Article
Engineering, Multidisciplinary
Semsi Rakici, Jinseok Kim
Summary: This study presents a new surface correction method for bond-based peridynamics that can discretely calculate the PD material parameters, effectively considering the effect of newly formed free surfaces during numerical simulations. The proposed method is shown to be more accurate in static and dynamic PD analyses by addressing missing neighbors and emerging boundaries during crack propagation, compared to existing surface correction methods.
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS
(2023)
Article
Mathematics
Zili Dai, Jinwei Xie, Zhitang Lu, Shiwei Qin, Lin Wang
Summary: The study introduces a dual-horizon peridynamics (DH-PD) model incorporating volume correction, surface correction, and nonuniformity discretization to enhance calculation accuracy and efficiency. Verification of the model reliability and calculation accuracy is done through simulations of concrete specimen fracture and double-edged notched specimen damage. Comparisons with experimental data, traditional PD model numerical solutions, and finite element model outputs validate the calculation accuracy of the corrected DH-PD model and its advantages over other models.
Article
Engineering, Multidisciplinary
Mehmet Hamarat, Sakdirat Kaewunruen
Summary: This paper proposes a novel approach based on the physical meaning of the bond network to evaluate damage in Peridynamic simulations and identify crack initiation and propagation. The commonly used nodal damage value is questioned for neglecting the relevance of broken bonds to cracks. The proposed method is shown to be robust, effective, and provide a single outcome for Peridynamic simulations.
APPLIED MATHEMATICAL MODELLING
(2023)
Article
Mechanics
Francisco Vieira, Joao Pagaimo, Hugo Magalhaes, Jorge Ambrosio, Aurelio Araujo
Summary: Peridynamics is a theory that can describe structural discontinuities, but its integration in the study of mechanical systems is limited. This work presents a methodology that combines peridynamics with multibody dynamics to integrate flexible structures described by peridynamics into mechanical systems, and successfully simulates complex phenomena.
MULTIBODY SYSTEM DYNAMICS
(2023)
Article
Mechanics
Myunghoon Oh, Bonyong Koo, Jae-Hyun Kim, Seonho Cho
Summary: This study proposes a crack control strategy based on peridynamics theory, which optimizes shape design to create or avoid cracks. The developed adjoint design sensitivity analysis method does not require a priori crack propagation path, making it suitable for dynamic crack propagation and branching.
ENGINEERING FRACTURE MECHANICS
(2021)
Article
Engineering, Multidisciplinary
Xianyang Guo, Zhuang Chen, Xihua Chu, Ji Wan
Summary: The proposed plane stress model of bond-based Cosserat peridynamics includes the implementation of constitutive equations for Cosserat continuum and considers couple stress in material point interaction. The model can degenerate into other peridynamic models under certain conditions and has an influence on crack propagation.
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS
(2021)
Article
Engineering, Marine
Shuang Li, Haining Lu, Xiaohua Huang, Jianmin Yang
Summary: Crack initiation and propagation in marine concrete are crucial for its security and durability in ocean construction. This study proposes an improved method that can accurately describe the fracture behavior of marine concrete, including quasi-brittle fracture. The validity and accuracy of the method are demonstrated through numerical analyses and experiments.
Article
Engineering, Mechanical
Wei Lu, Selda Oterkus, Erkan Oterkus, Dagang Zhang
Summary: A two-dimensional peridynamic contact model is proposed to simulate the propagation of frictional crack, contact constraint can be implemented without additional algorithm, and the geometry of the crack can be easily described. The contact force is only related to the stretch of the virtual bond between disconnected material points.
THEORETICAL AND APPLIED FRACTURE MECHANICS
(2021)
Article
Mechanics
Gwanghyun Jo, Youn Doh Ha
Summary: In this paper, we introduce a two-grid based sequential analysis algorithm for implicit peridynamics to find quasi-static solutions for crack propagation problems. The algorithm is capable of studying quasi-static fracturing of brittle materials and enhances computational efficiency by using a coarse grid to find the equilibrium path and properly prolongating the converged solution to a fine grid.
