Mechanics of MaterialsPub Date : 2026-01-01Epub Date: 2025-11-07DOI: 10.1016/j.mechmat.2025.105542
Geetanjali Geetanjali , Pawan Kumar Sharma
{"title":"Fractional order strain and viscosity in the Moore–Gibson–Thompson thermoelastic diffusion model: A study of transient responses in one-dimensional half-space","authors":"Geetanjali Geetanjali , Pawan Kumar Sharma","doi":"10.1016/j.mechmat.2025.105542","DOIUrl":"10.1016/j.mechmat.2025.105542","url":null,"abstract":"<div><div>In the mathematical modeling of viscoelastic materials such as biological tissues, polycrystalline metals, and high polymers, fractional order strain is widely adopted to highlight their rheological properties. Moreover, models incorporating fractional calculus provide more rational results. In this light, we consider fractional Moore–Gibson–Thompson model of generalized visco-thermoelastic-diffusion to study the transient responses of a one dimensional half space. The novelty of the present work lies in considering fractional order strain and fractional viscosity in the considered framework. Initially, the medium is kept at rest and at the boundary, thermal shock is applied in a stress free state. The basic equations and relations governing the problem are non-dimensionalized and solved in a Laplace transformed domain using the boundary restrictions. The solution of the problem is obtained in the original domain via a numerical inversion technique. This work aims to underline the impact of different models, fractional order strain, and viscosity parameters on physical quantities. Graphical representation of the results elucidates that fractional viscosity softens the stiffness in the distribution of field variables and fractional order strain eliminates the sudden increment in their peak points. Also, different models have varying degree of influence on all the field variables.</div></div>","PeriodicalId":18296,"journal":{"name":"Mechanics of Materials","volume":"212 ","pages":"Article 105542"},"PeriodicalIF":4.1,"publicationDate":"2026-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145526292","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Mechanics of MaterialsPub Date : 2026-01-01Epub Date: 2025-09-25DOI: 10.1016/j.mechmat.2025.105511
Bibiana Luccioni , Paula Argañaraz , Facundo Isla
{"title":"Numerical modelling of the dynamic pull-out of steel fibers from cementitious materials","authors":"Bibiana Luccioni , Paula Argañaraz , Facundo Isla","doi":"10.1016/j.mechmat.2025.105511","DOIUrl":"10.1016/j.mechmat.2025.105511","url":null,"abstract":"<div><div>Since fiber pull-out is the main reason for the toughness of fiber-reinforced cementitious composites, it is important to properly simulate this mechanism in dynamic models for this type of materials. Available experimental results show that the pull-out response of steel fibers embedded in concrete matrices exhibits sensitivity to the loading rate. This paper presents a model for the dynamic pull-out of steel fibers from cementitious composites. The model takes into account inertia effects and rate effects that influence the forces at the fiber-matrix interface, matrix micro cracking, mechanical anchorage and snubbing effects. The tangential stresses at the interface are calibrated based on experimental results obtained from pull-out tests of straight fibers performed at different loading rates, from quasi-static loading to impact loading, for different types of concrete matrix, including ultrahigh performance concrete (UHPC). The paper is complemented by the simulation of the pull-out of hooked end fibers at different loading rates and inclinations. The comparison with experimental results shows that the developed pull-out model is able to simulate the dynamic pull-out of steel fibers with different geometries and orientations from different types of concrete matrices. The inertia effects are negligible compared to the contribution of the other mechanisms to the pull-out response and to the effects due to the strain rate dependence of the fiber-matrix interface parameters.</div></div>","PeriodicalId":18296,"journal":{"name":"Mechanics of Materials","volume":"212 ","pages":"Article 105511"},"PeriodicalIF":4.1,"publicationDate":"2026-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145236071","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Mechanics of MaterialsPub Date : 2026-01-01Epub Date: 2025-09-30DOI: 10.1016/j.mechmat.2025.105514
Liqun Lou , Peijian Chen , Hao Liu , Guangjian Peng , Juan Peng
