K. M. K. Chowdary, A. R. Ballal, D. R. Peshwe, G. V. Prasad Reddy, J. Vanaja
{"title":"Continuum damage mechanics-based sine-hyperbolic creep damage analysis of RAFM Steel","authors":"K. M. K. Chowdary, A. R. Ballal, D. R. Peshwe, G. V. Prasad Reddy, J. Vanaja","doi":"10.1007/s11043-026-09897-x","DOIUrl":"10.1007/s11043-026-09897-x","url":null,"abstract":"<div><p>In the present investigation, sine-hyperbolic creep laws incorporating single- and three-state damage variables—referred to as the novel sine-hyperbolic (SH) and the Kowalewski–Hayhurst–Dyson (KHD) models, respectively—are applied to India-specific Reduced Activation Ferritic–Martensitic (IN-RAFM) steel within the framework of Continuum Damage Mechanics (CDM) using the ABAQUS finite element analysis platform. The results demonstrate that the sine-hyperbolic stress function, rather than the conventionally used power-law formulation, provides a more accurate representation of the creep strain rate and rupture behaviour of the steel. Uniaxial tensile creep data obtained at 823 K over a stress range of 200–260 MPa, including complete creep curves and rupture life, were used to determine the relevant material constants for both models. The findings indicate that the novel sine-hyperbolic model with a single damage state variable effectively captures the shape of the tertiary creep curve; however, the three-state variable KHD model, which accounts for ageing and creep-constrained cavitation mechanisms, offers a more comprehensive description of damage evolution. Quantitative error analysis further supports this observation, with the average normalized mean square error (NMSE) between experimental creep curves and KHD model predictions being 1.96%, compared with 3.46% for the SH model, thereby confirming the superior predictive accuracy of the KHD formulation.</p></div>","PeriodicalId":698,"journal":{"name":"Mechanics of Time-Dependent Materials","volume":"30 3","pages":""},"PeriodicalIF":4.5,"publicationDate":"2026-07-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148465430","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Variable-order fractal derivative-based nonlinear creep damage model for coal rock with intelligent parameter identification","authors":"Cong Lu, Zhile Han, Jianchun Guo, Shouxin Wang, Qijun Zeng, Qiuyue Li, Chi Chen, Shiqian Xu","doi":"10.1007/s11043-026-09895-z","DOIUrl":"10.1007/s11043-026-09895-z","url":null,"abstract":"<div><p>Deep coal rocks exhibit complex nonlinear rheological properties under high-stress environments, so conventional integer-order creep models cannot describe the full creep process, especially the accelerated phase. This paper introduces a novel variable-order fractal dashpot into the constitutive modeling of coal rocks. The fractal derivative is a strictly local operator that avoids the convolutional integration required by fractional derivatives, offering closed-form analytical solutions, the ability to accommodate variable-order and damage-coupled parameters without inflating computation, and concise expressions free of special functions. Defining the fractal order as a function of time and cleat-damage evolution lets the dashpot capture the progressive deterioration of the rock’s mechanical properties. Replacing the Newtonian dashpot in the classical Maxwell model with this element yields a new nonlinear creep damage model. An intelligent parameter-identification method based on Adaptive Particle Swarm Optimization (APSO) is proposed for the hard-to-invert nonlinear equation. Analytical solutions are derived and validated against cited triaxial creep data of coal rocks. The APSO-based fitting shows that the model reproduces the primary, steady-state, and highly nonlinear tertiary creep stages with physically reasonable parameters (<span>(R^{2}=0.9984)</span>), outperforming the integer-order Nishihara model and a constant-order fractional model. A quantitative comparison further shows that the local fractal operator is roughly two orders of magnitude faster than the global fractional operator, with the gap widening as the number of evaluation points increases. The scope and limitations are discussed explicitly.