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Автор: Grafiati

Опубліковано: 6 вересня 2023

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1

Rahaman, Md M., S. P. Deepu, D. Roy, and J. N. Reddy. "A micropolar cohesive damage model for delamination of composites." Composite Structures 131 (November 2015): 425–32. http://dx.doi.org/10.1016/j.compstruct.2015.05.026.

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2

Suh, Hyoung Suk, WaiChing Sun, and Devin T. O’Connor. "A phase field model for cohesive fracture in micropolar continua." Computer Methods in Applied Mechanics and Engineering 369 (September 2020): 113181. http://dx.doi.org/10.1016/j.cma.2020.113181.

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3

Roy, Samit, and Yong Wang. "Analytical Solution for Cohesive Layer Model and Model Verification." Polymers and Polymer Composites 13, no. 8 (November 2005): 741–52. http://dx.doi.org/10.1177/096739110501300801.

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Анотація:

The objective of this work was to find an analytical solution to the stresses in the cohesive damage zone and the damage zone length at the interface between a fibre reinforced polymer (FRP) plate and concrete substrate. Analytical solutions have been derived to predict the stress in the cohesive layer when considering the deformation in the stiff substrate. A two-dimensional cohesive layer constitutive model with a prescribed traction-separation (stress-strain) law was constructed using a modified Williams' approach, and analytical solutions derived for the elastic zone as well as the damage zone. Detailed benchmark comparisons of analytical results with finite element predictions for a double cantilever beam specimen were performed for model verification, and issues related to cohesive layer thickness were investigated. It was observed that the assumption of a rigid substrate in analytical modelling can lead to inaccurate analytical prediction of the cohesive damage zone length.

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4

Pouya, Ahmad, and Pedram Bemani Yazdi. "A damage-plasticity model for cohesive fractures." International Journal of Rock Mechanics and Mining Sciences 73 (January 2015): 194–202. http://dx.doi.org/10.1016/j.ijrmms.2014.09.024.

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5

Silitonga, Sarmediran, Johan Maljaars, Frans Soetens, and Hubertus H. Snijder. "Numerical Simulation of Fatigue Crack Growth Rate and Crack Retardation due to an Overload Using a Cohesive Zone Model." Advanced Materials Research 891-892 (March 2014): 777–83. http://dx.doi.org/10.4028/www.scientific.net/amr.891-892.777.

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Анотація:

In this work, a numerical method is pursued based on a cohesive zone model (CZM). The method is aimed at simulating fatigue crack growth as well as crack growth retardation due to an overload. In this cohesive zone model, the degradation of the material strength is represented by a variation of the cohesive traction with respect to separation of the cohesive surfaces. Simulation of crack propagation under cyclic loads is implemented by introducing a damage mechanism into the cohesive zone. Crack propagation is represented in the process zone (cohesive zone in front of crack-tip) by deterioration of the cohesive strength due to damage development in the cohesive element. Damage accumulation during loading is based on the displacements in the cohesive zone. A finite element model of a compact tension (CT) specimen subjected to a constant amplitude loading with an overload is developed. The cohesive elements are placed in front of the crack-tip along a pre-defined crack path. The simulation is performed in the finite element code Abaqus. The cohesive elements behavior is described using the user element subroutine UEL. The new damage evolution function used in this work provides a good agreement between simulation results and experimental data.

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6

Kim, Dae Kyu. "A constitutive model with damage for cohesive soils." KSCE Journal of Civil Engineering 8, no. 5 (September 2004): 513–19. http://dx.doi.org/10.1007/bf02899578.

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7

Goodarzi, M. Saeed, Hossein Hosseini-Toudeshky, and Meisam Jalalvand. "Shear-Mode Viscoelastic Damage Formulation Interface Element." Key Engineering Materials 713 (September 2016): 167–70. http://dx.doi.org/10.4028/www.scientific.net/kem.713.167.

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Анотація:

In this paper, a viscoelastic-damage cohesive zone model is formulated and discussed. The interface element constitutive law has two elastic and damage regimes. Viscoelastic behaviour has been assumed for the shear stress in the elastic regime. Three element Voigt model has been used for the formulation of relaxation modulus of the material. Shear Stress has been evaluated in the elastic regime of the interface with integration over the history of the applied strain at the interface. Damage evolution proceeds according to the bilinear cohesive constitutive law up to the complete decohesion. Numerical examples for one element model has been presented to see the effect of parameters on cohesive constitutive law.

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8

Abu Al-Rub, Rashid K., and Ammar Alsheghri. "Cohesive Zone Damage-Healing Model for Self-Healing Materials." Applied Mechanics and Materials 784 (August 2015): 111–18. http://dx.doi.org/10.4028/www.scientific.net/amm.784.111.