ENGINEERING FRACTURE MECHANICS
(2022)
Article
Engineering, Multidisciplinary
Yang Xia, Xianghui Meng, Guozhe Shen, Guojun Zheng, Ping Hu
Summary: In this paper, a coupling model of Isogeometric analysis (IGA) and bond-based Peridynamics (PD) is proposed to provide a solution to crack problems in models with exact geometry. The coupling method combines the advantages of non-local continuum theory, improving precision and computational efficiency in crack problem calculations. Examples are provided to demonstrate the effectiveness of the proposed IGA-PD method.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2021)
Article
Mechanics
Zhuang Chen, Xihua Chu, Qinglin Duan
Summary: This study proposes a micromorphic peridynamic model based on the micromorphic theory and the bond-based peridynamic model. The model considers the effect of microstructure on deformation and can describe the deformation of the microstructure. The study finds that the micromorphic parameters have a certain impact on the local damage initiation during crack propagation, but have a weak influence on the main trajectory of the crack.
ENGINEERING FRACTURE MECHANICS
(2022)
Article
Mechanics
Zhuang Chen, Diansen Yang, Hanbing Bian
Summary: This paper presents a peridynamic hydrogen embrittlement model that is capable of simulating hydrogen diffusion and hydrogen embrittlement phenomena. The effectiveness of the model is validated through numerical examples and compared to other models and experiments. The influence of hydrogen diffusion time steps and grain boundary diffusion coefficients on hydrogen-assisted crack propagation is also investigated.
ENGINEERING FRACTURE MECHANICS
(2023)
Article
Mechanics
Xiaochuan Ma, Yajie Wang, Xianghe Wang, Weibin Yin, Linya Liu, Jingmang Xu
Summary: Fatigue crack propagation in rails is a significant issue for railway maintenance cost and operating safety. Studying the fatigue crack propagation rules of different rail materials provides scientific guidance for rail selection and maintenance plans. By conducting fatigue crack propagation tests on U71Mn and U75V rails, fracture criteria were established and verified. A peridynamic model was used to analyze the crack propagation process in the two types of rails. Simulation results showed that U71Mn rail, with a lower crack propagation rate than U75V rail, is more suitable for high-speed railways. The rate of crack propagation increases with wheel load and wheel-rail friction coefficient. Measures like improving track regularity and lubrication could be taken to reduce wheel-rail impact and friction coefficient to prolong rail service life.
ENGINEERING FRACTURE MECHANICS
(2023)
Article
Chemistry, Physical
Sansit Patnaik, Fabio Semperlotti
Summary: This study introduces a theoretical framework based on variable-order mechanics for modeling dynamic fracture. The formulation utilizes variable and fractional-order operators to accurately capture features of dynamic crack propagation.
NPJ COMPUTATIONAL MATERIALS
(2021)
Article
Chemistry, Multidisciplinary
Zhichuang Shi, Jinchao Yue, Lingling Xu, Xiaofeng Wang
Summary: By analyzing a two-dimensional asphalt pavement model, this study explores the influence of asphalt overlay thickness, load form, and friction on reflective crack propagation. The results show that increasing the thickness of the asphalt overlay inhibits reflective crack propagation, and the direction of friction also affects the propagation of reflective cracks.
APPLIED SCIENCES-BASEL
(2022)
Article
Mathematics, Interdisciplinary Applications
R. Alebrahim, P. Packo, M. Zaccariotto, U. Galvanetto
Summary: This study investigates a novel method for improving the simulation of wave propagation in Peridynamic (PD) media by computing dispersion properties and setting up an optimization problem through inverse analysis. Various weighted residual techniques are adopted to modify wave dispersion and significant improvements are found in both 1-D and 2-D PD models.