</p></div>","PeriodicalId":698,"journal":{"name":"Mechanics of Time-Dependent Materials","volume":"30 3","pages":""},"PeriodicalIF":4.5,"publicationDate":"2026-07-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148380303","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Modeling spatial propagation of hydrating grout in stochastic discrete fracture network","authors":"Zhihong Zhu, Meng Yang, Tianping Mei, Guangli Xu, Yun Zhou, Gongda Lu","doi":"10.1007/s11043-026-09896-y","DOIUrl":"10.1007/s11043-026-09896-y","url":null,"abstract":"<div><p>Reliable prediction of grout migration and sealing performance remains critically challenging since natural fracture network is geometrically complex and inherently opaque to direct observation. Existing predictive approaches for grouting design and performance assessment often simplify grout-water interactions via single-phase flow idealizations, and the time-dependent evolution of grout rheology is inadequately represented, particularly for realistic three-dimensional fracture systems. In this study, we develop a new computational model for immiscible two-phase grout-water flow based on the fractured porous media framework. By further incorporating hydration-induced viscosity evolution and reconstructing three-dimensional discrete fracture network, the spatial transport of hydrating grout in stochastically fractured rock mass has been rationally captured. The numerical results reveal that the spatial topology and connectivity characteristics of discontinuity systems dictate preferential grout penetration pathways, yielding strongly anisotropic and path-dependent diffusion patterns. Meanwhile, the progressive pressure attenuation and viscosity growth can contribute to pronounced deceleration of grout diffusion. Application to high-pressure grouting at a pumped storage hydropower project demonstrates that, increasing the injection pressure from 2 MPa to 8 MPa raises the fracture sealing ratio from 11.92% to 27.72% and the matrix sealing ratio from 3.71% to 10.28% after 60 min of injection, although the marginal gain in sealing efficiency progressively diminishes. Owing to slower viscosity growth and longer workability, the 100:6:1 grout mixture achieves higher sealing ratios compared with the faster-setting 100:7:1.5 mixture. The present study could shed light on the physics-based optimization of grouting design as well as the visualization-supported assessment of sealing efficacy in complex geological settings.</p></div>","PeriodicalId":698,"journal":{"name":"Mechanics of Time-Dependent Materials","volume":"30 3","pages":""},"PeriodicalIF":4.5,"publicationDate":"2026-07-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148380304","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Chuanyu Hu, Zhenhang Xiao, Jiefang Song, Aiwen Wang
{"title":"A nonstationary viscoelastic-plastic BuCY creep model for magnetite and its numerical implementation","authors":"Chuanyu Hu, Zhenhang Xiao, Jiefang Song, Aiwen Wang","doi":"10.1007/s11043-026-09886-0","DOIUrl":"10.1007/s11043-026-09886-0","url":null,"abstract":"<div><p>Constitutive models currently implemented in numerical simulation tools had limited applicability and cannot accurately characterize the complex creep behavior of magnetite. Here, we derive a three-dimensional central-difference formulation from the one-dimensional constitutive equation of the nonstationary viscoelastic-plastic BuCY creep model, based on rock rheology theory. We further enhance the numerical solution framework to perform iterative stress-strain updates within each time step. During the accelerating creep stage of the nonstationary viscoplastic CY component, the plastic behaviour of element Y is governed by the Mohr-Coulomb instability criterion. The BuCY creep model able to reproduce the observed creep characteristics of the magnetite-was integrated into the finite-difference code via secondary development, enabling model compilation and solution algorithm and inverse verification. Numerical simulation and inversion results show close agreement, confirming the success of the implementation. Comparative analysis with conventional creep models further confirms the superior applicability and accuracy of the BuCY model. This research significantly improves the fidelity of numerical simulations and is particularly well suitable for practical engineering problems, such as the analysis of deeply buried mining stopes.