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Автор: Grafiati

Опубліковано: 6 вересня 2023

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1

Mikeš, Karel, Milan Jirásek, Jan Zeman, Ondřej Rokoš, and Ron H. J. Peerlings. "LOCALIZATION ANALYSIS OF DAMAGE FOR ONE-DIMENSIONAL PERIDYNAMIC MODEL." Acta Polytechnica CTU Proceedings 30 (April 22, 2021): 47–52. http://dx.doi.org/10.14311/app.2021.30.0047.

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Анотація:

Peridynamics is a recently developed extension of continuum mechanics, which replaces the traditional concept of stress by force interactions between material points at a finite distance. The peridynamic continuum is thus intrinsically nonlocal. In this contribution, a bond-based peridynamic model with elastic-brittle interactions is considered and the critical strain is defined for each bond as a function of its length. Various forms of length functions are employed to achieve a variety of macroscopic responses. A detailed study of three different localization mechanisms is performed for a one-dimensional periodic unit cell. Furthermore, a convergence study of the adopted finite element discretization of the peridynamic model is provided and an effective event-driven numerical algorithm is described.

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2

Shen, Feng, Qing Zhang, and Dan Huang. "Damage and Failure Process of Concrete Structure under Uniaxial Compression Based on Peridynamics Modeling." Mathematical Problems in Engineering 2013 (2013): 1–5. http://dx.doi.org/10.1155/2013/631074.

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Анотація:

Peridynamics is a nonlocal formulation of continuum mechanics, which uses integral formulation rather than the spatial partial differential equations. The peridynamic approach avoids using any spatial derivatives, which arise naturally in the classical local theory. It has shown effectiveness and advantage in solving discontinuous problems at both macro- and microscales. In this paper, the peridynamic theory is used to analyze damage and progressive failure of concrete structures. A nonlocal peridynamic model for concrete columns under uniaxial compression is developed. Numerical example illustrates that cracks in a peridynamic body of concrete form spontaneously. The result of the example clarifies the unique advantage of modeling damage accumulation and progressive failure of concrete based on peridynamic theory. This study provides a new promising alternative for analyzing complicated discontinuity problems. Finally, some open problems and future research trends in peridynamics are discussed.

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3

Altenbach, Holm, Oleksiy Larin, Konstantin Naumenko, Olha Sukhanova, and Mathias Würkner. "Elastic plate under low velocity impact: Classical continuum mechanics vs peridynamics analysis." AIMS Materials Science 9, no. 5 (2022): 702–18. http://dx.doi.org/10.3934/matersci.2022043.

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<abstract><p>The aim of this paper is to compare the classical continuum mechanics and the peridynamic models in the structural analysis of a monolithic glass plate subjected to ball drop. Governing equations are recalled in order to highlight the differences and basic features of both approaches. In this study the behavior of glass is assumed to be linear-elastic and damage processes are ignored. The generalized Hooke's law is assumed within the classical theory, while the linear peridynamic solid constitutive model is applied within the peridynamic analysis. Mechanical models for the ball drop simulation are discussed in detail. An emphasis is placed on the discretization including finite element mesh, peridynamic node lattice and time stepping, as well as appropriate constraints and contact conditions in both finite element and non-local peridynamics models. Deflections of the plate after the ball drop are presented as functions of time and the results based on the finite element and peridynamic analysis are compared. Good agreements between the deflection values in selected points of the plate as well as deflection fields at several time points indicate, that the model assumptions for the non-local peridynamic analysis including the horizon size, the short-range force contact settings and the support conditions are well suited. The developed peridynamics models can be applied in the future to analyze damage patterns in glass plates.</p></abstract>

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4

Shen, Feng, Zihan Chen, Jia Zheng, and Qing Zhang. "Numerical Simulation of Failure Behavior of Reinforced Concrete Shear Walls by a Micropolar Peridynamic Model." Materials 16, no. 8 (April 18, 2023): 3199. http://dx.doi.org/10.3390/ma16083199.

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Анотація:

A reinforced concrete shear wall is an important building structure. Once damage occurs, it not only causes great losses to various properties but also seriously endangers people’s lives. It is difficult to achieve an accurate description of the damage process using the traditional numerical calculation method, which is based on the continuous medium theory. Its bottleneck lies in the crack-induced discontinuity, whereas the adopted numerical analysis method has the continuity requirement. The peridynamic theory can solve discontinuity problems and analyze material damage processes during crack expansion. In this paper, the quasi-static failure and impact failure of shear walls are simulated by improved micropolar peridynamics, which provides the whole process of microdefect growth, damage accumulation, crack initiation, and propagation. The peridynamic predictions are in good match with the current experiment observations, filling the gap of shear wall failure behavior in existing research.

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5

Yakin, H. N., M. R. M. Rejab, Nur Hashim, and N. Nikabdullah. "A new quasi-brittle damage model implemented under quasi-static condition using bond-based peridynamics theory for progressive failure." Theoretical and Applied Mechanics, no. 00 (2023): 6. http://dx.doi.org/10.2298/tam230404006y.