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Анотація:

A cohesive zone damage-healing model (CZDHM) derived based on the laws of thermodynamics for self-healing materials is presented. The well-known nominal, healing, and effective configurations of classical continuum damage mechanics are extended to self-healing materials. A new physically-based internal crack healing state variable is proposed for describing the healing evolution within the crack cohesive zone. The effects of temperature, crack-closure, and resting time on the healing behavior are discussed. Numerical examples are conducted to show the various novel features of the formulated CZDHM.

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9

Kale, Sohan, Seid Koric, and Martin Ostoja-Starzewski. "Stochastic Continuum Damage Mechanics Using Spring Lattice Models." Applied Mechanics and Materials 784 (August 2015): 350–57. http://dx.doi.org/10.4028/www.scientific.net/amm.784.350.

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In this study, a planar spring lattice model is used to study the evolution of damage variabledLin disordered media. An elastoplastic softening damage constitutive law is implemented which introduces a cohesive length scale in addition to the disorder-induced one. The cohesive length scale affects the macroscopic response of the lattice with the limiting cases of perfectly brittle and perfectly plastic responses. The cohesive length scale is shown to affect the strength-size scaling such that the strength increases with increasing cohesive length scale for a given size. The formation and interaction of the microcracks is easily captured by the inherent discrete nature of the model and governs the evolution ofdL. The proposed method provides a way to extract a mesoscale dependent damage evolution rule that is linked directly to the microstructural disorder.

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10

Iqbal, Javed. "Numerical Simulation of Cracking in Asphalt Concrete Through Continuum and Discrete Damage Model." International Journal for Research in Applied Science and Engineering Technology 9, no. 11 (November 30, 2021): 2018——2020. http://dx.doi.org/10.22214/ijraset.2021.39123.

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Анотація:

Abstract: This study describes the development of Continuum and Discrete Damage Models in commercial finite element code Abaqus/Standard. The Concrete Damage Plasticity Model has been simulated, analysed, and compared the result with the experimental data. For verification, the Cohesive Zone Model has been simulated and analysed. Furthermore, the Extended Finite Element Model and concrete damage model are discussed and compared. The continuum damage model tends to simulate the complex fracture behaviour like crack initiation and propagation along with the invariance of the result, while the cohesive zone model can simulate and propagate the crack as well as the good agreement of the result. Further work in the proposed numerical models can better simulate the fracture behaviour of asphalt concrete in near future. Keywords: Model, Concrete, Cohesive Zone, Finite element, Abaqus.

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11

Shao, Jiaru R., Niu Liu, and Zijun J. Zheng. "A modified progressive damage model for simulating low-velocity impact of composite laminates." Advances in Mechanical Engineering 14, no. 5 (May 2022): 168781322210959. http://dx.doi.org/10.1177/16878132221095948.

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Анотація:

A modified progressive damage model is constructed to analyze the damage mechanics and damage development of composite laminates induced by low-velocity impact in this article. The damage modes are judged by the 3D Hashin failure criterion. A modified damage evolution model, which was constructed based on through-thickness normal strain component [Formula: see text], is implemented to describe progressive damage of composites. Cohesive elements with quadratic failure criterion and B-K criterion are applied to simulate the development of delamination. The 3D Hashin criterion and modified damage evolution model are coded in VUMAT and called in the ABAQUS/Explicit package. The damage distribution and mechanical behavior, including impactor energy, react force, displacement, predicted by numerical simulation are compared with the experimental data of different impact energies (7.35, 11.03, and 14.70 J). The numerical results and experimental data are in good agreement, which suggests that the modified damage evolution model is beneficial for studying the dynamic mechanical behavior during impact. Moreover, the influence of cohesive element thickness on numerical results is discussed. It is concluded that the cohesive element thickness should be adopted between 0.001 and 0.0075 mm.

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12

Cazes, Fabien, Anita Simatos, Michel Coret, Alain Combescure, and Anthony Gravouil. "Cracking Cohesive Law Thermodynamically Equivalent to a Non-Local Damage Model." Key Engineering Materials 385-387 (July 2008): 81–84. http://dx.doi.org/10.4028/www.scientific.net/kem.385-387.81.

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Анотація:

This paper deals with the transition from a localized damage state to crack formation. Several attempts have already been made in this field. Our approach is in the continuity of studies where thermodynamic considerations lead to the definition of an equivalent crack concept. The main idea consists in replacing a damaged localized zone by a crack in order to recover the same amount of dissipated energy. On the one hand, a nonlocal model is used to modelize accurately localized damage. On the other hand, an elastic model which authorizes the formation of a crack described by a cohesive zone model is used. This cohesive zone model is defined thermodynamically in order to be in concordance with the damage model. The method allows obtaining the cohesive zone model traction curve from the knowledge of the nonlocal damage model solution. The numerical implementation is done using a Lagrangian multiplier that ensures the energetic equivalence between both models.

