An extended cohesive damage model for simulating arbitrary damage propagation in engineering materials

Li, Xiaole; Chen, Jiye

doi:10.1016/j.cma.2016.11.029

Cited by 31 publications

(25 citation statements)

References 37 publications

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“…M is a transformation matrix to link the a ext f and u ext f as below. The exact expression for M can be found in the authors' previous work [34]. It should be noted that in most cases M is zero because there is no external load applied on the cohesive crack.…”

Section: Discrete and Condensed Equilibrium Equationsmentioning

confidence: 99%

“…This modelling simulation confirms the mesh independence of the developed ECDM approach and the robustness of the crack tracking algorithm. ECDM-S1 ECDM-S2 ECDM-S3 Extended E-FEM [34] XFEM [38] Experiment [37] Fig.14. Loaddisplacement curves given by ECDM, XFEM, E-FEM and experiment.…”

Section: Single-edge Notched Beammentioning

confidence: 99%

“…Sometimes, it tends to be even impossible to achieve convergent solution when encountering highly strong nonlinearity [33]. In consideration of this drawback, a novel Extended Cohesive Damage Model (ECDM) was recently developed by the authors to describe the arbitrary crack propagation in engineering materials [34]. The purpose of this work is to introduce the numerical implementation and assess the performance of the ECDM in characterizing the arbitrary crack propagation in engineering materials.…”

Section: Introductionmentioning

confidence: 99%

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A highly efficient numerical approach: extended cohesive damage model for predicting multicrack propagation

Chen

2017

Materials at High Temperatures

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A highly efficient numerical approach: extended cohesive damage model (ECDM) for predicting multicrack propagation is introduced in this paper. The ECDM is developed within the framework of the eXtended Finite Element Method (XFEM). Unlike XFEM the enriched degrees of freedom are eliminated from the final condensed equilibrium equations in the ECDM. To account for the cohesive crack effect, an equivalent damage scalar relating to a strain field is introduced in terms of energy dissipation. The ECDM is capable of characterizing discontinuities with conventional degrees of freedom (DoFs) only, thus it is significantly efficient in modelling multicrack propagation. The basic formulations, numerical implementation and detailed investigation of the performance of the ECDM through modelling the selected benchmark specimens are given in this paper. This investigation shows the ECDM can effectively guarantee the convergent solutions in nonlinear fracture analysis and can efficiently reduce the computer CPU time in modelling selected fracture benchmark specimens by more than 60% compared to the XFEM in ABAQUS. Therefore, the ECDM is a robust computational approach for predicting multicrack failure mechanism in engineering materials and structures.

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Section: Discrete and Condensed Equilibrium Equationsmentioning

confidence: 99%

Section: Single-edge Notched Beammentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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A highly efficient numerical approach: extended cohesive damage model for predicting multicrack propagation

Chen

2017

Materials at High Temperatures

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“…Quantification of the phenomena connected with Λ can be performed utilizing the cohesive model by [29] and [31]. Opening and closing of interfaces can be expressed using the relation…”

Section: B Cohesive Interfacesmentioning

confidence: 99%

“…in details. Available generalizations, handling the quasi-static case, discussed in [26] separately, as well as composite structures and cohesive interfaces, motivated by [27], [4], [28], [29] (for various types of fibre composites), [30] (for ceramics) and [31] (for a rather general class of damage propagation), will be sketched in Section III.. Section IV.…”

Section: Introductionmentioning

confidence: 99%

On a Computational Approach to Micro- and Macro-modelling of Damage in Brittle and Quasi-brittle Materials

Vála

Kozák

Jarošová³

2020

International Journal of Mechanics

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Computational modelling of damage in brittle and quasi-brittle materials needs some coupling between micro- and macroscopic crack initiation and evolution, up to their non-negligible softening behaviour. Most such approaches contain ad hoc evaluations, with some physical and engineering motivations, namely those connected with massive application of steel fibre-reinforced concrete and similar composites in building projects, but without any proper mathematical existence and convergence analysis for the time development of damage. This paper presents a possibility of such deterministic analysis on a selected model problem of structural dynamics, supplied by comments to useful directions of generalization. Several application examples document the feasibility of such approach, up to its software implementation and real data validation.

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A multiphase hybrid-stress finite element method for macroscopic and microscopic modeling of composites: An element with multiple interfaces

Guo

Wang

2023

Applied Mathematical Modelling

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An extended cohesive damage model for simulating arbitrary damage propagation in engineering materials

Abstract: An extended cohesive damage model for simulating arbitrary damage propagation in engineering materials, Comput. Methods Appl. Mech. Engrg.

Cited by 31 publications

References 37 publications

A highly efficient numerical approach: extended cohesive damage model for predicting multicrack propagation

A highly efficient numerical approach: extended cohesive damage model for predicting multicrack propagation

On a Computational Approach to Micro- and Macro-modelling of Damage in Brittle and Quasi-brittle Materials

A multiphase hybrid-stress finite element method for macroscopic and microscopic modeling of composites: An element with multiple interfaces

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