{"title":"Continuum-kinematics-based peridynamics and phase-field approximation of non-local dynamic fracture","authors":"Kai Partmann, Christian Wieners, Kerstin Weinberg","doi":"10.1007/s10704-023-00726-7","DOIUrl":"10.1007/s10704-023-00726-7","url":null,"abstract":"<div><p>In this work, two non-local approaches to dynamic fracture are investigated: a novel peridynamic formulation and a variational phase-field approach. The chosen continuum-kinematics-based peridynamic model extends the current peridynamic models by introducing surface and volume-based interactions. The phase-field fracture approach optimizes the body’s potential energy and provides a reliable method for predicting fracture in finite element computations. Both methods are able to efficiently compute crack propagation even when the cracks have arbitrary or complex patterns. We discuss the relations of critical fracture parameters in the two methods and show that our novel damage model for the continuum-kinematics-based peridynamics effectively manages fracture under dynamic loading conditions. Numerical examples demonstrate a good agreement between both methods in terms of crack propagation, fracture pattern, and in part, critical loading. We also show the limitations of the methods and discuss possible reasons for deviations.</p></div>","PeriodicalId":590,"journal":{"name":"International Journal of Fracture","volume":"244 1-2","pages":"187 - 200"},"PeriodicalIF":2.2,"publicationDate":"2023-07-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10704-023-00726-7.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"52227554","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Christer Stenström, Kjell Eriksson, Florin Bobaru, Stefan Golling, Pär Jonsén
{"title":"The essential work of fracture in peridynamics","authors":"Christer Stenström, Kjell Eriksson, Florin Bobaru, Stefan Golling, Pär Jonsén","doi":"10.1007/s10704-023-00705-y","DOIUrl":"10.1007/s10704-023-00705-y","url":null,"abstract":"<div><p>In this work, the essential work of fracture (EWF) method is introduced for a peridynamic (PD) material model to characterize fracture toughness of ductile materials. First, an analytical derivation for the path-independence of the PD <i>J</i>-integral is provided. Thereafter, the classical <i>J</i>-integral and PD <i>J</i>-integral are computed on a number of analytical crack problems, for subsequent investigation on how it performs under large scale yielding of thin sheets. To represent a highly nonlinear elastic behavior, a new adaptive bond stiffness calibration and a modified bond-damage model with gradual softening are proposed. The model is employed for two different materials: a lower-ductility bainitic-martensitic steel and a higher-ductility bainitic steel. Up to the start of the softening phase, the PD model recovers the experimentally obtained stress–strain response of both materials. Due to the high failure sensitivity on the presence of defects for the lower-ductility material, the PD model could not recover the experimentally obtained EWF values. For the higher-ductility bainitic material, the PD model was able to match very well the experimentally obtained EWF values. Moreover, the <i>J</i>-integral value obtained from the PD model, at the absolute maximum specimen load, matched the corresponding EWF value.</p></div>","PeriodicalId":590,"journal":{"name":"International Journal of Fracture","volume":"242 2","pages":"129 - 152"},"PeriodicalIF":2.5,"publicationDate":"2023-07-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10704-023-00705-y.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4420253","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Improved cohesive zone model: integrating strain rate, plastic strain, variable damping, and enhanced constitutive law for fracture propagation","authors":"Ala Tabiei, Li Meng","doi":"10.1007/s10704-023-00723-w","DOIUrl":"10.1007/s10704-023-00723-w","url":null,"abstract":"<div><p>Cohesive zone model has been used widely in fracture propagations, but few of them have considered strain rate, plastic strain, and variable damping together. In this paper, artificial compliance and spurious oscillation in bilinear cohesive law are investigated through dynamic simulations. Several constitutive laws and damage criteria used in bilinear cohesive law are presented first, and the properties in these constitutive laws are analyzed about deficiency of plastic strain, inherent discontinuity of constitutive law, and inherent discontinuity of force. Two damage evolution methods (effective separation method and damage factor method) are