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Анотація:

A novel quasi-brittle damage model implemented under quasistatic loading condition using bond-based peridynamics theory for progressive failure is proposed to better predict damage initiation and propagation in solid materials. Since peridynamics equation of motion was invented in dynamic configuration, this paper applies the adaptive dynamic relaxation equation to achieve steady-state in peridynamics formulation. To accurately characterise the progressive failure process in cohesive materials, we incorporate the dynamic equation with the novel damage model for quasi-brittle materials. Computational examples of 2D compressive and tensile problems using the proposed model are presented. This paper presents advancement by incorporating the adaptive dynamic equation approach into a new damage model for quasi-brittle materials. This amalgamation allows for a more accurate representation of the behavior of damaged materials, particularly in static or quasi-static loading situations, bringing the framework closer to reality. This research paves the way for the peridynamics formulation to be employed for a far broader class of loading condition behaviour than it is now able to.

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6

Roy, Pranesh, and Debasish Roy. "Peridynamics model for flexoelectricity and damage." Applied Mathematical Modelling 68 (April 2019): 82–112. http://dx.doi.org/10.1016/j.apm.2018.11.013.

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7

Ren, Huilong, Xiaoying Zhuang, and Timon Rabczuk. "A new peridynamic formulation with shear deformation for elastic solid." Journal of Micromechanics and Molecular Physics 01, no. 02 (July 2016): 1650009. http://dx.doi.org/10.1142/s2424913016500090.

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Анотація:

We propose a new peridynamic formulation with shear deformation for linear elastic solid. The key idea lies in subtracting the rigid body rotation part from the total deformation. Based on the strain energy equivalence between classic local model and non-local model, the bond force vector is derived. A new damage rule of maximal deviatoric bond strain for elastic brittle fracture is proposed in order to account for both the tensile damage and shear damage. 2D and 3D numerical examples are tested to verify the accuracy of the current peridynamics. The new damage rule is applied to simulate the propagation of Mode I, II and III cracks.

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8

Han, Junzhao, Guozhong Wang, Xiaoyu Zhao, Rong Chen, and Wenhua Chen. "Modeling of Multiple Fatigue Cracks for the Aircraft Wing Corner Box Based on Non-Ordinary State-Based Peridynamics." Metals 12, no. 8 (July 30, 2022): 1286. http://dx.doi.org/10.3390/met12081286.

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Анотація:

In the current research, we propose a novel non-ordinary state-based peridynamics (PD) fatigue model for multiple cracks’ initiation and growth under tension–tension fatigue load. In each loading cycle, the fatigue loading is redistributed throughout the peridynamic solid body, leading to progressive fatigue damage formation and expansion in an autonomous fashion. The proposed fatigue model parameters are first verified by a 3D numerical solution, and then, the novel model is used to depict the widespread fatigue damage evolution of the aircraft wing corner box. The modified constitutive damage model has been implemented into the peridynamic framework. Furthermore, the criteria and processes from multiple initiations to propagation are discussed in detail. It was found that the computational results obtained from the PD fatigue model were consistent with those from the test data. The angular errors of multiple cracks are within 2.66% and the number of cycles errors are within 15%. A comparison of test data and computational results indicates that the fatigue model can successfully capture multiple crack formations and propagation, and other behaviors of aluminum alloy material.

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9

Roy, Pranesh, Anil Pathrikar, S. P. Deepu, and Debasish Roy. "Peridynamics damage model through phase field theory." International Journal of Mechanical Sciences 128-129 (August 2017): 181–93. http://dx.doi.org/10.1016/j.ijmecsci.2017.04.016.

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10

Vazic, Bozo, Erkan Oterkus, and Selda Oterkus. "Peridynamic Model for a Mindlin Plate Resting on a Winkler Elastic Foundation." Journal of Peridynamics and Nonlocal Modeling 2, no. 3 (January 10, 2020): 229–42. http://dx.doi.org/10.1007/s42102-019-00019-5.

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Анотація:

AbstractIn this study, a peridynamic model is presented for a Mindlin plate resting on a Winkler elastic foundation. In order to achieve static and quasi-static loading conditions, direct solution of the peridynamic equations is utilised by directly assigning inertia terms to zero rather than using widely adapted adaptive dynamic relaxation approach. The formulation is verified by comparing against a finite element solution for transverse loading condition without considering damage and comparing against a previous study for pure bending of a Mindlin plate with a central crack made of polymethyl methacrylate material having negligibly small elastic foundation stiffness. Finally, the fracture behaviour of a pre-cracked Mindlin plate rested on a Winkler foundation subjected to transverse loading representing a floating ice floe interacting with sloping structures. Similar fracture patterns observed in field observations were successfully captured by peridynamics.

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11

Li, Tianyi, Xin Gu, Qing Zhang, and Xiaozhou Xia. "Elastoplastic Constitutive Modeling for Reinforced Concrete in Ordinary State-Based Peridynamics." Journal of Mechanics 36, no. 6 (October 23, 2020): 799–811. http://dx.doi.org/10.1017/jmech.2020.50.