{"title":"Investigating the interfacial behavior of van der Waals heterostructures with nano-inclusions: Molecular dynamics simulation and theoretical analysis","authors":"Liqun Lou , Peijian Chen , Hao Liu , Guangjian Peng , Juan Peng","doi":"10.1016/j.mechmat.2025.105514","DOIUrl":"10.1016/j.mechmat.2025.105514","url":null,"abstract":"<div><div>Interfacial properties of van der Waals (vdW) heterostructures are of crucial significance for precision instruments, microelectronics, mechanical and electrical engineering and so on. However, the lack of study on interfacial response of vdW heterostructures with nanoparticle greatly hinders the reliability and stability of various novel devices. Herein, we perform theoretical analysis and molecular dynamics simulation to explore the configuration and cohesive energy of vdW heterostructures with nano-inclusions. It is found that our proposed model functions well to predict morphologies of vdW heterostructure at the equilibrium state. The parameters dominating the formed morphology of vdW heterostructures are clarified. What is more, the interfacial behavior of vdW heterostructures can be modified by tuning the size, number, aggregation and interfacial interactions of nano-inclusions. The results should be helpful for not only improving the knowledge of surface/interface mechanics, but also guiding applications of two-dimensional materials and the corresponding vdW heterostructures.</div></div>","PeriodicalId":18296,"journal":{"name":"Mechanics of Materials","volume":"212 ","pages":"Article 105514"},"PeriodicalIF":4.1,"publicationDate":"2026-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145271495","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Mechanics of MaterialsPub Date : 2026-01-01Epub Date: 2025-10-14DOI: 10.1016/j.mechmat.2025.105527
Yubo Hou , Adel Noori , Kairan Zhang , Yuhan Zheng , Hao Wang , Yubin Lu
{"title":"Micromechanical modeling and property prediction of bamboo with gradient random vascular bundles","authors":"Yubo Hou , Adel Noori , Kairan Zhang , Yuhan Zheng , Hao Wang , Yubin Lu","doi":"10.1016/j.mechmat.2025.105527","DOIUrl":"10.1016/j.mechmat.2025.105527","url":null,"abstract":"<div><div>Bamboo has gained significant attention in sustainable buildings for its rapid growth rate and impressive mechanical properties comparable to wood. The volume fraction and gradient arrangement of vascular bundles directly influence the mechanical properties of bamboo. This paper proposes a novel gradient random distribution method, which can accurately restore the gradient distribution of bamboo vascular bundles along the radial direction of the culm wall. The aim is to uncover the relationship between the gradient distribution pattern of vascular bundles and the mechanical properties. The gradient random distribution method helps to transform the uniform random Representative Volume Element model into a gradient random distribution numerical model using the concept of coordinate transformation. The comparative analysis was conducted between the uniform random distribution method and the gradient random distribution method to predict the effective elastic properties of bamboo vascular bundles. The results indicated that elastic modulus and shear modulus of bamboo exhibit an exponential increase from the inner to the outer layers along the radial direction of the culm wall. Larger fiber spacing can slightly decrease the corresponding shear modulus. Moreover, the gradient random distribution method is capable of predicting accurately the elastic stiffness properties of full-sized bamboo culm compared to the uniform random distribution method.</div></div>","PeriodicalId":18296,"journal":{"name":"Mechanics of Materials","volume":"212 ","pages":"Article 105527"},"PeriodicalIF":4.1,"publicationDate":"2026-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145326536","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Mechanics of MaterialsPub Date : 2025-12-01Epub Date: 2025-09-23DOI: 10.1016/j.mechmat.2025.105508
Shiwen Feng , Q.M. Li