compared, and the latter one that strictly follows damage criterion and has no healing effect is a better choice for damage evolution. Numerical investigations are conducted to help select proper stiffness and to make sure artificial compliance in an acceptable range. Apart from strain rate and plastic strain, variable damping is considered into bilinear cohesive law, which can remove discontinuous force caused by constant damping at the start and end of bilinear cohesive law. One fixed delamination propagation and two free fracture propagation examples are used to verify the methodology proposed in this paper. From the simulation results, the methodology used in this paper removes spurious oscillation caused by constitutive law itself and enables correct force response, and variable damping reduces spurious oscillation.</p></div>","PeriodicalId":590,"journal":{"name":"International Journal of Fracture","volume":"244 1-2","pages":"125 - 148"},"PeriodicalIF":2.2,"publicationDate":"2023-07-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44611198","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Experimental investigation of the alternate recurrence of quasi-static and dynamic crack propagation in PMMA","authors":"Raphael Heinzmann, Rian Seghir, Syed Yasir Alam, Julien Réthoré","doi":"10.1007/s10704-023-00717-8","DOIUrl":"10.1007/s10704-023-00717-8","url":null,"abstract":"<div><p>The alternate (stick-slip) cracking phenomenon in Poly(methyl methacrylate) (PMMA) was investigated using high-speed imaging and digital image correlation (DIC). PMMA is known to show a great variety of fracture behaviors by even small changes in loading conditions. With TDCB-shaped samples and under a range of constant extension rates, the phenomenon of alternate cracking is observed. Here, loops of successive quasi-static and dynamic crack propagation are found within a single fracture experiment suggesting a ‘forbidden’ velocity regime. For the first time, such material/structural cyclic fracture behavior is examined through the lens of linear elastic fracture mechanics (LEFM) by using in-situ High-Speed (HS) DIC. Energy release rates and crack velocities during fracture experiments are derived from full-field measurements using Williams’ series expansion. Fracture surfaces of post-mortem samples have been systematically analyzed using optical microscopy. The investigation of the actual limits of the ‘forbidden’ velocity regime in terms of critical velocity and energy release rate in relation to post-mortem crack length features is achieved by holistic experimental data on alternate cracking. This work provides key experimental data regarding the improved understanding of a unified theoretical framework of crack instabilities.</p></div>","PeriodicalId":590,"journal":{"name":"International Journal of Fracture","volume":"242 2","pages":"227 - 245"},"PeriodicalIF":2.5,"publicationDate":"2023-07-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4215265","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Discrete element model for powder grain interactions under high compressive stress","authors":"Stewart A. Silling","doi":"10.1007/s10704-023-00724-9","DOIUrl":"10.1007/s10704-023-00724-9","url":null,"abstract":"<div><p>A reduced order, nonlocal model is proposed for the contact force between initially spherical particles under compression. The model in effect provides the normal component of the interaction force between elements in the discrete element method (DEM). It is applicable to high relative density and large stress in powder compaction. It takes into account the mutual interaction between multiple points of contact, in contrast to the usual assumption in DEM of pair interactions. The mathematical form of the model is derived from a variational formulation that leads to the momentum balance for the forces on each grain. The model is calibrated mainly using detailed three dimensional peridynamic simulations of single grains under compressive loading by rigid plates that move radially with prescribed velocity. This calibration takes into account the large deformation and fracture of the grains. The interaction model also includes terms for the unloading behavior and adhesion. As validation, the model is applied to test data on the compaction of microcrystalline cellulose bulk powder.</p></div>","PeriodicalId":590,"journal":{"name":"International Journal of Fracture","volume":"244 1-2","pages":"149 - 162"},"PeriodicalIF":2.2,"publicationDate":"2023-07-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45068121","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Sooyeon Lee, Suyeon Kang, Jubi Heo, Yeojin Hong, Thi Hao Vu, Anh Duc Truong, Hyun S Lillehoj, Yeong Ho Hong