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ABSTRACTA non-local, ordinary state-based, peridynamic elastoplastic model is formulated to numerically simulate the fracture of reinforced concrete materials. Several basic definitions are first discussed to avoid confusion; and then, a detailed derivation of the force vector state is presented, leading to a unified expression of force state for one-, two- and three-dimensional elasticity problems. Furthermore, an ordinary state-based peridynamic (OSB PD) elastoplastic analysis approach is developed for both plastic compressible and incompressible materials, including the constitutive relationship, the yield function, the consistency condition and the plasticity flow rule. The peridynamic predictions of a quasi-static deformation of the steel rods are in good agreement with the analytical solution. Moreover, the OSB PD plasticity is verified by analyzing a square plate with or without a central hole suffering different loading-unloading paths. Finally, a two dimensional reinforced concrete clamped beam subjected to impact loading is simulated with the proposed OSB PD elastoplasticity, demonstrating its capability in capturing the damage characteristics and structural failure behavior. Simulation results show good accuracy of the peridynamics in simulating elastoplastic problems.

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12

Gu, X. B., and Q. H. Wu. "The Application of Nonordinary, State-Based Peridynamic Theory on the Damage Process of the Rock-Like Materials." Mathematical Problems in Engineering 2016 (2016): 1–9. http://dx.doi.org/10.1155/2016/9794605.

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Анотація:

Peridynamics has a great advantage over modeling the damage process of rock-like materials, which is assumed to be in a continuum interaction with each other across a finite distance. In the paper, an approach to incorporate classical elastic damage model in the nonordinary, state-based peridynamics is introduced. This method can model the dynamic damage process and stress change of rock-like materials. Then two instances about three-point bend experiment are simulated in the rock-like materials. Finally the conclusions are drawn that numerical results are close to the experimental results. So the method has a great predictable value in the geotechnical engineering.

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13

Pathrikar, Anil, Shashi Bhushan Tiwari, Prashanthan Arayil, and Debasish Roy. "Thermomechanics of damage in brittle solids: A peridynamics model." Theoretical and Applied Fracture Mechanics 112 (April 2021): 102880. http://dx.doi.org/10.1016/j.tafmec.2020.102880.

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14

Cruz, Atila Lupim, and Mauricio Vicente Donadon. "An elastoplastic constitutive damage model based on peridynamics formulation." International Journal of Non-Linear Mechanics 142 (June 2022): 103978. http://dx.doi.org/10.1016/j.ijnonlinmec.2022.103978.

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15

Wu, Liwei, Dan Huang, Yepeng Xu, and Lei Wang. "A rate-dependent dynamic damage model in peridynamics for concrete under impact loading." International Journal of Damage Mechanics 29, no. 7 (January 24, 2020): 1035–58. http://dx.doi.org/10.1177/1056789519901162.

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Анотація:

To study the dynamic behavior and impact damage and failure of concrete materials and structures, a dynamic damage model was reformulated under the framework of the non-local peridynamic theory in this paper. The stretch rate of material bonds, equivalent to the strain rate in classical continuum mechanics, was introduced, and a rate-dependent peridynamic model describing the dynamic damage and failure of concrete materials was then proposed, taking both the dynamic failure of bonds and the rate-sensitivity of damage evolution under different stretch rate into account. The connection between the stretch rate and strength and tensile and compressive failure of concrete materials was established in the peridynamic model. To verify the proposed dynamic damage model for concrete failure, several typical examples simulating the mixed-mode fracture of concrete specimen were investigated. The failure mode, crack propagation paths and the crack propagation speed in the specimen in different cases were captured, which agree well with the experimental results and available numerical results. After model validation, the effect of the number and length of pre-existing cracks on the dynamic failure of concrete components was investigated further.

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16

You, H. Q., X. Xu, Y. Yu, S. Silling, M. D’Elia, and J. Foster. "Towards a unified nonlocal, peridynamics framework for the coarse-graining of molecular dynamics data with fractures." Applied Mathematics and Mechanics 44, no. 7 (July 2023): 1125–50. http://dx.doi.org/10.1007/s10483-023-2996-8.

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AbstractMolecular dynamics (MD) has served as a powerful tool for designing materials with reduced reliance on laboratory testing. However, the use of MD directly to treat the deformation and failure of materials at the mesoscale is still largely beyond reach. In this work, we propose a learning framework to extract a peridynamics model as a mesoscale continuum surrogate from MD simulated material fracture data sets. Firstly, we develop a novel coarse-graining method, to automatically handle the material fracture and its corresponding discontinuities in the MD displacement data sets. Inspired by the weighted essentially non-oscillatory (WENO) scheme, the key idea lies at an adaptive procedure to automatically choose the locally smoothest stencil, then reconstruct the coarse-grained material displacement field as the piecewise smooth solutions containing discontinuities. Then, based on the coarse-grained MD data, a two-phase optimization-based learning approach is proposed to infer the optimal peridynamics model with damage criterion. In the first phase, we identify the optimal nonlocal kernel function from the data sets without material damage to capture the material stiffness properties. Then, in the second phase, the material damage criterion is learnt as a smoothed step function from the data with fractures. As a result, a peridynamics surrogate is obtained. As a continuum model, our peridynamics surrogate model can be employed in further prediction tasks with different grid resolutions from training, and hence allows for substantial reductions in computational cost compared with MD. We illustrate the efficacy of the proposed approach with several numerical tests for the dynamic crack propagation problem in a single-layer graphene. Our tests show that the proposed data-driven model is robust and generalizable, in the sense that it is capable of modeling the initialization and growth of fractures under discretization and loading settings that are different from the ones used during training.