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13

Neuner, M., P. Gamnitzer, and G. Hofstetter. "A 3D gradient-enhanced micropolar damage-plasticity approach for modeling quasi-brittle failure of cohesive-frictional materials." Computers & Structures 239 (October 2020): 106332. http://dx.doi.org/10.1016/j.compstruc.2020.106332.

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14

Wang, G., and S. F. Li. "A penny-shaped cohesive crack model for material damage." Theoretical and Applied Fracture Mechanics 42, no. 3 (December 2004): 303–16. http://dx.doi.org/10.1016/j.tafmec.2004.09.005.

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15

Zhang, Ch, and D. Gross. "Ductile crack analysis by a cohesive damage zone model." Engineering Fracture Mechanics 47, no. 2 (January 1994): 237–48. http://dx.doi.org/10.1016/0013-7944(94)90225-9.

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16

Lorentz, Eric, S. Cuvilliez, and K. Kazymyrenko. "Convergence of a gradient damage model toward a cohesive zone model." Comptes Rendus Mécanique 339, no. 1 (January 2011): 20–26. http://dx.doi.org/10.1016/j.crme.2010.10.010.

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17

Johar, Mahzan, Mohamad Shahrul Effendy Kosnan, and Mohd Nasir Tamin. "Cyclic Cohesive Zone Model for Simulation of Fatigue Failure Process in Adhesive Joints." Applied Mechanics and Materials 606 (August 2014): 217–21. http://dx.doi.org/10.4028/www.scientific.net/amm.606.217.

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Анотація:

Progressive failure process of adhesive joint under cyclic loading is of particular interest in this study. Such fatigue failure is described using damage mechanics with the assumed cohesive behaviour of the adhesive joint. Available cohesive zone model for monotonic loading is re-examined for extension to capture cyclic damage process of adhesive joints. Damage evolution in the adhesive joint is expressed in terms of cyclic degradation of interface strength and stiffness. Mixed-mode fatigue fracture of the joint is formulated based on relative displacements and strain energy release rate of the interface. A power-law type variation for each of these cohesive zone model parameters with accumulated load cycles is assumed in the presence of limited experimental data on cyclic interface fracture process. The cyclic cohesive zone model (CCZM) is implemented in commercial finite element analysis code and the model is validated using adhesively bonded 2024-T3 aluminium substrates with epoxy-based adhesive film (FM73M OST). The CCZM model is then examined for cyclic damage evolution characteristics of the adhesive lap joint subjected to cyclic displacement of Δδ = 0.1 mm, R=0 so as to induce shear-dominant fatigue failure. Results show that the cyclic interface damage started to initiate and propagate symmetrically from the both overlap edges and degradation of interface strength and stiffness started to accumulate after 0.5 cycles of displacement elapsed. The predicted results are consistent with the mechanics of relatively brittle interface failure process.

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18

Zhang, Jun, Yong Cheng Lin, Xin Li Wei, and Liu Gang Huang. "Investigation on Interfacial Bonding Strength of Anisotropic Conducive Adhesive with a New Cohesive Zone Model." Materials Science Forum 654-656 (June 2010): 1928–31. http://dx.doi.org/10.4028/www.scientific.net/msf.654-656.1928.

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Анотація:

A modified cohesive zone interface model with a damage factor was proposed to describe the effects of the thermal cycle and humidity aging on the strengths of adhesive joints. The damage factor can not only change the cohesive zone bonding strength but also affect the energies of separation. The modified cohesive zone interfacial model, as a user subroutine, is developed and implemented in ABAQUS to simulate the 90° peeling process of the specimens, which were bonded by anisotropic conducive adhesive film (ACF) and subjected to the cycle and humidity aging tests. The numerical simulated results well agree with experimental results, which confirmed the validity of the new model.

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19

Fager, Leif-Olof, and J. L. Bassani. "Stable Crack Growth in Rate-Dependent Materials With Damage." Journal of Engineering Materials and Technology 115, no. 3 (July 1, 1993): 252–61. http://dx.doi.org/10.1115/1.2904215.

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Анотація:

A cohesive zone model of the Dugdale-Barenblatt type is used to investigate crack growth under small-scale-creep/damage conditions. The material inside the cohesive zone is described by a power-law viscous overstress relation modified by a one-parameter damage function of the Kachanov type. The stress and displacement profiles in the cohesive zone and the velocity dependence of the fracture toughness are investigated. It is seen that the fracture toughness increases rapidly with the velocity and asymptotically approaches the case that neglects damage.

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20

Tu, H. Y., Ulrich Weber, and Siegfried Schmauder. "Numerical Investigation of the Damage Behavior of S355 EBW by Cohesive Zone Modeling." Advanced Materials Research 1102 (May 2015): 149–53. http://dx.doi.org/10.4028/www.scientific.net/amr.1102.149.

