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Journal articles on the topic 'Cohesive zone law'

Author: Grafiati

Published: 4 June 2021

Last updated: 6 February 2022

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1

Yuan, Huang, Guoyu Lin, and Alfred Cornec. "Verification of a Cohesive Zone Model for Ductile Fracture." Journal of Engineering Materials and Technology 118, no. 2 (April 1, 1996): 192–200. http://dx.doi.org/10.1115/1.2804886.

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In the present paper, ductile crack growth in an aluminium alloy is numerically simulated using a cohesive zone model under both plane stress and plane strain conditions for two different fracture types, shear and normal modes. The cohesive law for ductile fracture consists of two parts—a specific material’s separation traction and energy. Both are assumed to be constant during ductile fracture (stable crack growth). In order to verify the assumed cohesive law to be suitable for ductile fracture processes, experimental records are used as control curves for the numerical simulations. For a constant separation traction, determined experimentally from tension test data, the corresponding cohesive energy was determined by finite element calculations. It is confirmed that the cohesive zone model can be used to characterize a single ductile fracture mode and is roughly independent of stable crack extention. Both the cohesive traction and the cohesive fracture energy should be material specific parameters. The extension of the cohesive zone is restricted to a very small region near the crack tip and is in the order of the physical fracture process. Based on the present observations, the cohesive zone model is a promising criterion to characterize ductile fracture.

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2

Kim, Kyungmok. "Creep–rupture model of aluminum alloys: Cohesive zone approach." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 229, no. 8 (July 10, 2014): 1343–47. http://dx.doi.org/10.1177/0954406214543413.

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In this article, a creep–rupture model of aluminum alloys is developed using a time-dependent cohesive zone law. For long-term creep rupture, a time jump strategy is used in a cohesive zone law. Stress–rupture scatter of aluminum alloy 4032-T6 is fitted with a power law form. Then, change in the slope of a stress-rupture line is identified on a log–log scale. Implicit finite element analysis is employed with a model containing a cohesive zone. Stress–rupture curves at various given temperatures are calculated and compared with experimental ones. Results show that a proposed method allows predicting creep–rupture life of aluminum alloys.

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3

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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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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4

Shintaku, Yuichi, Kenjiro Terada, and Seiichiro Tsutsumi. "Anisotropic Damage Constitutive Law for Cleavage Failure in Crystalline Grain by Cohesive Zone Model." QUARTERLY JOURNAL OF THE JAPAN WELDING SOCIETY 35, no. 2 (2017): 165s—168s. http://dx.doi.org/10.2207/qjjws.35.165s.

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5

Pandya, K. C., and J. G. Williams. "Cohesive zone modelling of crack growth in polymers Part 1 –Experimental measurement of cohesive law." Plastics, Rubber and Composites 29, no. 9 (September 2000): 439–46. http://dx.doi.org/10.1179/146580100101541274.

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6

Yuan, Huang, and Xiao Li. "Effects of the cohesive law on ductile crack propagation simulation by using cohesive zone models." Engineering Fracture Mechanics 126 (August 2014): 1–11. http://dx.doi.org/10.1016/j.engfracmech.2014.04.019.

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7

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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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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8

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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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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9

Scheel, Johannes, Alexander Schlosser, and Andreas Ricoeur. "The J-integral for mixed-mode loaded cracks with cohesive zones." International Journal of Fracture 227, no. 1 (November 23, 2020): 79–94. http://dx.doi.org/10.1007/s10704-020-00496-6.

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AbstractThe J-integral quantifies the loading of a crack tip, just as the crack tip opening displacement (CTOD) emanating from the cohesive zone model. Both quantities, being based on fundamentally different interpretations of cracks in fracture mechanics of brittle or ductile materials, have been proven to be equivalent in the late 60s of the previous century, however, just for the simple mode-I loading case. The relation of J and CTOD turned out to be uniquely determined by the constitutive law of the cohesive zone in front of the physical crack tip. In this paper, a J-integral vector is derived for a mixed-mode loaded crack based on the cohesive zone approach, accounting for the most general case of a mode-coupled cohesive law. While the$$J_1$$J1-coordinate, as energy release rate of a straight crack extension, is uniquely related to the cohesive potential at the physical crack tip and thus to the CTOD, the$$J_2$$J2-coordinate depends on the solution of the specific boundary value problem in terms of stresses and displacement gradients at the cohesive zone faces. The generalized relation is verified for the Griffith crack, employing solutions of the Dugdale crack based on improved holomorphic functions.