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17

Pathrikar, Anil, Md Masiur Rahaman, and D. Roy. "A thermodynamically consistent peridynamics model for visco-plasticity and damage." Computer Methods in Applied Mechanics and Engineering 348 (May 2019): 29–63. http://dx.doi.org/10.1016/j.cma.2019.01.008.

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18

H.N. Yakin, Nik Abdullah Nik Mohamed, and M.R.M. Rejab. "A Quasi-Brittle damage model in the framework of Bond-based Peridynamics with Adaptive Dynamic Relaxation method." Journal of Mechanical Engineering and Sciences 15, no. 4 (December 15, 2021): 8617–23. http://dx.doi.org/10.15282/jmes.15.4.2021.14.0680.

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Анотація:

Peridynamics (PD) is a new tool, based on the non-local theory for modelling fracture mechanics, where particles connected through physical interaction used to represent a domain. By using the PD theory, damage or crack in a material domain can be shown in much practical representation. This study compares between Prototype Microelastic Brittle (PMB) damage model and a new Quasi-Brittle (QBR) damage model in the framework of the Bond-based Peridynamics (BBPD) in terms of the damage plot. An in-house code using Matlab was developed for BBPD with inclusion of both damage models, and tested for a quasi-static problem with the implementation of Adaptive Dynamic Relaxation (ADR) method in the theory in order to get a faster steady state solutions. This paper is the first attempt to include ADR method in the framework of BBPD for QBR damage model. This paper analysed a numerical problem with the absence of failure and compared the displacement with literature result that used Finite Element Method (FEM). The obtained numerical results are in good agreement with the result from FEM. The same problem was used with the allowance of the failure to happen for both of the damage models; PMB and QBR, to observe the damage pattern between these two damage models. PMB damage model produced damage value of roughly twice compared to the damage value from QBR damage model. It is found that the QBR damage model with ADR under quasi-static loading significantly improves the prediction of the progressive failure process, and managed to model a more realistic damage model with respect to the PMB damage model.

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19

Zhou, Ji, and Songrong Qian. "Simulation of Brittle Materials Based on Ordinary State-based Peridynamics." Journal of Physics: Conference Series 2549, no. 1 (July 1, 2023): 012022. http://dx.doi.org/10.1088/1742-6596/2549/1/012022.

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Abstract We present a coupled model for brittle materials based on the ordinary state-based peridynamics. The ordinary state-based peridynamics theory is suitable for describing the plastic incompressibility problem and has good application prospects in the fracture damage simulation of brittle materials. The brittle material is a material with a compressive load-bearing capacity greater than the tensile load-bearing capacity and has the characteristics of incompressibility, which is consistent with the application scope of ordinary state-based peridynamics. The mechanical behavior of brittle materials is simulated and analyzed using the ordinary state-based peridynamics theory coupled with brittle materials, and the validity of the model is verified using the finite element method. The results show that the model can effectively capture the displacement field distribution of the brittle material, and the comparison of the finite element results displacement field is consistent. Finally, crack extension analysis is performed on the brittle material plate with prefabricated defects, where the cracks extend along the defect location, bifurcate, and finally penetrate the upper and lower surfaces of the material. The results show that the model can effectively predict the crack expansion path of the material, which provides a new research idea for the simulation of crack expansion in brittle materials.

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20

Zhang, Feng, Xinting Hou, Pihua Ji, Cheng Han, Lei Cheng, and Xiaoxiao Liu. "Dynamic simulation of aircraft electro-impulse de-icing using bond-based peridynamics." Advances in Mechanical Engineering 14, no. 11 (November 2022): 168781322211302. http://dx.doi.org/10.1177/16878132221130218.

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Electro-impulse de-icing is a lightweight type of mechanical de-icing system that consumes little energy, provides high reliability, and offers wide application prospects. In this study, the bond-based peridynamics theory was used to simulate the dynamic damage process and evolution law of aircraft electro-impulse de-icing. The ice layer was simplified as a brittle material that satisfies the linear elastic constitutive relation. A numerical analysis model of the ice layer, aircraft skin substrate, and their interface was established to simulate the dynamic responses under a high strain rate. Considering the anisotropy of ice adhesion on the substrate, the interfacial bonds were described as shear bonds and tensile bonds, and the critical elongations of the two were derived. The tensile and shear capacities of the ice on the substrate were then simulated using these critical elongations, and the peeling rates of single ice particles and interfacial ice layers were taken as indexes describing the efficacy of electro-impulse de-icing. The process of electro-impulse de-icing was then analyzed for an aluminum substrate with two adjacent clamped edges. Finally, the results of the peridynamic simulation were compared with those of existing experiments and finite element models to verify the effectiveness of the peridynamic approach.

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21

Roy, Pranesh, S. P. Deepu, Anil Pathrikar, Debasish Roy, and J. N. Reddy. "Phase field based peridynamics damage model for delamination of composite structures." Composite Structures 180 (November 2017): 972–93. http://dx.doi.org/10.1016/j.compstruct.2017.08.071.

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22

Shishkanov, Dmitry A., Maxim V. Vetchinnikov, and Yuriy N. Deryugin. "Peridynamics method for problems solve of solids destruction." Zhurnal Srednevolzhskogo Matematicheskogo Obshchestva 24, no. 4 (December 31, 2022): 452–68. http://dx.doi.org/10.15507/2079-6900.24.202204.452-468.

