to adhesive manufacturers and end users alike. The ability to predict the behaviour of such joints can lead to better designs, increased performance, reduced costs and enhanced safety. Better understanding of the structure--property relationship will ultimately lead towards improved adhesives with tailored properties. However, the behaviour of joints in real structures is difficult to predict since their behaviour, including the failure mechanisms, are complex to measure and model. The testing of prototypes and trial structures is costly and time--consuming. Consequently, there has been a growing motivation for the development of theoretical models for predicting the damage and failure of adhesive joints. These models require geometry independent material parameters, which are usually obtained from tests with simpler geometries and subsequently applied in the analysis of more complexgeometries.An important parameter in adhesive joint design is the bond gap thickness (BGT) which needs to be accurately controlled in order to obtain a consistent and reliable joint strength. In the current work, the mode I fracture behaviour of a nano--toughened, structural epoxy adhesive was examined using low--rate TDCB tests with various bond gap thicknesses. The Application of the CZM to adhesive jointsCohesive zone models are widely used to model the fracture of adhesive joints. In general, the substrates are modelled as elastic--plastic continua while two main approaches are adopted for the modelling of the adhesive layer: i) CZM is used to represent the entire adhesive layer, ii) the adhesive layer is modelled as a continuum while CZM is used to describe the local fracture process. A number of authors have used a single row of cohesive zone elements to represent the adhesive layer, e.g. ...

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Section: Constraint Dependent Czmmentioning

confidence: 99%

Effects of bond gap thickness on the fracture of nano-toughened epoxy adhesive joints

Cooper

Ivanković

Karač

et al. 2012

Polymer

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“…Typical examples of CSM applied to dynamics fracture simulations are shown in Falk et al [6], Xu and Needleman [7] and Pandolfi et al [8]. In ductile fracture analysis, CSM have been utilized by Hutchinson and Evans [9], Tvergaard [10], Siegmund and Brocks [11], Huespe et al [12], Huespe et al [13]. Furthermore, and from the pioneering works of Hillerborg [14], Bažant [15] and Elices et al [16], CSM models have been widely applied to the field of quasi-brittle materials for modeling concrete fracture problems.…”

Section: Literature Reviewmentioning

confidence: 99%

“…A viable technique to deal with these complex phenomena is the use of multi-scale models, adopting cohesive forces on the interfaces and determining the traction-separation law through a micro-structural analysis. Several works have followed this approach, such as Siegmund and Brocks [11]. However, most of them consider a multi-scale technique where the transference of information between scales flows only in one direction, from the smaller length scale to the larger one (hierarchical model).…”

Section: Literature Reviewmentioning

confidence: 99%

Cohesive surface model for fracture based on a two-scale formulation: computational implementation aspects

et al. 2016

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Keywords: multi-scale cohesive models, computational homogenization, heterogeneous material failure, Embedded Finite Elements (EFEM). AbstractThe paper describes the computational aspects and numerical implementation of a two-scale cohesive surface methodology developed for analyzing fracture in heterogeneous materials with complex microstructures. This approach can be categorized as a semi-concurrent model using the Representative Volume Element (RVE) concept.A variational multi-scale formulation of the methodology has been previously presented by the authors. Subsequently, the formulation has been generalized and improved in two aspects: i) cohesive surfaces have been introduced at both scales of analysis, they are modeled with a strong discontinuity kinematics (new equations describing the insertion of the macro-scale strains, into the micro-scale and the posterior homogenization procedure have been considered); ii) the computational procedure and numerical implementation have been adapted for this formulation. The first point has been presented elsewhere, and it is summarized here. Instead, the main objective of this paper is to address a rather detailed presentation of the second point.Finite element techniques for modeling cohesive surfaces at both scales of analysis (FE 2 approach) are described: i) finite elements with embedded strong discontinuities (EFEM) are used for the macroscale simulation, and ii) continuum-type finite elements with high aspect ratios, mimicking cohesive surfaces, are adopted for simulating the failure mechanisms at the micro-scale.The methodology is validated through numerical simulation of a quasi-brittle concrete fracture problem. The proposed multi-scale model is capable of unveiling the mechanisms that lead from the material degradation phenomenon at the meso-structural level to the activation and propagation of cohesive surfaces at the structural scale.

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“…As Siegmund and Brocks [2] point out, to the present, "local approaches" are the only really successful methods for prediction of crack growth resistance.…”

Section: Introductionmentioning

confidence: 99%

Simulation of dynamic ductile crack growth using strain-rate and triaxiality-dependent cohesive elements

Anvari

Scheider

Thaulow

2006

Engineering Fracture Mechanics

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Rate-sensitive and triaxiality-dependent cohesive elements are used to simulate crack growth under quasi-static and dynamic loading conditions. The simulations are performed for a middle-cracked tension M(T) specimen made of an aluminum alloy (6XXX-series). To consider the effect of stress triaxiality and strain rate on the cohesive properties, a single plane strain element obeying the constitutive equations of a rate-dependent Gurson type model has been used. The single element is loaded under various stress biaxiality ratios and strain rates and the obtained stress-displacement curves are considered as traction separation law for the cohesive elements. These curves are used for analyzing the aluminum M(T) specimen. The qualitative effects of constraint, strain rate, inertia and stress waves on the energy absorption of the specimen and crack growth are discussed.

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A numerical study on the correlation between the work of separation and the dissipation rate in ductile fracture

Cited by 156 publications

References 31 publications

Effects of bond gap thickness on the fracture of nano-toughened epoxy adhesive joints

Effects of bond gap thickness on the fracture of nano-toughened epoxy adhesive joints

Cohesive surface model for fracture based on a two-scale formulation: computational implementation aspects

Simulation of dynamic ductile crack growth using strain-rate and triaxiality-dependent cohesive elements

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