</p></div>","PeriodicalId":698,"journal":{"name":"Mechanics of Time-Dependent Materials","volume":"30 3","pages":""},"PeriodicalIF":4.5,"publicationDate":"2026-07-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148380384","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Moisture-dependent creep behavior and fractional-order damage modeling of weakly cemented soft rock","authors":"Haoshen Liu, Yanjun Zhang, Yuxiang Cheng, Yulong Liu, Siyi Wang, Ruiyi Lou","doi":"10.1007/s11043-026-09894-0","DOIUrl":"10.1007/s11043-026-09894-0","url":null,"abstract":"<div><p>Weakly cemented soft rock exhibits strong water sensitivity and time-dependent deformation, which can threaten the long-term stability of foundations and underground structures. In this paper, triaxial creep tests were conducted on weakly cemented soft rock specimens with moisture contents of 0%, 5.6%, 10.8%, and 18.6% to investigate the influence of water content on creep behavior and long-term strength. The results show that increasing moisture content and deviatoric stress promote the transition from stable creep to unstable creep, with greater creep deformation and lower creep failure stress. An improved steady-state creep-rate inflection method was used to determine the long-term strength, and a quantitative relationship between moisture content and long-term strength was established. Scanning electron microscopy observations indicate that hydration loosens the microstructure, increases pore development, and reduces cohesion, thereby accelerating creep damage. Based on fractional calculus and damage mechanics, a moisture-dependent fractional-order creep damage model was developed by modifying the Burgers model to describe both decelerating and accelerated creep stages. The model parameters were optimized using a hybrid particle swarm optimization–Levenberg–Marquardt algorithm, and the model showed good agreement with the experimental results. The proposed model provides a useful approach for describing water-induced creep deformation and evaluating the long-term failure tendency of weakly cemented soft rock under different moisture conditions.</p></div>","PeriodicalId":698,"journal":{"name":"Mechanics of Time-Dependent Materials","volume":"30 3","pages":""},"PeriodicalIF":4.5,"publicationDate":"2026-07-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148380387","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Creep characteristics and nonlinear creep modeling of water-bearing sandy mudstone under triaxial loading conditions","authors":"Jianbo Xu, Minhao Wang, Xuedong Luo, Ping Jiang, Qinghui Sun, Jianjun Song, Bingzhen Yu","doi":"10.1007/s11043-026-09893-1","DOIUrl":"10.1007/s11043-026-09893-1","url":null,"abstract":"<div><p>The creep behavior of water-bearing sandy mudstone is important for evaluating the long-term stability of underground engineering structures. In this paper, triaxial compression and triaxial creep tests were conducted on natural and dry sandy mudstone to examine the effects of water, deviatoric stress, and confining pressure on strength and creep deformation. The results show that water significantly weakens sandy mudstone, reducing its compressive strength, tangent modulus, cohesion, and long-term strength while increasing creep strain and steady-state creep rate. Increasing confining pressure improves the deformation resistance and long-term load-bearing capacity of the rock. Based on the experimental results, an extended Burgers nonlinear creep model was developed by incorporating water-induced damage, viscoplastic deformation, and a nonlinear viscosity coefficient for the accelerated creep stage. The proposed model reproduces the triaxial creep curves well, with coefficients of determination <span>(R^{2}geq 0.967)</span>. The model was implemented in numerical simulations through secondary development and validated against the laboratory creep tests, with a maximum error of 13.85%. It was further applied to simulate tunnel deformation, showing that creep deformation is concentrated mainly at the crown, invert, and arch waist, with rapid convergence during the first 100 h. These results provide a useful basis for predicting the creep response of water-bearing sandy mudstone and assessing the long-term stability of underground structures in similar soft-rock formations.</p></div>","PeriodicalId":698,"journal":{"name":"Mechanics of Time-Dependent Materials","volume":"30 3","pages":""},"PeriodicalIF":4.5,"publicationDate":"2026-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148380768","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Jingwen Yang, Yilong Ren, Yuan Song, Xiaokai Mu, Bo Yuan, Qingchao Sun