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10

Huang, Xiao Hui, Wen Guang Liu, Guo Qun Zhao, and Xin Hai Zhao. "An Investigation into the Fracture Mechanical Behavior of Bone Cement: Simulation Using Cohesive Zone Models (CZMs)." Advanced Materials Research 156-157 (October 2010): 1658–64. http://dx.doi.org/10.4028/www.scientific.net/amr.156-157.1658.

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In this investigation, we propose a new concept to embed cohesive zone into the continuum structure of bone cement, an example of brittle material, in investigating the mechanical behavior and fracture mechanism and to predict the fracture which elastic fracture mechanics (EFM) is unable to. Four finite element (FE) models with embedded cohesive zones for the simulations of tensile, compression, double shear and 3-point bending tests have been implemented. Cohesive zones (CZ) are embedded at high risks of fracture with orientations determined by fracture mode. A bilinear cohesive traction-separation law (TSL) is applied. The fracture parameters in traction-separation curve are validated and justified in the simulations to agree well with the force-displacement curves in the four practical tests. Apart from the maximum load, the perpetual safe working load (SWL) in theory also can be predicted by tracing the history of the stiffness degradation of fractured cohesive zone by means of simulation. A distinct advantage of our numerical model is that it is able to extend to investigate the mechanical behavior and fracture mechanism of other brittle materials. The proposed method with embedded cohesive zones in FE models can be introduced to predict the fracture and to forecast the maximum load and safe working load (SWL) of the continuum structure in more complicated loading conditions.

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11

Kim, Kyungmok. "High-cycle fatigue simulation for aluminium alloy using cohesive zone law." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 227, no. 4 (July 24, 2012): 683–92. http://dx.doi.org/10.1177/0954406212454626.

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This article describes high-cycle fatigue simulation for 7050-T7451 aluminium alloy using cohesive zone law. A three-dimensional finite element model is developed for fatigue behaviour of aluminium alloy subjected to cyclic bending. A bilinear, cycle-dependent cohesive zone law is implemented with a help of experimental S-N (stress amplitude–number of cycles to failure) data. In the finite element model, a cycle jump strategy is used including stiffness degradation and reduction of fracture energy during cyclic loadings. Additionally, bending experiments are conducted with unnotched specimens and S-N curves are determined. Direct comparison of S-N curves between the simulation and the experiment is performed on bilogarithmic scale. Results show that the proposed method provides a good means of simulating high-cycle fatigue behaviour of aluminium alloys.

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12

Kim, Kyungmok, and Myung-Jin Yoon. "Fretting fatigue simulation for aluminium alloy using cohesive zone law approach." International Journal of Mechanical Sciences 85 (August 2014): 30–37. http://dx.doi.org/10.1016/j.ijmecsci.2014.05.001.

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13

Tsouvalis, N. G., and K. N. Anyfantis. "Numerical Prediction of the Response of Metal-to-Metal Adhesive Joints with Ductile Adhesives." Applied Mechanics and Materials 24-25 (June 2010): 189–94. http://dx.doi.org/10.4028/www.scientific.net/amm.24-25.189.

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The present work involves a numerical modelling of the Embedded Process Zone (EPZ) by utilizing the elastoplastic Mode I and Mode II fracture models for the simulation of plastically deforming adhesive joints. A traction-separation law was developed separately for Mode I and Mode II. For the analysis of the mixed-mode fracture processes, the cohesive zones in Mode I and Mode II fracture were assumed uncoupled. The experimental programme involved the fabrication and testing of Double Strap Joints (DSJs) and Single Lap Joints (SLJs). By fitting the numerical results to the experimental ones, the basic cohesive parameters of the problem were defined.

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14

Campilho, R. D. S. G., M. D. Banea, J. A. B. P. Neto, and L. F. M. da Silva. "Modelling adhesive joints with cohesive zone models: effect of the cohesive law shape of the adhesive layer." International Journal of Adhesion and Adhesives 44 (July 2013): 48–56. http://dx.doi.org/10.1016/j.ijadhadh.2013.02.006.

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15

Kim, Kyungmok, Jaewook Lee, and Joo-Ho Choi. "Development of a Fatigue Model for Low Alloy Steels Using a Cycle-Dependent Cohesive Zone Law." Advances in Mechanical Engineering 6 (January 1, 2014): 124037. http://dx.doi.org/10.1155/2014/124037.

