A thermo-mechanical cohesive zone formulation for ductile fracture

Fagerström, Martin; Larsson, Ragnar

doi:10.1016/j.jmps.2008.06.002

Cited by 66 publications

(26 citation statements)

References 32 publications

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“…Cazes et al (2009), Ijaz et al (2014 provided a formulation for a non-local damage-type cohesive zone model. Within a thermomechanical framework Özdemir et al (2010), Willam et al (2004), Fagerström and Larsson (2008), Fleischhauer et al (2013) studied the effects of degradation of the cohesive interface on thermal properties. The coupling of an interface damage model and friction is provided in (Alfano and Sacco 2006;Chaboche et al 1997;Lin et al 2001;Parrinello et al 2009;Raous 2011, among others) using cohesive zone models.…”

Section: State-of-the-art Review Of Interface Elasticitymentioning

confidence: 99%

Coherent Energetic Interfaces Accounting for In-Plane Degradation

Esmaeili¹,

Javili²,

Steinmann³

2017

Defect and Material Mechanics

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Interfaces can play a dominant role in the overall response of a body. The importance of interfaces is particularly appreciated at small length scales due to large area to volume ratios. From the mechanical point of view, this scale dependent characteristic can be captured by endowing a coherent interface with its own elastic resistance as proposed by the interface elasticity theory. This theory proves to be an extremely powerful tool to explain size effects and to predict the behavior of nano-materials. To date, interface elasticity theory only accounts for the elastic response of coherent interfaces and obviously lacks an explanation for inelastic interface behavior such as damage or plasticity. The objective of this contribution is to extend interface elasticity theory to account for damage of coherent interfaces. To this end, a thermodynamically consistent interface elasticity theory with damage is proposed. A local damage model for the interface is presented and is extended towards a non-local damage model. The non-linear governing equations and the weak forms A. Esmaeili · P. Steinmann (B) Chair of Applied Mechanics, University of Erlangen-Nuremberg, Egerlandstrasse 5, 91058 Erlangen, Germany e-mail: paul.steinmann@ltm.uni-erlangen.de A. Esmaeili e-mail: ali.esmaeili@ltm.uni-erlangen.de A. Javili Department of Mechanical Engineering, Bilkent University, 06800 Ankara, Turkey e-mail: ajavili@bilkent.edu.tr thereof are derived. The numerical implementation is carried out using the finite element method and consistent tangents are listed. The computational algorithms are given in detail. Finally, a series of numerical examples is studied to provide further insight into the problem and to carefully elucidate key features of the proposed theory.

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Section: State-of-the-art Review Of Interface Elasticitymentioning

confidence: 99%

Coherent Energetic Interfaces Accounting for In-Plane Degradation

Esmaeili¹,

Javili²,

Steinmann³

2017

Defect and Material Mechanics

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“…(7), (8) and (9). For a partially cracked surface, in case of crack closure, heat will be conducted through the undamaged bridging solid fractions and through the contacting asperities over the regions where the two surfaces are completely detached.…”

Section: Heat Conductance and Thermal Expansion Through An Interfacementioning

confidence: 99%

“…Furthermore, it requires some extra effort to convert the formulation into a favorable format considering implementation aspects [8]. Motivated by ductile fracture problems [9] presents a similar formulation in the sense that the interface has its own thermodynamical potentials and an efficient discretization is realized within an X-FEM framework.…”

Section: Introductionmentioning

confidence: 99%

A Thermo-mechanical cohesive zone model

2010

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In this paper, a cohesive zone formulation that is suitable for the thermo-mechanical analysis of heterogeneous solids and structural systems with contacting/ interacting components, is presented. Well established traction-opening relations are adopted and combined with micromechanically motivated heat flux-opening relations reflecting the evolving heat transfer through the interfaces. The finite element approach for a coupled analysis within an operator-split solution framework is presented and demonstrated with an example problem.

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“…However in those studies the methodology is only fully developed for 1D cases and the location of the crack has to be assumed a priori. It is also worth mentioning the extension of these works to a thermomechanical framework by Fagerström et al (Fagerstrom and Larsson 2008) level set approach by Möes et al (2011), which incorporates the damage variable in the level set to model the behavior of elastic-damageable solids in a new way. The XFEM possesses interesting characteristics to develop a successful simulation of ductile failure processes, and a simple strategy on how to apply it is briefly described in this section.…”

Section: Damage To Fracture Transition Introductionmentioning

confidence: 99%

Ductile Failure Modelling: Stress Dependence, Nonlocality, and Damage to Fracture Transition

Pires

Andrade³

et al. 2013

Handbook of Damage Mechanics

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In this chapter, some recent developments and proposals for improvement of material models at the constitutive level to deal with ductile damage at large plastic strains are addressed. Numerical tests are carried out to test their performance on shear-dominated stress states where their main differences lie. Subsequently, aspects of the use of nonlocal models for the regularization of the numerical values associated with damage models, namely, discretization dependency, are reviewed. Different approaches on the choice of the regulation variable or variables are tested at different stress states characterized by different values of triaxiality and third invariant of the deviatoric stress tensor. Finally, a simple strategy on how to handle the transition from damage to fracture by means of the extended finite element method is described.

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A thermo-mechanical cohesive zone formulation for ductile fracture

Cited by 66 publications

References 32 publications

Coherent Energetic Interfaces Accounting for In-Plane Degradation

Coherent Energetic Interfaces Accounting for In-Plane Degradation

A Thermo-mechanical cohesive zone model

Ductile Failure Modelling: Stress Dependence, Nonlocality, and Damage to Fracture Transition

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