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Анотація:

In this paper, the cohesive zone model is used to study the fracture behavior of an electron beam welded (EBW) steel joint. Mechanical properties of different weld regions are derived from the tensile test results of flat specimens, which are obtained from the respective weld regions. Based on the tensile test of notched round specimens, the cohesive strength T0can be fixed. With the fixed T0value, the cohesive model is applied to compact tension (C(T)) specimens with the initial crack located at different positions of weldment with different cohesive energy values Γ0. Numerical simulations are compared with the experimental results in the form of force vs. Crack Opening Displacement (COD) curves as well as fracture resistance (JR) curves.

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21

Li, X., and J. Chen. "An extended cohesive damage model for simulating arbitrary damage propagation in engineering materials." Computer Methods in Applied Mechanics and Engineering 315 (March 2017): 744–59. http://dx.doi.org/10.1016/j.cma.2016.11.029.

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22

Di Caprio, F., S. Saputo, and A. Sellitto. "Numerical-Experimental Correlation of Interlaminar Damage Growth in Composite Structures: Setting Cohesive Zone Model Parameters." Advances in Materials Science and Engineering 2019 (October 13, 2019): 1–16. http://dx.doi.org/10.1155/2019/2150921.

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Анотація:

Composite laminates are characterized by high mechanical in-plane properties while experiencing, on the contrary, a poor out-of-plane response. The composite laminates, indeed, are often highly vulnerable to interlaminar damages, also called “delaminations.” One of the main techniques used for the numerical prediction of interlaminar damage onset and growth is the cohesive zone model (CZM). However, this approach is characterised by uncertainties in the definition of the parameters needed for the implementation of the cohesive behaviour in the numerical software. To overcome this issue, in the present paper, a numerical-experimental procedure for the calibration of material parameters governing the mechanical behaviour of CZM based on cohesive surface and cohesive element approaches is presented. Indeed, by comparing the results obtained from the double cantilever beam (DCB) and end-notched flexure (ENF) experimental tests with the corresponding numerical results, it has been possible to accurately calibrate the parameters of the numerical models needed to simulate the delamination growth phenomenon at coupon level.

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23

Omiya, Masaki, and Kikuo Kishimoto. "Damage-based Cohesive Zone Model for Rate-depend Interfacial Fracture." International Journal of Damage Mechanics 19, no. 4 (April 23, 2009): 397–420. http://dx.doi.org/10.1177/1056789509103643.

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24

Shintaku, Yuichi, Mayu Muramatsu, Seiichiro Tsutsumi, Kenjiro Terada, Takashi Kyoya, Junji Kato, Shuji Moriguchi, and Shinsuke Takase. "A damage-based cohesive zone model for plastic deformation behavior." Proceedings of The Computational Mechanics Conference 2014.27 (2014): 495–96. http://dx.doi.org/10.1299/jsmecmd.2014.27.495.

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25

Zhang, Ch, and D. Gross. "A cohesive plastic/damage-zone model for ductile crack analysis." Nuclear Engineering and Design 158, no. 2-3 (September 1995): 319–31. http://dx.doi.org/10.1016/0029-5493(95)01039-k.

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26

Alfano, Giulio, and Elio Sacco. "Combining interface damage and friction in a cohesive-zone model." International Journal for Numerical Methods in Engineering 68, no. 5 (2006): 542–82. http://dx.doi.org/10.1002/nme.1728.

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27

Zhu, He, Gang Wang, Zhen Yue Ma, and Yi Kang Su. "Seismic Time-History Analysis of Gravity Dam Based on Nonlinear Finite Element Method." Applied Mechanics and Materials 351-352 (August 2013): 1047–51. http://dx.doi.org/10.4028/www.scientific.net/amm.351-352.1047.

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Анотація:

A cohesive model (CM) was introduced in this paper. The constitutive response of cohesive behavior depends on a traction-separation description characterized by the initial stiffness, damage initiation threshold, and damage evolution properties.Through the aseismic analysis of a gravity dam, the displacement, stress and anti-sliding safety factor were discussed in the paper, the results were also compared between elastic model (EM) and plastic model (PM). The results shown that the displacement amplitude computed by PM and CM was nearly twice larger than that by EM, and the area of stress concentration became not so obvious. The cohesive model could efficiently simulate the discontinuous structure and the responses of seismic computed by PM and CM were more correspond to actual situation.

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28

Falkenberg, Rainer, Wolfgang Brocks, Wolfgang Dietzel, and Ingo Schneider. "Simulation of Stress-Corrosion Cracking by the Cohesive Model." Key Engineering Materials 417-418 (October 2009): 329–32. http://dx.doi.org/10.4028/www.scientific.net/kem.417-418.329.