{"title":"Statistics of maximum stress for elastic wave propagation in a random porous solid","authors":"Shiwen Feng , Q.M. Li","doi":"10.1016/j.mechmat.2025.105508","DOIUrl":"10.1016/j.mechmat.2025.105508","url":null,"abstract":"<div><div>The stochastic characteristics of elastic wave scattering in random porous solids lead to the complexity and uncertainty for the determination of local maximum stress. There are limited studies to predict and estimate the maximum stress in such medium mainly due to the lack of efficient and accurate modeling tools. In order to address this issue, this work presents a new approach to quantify the statistics of maximum stress induced by multiple wave scattering effects in such medium. By combining the high-fidelity finite element method with Monte Carlo simulation, this work provides a comprehensive framework for evaluating the mean, standard deviation and probability distribution of maximum stress in random porous solids. It is demonstrated that the mean and standard deviation of maximum stress depend highly on the wave frequency and the correlations among cavities. The probability density function of maximum stress is analytically formulated by Burr Ⅻ distribution where the wave frequency and the correlation among cavities are taken into account jointly. The related parameters involved in the statistical distribution are estimated by maximum likelihood method and the Kolmogorov-Smirnov test is adopted to examine the goodness of fitting distribution. The heavy-tailed behavior observed in the statistical distribution is elaborated by linking to the interaction effects of waves with random microstructures, which is crucial for the dynamic failure assessment of porous solids. Finally, the dynamic stress concentration associated with maximum stress in random porous solid is investigated, which potentially relates to the scatterer resonance effects. This work facilitates the understanding of wave-induced dynamic stress in heterogeneous media, providing a statistical approach for dynamic failure assessment in random porous solids.</div></div>","PeriodicalId":18296,"journal":{"name":"Mechanics of Materials","volume":"211 ","pages":"Article 105508"},"PeriodicalIF":4.1,"publicationDate":"2025-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145155839","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Mechanics of MaterialsPub Date : 2025-12-01Epub Date: 2025-09-10DOI: 10.1016/j.mechmat.2025.105479
Akhilesh Pedgaonkar , Anderson Nascimento , Irene J. Beyerlein , Curt A. Bronkhorst
{"title":"Thermo-mechanical experiments for deformation twinning in high-purity titanium","authors":"Akhilesh Pedgaonkar , Anderson Nascimento , Irene J. Beyerlein , Curt A. Bronkhorst","doi":"10.1016/j.mechmat.2025.105479","DOIUrl":"10.1016/j.mechmat.2025.105479","url":null,"abstract":"<div><div>We present thermomechanical experiments with high-resolution Electron Back Scatter Diffraction (EBSD) maps to study deformation twinning in high-purity <span><math><mi>α</mi></math></span> titanium. The experiments were simple compression tests conducted at room temperature (<span><math><mrow><mn>23</mn><mspace></mspace><mo>°</mo><mi>C</mi></mrow></math></span>) and cold temperature (<span><math><mrow><mo>−</mo><mn>45</mn><mspace></mspace><mo>°</mo><mi>C</mi></mrow></math></span> to <span><math><mrow><mo>−</mo><mn>60</mn><mspace></mspace><mo>°</mo><mi>C</mi></mrow></math></span>). Large strain experiments (strain <span><math><mrow><mi>ɛ</mi><mo>=</mo><mn>0</mn><mo>.</mo><mn>4</mn></mrow></math></span>) were conducted to understand the overall thermo-mechanical response of the material. Small-strain experiments (strain <span><math><mrow><mi>ɛ</mi><mo>=</mo><mn>0</mn><mo>.</mo><mn>03</mn></mrow></math></span> to 0.05) were conducted and analyzed with EBSD to study the nucleation and evolution of deformation twins. We observed that the twin area fraction increases with strain for both room and cold temperature samples, but the mechanisms are distinct at small strains. Thickening of twins is prominent at room temperature, whereas the formation of new twins is prominent at cold temperatures. The twinning analysis also reveals that Basinski-type hardening has a significant impact on the early-stage hardening. There is also some evidence to suggest that more twins nucleate inside the grains rather than at the grain boundaries at colder temperatures. This work aims to provide a dataset for validating crystal plasticity models for deformation twinning in titanium.</div></div>","PeriodicalId":18296,"journal":{"name":"Mechanics of Materials","volume":"211 ","pages":"Article 105479"},"PeriodicalIF":4.1,"publicationDate":"2025-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145047493","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Mechanics of MaterialsPub Date : 2025-12-01Epub Date: 2025-09-10DOI: 10.1016/j.mechmat.2025.105499