{"title":"MicroRNA expression profiling in the lungs of genetically different Ri chicken lines against the highly pathogenic avian influenza H5N1 virus.","authors":"Sooyeon Lee, Suyeon Kang, Jubi Heo, Yeojin Hong, Thi Hao Vu, Anh Duc Truong, Hyun S Lillehoj, Yeong Ho Hong","doi":"10.5187/jast.2022.e127","DOIUrl":"10.5187/jast.2022.e127","url":null,"abstract":"<p><p>The highly pathogenic avian influenza (HPAI) virus triggers infectious diseases, resulting in pulmonary damage and high mortality in domestic poultry worldwide. This study aimed to analyze miRNA expression profiles after infection with the HPAI H5N1 virus in resistant and susceptible lines of Ri chickens.For this purpose, resistant and susceptible lines of Vietnamese Ri chicken were used based on the A/G allele of <i>Mx</i> and <i>BF2</i> genes. These genes are responsible for innate antiviral activity and were selected to determine differentially expressed (DE) miRNAs in HPAI-infected chicken lines using small RNA sequencing. A total of 44 miRNAs were DE after 3 days of infection with the H5N1 virus. Computational program analysis indicated the candidate target genes for DE miRNAs to possess significant functions related to cytokines, chemokines, MAPK signaling pathway, ErBb signaling pathway, and Wnt signaling pathway. Several DE miRNA-mRNA matches were suggested to play crucial roles in mediating immune functions against viral evasion. These results revealed the potential regulatory roles of miRNAs in the immune response of the two Ri chicken lines against HPAI H5N1 virus infection in the lungs.</p>","PeriodicalId":590,"journal":{"name":"International Journal of Fracture","volume":"2 4","pages":"838-855"},"PeriodicalIF":2.3,"publicationDate":"2023-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10640957/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72464539","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"A coupled axisymmetric peridynamics with correspondence material model for thermoplastic and ductile fracture problems","authors":"Hanbo Zhang, Jingyan Li, Hui Li, Hongfei Ye, Hongwu Zhang, Yonggang Zheng","doi":"10.1007/s10704-023-00721-y","DOIUrl":"10.1007/s10704-023-00721-y","url":null,"abstract":"<div><p>A coupled axisymmetric peridynamics with correspondence material model (CA-PD-CMM) is proposed in this work to predict the heat conduction, plastic and fracture behaviors of metals. In this model, the governing equations of axisymmetric thermo-mechanical problems are derived based on the Euler–Lagrange equation and the separation of the deformations along the in- and out-of-plane directions. The force state and heat flux state are given by the PD linearized theory. The theory of continuum damage mechanics is incorporated into the CA-PD-CMM to effectively describe the ductile damage behaviors. Moreover, a secant line technique based on the uniaxial tensile test curve is developed to obtain temperature-dependent parameters of the damage model. Finally, the validity and performance of the proposed CA-PD-CMM are demonstrated by several representative numerical examples.</p></div>","PeriodicalId":590,"journal":{"name":"International Journal of Fracture","volume":"244 1-2","pages":"85 - 111"},"PeriodicalIF":2.2,"publicationDate":"2023-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41875383","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"A phase-field-cohesive-zone framework to simulate multiple failure mechanisms of elastoplastic fiber-reinforced composites","authors":"Zhaoyang Hu, Xufei Suo, Minjuan Wang, Feng Jiang, Hao Huang, Yongxing Shen","doi":"10.1007/s10704-023-00712-z","DOIUrl":"10.1007/s10704-023-00712-z","url":null,"abstract":"<div><p>The mechanical properties of metal matrix fiber-reinforced composites depend on many aspects of their structure in a complicated way. In this paper, we propose a phase-field-cohesive-zone framework to study interface debonding, matrix cracking, and their competition in metal matrix fiber-reinforced elastoplastic composites by numerical simulation. This approach combines an explicit cohesive zone model for interface debonding and a phase field model for matrix cracking. The features of this framework are: (1) crack propagation and branching can be simulated without the need to track the cracks; (2) the interface debonding is described by the cohesive zone model, and is not directly interfered by the phase field in the bulk; (3) the cohesive interface has zero thickness instead of being regularized; (4) any reasonable cohesive law of interest is readily incorporated with very few constraints; (5) the competition of the two failure mechanisms, namely, matrix cracking and interface debonding, is captured. Accuracy of this framework is verified with existing analytical and numerical results. The proposed framework shows a potential in investigating various complicated crack behaviors in composites.