{"title":"Anisotropic viscoelastic-viscoplastic constitutive modeling of creep in fiber-reinforced polymer composites","authors":"Jingwen Yang, Yilong Ren, Yuan Song, Xiaokai Mu, Bo Yuan, Qingchao Sun","doi":"10.1007/s11043-026-09892-2","DOIUrl":"10.1007/s11043-026-09892-2","url":null,"abstract":"<div><p>Creep behavior plays an important role in the long-term reliability of composite structures, but its nonlinear and time-dependent nature makes accurate prediction difficult. In this study, a combined experimental-theoretical-numerical approach is proposed to characterize the nonlinear creep behavior of fiber-reinforced composites under different stress levels. First, a three-dimensional constitutive model is proposed based on the generalized Hill yield criterion and the Perzyna overstress function to describe multiaxial viscoplastic flow with tension-compression asymmetry. The model further incorporates the strain-rate dependence of the yield stress through the Eyring function, which improves the description of the initial rapid creep response. Then, the model is implemented into ABAQUS software through a user-defined subroutine using an algorithmic tangent operator and a return-mapping-type stress update algorithm. Finally, the proposed model is validated against compression creep experiments over a stress range from 20 to 80 MPa, and its predictive performance is systematically compared with those of the time-dependent consititutive models, showing consistently better agreement with the experimental results. The proposed approach provides a practical tool for long-term creep prediction and reliability assessment of composite structures.</p></div>","PeriodicalId":698,"journal":{"name":"Mechanics of Time-Dependent Materials","volume":"30 3","pages":""},"PeriodicalIF":4.5,"publicationDate":"2026-06-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148323075","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Chunneng Yang, Da Mei, Yi Luo, Tingting Liu, Xinping Li, Hangli Gong
{"title":"Transient strain response and fractal characterization of blast-induced damage in reef limestone under radially decoupled charging","authors":"Chunneng Yang, Da Mei, Yi Luo, Tingting Liu, Xinping Li, Hangli Gong","doi":"10.1007/s11043-026-09891-3","DOIUrl":"10.1007/s11043-026-09891-3","url":null,"abstract":"<div><p>Controlling blast-induced damage is important for underground construction in island and reef engineering. This paper investigates the transient strain response and damage evolution of reef limestone under radially decoupled charging through laboratory model blasting experiments and three-dimensional numerical simulations. Cylindrical reef limestone specimens with radial decoupling coefficients <span>(K_{d})</span> of 1.0, 1.25, 2.0, and 2.5 were tested. Strain gauges were used to record blast-induced strain histories, while post-blast crack patterns were analyzed using image processing and box-counting fractal analysis. The results show that <span>(K_{d})</span> has a significant non-monotonic effect on peak tensile strain, crack development, and fractal dimension. The peak tensile strain increased from 2.09 <span>(upmu varepsilon )</span> at <span>(K_{d} = 1.0)</span> to a maximum of 2.28 <span>(upmu varepsilon )</span> at <span>(K_{d} = 1.25)</span>, then decreased to 1.13 and 0.99 <span>(upmu varepsilon )</span> at <span>(K_{d} = 2.0)</span> and 2.5, respectively. The crack network also reached its highest fractal dimension of 1.5799 at <span>(K_{d} = 1.25)</span>, indicating the most developed multiscale cracking pattern. Numerical simulations further show that increasing <span>(K_{d})</span> attenuates stress-wave amplitude, modifies wave propagation, and promotes a transition from extensive crack development to more localized damage near the blasthole. These findings suggest that an intermediate radial decoupling coefficient, particularly <span>(K_{d} = 1.25)</span>, can provide a favorable balance between blasting efficiency and damage control in porous reef limestone. The results provide guidance for precision blasting design and damage mitigation in reef-island underground engineering.</p></div>","PeriodicalId":698,"journal":{"name":"Mechanics of Time-Dependent Materials","volume":"30 3","pages":""},"PeriodicalIF":4.5,"publicationDate":"2026-06-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148261682","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Distribution of plastic zones and zonal control of surrounding rock in fault-crossing roadways: a case study of Duanwang coal mine","authors":"Feng Li, Zhen Lv, Baokun Zhou, Huaqing Zhang, Liang Sun, Chunlai Wang","doi":"10.1007/s11043-026-09889-x","DOIUrl":"10.1007/s11043-026-09889-x","url":null,"abstract":"<div><p>Fault-crossing roadways often experience severe stress perturbation and large deformation, posing critical challenges to surrounding rock control. Taking the Duanwang Coal Mine as a case study, this study investigates the evolutionary characteristics of the plastic zone and stress redistribution mechanisms induced by fault structures. The results show that