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A fatigue model for SAE 4130 steels is developed using a cycle-dependent cohesive zone law. Reduction of fracture energy and degradation of stiffness are considered to describe failure resistance after certain number of cycles. The reduction rate of fracture energy is determined with experimental stress ( S)- number of cycles to failure ( N) scatter found in the literature. Three-dimensional finite element models containing a cohesive zone are generated with commercial software (ABAQUS). Calculated fatigue lives at different stress ratios are in good agreement with experimental ones. In addition, fatigue behavior of hardened SAE 4130 steels is predicted with that of normalized material.

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16

Elapolu, Mohan S. R., and Alireza Tabarraei. "Atomistic Simulation-Based Cohesive Zone Law of Hydrogenated Grain Boundaries of Graphene." Journal of Physical Chemistry C 124, no. 31 (July 10, 2020): 17308–19. http://dx.doi.org/10.1021/acs.jpcc.0c04122.

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17

Takahashi, Akiyuki, Takaki Fujiwara, and Yuichi Shintaku. "A Paris Law-Based Cohesive Zone Model for Fatigue Crack Growth Simulations." International Conference on Computational & Experimental Engineering and Sciences 22, no. 4 (2019): 170. http://dx.doi.org/10.32604/icces.2019.05151.

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18

Dandekar, Chinmaya R., and Yung C. Shin. "Molecular dynamics based cohesive zone law for describing Al–SiC interface mechanics." Composites Part A: Applied Science and Manufacturing 42, no. 4 (April 2011): 355–63. http://dx.doi.org/10.1016/j.compositesa.2010.12.005.

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19

Majano-Majano, Almudena, Antonio Lara-Bocanegra, José Xavier, and José Morais. "Measuring the Cohesive Law in Mode I Loading of Eucalyptus globulus." Materials 12, no. 1 (December 21, 2018): 23. http://dx.doi.org/10.3390/ma12010023.

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Assessing wood fracture behavior is essential in the design of structural timber elements and connections. This is particularly the case for connections with the possibility of brittle splitting failure. The numerical cohesive zone models that are used to simulate the fracture behavior of wood make it necessary to assume a cohesive law of the material that relates cohesive tractions and crack opening displacements ahead of the crack tip. This work addresses the determination of the fracture cohesive laws of Eucalyptus globulus, a hardwood species with great potential in timber engineering. This study centres on Mode I fracture loading for RL and TL crack propagation systems using Double Cantilever Beam tests. The Compliance-Based Beam Method is applied as the data reduction scheme in order to obtain the strain energy release rate from the load-displacement curves. The cohesive laws are determined by differentiating the relationship between strain energy release rate and crack tip opening displacement. The latter is measured by the digital image correlation technique. High strain energy release rates were obtained for this species, with no big differences between crack propagation systems. The difference between the crack systems is somewhat more pronounced in terms of maximum stress that determines the respective cohesive laws.

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20

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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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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21

Rajendran, M., Ingo Schneider, and Anuradha Banerjee. "Stress State Dependent Cohesive Zone Model for Thin Walled Structures." Key Engineering Materials 417-418 (October 2009): 353–56. http://dx.doi.org/10.4028/www.scientific.net/kem.417-418.353.

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A new stress-state dependent cohesive zone model for thin walled structures is proposed. The model incorporates the stress-state explicitly within the traction-separation law using basic elasticity-plasticity equations combined with a model parameter. The numerical implementation of the model is able to reproduce ductile fracture observed in a pre-cracked C(T) specimen as well as a notched plate specimen of the same material.

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22

Kozák, Vladislav, and Zdeněk Chlup. "Crack Growth Modelling in the Silicon Nitride Ceramics by Application of the Cohesive Zone Approach." Key Engineering Materials 592-593 (November 2013): 193–96. http://dx.doi.org/10.4028/www.scientific.net/kem.592-593.193.

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Specific silicon nitride based materials are considered according to certain practical requirements of process, the influence of the grain size and orientation on the bridging mechanisms was found. Crack-bridging mechanisms can provide substantial increases in toughness coupled with the strength in ceramics. The prediction of the crack propagation through interface elements based on the fracture mechanics approach and cohesive zone model is investigated and from the amount of damage models the cohesive models seem to be especially attractive for the practical applications. Using cohesive models the behaviour of materials is realized by two types of elements. The former is the element for classical continuum and the latter is the connecting cohesive element. Within the standard finite element package Abaqus a new finite element has been developed; it is written via the UEL (users element) procedure. Its shape can be very easily modified according to the experimental data for the set of ceramics and composites. The new element seems to be very stable from the numerical point a view. The shape of the traction separation law for three experimental materials is estimated from the macroscopic tests, JR curve is predicted and stability of the bridging law is tested.