</p></div>","PeriodicalId":590,"journal":{"name":"International Journal of Fracture","volume":"244 1-2","pages":"43 - 59"},"PeriodicalIF":2.2,"publicationDate":"2023-06-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44278208","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Accurate predictions of dynamic fracture in perforated plates","authors":"Xuhao Peng, Ziguang Chen, Florin Bobaru","doi":"10.1007/s10704-023-00719-6","DOIUrl":"10.1007/s10704-023-00719-6","url":null,"abstract":"<div><p>Dynamic brittle facture in materials with many pores/perforations has been shown experimentally to feature complex evolution of crack morphologies that include crack branching, micro-branches that arrest, cracks restarting from pores and branching soon after. Computational models of these problems need to accurately account for the dynamic interactions between strain waves and stress concentration zones induced by the perforated geometry. In this paper, we aim to improve the predictive capabilities of computational simulations of dynamic brittle/quasi-brittle fracture in samples with complex geometries, like perforated plates, by introducing a discretization method using non-uniform grids near a boundary (NB-NUG) for 2D peridynamic fracture modeling. The NB-NUG avoids the steps and the corresponding artificial stress concentrations created in PD models when using uniform grids over domains with curved boundaries. The new method also reduces numerical errors compared with general non-uniform grids used for PD models. We apply the model for dynamic fracture of thin PMMA plates with different arrangements of periodic pores/perforations. The results match the experimental observations for all of the cases considered. Fine features observed in the experiments (multiple cracks branching and cracks that arrest soon after splitting, number of branching events, etc.) are captured by the new approach and not by the other PD models with different types of grids. The results show that the high strain energy density regions created around perforations attract a nearby crack tip, deflecting the crack path, altering its propagation velocity, and promoting crack branching in its wake, thus dissipating more energy. Nonlocality of damage helps here in allowing its unrestricted evolution in problems in which complex crack morphology is sensitive to small changes in the geometrical arrangement of pores in the structure.</p></div>","PeriodicalId":590,"journal":{"name":"International Journal of Fracture","volume":"244 1-2","pages":"61 - 84"},"PeriodicalIF":2.2,"publicationDate":"2023-06-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43705751","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Non-uniform spacing of transverse cracks in symmetric composite laminates","authors":"Z. Karoui, J. Berthe, C. Maurini","doi":"10.1007/s10704-023-00715-w","DOIUrl":"10.1007/s10704-023-00715-w","url":null,"abstract":"<div><p>We study multiple transverse cracking of symmetric laminates in the framework of the variational approach to fracture. Considering the Griffith model, we assume that several cracks can appear instantaneously through the whole thickness of the core layer, separating the bar in <i>n</i> elastic segments. We show that the energy minimization implies the bifurcation from solutions with uniform crack spacing to non uniformly spaced solutions, a phenomenon ignored in the literature for perfect systems. The stability of uniformly spaced solutions crucially depends on the concavity of the elastic compliance of each elastic segment as a function of the segment length. We compute this function and its derivatives numerically with domain-derivative techniques for a large set of geometric and material parameters. Our results indicate that the change of concavity and the related instability is a robust qualitative property that becomes quantitatively relevant in the case of laminates with thin and soft outer layers.</p></div>","PeriodicalId":590,"journal":{"name":"International Journal of Fracture","volume":"242 2","pages":"191 - 206"},"PeriodicalIF":2.5,"publicationDate":"2023-06-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"5048610","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}