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Анотація:

Abstract. The article investigates the method of peridynamics, which is an alternative approach to solving destruction problems based on integral equations. It is assumed that particles in a continuum interact with each other at a finite distance, as in molecular dynamics. Damage is part of the theory at the level of two-particle interactions, so damage finding and destruction occurs when solving the equation of motion. During this work, bondbased and state-based peridynamics models of destruction used in the Sandia Laboratory were described and implemented within the framework of the MoDyS molecular dynamics software package. In the bond-based model, the defining relationship is the bond stiffness function, which corrects the force of particle-particle interaction and imposes a restriction on the use of the Poisson’s ratio. The state-based model generalizes the bond-based approach and may be applied to materials with any Poisson’s ratio. The relationship of both models is ascertained. Calculation convergence is demonstrated on the example of a one-dimensional elasticity problem. The possibility of using the implemented models for fracture problems is also shown.

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23

Moghtaderi, Saeed H., Alias Jedi, and Ahmad Kamal Ariffin. "A Review on Nonlocal Theories in Fatigue Assessment of Solids." Materials 16, no. 2 (January 15, 2023): 831. http://dx.doi.org/10.3390/ma16020831.

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Анотація:

A review of nonlocal theories utilized in the fatigue and fracture modeling of solid structures is addressed in this paper. Numerous papers have been studied for this purpose, and various nonlocal theories such as the nonlocal continuum damage model, stress field intensity model, peridynamics model, elastic-plastic models, energy-based model, nonlocal multiscale model, microstructural sensitive model, nonlocal lattice particle model, nonlocal high cycle fatigue model, low cycle fatigue model, nonlocal and gradient fracture criteria, nonlocal coupled damage plasticity model and nonlocal fracture criterion have been reviewed and summarized in the case of fatigue and fracture of solid structures and materials.

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24

Willberg, Christian, Lasse Wiedemann, and Martin Rädel. "A mode-dependent energy-based damage model for peridynamics and its implementation." Journal of Mechanics of Materials and Structures 14, no. 2 (May 29, 2019): 193–217. http://dx.doi.org/10.2140/jomms.2019.14.193.

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25

Dai, Zili, Jinwei Xie, Zhitang Lu, Shiwei Qin, and Lin Wang. "Numerical Modeling on Crack Propagation Based on a Multi-Grid Bond-Based Dual-Horizon Peridynamics." Mathematics 9, no. 22 (November 10, 2021): 2848. http://dx.doi.org/10.3390/math9222848.

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Анотація:

Peridynamics (PD) is a novel nonlocal theory of continuum mechanics capable of describing crack formation and propagation without defining any fracture rules in advance. In this study, a multi-grid bond-based dual-horizon peridynamics (DH-PD) model is presented, which includes varying horizon sizes and can avoid spurious wave reflections. This model incorporates the volume correction, surface correction, and a technique of nonuniformity discretization to improve calculation accuracy and efficiency. Two benchmark problems are simulated to verify the reliability of the proposed model with the effect of the volume correction and surface correction on the computational accuracy confirmed. Two numerical examples, the fracture of an L-shaped concrete specimen and the mixed damage of a double-edged notched specimen, are simulated and analyzed. The simulation results are compared against experimental data, the numerical solution of a traditional PD model, and the output from a finite element model. The comparisons verify the calculation accuracy of the corrected DH-PD model and its advantages over some other models like the traditional PD model.

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26

Huang, Jiasheng, Lu-Wen Zhang, and K. M. Liew. "A hybrid polymer–water peridynamics model for ballistic penetration damage of soft materials." Computer Methods in Applied Mechanics and Engineering 415 (October 2023): 116216. http://dx.doi.org/10.1016/j.cma.2023.116216.

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27

Guski, V., W. Verestek, E. Oterkus, and S. Schmauder. "Microstructural Investigation of Plasma Sprayed Ceramic Coatings Using Peridynamics." Journal of Mechanics 36, no. 2 (March 5, 2020): 183–96. http://dx.doi.org/10.1017/jmech.2019.58.

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Анотація:

ABSTRACTThe present study deploys a continuum mechanics approach called peridynamics to investigate the damage behaviour of a 2D microstructure, which was taken from a plasma sprayed ceramic coating used in solid oxide fuel cell (SOFC) sealing systems. At the beginning, two benchmark cases, namely, plate with a hole as well as plate with a single edge notch, are considered. The results are compared to an analytical solution and a very good agreement is obtained. Based on these findings, a microstructural model from a plasma sprayed ceramic coating of SOFC sealing systems is investigated. These micromechanical simulations show that structural defects influence the crack initiation as well as the crack propagation during interconnecting the defects. Typical crack mechanisms, such as crack deflection, crack shielding or multiple cracking, are observed. Additionally, an anisotropy of the effective mechanical properties is observed in this heterogeneous material, which is well known for plasma sprayed materials.

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28

Yang, Dong, Wei Dong, Xuefeng Liu, Shenghui Yi, and Xiaoqiao He. "Investigation on mode-I crack propagation in concrete using bond-based peridynamics with a new damage model." Engineering Fracture Mechanics 199 (August 2018): 567–81. http://dx.doi.org/10.1016/j.engfracmech.2018.06.019.