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23

Nian, Guodong, Qiyang Li, Qiang Xu, and Shaoxing Qu. "A cohesive zone model incorporating a Coulomb friction law for fiber-reinforced composites." Composites Science and Technology 157 (March 2018): 195–201. http://dx.doi.org/10.1016/j.compscitech.2018.01.037.

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24

Kozák, Vladislav, and Zdeněk Chlup. "Microindentation Test Modelling in the Silicon Nitride Ceramics by Application of the Cohesive Zone Approach." Key Engineering Materials 627 (September 2014): 329–32. http://dx.doi.org/10.4028/www.scientific.net/kem.627.329.

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Silicon nitride based ceramics have received considerable attention during the last decades due to their very good room and high-temperature properties. Ceramics such as silicon nitride (Si3N4) are acknowledged as first choice for modern bearing applications. The influence of grain bridging on the strength and toughness was found. The prediction of crack propagation through interface elements based on the fracture mechanics approach and cohesive zone model is investigated from amount damage models. Using cohesive models the behaviour of materials is realized by two types of elements. The former is the element for classical continuum and the latter is the connecting cohesive element. Within the standard finite element package Abaqus the new finite element has been developed; it is written via the UEL procedure. The shape of the traction separation law for experimental materials is estimated from macroscopic tests,J–Rcurve is predicted and stability of the bridging law is tested. The shape of the bridging law is verified using the microindentation test, where the maximum crack length not exceeded 150 μm. The scope of the bridging effect is verified using the standard XFEM elements implemented in Abaqus.

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25

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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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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26

Ríos, A., and A. Martín-Meizoso. "Micromechanical Model of Interface between Fibre and Matrix of Metal Matrix Composite Reinforced with Continuous Fibre." Advanced Materials Research 59 (December 2008): 158–63. http://dx.doi.org/10.4028/www.scientific.net/amr.59.158.

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A micromechanical model is employed to investigate the influence of the interface between the fibre and the matrix of a metal matrix composite with long fibre, which is elaborated through finite element method. Also, transverse properties of composite are studied in the present work. The interface, between the fibre and the matrix, is studied employing cohesive elements. These elements employ a cohesive zone model, which follows a bilinear law.

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27

Kim, Kyungmok. "Softening behaviour modelling of aluminium alloy 6082 using a non-linear cohesive zone law." Proceedings of the Institution of Mechanical Engineers, Part L: Journal of Materials: Design and Applications 229, no. 5 (February 24, 2014): 431–35. http://dx.doi.org/10.1177/1464420714525134.

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28

Carpinteri, Alberto, Baoming Gong, and Mauro Corrado. "Hardening cohesive/overlapping zone model for metallic materials: The size-scale independent constitutive law." Engineering Fracture Mechanics 82 (March 2012): 29–45. http://dx.doi.org/10.1016/j.engfracmech.2011.11.021.

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29

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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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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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 25, 2020): 61. http://dx.doi.org/10.15625/2525-2518/57/6a/14094.

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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

Morel, S., and N. Dourado. "R-Curve and Size Effect in Quasibrittle Fracture: A Rewriting of the Bazant’s Size Effect Law." Key Engineering Materials 488-489 (September 2011): 621–24. http://dx.doi.org/10.4028/www.scientific.net/kem.488-489.621.

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The recent rewriting of the Bazant's Size Effect Law which has suggested the existence of an additional asymptotic regime for intermediate structure sizes is compared to numerical simulations of fracture of geometrically similar notched structures of different sizes. The quasibrittle failure is simulated through Cohesive Zone Model (bilinear softening) using a constant set of cohesive parameters whatever the specimen size. The different asymptotic regimes expected for the size effect on the nominal strength are shown in fair agreement with the size effect observed on the results obtained from numerical simulations. The existence of the new asymptotic regime expected for intermediate structure sizes is, in particular, clearly revealed by this comparison.

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32

Ferreira, CL, RDSG Campilho, and RDF Moreira. "Experimental and numerical analysis of dual-adhesive stepped-lap aluminum joints." Proceedings of the Institution of Mechanical Engineers, Part E: Journal of Process Mechanical Engineering 234, no. 5 (February 16, 2020): 454–64. http://dx.doi.org/10.1177/0954408920905747.