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The effect of hydrogen on the mechanical behaviour is twofold: It affects the local yield stress and it accelerates material damage. On the other hand, the diffusion behaviour is influenced by the hydrostatic stress, the plastic deformation and the strain rate. This requires a coupled model of deformation, damage and diffusion. The deformation behaviour is described by von Mises plasticity with pure isotropic hardening, and crack extension is simulated by a cohesive zone model. The local hydrogen concentration, which is obtained from the diffusion analysis, causes a reduction of the cohesive strength. Crack extension in a C(T) specimen of a ferritic steel under hydrogen charging is simulated by fully coupled diffusion and mechanical finite element analyses with ABAQUS and the results are compared with test results.

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29

Wu, Yan Qing, and Hui Ji Shi. "Cohesive Zone Model for Crack Propagation in a Viscoplastic Polycrystal Material at Elevated Temperature." Key Engineering Materials 306-308 (March 2006): 187–92. http://dx.doi.org/10.4028/www.scientific.net/kem.306-308.187.

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Анотація:

This study looks at the crack propagation characteristics based on the cohesive zone model (CZM), which is implemented as a user defined element within FE system ABAQUS. A planar crystal model is applied to the polycrystalline material at elevated temperature in which grain boundary regions are included. From the point of energy, interactions between the cohesive fracture process zones and matrix material are studied. It’s shown that the material parameter such as strain rate sensitivity of grain interior and grain boundary strongly influences the plastic and cohesive energy dissipation mechanisms. The higher the strain rate sensitivity is, the larger amount of the external work will be transformed into plastic dissipation energy than into cohesive energy which could delay the rupturing of cohesive zone. By comparisons, when strain rate sensitivity decreases, plastic dissipation energy is reduced and the cohesive dissipation energy increases. In this case, the cohesive zones fracture more quickly. In addition to the matrix material parameter, influence of cohesive strength and critical displacement in CZM on stress triaxiality at grain interior and grain boundary regions are also investigated. It’s shown that enhancing cohesive zones ductility could improve matrix materials resistance to void damage.

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30

Vu, Hoa Cong. "COMPUTATION FOR THE DELAMINATION IN THE LAMINATE COMPOSITE MATERIAL USING A COHESIVE ZONE MODEL BY ABAQUS." Vietnam Journal of Science and Technology 57, no. 6A (March 20, 2020): 61. http://dx.doi.org/10.15625/2525-2518/57/4a/14094.

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Анотація:

In this paper, a damage model using cohesive damage zone for the simulation of progressive delamination under variable mode is presented. The constitutive relations, based on liner softening law, are using for formulation of the delamination onset and propagation. The implementation of the cohesive elements is described, along with instructions on how to incorporate the elements into a finite element mesh. The model is implemented in a finite element formulation in ABAQUS. The numerical results given by the model are compare with experimental data

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31

Vu, Hoa Cong. "COMPUTATION FOR THE DELAMINATION IN THE LAMINATE COMPOSITE MATERIAL USING A COHESIVE ZONE MODEL BY ABAQUS." Vietnam Journal of Science and Technology 57, no. 6A (March 25, 2020): 61. http://dx.doi.org/10.15625/2525-2518/57/6a/14094.

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Анотація:

In this paper, a damage model using cohesive damage zone for the simulation of progressive delamination under variable mode is presented. The constitutive relations, based on liner softening law, are using for formulation of the delamination onset and propagation. The implementation of the cohesive elements is described, along with instructions on how to incorporate the elements into a finite element mesh. The model is implemented in a finite element formulation in ABAQUS. The numerical results given by the model are compare with experimental data

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32

Zhang, Jun, Zhong Yao Zhao, and Xin Li Wei. "A Damage Cohesive Model for Simulating 90° Peel Propagation in Anisotropic Conducive Adhesive Bonding." Advanced Materials Research 139-141 (October 2010): 374–77. http://dx.doi.org/10.4028/www.scientific.net/amr.139-141.374.

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Анотація:

A modified cohesive zone interface model that has a damage factor couple with the thermal cycle and humidity aging was proposed. The damage factor not only can change the cohesive zone strength acting but also can effect on the energies of separation. The modified cohesive zone interfacial model is developed and implemented in ABAQUS, as a user element subroutine, to simulate the peeling process for the specimen bonding by anisotropic conducive adhesive film (ACF) under the thermal cycle and humidity tests. Finite element explicit code and the constitutive relation of this element has been defined by the user-defined mechanical material behaviour (VUMAT). The bulk material element selected is a 4-node bilinear plane stress quadrilateral element, and the reduced integration and hourglass control are also adopted. The numerical simulated results accorded well to the experiments to illustrate the validity of the new model.

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33

Geraci, G., and M. H. Ferri Aliabadi. "Micromechanical Boundary Element Modelling of Transgranular and Intergranular Cohesive Cracking in Polycrystalline Materials." Key Engineering Materials 713 (September 2016): 54–57. http://dx.doi.org/10.4028/www.scientific.net/kem.713.54.