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29

Hou, Weiye, Yuyang Hu, Chengfang Yuan, Hu Feng, and Zhanqi Cheng. "Peridynamic Simulation of Dynamic Fracture Process of Engineered Cementitious Composites (ECC) with Different Curing Ages." Materials 15, no. 10 (May 12, 2022): 3494. http://dx.doi.org/10.3390/ma15103494.

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The mechanical properties of engineered cementitious composites (ECC) are time-dependent due to the cement hydration process. The mechanical behavior of ECC is not only related to the matrix material properties, but also to the fiber/matrix interface properties. In this study, the modeling of fiber and fiber/matrix interactions is accomplished by using a semi-discrete model in the framework of peridynamics (PD), and the time-varying laws of cement matrix and fiber/matrix interface bonding properties with curing age are also considered. The strain-softening behavior of the cement matrix is represented by introducing a correction factor to modify the pairwise force function in PD theory. The fracture damage of ECC plate from 3 to 28 days was numerically simulated by using the improved PD model to visualize the process of damage fracture under dynamic loading. The shorter the hydration time, the lower the corresponding elastic modulus, and the smaller the number of cracks generated. The dynamic fracture process of early-age ECC is analyzed to understand the crack development pattern, which provides reference for guiding structural design and engineering practice.

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30

Yang, Dong, Xiaoqiao He, Jiaqi Zhu, and Zhiwu Bie. "A novel damage model in the peridynamics-based cohesive zone method (PD-CZM) for mixed mode fracture with its implicit implementation." Computer Methods in Applied Mechanics and Engineering 377 (April 2021): 113721. http://dx.doi.org/10.1016/j.cma.2021.113721.

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31

Wang, Fei, Yu’e Ma, Yanning Guo, and Wei Huang. "Numerical studies on mixed-mode crack propagation behavior for functionally graded material based on peridynamic theory." International Journal of Computational Materials Science and Engineering 07, no. 04 (December 2018): 1850027. http://dx.doi.org/10.1142/s2047684118500276.

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Peridynamics (PD) is a new nonlocal theory that unifies the mechanics of discrete particles, continuum, and continuum with discontinuities, and it has inherent advantages in calculating the mixed-mode crack propagating. Functionally graded materials (FGMs) are the advanced composite materials, fracture behavior of which is complicated to be simulated by the traditional continuum mechanics. Hence, a PD model for FGMs is given to investigate the mixed-mode fracture behavior under quasi-static loading. Basic PD equations, damage model, and PD [Formula: see text]-integral for FGMs are discussed. A FORTRAN program of PD algorithm is coded to calculate the [Formula: see text]-integral and crack propagation of FGMs. The [Formula: see text]-integral and the crack paths of the PD model are verified by comparing with the published numerical and experimental results. Effects of the material gradient, the material gradient direction, and the stress load magnitude on the fracture behavior are investigated. It is shown that the PD [Formula: see text]-integral and the crack path are strongly affected by the material gradient and the gradient direction under the same stress load. When the gradient of FGMs is linear, the material gradient direction decides whether the mixed-mode crack kinks or not and the magnitude of stress determines the kinking angle.

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32

Jafarzadeh, Siavash, Jiangming Zhao, Mahmoud Shakouri, and Florin Bobaru. "A peridynamic model for crevice corrosion damage." Electrochimica Acta 401 (January 2022): 139512. http://dx.doi.org/10.1016/j.electacta.2021.139512.

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33

Yang, Na-Na, Tian-You Zhao, Ji-Guang Gu, and Zhi-Peng Chen. "Damage and Fracture Analysis of Bolted Joints of Composite Materials Based on Peridynamic Theory." Polish Maritime Research 26, no. 2 (June 1, 2019): 22–32. http://dx.doi.org/10.2478/pomr-2019-0022.

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Abstract It is clear that the advantages of fibre glass-reinforced plastics surpass those of steel, but the failure analysis of composite structures is much more complex than that of isotropic materials as composite materials may fail in a variety of ways. In order to simulate the damage and fracture of bolted joints of fibre reinforced composite, the bond-based peridynamic method suitable for elastic, brittle and anisotropic characteristics of composite material is used. The peridynamic model for composite laminate is validated by the finite element method. Then a peridynamic program of composite damage is applied to calculating the damage of bolted joint structure and the damage propagation process and failure mode of the structure is obtained.

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34

Wang, Lanwen, Xuanyu Sheng, and Jianbin Luo. "A peridynamic damage-cumulative model for rolling contact fatigue." Theoretical and Applied Fracture Mechanics 121 (October 2022): 103489. http://dx.doi.org/10.1016/j.tafmec.2022.103489.

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35

Han, Junzhao, and Wenhua Chen. "An Ordinary State-Based Peridynamic Model for Fatigue Cracking of Ferrite and Pearlite Wheel Material." Applied Sciences 10, no. 12 (June 24, 2020): 4325. http://dx.doi.org/10.3390/app10124325.