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The use of adhesive bonds has attracted considerable interest from the scientific community. Stepped-lap joints have the advantage of decreasing stress gradients along the bond length, although the outer steps still encounter stress levels above the steps in the inner zone of the joint. One possible way to reduce this stress gradient is to combine this type of joint with the use of two adhesives. This work consists of an experimental and numerical evaluation of stepped-lap dual-adhesive joints between aluminum adherends, for various overlap lengths ( LO), and comparison with stepped-lap single-adhesive joints. The adhesives Araldite® AV138, Araldite® 2015, and Sikaforce® 7752 were evaluated. Numerically, cohesive zone models with a triangular damage law were applied in the joint behavior prediction. The analysis of the results is presented in the form of failure modes, stress analysis, damage variable analysis, load–displacement ( P–δ) curves and maximum load ( Pm), and energy required to failure ( U). It was concluded that, in general, cohesive zone model presented precise predictions. In general, no significant increase in strength was achieved with dual-adhesive joint but, on the other hand, significant energy increases were obtained.

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33

Zan, Da Qian, Quan Sun, Hong Liang Pan, Jian Jun Chen, and Zheng Dong Wang. "Study on 3D Edge Crack Extension Simulation in Cold Rolling with the Cohesive Zone Model." Applied Mechanics and Materials 853 (September 2016): 101–5. http://dx.doi.org/10.4028/www.scientific.net/amm.853.101.

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In the cold rolling process, the edge crack extension can cause the strip rupture completely due to the micro manufacturing defects in the edge. It can greatly impact on the production efficiency and cause the huge economic loss. Thus predicting the edge crack extension behavior becomes important to cold rolling industry. In this paper, a 3D extended finite element method (XFEM) based on the cohesive zone model (CZM) was used to study the edge crack extension under the non-reversing two-high mill cold rolling experiment condition. A bi-linear traction-separation law was utilized which is primarily given by the CZM parameters including the cohesive stress, T0 and the cohesive energy, Γ0. The cohesive stress was determined by hybrid technique of the thin-plate tension test and FEM simulation. The cohesive energy was obtained by the In-Situ SEM three points bending experiment. Different reductions were the mainly analysis factor which can study the extent of the edge crack extension by presetting the edge notch. By comparing the experimental and simulation results, they agreed well with each other. It illustrated that the CZM can provide accurate predictions for the edge crack extension in the cold rolling process. Parametric analysis was carried out and showed that the extent of the crack extension increases with the increasing of the reduction ratio.

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34

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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35

Guilpin, Franciere, Barton, Blacklock, and Birkett. "A Numerical and Experimental Study of Adhesively-Bonded Polyethylene Pipelines." Polymers 11, no. 9 (September 19, 2019): 1531. http://dx.doi.org/10.3390/polym11091531.

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Adhesive bonding of polyethylene gas pipelines is receiving increasing attention as a replacement for traditional electrofusion welding due to its potential to produce rapid and low-cost joints with structural integrity and pressure tight sealing. In this paper a mode-dependent cohesive zone model for the simulation of adhesively bonded medium density polyethylene (MDPE) pipeline joints is directly determined by following three consecutive steps. Firstly, the bulk stress–strain response of the MDPE adherend was obtained via tensile testing to provide a multi-linear numerical approximation to simulate the plastic deformation of the material. Secondly, the mechanical responses of double cantilever beam and end-notched flexure test specimens were utilised for the direct extraction of the energy release rate and cohesive strength of the adhesive in failure mode I and II. Finally, these material properties were used as inputs to develop a finite element model using a cohesive zone model with triangular shape traction separation law. The developed model was successfully validated against experimental tensile lap-shear test results and was able to accurately predict the strength of adhesively-bonded MPDE pipeline joints with a maximum variation of <3%.

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Kaiser, T., and A. Menzel. "Fundamentals of electro-mechanically coupled cohesive zone formulations for electrical conductors." Computational Mechanics 68, no. 1 (May 12, 2021): 51–67. http://dx.doi.org/10.1007/s00466-021-02019-z.