COMPUTATIONAL PARTICLE MECHANICS
(2022)
Article
Mathematics, Interdisciplinary Applications
Francesco Scabbia, Mirco Zaccariotto, Ugo Galvanetto
Summary: Peridynamics is a non-local continuum theory that can model discontinuities in the displacement field of solid bodies. However, the non-local nature of the theory leads to an undesired stiffness fluctuation near the boundaries, known as surface effect. Currently, there is no standard method to impose boundary conditions in a non-local model. To mitigate the surface effect and impose boundary conditions, a method is proposed to introduce a layer of fictitious nodes and use Taylor series expansions.
COMPUTATIONAL MECHANICS
(2022)
Article
Computer Science, Interdisciplinary Applications
Zahra Shafiei, Saeid Sarrami, Mojtaba Azhari, Ugo Galvanetto, Mirco Zaccariotto
Summary: In this article, peridynamic and finite strip sub-regions are coupled for the first time to solve plate problems. Static cases with and without cracks are investigated and a comprehensive parametric study is performed. Examples involving non-uniform load conditions, plate with a hole and crack propagation are also studied.
ENGINEERING WITH COMPUTERS
(2023)
Article
Engineering, Mechanical
Alessandro Francesconi, Cinzia Giacomuzzo, Lorenzo Olivieri, Giulia Sarego, Andrea Valmorbida, Matteo Duzzi, Karl Dietrich Bunte, Esfandiar Farahvashi, Tiziana Cardone, Don de Wilde
Summary: This paper presents a numerical simulation study of hypervelocity collisions involving the ESA LOFT spacecraft, focusing on the impact of increasing kinetic energy of impactors on collision severity in different scenarios. The simulations show that the energy-to-mass ratio of the impactor, impact point, and size of the impactor play significant roles in determining the severity of the collision event.
INTERNATIONAL JOURNAL OF IMPACT ENGINEERING
(2022)
Article
Computer Science, Interdisciplinary Applications
Francesco Scabbia, Mirco Zaccariotto, Ugo Galvanetto
Summary: The peridynamic theory is a nonlocal formulation of continuum mechanics that deals with fracture in solid bodies. It evaluates the forces on each material point as the integral of nonlocal interactions with neighboring points. To improve the accuracy and convergence behavior of the numerical integration, an innovative algorithm has been developed to accurately compute the quadrature weights in 3D peridynamics. The new algorithm shows evident improvement in result accuracy and convergence behavior compared to the most common algorithm.
ENGINEERING WITH COMPUTERS
(2023)
Article
Mechanics
Tao Ni, Mirco Zaccariotto, Xuanmei Fan, Qizhi Zhu, Bernhard A. Schrefler, Ugo Galvanetto
Summary: An extended bond-based peridynamic (XBB-PD) model was developed to describe the mechanical behavior of solids with arbitrary Poisson's ratio values, taking both the bond longitudinal and tangential deformations into account. In this study, a peridynamic differential operator based implementation scheme is presented for the XBB-PD model. An energy-based failure criterion is introduced to describe failure and crack propagation in brittle solids. The proposed approach is validated through elastic examples and numerical simulations of crack propagation problems, showing good agreement with reference results.
EUROPEAN JOURNAL OF MECHANICS A-SOLIDS
(2023)
Article
Multidisciplinary Sciences
Tao Ni, Mirco Zaccariotto, Ugo Galvanetto
Summary: This article proposes a numerical tool based on bond-based peridynamics for simulating fatigue crack propagation in composite materials and structures. The proposed approach is validated through several benchmark cases and is capable of simulating static and fatigue crack propagations in composite systems with good characteristics.
PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES
(2023)
Article
Polymer Science
Kun Zhang, Tao Ni, Jin Zhang, Wen Wang, Xi Chen, Mirco Zaccariotto, Wei Yin, Shengxue Zhu, Ugo Galvanetto
Summary: In this study, three-point bending tests were conducted on notched beam structures made of polyvinyl alcohol (PVA) fiber-reinforced ultra-high-performance concrete (UHPC) to investigate the fracture characteristics of UHPC-PVAs with different volume fractions of PVA fibers. Additionally, a hybrid finite element and extended bond-based peridynamic numerical modeling approach was proposed to analyze the fracture behaviors of the UHPC-PVA structures in 3D. The results from both experiments and simulations showed that increasing the volume fraction of PVA fibers linearly increased the strength of UHPC-PVAs.