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To deal with a new-developed ferrite and pearlite wheel material named D1, an alternative ordinary state-based peridynamic model for fatigue cracking is introduced due to cyclic loading. The proposed damage model communicates across the microcrack initiation to the macrocrack growth and does not require additional criteria. Model parameters are verified from experimental data. Each bond in the deformed material configuration is built as a fatigue specimen subjected to variable amplitude loading. Fatigue crack initiation and crack growth developed naturally over many loading cycles, which is controlled by the parameter “node damage” within a region of finite radius. Critical damage factors are also imposed to improve efficiency and stability for the fatigue model. Based on the improved adaptive dynamic relaxation method, the static solution is obtained in every loading cycle. Convergence analysis is presented in smooth fatigue specimens at different loading levels. Experimental results show that the proposed peridynamic fatigue model captures the crack sensitive location well without extra criteria and the fatigue life obtained from the simulation has a good correlation with the experimental results.

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36

De Meo, Dennj, and Erkan Oterkus. "Finite element implementation of a peridynamic pitting corrosion damage model." Ocean Engineering 135 (May 2017): 76–83. http://dx.doi.org/10.1016/j.oceaneng.2017.03.002.

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37

Jafarzadeh, Siavash, Ziguang Chen, Shumin Li, and Florin Bobaru. "A peridynamic mechano-chemical damage model for stress-assisted corrosion." Electrochimica Acta 323 (November 2019): 134795. http://dx.doi.org/10.1016/j.electacta.2019.134795.

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38

Huang, Dan, Guangda Lu, and Yiming Liu. "Nonlocal Peridynamic Modeling and Simulation on Crack Propagation in Concrete Structures." Mathematical Problems in Engineering 2015 (2015): 1–11. http://dx.doi.org/10.1155/2015/858723.

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An extended peridynamic approach for crack propagation analysis in concrete structures was proposed. In the peridynamic constitutive model, concrete material was described as a series of interacting particles, and the short-range repulsive force and anisotropic behavior of concrete were taken into account in the expression of the interactive bonding force, which was given in terms of classical elastic constants and peridynamic horizon. The damage of material was defined locally at the level of pairwise bond, and the critical stretch of material bond was described as a function of fracture strength in the classical concrete failure theory. The efficiency and accuracy of the proposed model and algorithms were validated by simulating the propagation of mode I and I-II mixed mode cracks in concrete slabs. Furthermore, crack propagation in a double-edge notched concrete beam subjected to four-point load was simulated, in which the experimental observations are captured naturally as a consequence of the solution.

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39

Huang, Dan, Guang Da Lu, and Meng Wei Wang. "Peridynamic Modeling of Concrete Structures." Applied Mechanics and Materials 638-640 (September 2014): 1725–29. http://dx.doi.org/10.4028/www.scientific.net/amm.638-640.1725.

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An improved nonlocal peridynamic model was proposed to analyze the progressive failure and crack propagation in concrete structures. Integration-typed equations of motion rather than partial differential equations are utilized so that the cracks will propagate naturally as a consequence of simulation. The anisotropy of concrete and the short-range repulsion between material points were incorporated into the pericynamic constitutive model for concrete, and the damage of material was defined locally at the level of pairwise bond. Its validity was established through qualitative and quantitative comparisons against finite element analysis and experimental observations.

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40

Chen, Ziguang, Sina Niazi, and Florin Bobaru. "A peridynamic model for brittle damage and fracture in porous materials." International Journal of Rock Mechanics and Mining Sciences 122 (October 2019): 104059. http://dx.doi.org/10.1016/j.ijrmms.2019.104059.

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41

Nikravesh, Siavash, and Walter Gerstle. "Improved State-Based Peridynamic Lattice Model Including Elasticity, Plasticity and Damage." Computer Modeling in Engineering & Sciences 116, no. 3 (September 26, 2018): 323–47. http://dx.doi.org/10.31614/cmes.2018.04099.

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42

Qi, Jiaqi, Cheng Li, Ying Tie, Yanping Zheng, Zhen Cui, and Yuechen Duan. "An Ordinary State-Based Peridynamic Model of Unidirectional Carbon Fiber Reinforced Polymer Material in the Cutting Process." Polymers 15, no. 1 (December 23, 2022): 64. http://dx.doi.org/10.3390/polym15010064.

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Due to the complexity of the composite structure, analyzing the material failure process of carbon fiber reinforced polymers (CFRP) is fairly difficult, particularly for the machining process. Peridynamic theory, a new branch of solid mechanics, is a useful tool for dealing with discontinuities. This study presents an ordinary state-based peridynamic (OSB-PD) model for unidirectional CFRP material in the cutting process. In this model, angle tolerance is used to overcome the fiber angle limitation in a classical OSB-PD laminate method, and the short-range force approach is utilized to simulate the contact of the cutting tool and workpiece. The effectiveness of the supplied models is validated by tension and cutting tests. Finally, it can be indicated that the OSB-PD model is capable of predicting machined surface damage and cutting force, based on the comparison of simulation and experimental data.

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43

Tupek, M. R., J. J. Rimoli, and R. Radovitzky. "An approach for incorporating classical continuum damage models in state-based peridynamics." Computer Methods in Applied Mechanics and Engineering 263 (August 2013): 20–26. http://dx.doi.org/10.1016/j.cma.2013.04.012.