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AbstractMotivated by the influence of (micro-)cracks on the effective electrical properties of material systems and components, this contribution deals with fundamental developments on electro-mechanically coupled cohesive zone formulations for electrical conductors. For the quasi-stationary problems considered, Maxwell’s equations of electromagnetism reduce to the continuity equation for the electric current and to Faraday’s law of induction, for which non-standard jump conditions at the interface are derived. In addition, electrical interface contributions to the balance equation of energy are discussed and the restrictions posed by the dissipation inequality are studied. Together with well-established cohesive zone formulations for purely mechanical problems, the present developments provide the basis to study the influence of mechanically-induced interface damage processes on effective electrical properties of conductors. This is further illustrated by a study of representative boundary value problems based on a multi-field finite element implementation.

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Mikeš, Karel, Franz Bormann, Ondřej Rokoš, and Ron H. J. Peerlings. "MODELLING OF CRACK PROPAGATION: COMPARISON OF DISCRETE LATTICE SYSTEM AND COHESIVE ZONE MODEL." Acta Polytechnica CTU Proceedings 26 (March 17, 2020): 39–44. http://dx.doi.org/10.14311/app.2020.26.0039.

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Lattice models are often used to analyze materials with discrete micro-structures mainly due to their ability to accurately reflect behaviour of individual fibres or struts and capture macroscopic phenomena such as crack initiation, propagation, or branching. Due to the excessive number of discrete interactions, however, such models are often computationally expensive or even intractable for realistic problem dimensions. Simplifications therefore need to be adopted, which allow for efficient yet accurate modelling of engineering applications. For crack propagation modelling, the underlying discrete microstructure is typically replaced with an effective continuum, whereas the crack is inserted as an infinitely thin cohesive zone with a specific traction-separation law. In this work, the accuracy and efficiency of such an effective cohesive zone model is evaluated against the full lattice representation for an example of crack propagation in a three-point bending test. The variational formulation of both models is provided, and obtained results are compared for brittle and ductile behaviour of the underlying lattice in terms of force-displacement curves, crack opening diagrams, and crack length evolutions. The influence of the thickness of the process zone, which is present in the full lattice model but neglected in the effective cohesive zone model, is studied in detail.

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Truong, Do Van, Hiroyuku Hirakata, and Takayuki Katamura. "Prediction of delamination strength at interface between thin film and substrate by cohesive zone model." Vietnam Journal of Mechanics 28, no. 4 (December 31, 2006): 252–62. http://dx.doi.org/10.15625/0866-7136/28/4/5585.

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An electronic device consists of multi-layered submicron-thick films, and delamination often takes place at an interface edge because of the stress singularity near the edge. Since the stress singularity at an interface edge depends on the edge shape, the fracture mechanics concept cannot be used to compare the delamination strength between the components with different shapes. This paper aims to predict the delamination strength at the interface edge with arbitrary shape using a cohesive zone model. Two different experiments are conducted for a gold thin film on a silicon substrate to calibrate the cohesive law. The validity of the approach is then discussed.

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Chen, Jing, and Zhoudao Lu. "Crack Extension Resistance of Normal-Strength Concrete Subjected to Elevated Temperatures." Advances in Materials Science and Engineering 2014 (2014): 1–12. http://dx.doi.org/10.1155/2014/683756.

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Determination of the residual crack extension resistance curves (KR-curves) associated with cohesive force distribution on fictitious crack zone of complete fracture process is implemented in present research. The cohesive force distributes according to bilinear softening traction-separation law proposed by Petersson. Totally ten temperatures varying from 20°C to 600°C and the specimen size of230×200×200 mm with initial-notch depth ratios 0.4 are considered. The load-crack mouth opening displacement curves (P-CMOD) of postfire specimens are obtained by wedge-splitting method from which the stress intensity factor curves (K-curves) are calculated. In each temperature, with the distribution of cohesive force along the fracture process zone, the residual fracture toughnessKR(Δa) increases with increasing crack lengthΔa, whereas theKR-curves decrease with increasing temperaturesTmfor the thermal damage induced. The stability analysis on crack propagation demonstrates that when the residualKR-curve is higher thanK-curve, the crack propagates steadily; otherwise, the crack propagates unsteadily.

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Campilho, Raul D. S. G., Filipe J. P. Chaves, Arnaldo M. G. Pinto, Mariana D. Banea, and Lucas F. M. da Silva. "Influence of the Cohesive Law Parameters on the Strength Prediction of Adhesively-Bonded Joints." Materials Science Forum 730-732 (November 2012): 1000–1005. http://dx.doi.org/10.4028/www.scientific.net/msf.730-732.1000.