Article
Polymer Science
Greta Ongaro, Alessandro Pontefisso, Elena Zeni, Francesco Lanero, Alessia Famengo, Federico Zorzi, Mirco Zaccariotto, Ugo Galvanetto, Pietro Fiorentin, Renato Gobbo, Roberta Bertani, Paolo Sgarbossa
Summary: Two nanomicas with different particle size distributions were used to prepare transparent epoxy nanocomposites. The nanocomposites showed homogeneous dispersion and no aggregation of nanoparticles. Despite the good dispersion, no exfoliation or intercalation was observed. The nanocomposites exhibited a slight decrease in transparency and no significant change in thermal behavior. The mechanical characterization revealed an increased Young's modulus but reduced tensile strength. A peridynamics-based approach was implemented to estimate the effective Young's modulus and fracture toughness of the nanomodified materials, and the results were validated against experimental data. The mica-based composites showed high volume resistivity and could be used as insulating materials.
Article
Materials Science, Multidisciplinary
Mohammad Nasim, Ugo Galvanetto
Summary: This study used a previously developed ligamentous finite element neck model to predict the influence of passive and active muscles on neck compression responses. The validation results indicated a good biofidelity rating of the muscular system model. The inclusion of muscles in the computational neck model increased the lower neck compression and shear forces while reducing the upper neck forces, with the active state dynamics of the muscles playing a crucial role in the magnitude of the forces.
FORCES IN MECHANICS
(2023)
Article
Engineering, Multidisciplinary
Tao Ni, Xuanmei Fan, Jin Zhang, Mirco Zaccariotto, Ugo Galvanetto, Bernhard A. Schrefler
Summary: This paper presents an enhanced finite element formulation combined with the Peridynamic method for simulating thermo-hydro-mechanical coupled problems in saturated porous media with cracks. The proposed approach is validated through consolidation problems and numerical examples involving cracks, demonstrating its accuracy and reliability.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2023)
Article
Engineering, Multidisciplinary
Andrea Tessarin, Mirco Zaccariotto, Ugo Galvanetto, Domenico Stocchi
Summary: In this study, a multiscale modelling method based on numerical homogenization is proposed to simulate and predict the mechanical performance of parts manufactured using FFF. The effectiveness of the proposed models is validated through extensive experimental testing.
RESULTS IN ENGINEERING
(2022)
Article
Mechanics
Xiaolong Liu, Kelian Luo, Pengcheng Gao, Tao Cong, Xi Wang, Wenjing Wang
Summary: This paper investigates the formation mechanisms of the zig-zag crack region on the shattered rim of railway wheels. The zig-zag crack region, identified as a typical region for crack propagation in rolling contact fatigue behavior, was observed using scanning electron microscopy and transmission electron microscopy. The formation of the zig-zag morphology is attributed to the periodic deflection of the propagation path relative to the initial propagation plane, caused by the limited plastic deformation zone at the crack tip. Grain refinement and secondary cracks in the zig-zag crack region are a result of the large compressive and shear stresses induced by rolling contact loading.
ENGINEERING FRACTURE MECHANICS
(2024)
Article
Mechanics
Anastasia Iziumova, Aleksei Vshivkov, Ivan Panteleev, Virginia Mubassarova, Oleg Plekhov, Denis Davydov
Summary: The aim of this study was to investigate the correlation between structural, acoustic emission, and thermal characteristics of fatigue crack growth in titanium alloys. Cluster analysis of the acoustic emission signals revealed two different types of signals observed during the fatigue crack development. It was experimentally demonstrated that the stored energy tends to reach an asymptotic value at the final stage of fatigue crack growth and this is correlated with the twinning process intensification in titanium alloy Ti Grade 2. A correlation was assumed between the stages of change in heat flux, the cumulative energy of the first cluster of acoustic emission signals, and the crack length.