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44

Jiang, Xiao-Wei, Hai Wang, and Shijun Guo. "Peridynamic Open-Hole Tensile Strength Prediction of Fiber-Reinforced Composite Laminate Using Energy-Based Failure Criteria." Advances in Materials Science and Engineering 2019 (January 20, 2019): 1–14. http://dx.doi.org/10.1155/2019/7694081.

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In the present study, peridynamic (PD) open-hole tensile (OHT) strength prediction of fiber-reinforced composite laminate using energy-based failure criteria is conducted. Spherical-horizon peridynamic laminate theory (PDLT) model is used. Energy-based failure criteria are introduced into the model. Delamination fracture modes can be distinguished in the present energy-based failure criteria. Three OHT testing results of fiber-reinforced composite laminate are chosen from literatures and used as benchmarks to validate the present PD composite model with energy-based failure criteria. It is shown that the PD predicted OHT strength fits the experimental results quite well. From the predicted displacement field, the fracture surface can be clearly detected. Typical damage modes of composite, fiber breakage, matrix crack, and delamination, are also illustrated in detail for each specimen. Numerical results in the present study validate the accuracy and reliability of the present PD composite model with energy-based failure criteria.

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45

Tian, Da-Lang, and Xiao-Ping Zhou. "A continuum-kinematics-inspired peridynamic model of anisotropic continua: Elasticity, damage, and fracture." International Journal of Mechanical Sciences 199 (June 2021): 106413. http://dx.doi.org/10.1016/j.ijmecsci.2021.106413.

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46

Jiang, Xiao-Wei, Shijun Guo, Hao Li, and Hai Wang. "Peridynamic Modeling of Mode-I Delamination Growth in Double Cantilever Composite Beam Test: A Two-Dimensional Modeling Using Revised Energy-Based Failure Criteria." Applied Sciences 9, no. 4 (February 15, 2019): 656. http://dx.doi.org/10.3390/app9040656.

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This study presents a two-dimensional ordinary state-based peridynamic (OSB PD) modeling of mode-I delamination growth in a double cantilever composite beam (DCB) test using revised energy-based failure criteria. The two-dimensional OSB PD composite model for DCB modeling is obtained by reformulating the previous OSB PD lamina model in x–z direction. The revised energy-based failure criteria are derived following the approach of establishing the relationship between critical bond breakage work and energy release rate. Loading increment convergence analysis and grid spacing influence study are conducted to investigate the reliability of the present modeling. The peridynamic (PD) modeling load–displacement curve and delamination growth process are then quantitatively compared with experimental results obtained from standard tests of composite DCB samples, which show good agreement between the modeling results and experimental results. The PD modeling delamination growth process damage contours are also illustrated. Finally, the influence of the revised energy-based failure criteria is investigated. The results show that the revised energy-based failure criteria improve the accuracy of the PD delamination modeling of DCB test significantly.

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47

Sun, Mingwei, Lisheng Liu, Hai Mei, Xin Lai, Xiang Liu, and Jing Zhang. "A Bond-Based Peridynamic Model with Matrix Plasticity for Impact Damage Analysis of Composite Materials." Materials 16, no. 7 (April 4, 2023): 2884. http://dx.doi.org/10.3390/ma16072884.

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The prediction of damage and failure to fiber-reinforced polymer composites in extreme environments, particularly when subjected to impact loading, is a crucial issue for the application and design of protective structures. In this paper, based on the prototype microelastic brittle (PMB) model and the LaRC05 composite materials failure model, we proposed a bond-based peridynamic (BB-PD) model with the introduction of plastic hardening of the resin matrix for fiber-reinforced polymer composites. The PD constitutive relationships of the matrix bond and interlayer bond under compressive loading are considered to include two stages of linear elasticity and plastic hardening, according to the stress–strain relationship of the resin matrix in the LaRC05 failure model. The proposed PD model is employed to simulate the damage behaviors of laminated composites subjected to impact loading. The corresponding ballistic impact tests of composite laminates were carried out to observe their damage behaviors. The PD prediction results are in good agreement with the ballistic experimental results, which can verify the correctness and accuracy of the PD model developed in this study in describing the impact damage behaviors of composite materials. In addition, the characteristics and degree of damage in composite laminates are analyzed and discussed based on this PD model. The difference in the impact resistance of composite laminates with different stacking sequences is also studied using the numerical simulation results.

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48

Rossi Cabral, Néstor, María Agustina Invaldi, Ricardo Barrios D'Ambra, and Ignacio Iturrioz. "An alternative bilinear peridynamic model to simulate the damage process in quasi-brittle materials." Engineering Fracture Mechanics 216 (July 2019): 106494. http://dx.doi.org/10.1016/j.engfracmech.2019.106494.

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49

Shen, Rulin, Rui Xiong, and Yanling Gong. "Analysis of Damage and Crack Propagation in Unidirectional Composite Laminates with a Peridynamic Model." Journal of Physics: Conference Series 1549 (June 2020): 032088. http://dx.doi.org/10.1088/1742-6596/1549/3/032088.

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50

Zhang, Heng, and Pizhong Qiao. "An extended state-based peridynamic model for damage growth prediction of bimaterial structures under thermomechanical loading." Engineering Fracture Mechanics 189 (February 2018): 81–97. http://dx.doi.org/10.1016/j.engfracmech.2017.09.023.

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