the presence of a fault substantially alters the in-situ stress field, producing a pronounced stress concentration near the fault interface. An increased lateral pressure coefficient promoted the extension of plastic zones in both the roof and floor, whereas reductions in the Geological Strength Index and uniaxial compressive strength accelerated the nonlinear expansion of plastic failure. Numerical simulations further revealed that the fault dip angle plays a decisive role in stress distribution: low-angle faults induce greater stress asymmetry and result in more significant shear deformation on the roof–floor system. Based on the spatial pattern of rock deformation, a zonal support strategy was proposed. Within the fault-influenced zone, a composite support system consisting of bolts, cables, and a steel-frame canopy was adopted, while a full-length anchorage scheme was applied in high-stress concentration areas. Field monitoring indicated that the optimized support system effectively restrained roof subsidence and rib convergence, with bolt and cable load levels stabilizing within safe bearing limits. The deformation rate of the surrounding rock was significantly reduced. This study provides a theoretical foundation and practical guidance for the design and optimization of support systems in fault-affected roadways.</p></div>","PeriodicalId":698,"journal":{"name":"Mechanics of Time-Dependent Materials","volume":"30 3","pages":""},"PeriodicalIF":4.5,"publicationDate":"2026-06-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148261659","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pramod Kumar, Abhilash Gogoineni, Sanjay Sharma, L. Naveen, K. Dhaneshower
{"title":"Thermal stability performance of sustainable mortar incorporating construction and demolition waste as fine aggregate","authors":"Pramod Kumar, Abhilash Gogoineni, Sanjay Sharma, L. Naveen, K. Dhaneshower","doi":"10.1007/s11043-026-09888-y","DOIUrl":"10.1007/s11043-026-09888-y","url":null,"abstract":"<div><p>The construction industry faces increasing environmental challenges due to the overexploitation of natural sand and the growing volume of construction and demolition (C&D) waste. Utilizing recycled sand (RS) derived from C&D waste offers a sustainable alternative, contributing to resource conservation and circular economy practices. This study examines the feasibility of using RS as a substitute for natural sand (NS) in cement mortar, with a focus on thermal stability at elevated temperatures. Five mortar mixes were prepared by substituting NS with RS at 0%, 25%, 50%, 75%, and 100% by weight. Comprehensive experimental assessments were conducted, including compressive strength testing at ambient and elevated temperatures (100-700 °C), water demand measurements, mass loss analysis, and microstructural evaluations using scanning electron microscopy (SEM) and energy-dispersive X-ray spectroscopy (EDX). Results reveal a linear increase in water demand, rising by 46.33% from RS0 to RS100, attributed to the high porosity and angularity of RS particles. At ambient temperature, the compressive strength of mortar specimens decreased progressively with increasing RS content, showing a 55.23% reduction at RS100. Upon exposure to 100 °C, all mixes showed a marginal improvement in strength due to secondary hydration, with RS0 exhibiting a peak increase of 7.95%. Beyond 100 °C, thermal degradation intensified, with RS100 showing a 94.25% reduction in strength at 700 °C. SEM-EDX analyses demonstrated the formation of a more extensive calcium silicate hydrate (C–S–H) gel at 100 °C, correlating with improved microstructural densification. Mass loss increased with temperature and RS content, with RS100 experiencing 16% loss at 700 °C, compared to 11% in RS0. Overall, the study concludes that partial replacement of natural sand with up to 25% RS is technically feasible for producing thermally stable and eco-friendly mortar, whereas higher replacement levels significantly compromise mechanical and thermal performance. The statistical analysis of experimental data was performed using ANOVA. The summary of the results showed that temperature is a more sensitive parameter than the mix ID. These findings highlight the potential of C&D waste utilization in promoting sustainability in the construction sector.</p></div>","PeriodicalId":698,"journal":{"name":"Mechanics of Time-Dependent Materials","volume":"30 2","pages":""},"PeriodicalIF":2.3,"publicationDate":"2026-06-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148236993","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}