Physical interpretation of parameters in synergistic continuum damage mechanics model for laminates

Vārna, Jānis

doi:10.1016/j.compscitech.2008.04.037

Cited by 19 publications

(9 citation statements)

References 15 publications

(27 reference statements)

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“…For assessing the energy release rate in each Gauss point because of transverse cracking formation and fibre breakage propagation, by assuming a virtual damage mode in considered laminate unit cell, the energy release rate can be estimated using Eqs. (14) or (16). After checking the possibility of matrix cracking formation by Eq.…”

Section: O M P U T a T I O N A L C D M M O D E Lmentioning

confidence: 99%

“…Continuum damage mechanics (CDM) is another well‐known powerful approach for analysing the nonlinear damage behaviour of materials, which has been established and developed in recent years. Many researchers followed the concept of CDM for analysing various types of damages in composites . In the early performed researches using CDM, the damage condition was mainly assumed to be isotropic and the damage parameter was considered as a scalar factor .…”

Section: Introductionmentioning

confidence: 99%

“…They considered three failure modes including fibre breakage, matrix cracking and fibre/matrix interface shear failure and proposed three damage evolution laws including different damage variables and conjugate forces. Varna developed a CDM model and used a theoretical framework to link the macro response of a damaged laminate to the opening and sliding displacements of crack surfaces in an exact form. Using this methodology he could generate second‐order damage tensors related to crack face opening and sliding and reduced the characterization tests for determination of theses parameters.…”

Section: Introductionmentioning

confidence: 99%

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A computational continuum damage mechanics model for predicting transverse cracking and splitting evolution in open hole cross‐ply composite laminates

Babaei

Farrokhabadi

2016

Fatigue Fract Eng Mat Struct

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The present study focuses on a computational constitutive model which predicts the matrix cracking evolution and fibre breakage in cross‐ply composite laminates with open hole under in‐plane loading. To consider the effects of matrix cracking on the nonlinear response of laminates, a simplified crack density based model is applied which evaluates the representative damage parameters of matrix cracking. Furthermore, a developed subroutine based on continuum damage mechanics concepts is applied in ANSYS code which is capable to consider the transverse cracking/splitting evolution and predict the final failure load of mentioned laminate under monotonic loading in a progressive damage analyses. It is shown that the obtained stress–strain behaviours and the damage evaluation of considered laminates are in good agreement with the available experimental results.

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Section: O M P U T a T I O N A L C D M M O D E Lmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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A computational continuum damage mechanics model for predicting transverse cracking and splitting evolution in open hole cross‐ply composite laminates

Babaei

Farrokhabadi

2016

Fatigue Fract Eng Mat Struct

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“…In Singh and Talreja (2009), a “synergistic CDM” was introduced, realizing that the damage parameter is proportional to the above discussed COD and can be found performing FEM calculations. In Varna (2008), the physical meaning of the CDM constants was identified analyzing the GLOB-LOC expressions. In many other simple CDM versions suitable for practical applications, the damage parameters are scalars, not elements of a tensor.…”

Section: Introductionmentioning

confidence: 99%

Crack face sliding displacement (CSD) as an input in exact GLOB-LOC expressions for in-plane elastic constants of symmetric damaged laminates

Loukil

Vārna

2019

International Journal of Damage Mechanics

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The crack opening and crack sliding displacements of both faces of an intralaminar crack are the main parameters defining the significance of each crack in laminate stiffness degradation, according to the previously published GLOB-LOC approach for symmetric laminates with an arbitrary number of cracks in all plies. In the exact stiffness expressions of this approach, the crack density is always multiplied by crack opening displacement and crack sliding displacement. The dependence of crack opening displacement on geometrical and elastic parameters of adjacent plies was studied previously and described by simple fitting functions. The crack sliding displacement has been analyzed for low-crack densities only and the proposed finite element method-based fitting expressions are oversimplified not including the out-of-plane ply stiffness effects. Based on finite element method analysis, more accurate expressions for so-called non-interactive cracks are suggested in the presented article. For the first time the shear stress perturbations are analyzed and interaction functions are presented with the feature that they always lead to slightly conservative predictions. The presented simple fitting functions, when used in the GLOB-LOC model, give predictions that are in a good agreement with finite element method results and with experimental data for laminates with damaged off-axis plies in cases when crack face sliding is of importance. The significance of including crack sliding displacement in stiffness predictions is demonstrated.

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“…It was found by analysis that the material parameters are related to the constrained parameters of adjacent layers. Varna 17 proved that the material parameters in the CDM model are determined by normalized crack surface displacement. As a phenomenological model, macro-damage models do not distinguish different damage mechanisms and hence cannot reflect different influence of different damage mechanisms.…”

Section: Introductionmentioning

confidence: 99%

A multidirectional damage model for fiber-reinforced plastic laminates under static load

Yao

Shen³

2019

Journal of Composite Materials

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A multidirectional damage model based on continuum damage mechanics for fiber-reinforced composite laminates is proposed in this paper. The influence of three main damage mechanisms, including transverse matrix cracking, local delamination, and fiber breakage, on the multidirectional stiffness properties of composite laminates is analyzed by introducing macro phenomenological damage variables. Then the mechanical behavior of elementary ply in laminates is modeled based on these damage variables. Besides, relations between micro-level damage variables and macro-level damage variables are established. Damage evolution laws of the three damage mechanisms are proposed to predict the degradation of multidirectional stiffness and failure strength of composite laminates under quasi-static loading. The experiment of cross-ply glass fiber-reinforced plastic laminates is carried out, and the prediction results show good agreement with the experimental results.

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Physical interpretation of parameters in synergistic continuum damage mechanics model for laminates

Cited by 19 publications

References 15 publications

A computational continuum damage mechanics model for predicting transverse cracking and splitting evolution in open hole cross‐ply composite laminates

A computational continuum damage mechanics model for predicting transverse cracking and splitting evolution in open hole cross‐ply composite laminates

Crack face sliding displacement (CSD) as an input in exact GLOB-LOC expressions for in-plane elastic constants of symmetric damaged laminates

A multidirectional damage model for fiber-reinforced plastic laminates under static load

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