Mohammad Mahdi Touiserkani, Mahdi Heydari-Meybodi
{"title":"Out-of-plane fracture in plane strain conditions: A novel criterion with analytical and experimental evaluation in thick PUR foam","authors":"Mohammad Mahdi Touiserkani, Mahdi Heydari-Meybodi","doi":"10.1016/j.mechmat.2025.105499","DOIUrl":"10.1016/j.mechmat.2025.105499","url":null,"abstract":"<div><div>The brittle fracture of thick polyurethane (PUR) foam is investigated in this study through both experimental and theoretical approaches under out-of-plane, Mixed-Mode I/III, loading conditions. Experimental tests are conducted on Edge-Notched Disc Bend (ENDB) samples to collect some new fracture data for predicting the Mixed-Mode I/III fracture behavior of rigid PUR foam. Additionally, the fracture toughness values are determined using finite element analysis. Theoretical predictions are then made using a new modification of the Maximum Principal Stress (MPS) criterion, termed ECD-MPS. Indeed, the Effective Critical Distance (ECD) concept is incorporated into the conventional MPS criterion in plane strain conditions, highlighting that the critical distance is influenced by both the material properties and fracture modes. A comparative analysis of experimental and theoretical results demonstrates that the ECD-MPS criterion provides high accuracy in predicting out-of-plane fracture. To further validate the findings, the results of ECD-MPS criterion are compared with those from two other fracture criteria: the classical MPS and Strain Energy Density (SED). Moreover, the validity of new criterion is further supported by its alignment with experimental findings from previous research.</div></div>","PeriodicalId":18296,"journal":{"name":"Mechanics of Materials","volume":"211 ","pages":"Article 105499"},"PeriodicalIF":4.1,"publicationDate":"2025-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145061172","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Mechanics of MaterialsPub Date : 2025-12-01Epub Date: 2025-08-20DOI: 10.1016/j.mechmat.2025.105474
Mojtaba Adaei-Khafri, Mohammad Javad Ashrafi, Fathollah Taheri-Behrooz
{"title":"Phase-field modeling of multivariant martensitic phase transition in nanoscale NiTi shape memory alloys using strain-based Landau free energy","authors":"Mojtaba Adaei-Khafri, Mohammad Javad Ashrafi, Fathollah Taheri-Behrooz","doi":"10.1016/j.mechmat.2025.105474","DOIUrl":"10.1016/j.mechmat.2025.105474","url":null,"abstract":"<div><div>In this study, we employ the thermodynamically consistent three-dimensional Landau model and extend it to investigate the B2 (cubic)–to–B19′ (monoclinic) phase transition in NiTi shape memory alloys at the nanoscale. The model describes transformations between austenite and martensitic variants, as well as transformations between martensitic variants. We derive the elasticity and phase-field coupling equations for multiple martensite phases and solve two-dimensional problems using the finite element method implemented in COMSOL software. A key novelty of this work is the utilization of the internal strain energy function of the NiTi phase transformation to apply the thermodynamic conditions of phase transformation to calculate the coefficients in the energy equations, ensuring accurate and physically meaningful material parameters for the phase-field model. We evaluate and validate the energy, width, and interface velocity for both stress- and temperature-induced phase transformations against existing research and analytical methods. Numerical results for martensitic variants phase transformations under stress- and temperature-induced conditions with different boundary conditions are presented and analyzed. The results demonstrate variations in phase propagation and final stable phase configurations, providing insights into the nanoscale behavior of NiTi shape memory alloys. The findings, obtained through derived coefficients and simulations, demonstrate that NiTi exhibits superior transformation kinetics compared to NiAl, attributed to its lower energy barrier, thermoelastic behavior, and faster phase transformation and growth. These conclusions are supported by both simulation results and existing literature.</div></div>","PeriodicalId":18296,"journal":{"name":"Mechanics of Materials","volume":"211 ","pages":"Article 105474"},"PeriodicalIF":4.1,"publicationDate":"2025-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145047492","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Mechanics of MaterialsPub Date : 2025-12-01Epub Date: 2025-08-26DOI: 10.1016/j.mechmat.2025.105481