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Анотація:

In this paper a cohesive formulation is proposed for modelling intergranular and transgranular damage and microcracking evolution in brittle polycrystalline materials. The model uses a multi region boundary element approach combined with a dual boundary element formulation. Polycrystalline microstructures are created through a Voronoi tessellation algorithm. Each crystal has an elastic orthotropic behaviour and specific material orientation. Transgranular surfaces are inserted as the simulation evolves and only in those grains that experience stress levels high enough for the nucleation of a new potential crack. Damage evolution along (inter-or trans-granular) interfaces is then modelled using cohesive traction separation laws and, upon failure, frictional contact analysis is introduced to model separation, stick or slip. Moreover some physical consideration based on cohesive energies were made, in order to guarantee the cohesive model in consideration was appropriate for the purpose of this work. Finally numerical simulations have been performed to demonstrate the validity of the proposed formulation in comparison with experimental observations and literature results.

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34

Li, Bo, and Michelle S. Hoo Fatt. "A Cohesive Zone Model to Predict Dynamic Tearing of Rubber." Tire Science and Technology 43, no. 4 (October 1, 2015): 297–324. http://dx.doi.org/10.2346/tire.15.430403.

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ABSTRACT Tire failures, such as tread separation and sidewall zipper fracture, occur when internal flaws (cracks) nucleate and grow to a critical size as result of fatigue or cyclic loading. Sudden and catastrophic rupture takes place at this critical crack size because the strain energy release rate exceeds the tear energy of the rubber in the tire. The above-mentioned tire failures can lead to loss of vehicle stability and control, and it is important to develop predictive models and computational tools that address this problem. The objective of this article was to develop a cohesive zone model for rubber to numerically predict crack growth in a rubber component under dynamic tearing. The cohesive zone model for rubber was embedded into the material constitutive equation via a user-defined material subroutine (VUMAT) of ABAQUS. It consisted of three parts: (1) hyperviscoelastic behavior before damage, (2) damage initiation based on the critical strain energy density, and (3) hyperviscoelastic behavior after damage initiation. Crack growth in the tensile strip and pure shear specimens was simulated in ABAQUS Explicit, and good agreement was reported between finite element analysis predictions and test results.

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35

Zhao, Shi Yang, and Pu Xue. "Prediction of Impact Damage of Composite Laminates Using a Mixed Damage Model." Applied Mechanics and Materials 513-517 (February 2014): 235–37. http://dx.doi.org/10.4028/www.scientific.net/amm.513-517.235.

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In order to effectively describe the damage process of composite laminates and reduce the complexity of material model, a mixed damage model based on Linde Criteria and Hashin Criteria is proposed for prediction of impact damage in the study. The mixed damage model can predict baisc failure modes, including fiber fracture, matrix tensile damage, matrix compressive damage. Fiber damage and matrix damage in compression are described based on the progressive damage mechanics; and matrix damage in tension is described based on Continuous Damage Mechanics (CDM). Meanwhile, for interlaminar delamination, damage is described by cohesive model. A finite element model is established to analyze the damage process of composite laminate. A good agreement is got between damage predictions and experimental results.

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36

Lequesne, Cedric, A. Plumier, H. Degee, and Anne Marie Habraken. "Numerical Study of the Fatigue Crack in Welded Beam-To-Column Connection Using Cohesive Zone Model." Key Engineering Materials 324-325 (November 2006): 847–50. http://dx.doi.org/10.4028/www.scientific.net/kem.324-325.847.

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The fatigue behaviour of the welded beam-to-column connections of steel moment resisting frame in seismic area must be evaluated. The cohesive zone model is an efficient solution to study such connections by finite elements. It respects the energetic conservation and avoids numerical issues. A three-dimensional cohesive zone model element has been implemented in the home made finite element code Lagamine [1]. It is coupled with the fatigue continuum damage model of Lemaître and Chaboche [2]. The cohesive parameters are identified by the inverse method applied on a three points bending test modelling.

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37

Ronghui, Wang, Li Shuhu, Liu Yan, Gao Yingying, Zhang Haiyun, Jia Huamin, and Guo Jianfen. "Research onthedelamination damage algorithm offiber reinforced composites." Journal of Physics: Conference Series 2478, no. 2 (June 1, 2023): 022016. http://dx.doi.org/10.1088/1742-6596/2478/2/022016.

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Abstract Aiming at the typical delamination damage mode of fiber-reinforced composites, the constitutive model and failure criterion of composites that commonly used in dynamic simulation are studied, and the principles and characteristics of cohesive element and tiebreak contact algorithm are analyzed.Then the simulation calculation of two fiber-reinforced composite targets anti penetration is take as an example,The accuracy of the cohesive element and the tiebreak contact algorithm are verified respectively, and the protection mechanism of fiber-reinforced composites in the process of anti penetration is revealed, which provides an important reference for the development and design of new composite protection structures and equipment.