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Adhesive joints are largely employed nowadays as a fast and effective joining process. The respective techniques for strength prediction have also improved over the years. Cohesive Zone Models (CZM’s) coupled to Finite Element Method (FEM) analyses surpass the limitations of stress and fracture criteria and allow modelling damage. CZM’s require the energy release rates in tension (Gn) and shear (Gs) and respective fracture energies in tension (Gnc) and shear (Gsc). Additionally, the cohesive strengths (tn0 for tension and ts0 for shear) must also be defined. In this work, the influence of the CZM parameters of a triangular CZM used to model a thin adhesive layer is studied, to estimate their effect on the predictions. Some conclusions were drawn for the accuracy of the simulation results by variations of each one of these parameters.

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Li, Gang, and Chun Li. "Linking bilinear traction law parameters to cohesive zone length for laminated composites and bonded joints." Advances in aircraft and spacecraft science 1, no. 2 (March 25, 2014): 177–96. http://dx.doi.org/10.12989/aas.2014.1.2.177.

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Paliwal, B., and M. Cherkaoui. "An improved atomistic simulation based mixed-mode cohesive zone law considering non-planar crack growth." International Journal of Solids and Structures 50, no. 20-21 (October 2013): 3346–60. http://dx.doi.org/10.1016/j.ijsolstr.2013.06.002.

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Koloor, S. S. R., S. M. Rahimian-Koloor, A. Karimzadeh, M. Hamdi, Michal Petrů, and M. N. Tamin. "Nano-Level Damage Characterization of Graphene/Polymer Cohesive Interface under Tensile Separation." Polymers 11, no. 9 (September 2, 2019): 1435. http://dx.doi.org/10.3390/polym11091435.

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The mechanical behavior of graphene/polymer interfaces in the graphene-reinforced epoxy nanocomposite is one of the factors that dictates the deformation and damage response of the nanocomposites. In this study, hybrid molecular dynamic (MD) and finite element (FE) simulations of a graphene/polymer nanocomposite are developed to characterize the elastic-damage behavior of graphene/polymer interfaces under a tensile separation condition. The MD results show that the graphene/epoxy interface behaves in the form of elastic-softening exponential regressive law. The FE results verify the adequacy of the cohesive zone model in accurate prediction of the interface damage behavior. The graphene/epoxy cohesive interface is characterized by normal stiffness, tensile strength, and fracture energy of 5 × 10−8 (aPa·nm−1), 9.75 × 10−10 (nm), 2.1 × 10−10 (N·nm−1) respectively, that is followed by an exponential regressive law with the exponent, α = 7.74. It is shown that the commonly assumed bilinear softening law of the cohesive interface could lead up to 55% error in the predicted separation of the interface.

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Li-Mayer, J. Y. S., M. Martinez, J. Lambros, and M. N. Charalambides. "Determination of Mixed-Mode Cohesive Zone Failure Parameters Using Digital Volume Correlation and the Inverse Finite Element Method." Key Engineering Materials 774 (August 2018): 72–76. http://dx.doi.org/10.4028/www.scientific.net/kem.774.72.

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The suitability of an optimisation workflow for the determination of the mixed-mode cohesive zone model parameters using digital volume correlation (DVC) data and the inverse finite element method was examined. A virtual compression experiment of a cylinder with a spherical inclusion was modelled using the finite element method. A bilinear traction separation law with a linear mixed-mode relationship was used to describe the interfacial behaviour. Known mode I and mode II fracture energies, = 20 J/m2 and = 40 J/m2 and damage initiation stress, = 0.09 MPa, were used to generate a target composite debonding behaviour. An objective function,, determined based on the debonding behaviour measurable by DVC was chosen. A full factorial experiment was carried out for the four cohesive parameters and showed that correlation between fracture energies/ damage initiation stresses and is non-linear and discontinuous with multiple local minima. Optimisations initiated at the local minima identified from the full factorial experiment correctly determined the target cohesive fracture energies and damage initiation stresses.

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Zhang, Hua, Hai Wei Zhang, and Feng Su. "The Introduction and Application of Cohesive Zone Model on Asphalt Concrete Fracture Behavior." Applied Mechanics and Materials 744-746 (March 2015): 1320–23. http://dx.doi.org/10.4028/www.scientific.net/amm.744-746.1320.