Y. Boim , A. Shirizly , D. Rittel
{"title":"The influence of material ductility on the dynamic fracture of 3D-printed PH15-5 steel lattices","authors":"Y. Boim , A. Shirizly , D. Rittel","doi":"10.1016/j.mechmat.2025.105481","DOIUrl":"10.1016/j.mechmat.2025.105481","url":null,"abstract":"<div><div>This study focuses on the fracture mechanics of notched lattice structures under mode I and II impact conditions and examines the influence of material ductility on their failure mechanisms. Lattice specimens, made of PH15-5 stainless steel, were additively manufactured using laser-powder bed fusion (L-PBF). The specimens were tested in two conditions (as received – “ductile”, and H900 treated – “brittle”), resulting in lower and higher ductility to failure, respectively. Dynamic fracture behavior was tested using the one-point impact technique (for both modes I and II), together with finite element analysis (FEA) and scanning electron fractographic analysis. Large and small cell sizes were manufactured, preserving the lattice's density. In mode I, fracture propagation consistently occurred by sequential strut fracture. By contrast, under mode II loading, fracture propagates simultaneously in specimens with large unit cells, but sequentially in those with small unit cells, independent of the material condition. Specimens with a higher ductility failed by ductile fracture characterized by dimples. However, in the brittle state, the fracture mechanism was influenced by the unit cell size: large unit cell specimens showed a mixed fracture mode (dimples and cleavage), whereas small unit cells exhibited a distinctly brittle fracture with cleavage facets. These trends were observed irrespective of the loading mode. Overall, dynamic fracture propagated significantly faster in the brittle specimens, indicating a reduced capacity for impact energy absorption.</div></div>","PeriodicalId":18296,"journal":{"name":"Mechanics of Materials","volume":"211 ","pages":"Article 105481"},"PeriodicalIF":4.1,"publicationDate":"2025-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145007650","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Mechanics of MaterialsPub Date : 2025-12-01Epub Date: 2025-09-27DOI: 10.1016/j.mechmat.2025.105513
Daqian Xu , Zhifeng Huang , Hao Li , Vladyslav Turlo , Like Xu , Qiang Shen , Fei Chen
{"title":"Enhanced high-temperature creep resistance in gradient nanograined Fe-Zr alloy via gradient Zr segregation stabilizing grain boundary","authors":"Daqian Xu , Zhifeng Huang , Hao Li , Vladyslav Turlo , Like Xu , Qiang Shen , Fei Chen","doi":"10.1016/j.mechmat.2025.105513","DOIUrl":"10.1016/j.mechmat.2025.105513","url":null,"abstract":"<div><div>Fine and ultrafine grains in the gradient nanograined (GNG) structure exhibit low creep resistance. As these grains grow, they will further influence the hetero-deformation behavior when interacting with coarse grains under tensile loading. Solute segregation could be effective for stabilizing nanograins, but the distribution of solute atoms and its influence on the structure-performance relationship in the GNG structure remain unclear. Here, the Zr solute segregation gradient is found energetically favorable in the Fe-Zr GNG alloy based on molecular dynamics simulations, where the solute concentration at GBs shows a gradient distribution across the GNG structure. This dual heterogeneity contributes to improved creep resistance while also retaining the hetero-deformation induced strengthening nature of the GNG structure. A pseudo-composite structure is then demonstrated from the dual heterogeneity structure design: the finer grain region with higher segregation concentration, which acts as the thermodynamical stabilizer to enhance creep resistance; and the coarser grain region with smaller segregation concentration, which acts as plastic deformer to provide necessary hetero-deformation accommodation ability. Our work introduces segregation-induced concentration gradient into traditional heterogeneous materials and presents a new route for improving the creep resistance and tensile properties of heterostructure materials.</div></div>","PeriodicalId":18296,"journal":{"name":"Mechanics of Materials","volume":"211 ","pages":"Article 105513"},"PeriodicalIF":4.1,"publicationDate":"2025-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145220893","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}