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38

Freddi, Francesco, Elio Sacco, and Roberto Serpieri. "An enriched damage-frictional cohesive-zone model incorporating stress multi-axiality." Meccanica 53, no. 3 (October 23, 2017): 573–92. http://dx.doi.org/10.1007/s11012-017-0777-z.

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39

Gong, Baoming, Marco Paggi, and Alberto Carpinteri. "A cohesive crack model coupled with damage for interface fatigue problems." International Journal of Fracture 173, no. 2 (January 20, 2012): 91–104. http://dx.doi.org/10.1007/s10704-011-9666-y.

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40

Lorentz, Eric. "A nonlocal damage model for plain concrete consistent with cohesive fracture." International Journal of Fracture 207, no. 2 (June 28, 2017): 123–59. http://dx.doi.org/10.1007/s10704-017-0225-z.

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41

Chazallon, C., and P. Y. Hicher. "A constitutive model coupling elastoplasticity and damage for cohesive-frictional materials." Mechanics of Cohesive-frictional Materials 3, no. 1 (January 1998): 41–63. http://dx.doi.org/10.1002/(sici)1099-1484(199801)3:1<41::aid-cfm40>3.0.co;2-p.

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42

Li, Gao Chun, Yu Feng Wang, Ai Min Jiang, and Xiang Yi Liu. "A Micromechanical Model for Debonding Process in Composite Solid Propellants." Applied Mechanics and Materials 148-149 (December 2011): 1107–12. http://dx.doi.org/10.4028/www.scientific.net/amm.148-149.1107.

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The random distribution packing models of particles in the binder of solid propellant were generated based on the Molecular Dynamics method. The generated packing models were then analyzed by finite element method combined with the analytical method. A cohesive interface model was incorporated to capture the debonding process taking place along particles binder interface. The results show that the FEM analyses with cohesive interface can predict the complex heterogeneous stress and strain fields and the progress of debonding of particles from binder. Particles interaction significantly influences the interfacial damage evolution of propellant.

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43

Kozák, Vladislav, Ivo Dlouhý, and Zdeněk Chlup. "Cohesive Zone Model and GTN Model Collation for Ductile Crack Growth." Materials Science Forum 567-568 (December 2007): 145–48. http://dx.doi.org/10.4028/www.scientific.net/msf.567-568.145.

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The micromechanical modelling encounters a problem that is different from basic assumptions of continuum mechanics. The material is not uniform on the microscale level and the material within an element has its own complex microstructure. Therefore the concept of a representative volume element (RVE) has been introduced. The general advantage, compared to conventional fracture mechanics, is that, in principle, the parameters of the respective models depend only on the material and not on the geometry. These concepts guarantee transferability from specimen to components over a wide range of dimensions and geometries. The prediction of crack propagation through interface elements based on the fracture mechanics approach (damage) and cohesive zone model is presented. The cohesive model for crack propagation analysis is incorporated into finite element package by interface elements which separations are controlled by the traction-separation law.

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44

Nordmann, Joachim, Konstantin Naumenko, and Holm Altenbach. "A Damage Mechanics Based Cohesive Zone Model with Damage Gradient Extension for Creep-Fatigue-Interaction." Key Engineering Materials 794 (February 2019): 253–59. http://dx.doi.org/10.4028/www.scientific.net/kem.794.253.

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In this paper a novel Cohesive Zone Model (CZM) is derived within the framework of continuum thermodynamics to describe cracking and delamination behaviour of coatings at high-temperatures. The separation variable in the Traction-Separation-Law (TSL) is decomposed into elastic and inelastic part. For evolution of inelastic separation, a power-law in combination with a damage evolution law is used to consider the tertiary stage of inelastic separation of the interface, additionally. Thereby, damage evolution is related to the corresponding thermodynamic driving force and the inelastic opening rate. For reasons of simplicity the resulting thermo-mechanical problem only considers heat conduction through the interface. Due to the fact that standard Newton-Raphson procedure gets unstable (e.g. snap-back) when softening occurs which is the case by using a CZM, this model is enhanced with the damage gradient, similar to approaches in phase field modelling. Further on, this extension is done to investigate if it is possible to overcome the size dependence of CZMs. Finally, the model is reduced to pure Mode I opening and an example for a Double Cantilever Beam (DCB) is analysed by the finite difference method.

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45

LI, SHANHU, and SOMNATH GHOSH. "DEBONDING IN COMPOSITE MICROSTRUCTURES WITH MORPHOLOGICAL VARIATIONS." International Journal of Computational Methods 01, no. 01 (June 2004): 121–49. http://dx.doi.org/10.1142/s0219876204000034.

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This paper describes the development of the Voronoi cell finite element model (VCFEM) with interfacial decohesion for simulating debonding induced microstructural damage in fiber reinforced composites. Normal and tangential cohesive zone models at the matrix-fiber interface are used to describe the onset and growth of damage along the inclusion-matrix interface. It is shown that the initiation and especially the propagation of debonding depends not only on the total cohesive energy, but also on the shape of the traction-displacement curve. The model is used to study the influence of various local morphological parameters on damage evolution by interfacial debonding. A special function of various geometric parameters is developed to predict the location of debonding in microstructures with varying morphology. Various numerical examples are solved to establish the effectiveness of the model.