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The cohesive zone model (CZM) is being increasingly used to simulate fracture and fragmentation processes in metallic, polymeric, and ceramic materials and their composites. The CZM regards fracture as a gradual phenomenon in which separation takes place across an extended crack tip. This paper introduces the concept of CZM, the constitutive relations of CZM, the influence of the shape of the interface law and up-to-date applications of CZM to bituminous mixtures and pavement structures. Furthermore, some current challenges and the future directions to the modeling of fracture in bituminous materials and pavements are briefly discussed.

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Filipp Fuchs, Peter, Klaus Fellner, and Gerald Pinter. "Local damage simulations of printed circuit boards based on in‐plane cohesive zone parameters." Circuit World 39, no. 2 (May 10, 2013): 60–66. http://dx.doi.org/10.1108/03056121311315774.

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PurposeThe purpose of this paper is to analyse, in a finite element simulation, the failure of a multilayer printed circuit board (PCB), exposed to an impact load, to better evaluate the reliability and lifetime. Thereby the focus was set on failures in the outermost epoxy layer.Design/methodology/approachThe fracture behaviour of the affected material was characterized. The parameters of a cohesive zone law were determined by performing a double cantilever beam test and a corresponding simulation. The cohesive zone law was used in an enriched finite element local simulation model to predict the crack initiation and crack propagation. Using the determined location of the initial crack, the energy release rate at the crack tip was calculated, allowing an evaluation of the local loading situation.FindingsA good concurrence between the simulated and the experimentally observed failure pattern was observed. Calculating the energy release rate of two example PCBs, the significant influence of the chosen type on the local failure behaviour was proven.Originality/valueThe work presented in this paper allows for the simulation and evaluation of failure in the outermost epoxy layers of printed circuit boards due to impact loads.

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Mokashi, Prasad, and Daniel Mendelsohn. "Nonlinear vibration of an edge-cracked beam with a cohesive zone, I: Nonlinear bending load-displacement relations for a linear softening cohesive law." Journal of Mechanics of Materials and Structures 3, no. 8 (October 1, 2008): 1573–88. http://dx.doi.org/10.2140/jomms.2008.3.1573.

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Googarchin, Hamed Saeidi, Mohammad Hassan Shojaeefard, Mohammad Reza Gheibi, and Zohreh Sarvi. "A novel cohesive zone model to simulate ductile adhesives in automotive structure metallic joints." International Journal of Computational Physics Series 1, no. 1 (March 6, 2018): 301–8. http://dx.doi.org/10.29167/a1i1p301-308.

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In recent years, increasing utilize of the adhesively bonded joints due to its prominent features in distribution of the stress in bonded area and bonding dissimilar material has led to developing its computational aspects to provide more reliable response. In this regard, cohesive zone model (CZM) as an effective method to simulate bondline is introduced. The crucial aspect of this method is the determination of the relation between traction and separation in fracture process zone (FPZ). In fact, the traction-separation law (TSL) is a material model which must be properly obtained and applied to the adhesive bondline. According to the literature, mechanical response of the adhesive joints in most cases (especially in ductile and semi-brittle adhesives) is depended on the TSL curve shape. In this study, a novel CZM is developed to simulate double cantilever beam (DCB) adhesive joint. The main advantageous this new model is considering non-linear behavior of ductile adhesives in elastic region. DCB coupons fabricated by means of Al 6061 adherends and Araldite 2015 adhesive. After direct extraction of the TSL and obtaining cohesive parameters of the new model, numerical simulation of the DCB is conducted. Finally, sensitivity analysis of cohesive parameters and effect of initial crack length on the DCB response is investigated.

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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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Baazaoui, A., T. Fourcade, Olivier Dalverny, Joël Alexis, and Moussa Karama. "Experimental and Numerical Study of Interfacial Fracture Parameters of a Brazed Joints." Advanced Materials Research 1099 (April 2015): 9–16. http://dx.doi.org/10.4028/www.scientific.net/amr.1099.9.

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This paper deals with an identification methodology of the interfacial fracture parameters to predict the lifetime of a metallic brazed joint. The methodology is based on an experimental-numerical study whereby the optimal parameters are obtained. The experimental data, using the scanning electron microscope analysis, allowed approving that failure of the assembly based AuGe solder seems first to appear near the interfaces. These results were confirmed by micrographs analysis of the solder/insert and solder/substrate interfaces. Then, using shear test results and parametric identification coupled with a finite elements model (FEM) simulation, the damage constitutive law of the interfacial fracture based on a bilinear cohesive zone model are identified. The agreement between the numerical results and the experimental data shows the applicability of the cohesive zone model to fatigue crack growth analysis and life estimation of brazed joints.

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