ENGINEERING FRACTURE MECHANICS
(2024)
Article
Mechanics
M. Vieira de Carvalho, I. A. Rodrigues Lopes, F. M. Andrade Pires
Summary: This study investigates the numerical challenges of fracture mechanics models within implicit quasi-static frameworks and proposes an instability criterion. The ratio of cohesive to internal power is identified as a crucial factor. Two strategies for handling fracture problems with instabilities are discussed and a comparative assessment is performed. The study also examines more complex material responses, including transformation-induced plasticity effects.
ENGINEERING FRACTURE MECHANICS
(2024)
Article
Mechanics
Thomas Duminy, Aurelien Doitrand, Sylvain Meille
Summary: This study conducted in situ wedge splitting tests on millimeter-size PMMA samples and proposed a method to determine the material tensile strength and critical energy release rate using digital image correlation and a full finite element implementation of the coupled criterion.
ENGINEERING FRACTURE MECHANICS
(2024)
Article
Mechanics
Xin Chang, Xingyi Wang, Chunhe Yang, Yintong Guo, Yanghui Wan
Summary: The influence of cyclic thermal shock and high-temperature acid etching on the Mode I fracture of shale was investigated in this study. It was found that cyclic thermal shock severely degrades the strength and fracture toughness of shale, while high-temperature acid etching treatment improves the fracture toughness. These findings are valuable for optimizing process parameters to reduce initiation pressure in deep shale formations.
ENGINEERING FRACTURE MECHANICS
(2024)
Article
Mechanics
Liaojun Yao, Mingyue Chuai, Zhangming Lyu, Xiangming Chen, Licheng Guo, R. C. Alderliesten
Summary: Methods based on fracture mechanics have been widely used in fatigue delamination growth (FDG) characterization of composite laminates. This study proposes appropriate similitude parameters to represent FDG behavior with different R-ratios.
ENGINEERING FRACTURE MECHANICS
(2024)
Article
Mechanics
Zesheng Zang, Zhonghui Li, Yue Niu, Shan Yin
Summary: This study conducted experiments and recorded signals to investigate the fracture behavior and damage evolution characteristics of coal samples. The results showed that as loading proceeds, the stress, electric potential (EP), and acoustic emission (AE) values increase, and EP and AE signals are excited when stress drops. The fracture behavior of coal samples is altered by flaw inclination, and the destruction mode becomes increasingly complicated. The damage evolution characteristics of coal samples can be evaluated and analyzed by defining the coefficient of variation (CV value) of EP and the b value of AE.
ENGINEERING FRACTURE MECHANICS
(2024)
Article
Mechanics
Clotilde Berdin, Nathalie Prud'homme
Summary: In this study, zirconia layers with different fractions of tetragonal phase and thicknesses were tested for multi-cracking behavior. Cracks perpendicular to the tensile direction were observed, showing a blunting effect into the substrate. The ratio of crack spacing at saturation to layer thickness decreased as the layer thickness increased. Unit cell modeling was used to establish a relationship between crack spacing and layer strength, which fell within the bounds of Hu and Evans model and was found to be insensitive to the tetragonal zirconia fraction.
ENGINEERING FRACTURE MECHANICS
(2024)
Article
Mechanics
Huadong Zhang, Weichen Kong, Y. H. Liu, Yuh J. Chao
Summary: Williams' series expansion crack tip solution in linear elasticity is modified to include a uniform crack face pressure. Practical methods to calculate T-stress from near crack tip stresses are outlined. The analytical results are consistent with numerical results.
ENGINEERING FRACTURE MECHANICS
(2024)
Article
Mechanics
Jiahao Kong, Haoyue Han, Tao Wang, Guangyan Huang, Zhuo Zhuang
Summary: This paper introduces a phase-field model for polymer foam materials by combining the phase-field method with the crushable foam model. The model is calibrated using experimental data and successfully simulates the fracture processes of polyurethane under different loading conditions. The study is important for the engineering applications of polymer foam materials.
ENGINEERING FRACTURE MECHANICS
(2024)