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46

Zhang, Jun, Xu Chen, and Xin Li Wei. "Numerical Calculation of Peeling Strength in Anisotropic Conducive Adhesive Bonding." Key Engineering Materials 324-325 (November 2006): 471–74. http://dx.doi.org/10.4028/www.scientific.net/kem.324-325.471.

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The cohesive zone interface model was used to calculate 90o peel in the ACF bonding samples. The constitutive equation for the interface model was modified by introduction a damage factor χ . The thermal damage factor and humidity damage factor can be derived from the experiment data. The interfacial model with damage factor can change the maximal peel stress and the delamination length. The calculation result of the interfacial model with damage factor agreed well to the experiment of the 90o peeling.

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47

Wei, Xin-Dong, Nhu H. T. Nguyen, Ha H. Bui, and Gao-Feng Zhao. "A modified cohesive damage-plasticity model for distinct lattice spring model on rock fracturing." Computers and Geotechnics 135 (July 2021): 104152. http://dx.doi.org/10.1016/j.compgeo.2021.104152.

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48

Pirondi, Alessandro, and Fabrizio Moroni. "Improvement of a Cohesive Zone Model for Fatigue Delamination Rate Simulation." Materials 12, no. 1 (January 7, 2019): 181. http://dx.doi.org/10.3390/ma12010181.

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The cohesive zone model (CZM) has found wide acceptance as a tool for the simulation of delamination in composites and debonding in bonded joints and various implementations of the cohesive zone model dedicated to fatigue problems have been proposed in the past decade. In previous works, the authors have developed a model based on cohesive zone to simulate the propagation of fatigue defects where damage acts on cohesive stiffness, with an initial (undamaged) stiffness representative of that of the entire thickness of an adhesive layer. In the case of a stiffness that is order of magnitude higher than the previous one (for instance, in the simulation of the ply-to-ply interface in composites), the model prediction becomes inaccurate. In this work, a new formulation of the model that overcomes this limitation is developed. Finite element simulations have been conducted on a mode I, constant bending (constant G)-loaded double cantilever beam (DCB) joint to assess the response of the new model with respect to the original one for varying initial stiffness K0 and cohesive strength σ0. The results showed that the modified model is robust with respect to changes of two orders of magnitude in initial stiffness and of a factor of two in σ0.

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49

Kim, Yong-Rak, David H. Allen, and Gary D. Seidel. "Damage-Induced Modeling of Elastic-Viscoelastic Randomly Oriented Particulate Composites." Journal of Engineering Materials and Technology 128, no. 1 (May 4, 2005): 18–27. http://dx.doi.org/10.1115/1.2127960.

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This paper presents a model for predicting the damage-induced mechanical response of particle-reinforced composites. The modeling includes the effects of matrix viscoelasticity and fracture, both within the matrix and along the boundaries between matrix and rigid particles. Because of these inhomogeneities, the analysis is performed using the finite element method. Interface fracture is predicted by using a nonlinear viscoelastic cohesive zone model. Rate-dependent viscoelastic behavior of the matrix material and cohesive zone is incorporated by utilizing a numerical time-incrementalized algorithm. The proposed modeling approach can be successfully employed for numerous types of solid media that exhibit matrix viscoelasticity and complex damage evolution characteristics within the matrix as well as along the matrix-particle boundaries. Computational results are given for various asphalt concrete mixtures. Simulation results demonstrate that each model parameter and design variable significantly influences the mechanical behavior of the mixture.

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50

Kim, Yong-Rak, Francisco T. S. Aragão, David H. Allen, and Dallas N. Little. "Damage modeling of bituminous mixtures considering mixture microstructure, viscoelasticity, and cohesive zone fracture." Canadian Journal of Civil Engineering 37, no. 8 (August 2010): 1125–36. http://dx.doi.org/10.1139/l10-043.

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This paper describes the development and application of a computational modeling approach incorporated with pertinent laboratory testing that can be used to predict fracture damage performance of bituminous paving mixtures. In the model, material viscoelasticity, mixture microstructure, and cohesive zone fracture properties are implemented within a finite element method, which is intended to simulate nonlinear-inelastic microscale fracture and its propagation to complete failure in bituminous mixtures. The model is applied to different materials, and the resulting model simulations are compared to experimental results for model validation. With some limitations and technical issues to be overcome in the future, the model presented herein clearly demonstrates several advancements based on its features accounting for material viscoelasticity, heterogeneity, and cohesive zone fracture. Potentially, the model can provide significant savings in time and costs and can also be used to improve currently available design analysis tools.

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