Journal of The Mechanics and Physics of Solids最新文献

{"title":"Design of interface modes in canonical phononic waveguides","authors":"Z. Chen ,&nbsp;L. Morini ,&nbsp;M. Gei","doi":"10.1016/j.jmps.2025.106291","DOIUrl":"10.1016/j.jmps.2025.106291","url":null,"abstract":"<div><div>An interface mode is a localised vibration field at the interface between two waveguides that may be excited at a frequency sitting in a band gap that is in common between the two structures. For electromagnetic waves, the condition for the mode to occur is associated with certain properties of either the surface impedances of the two waveguides or the value of the Zak phase of the adjacent pass bands. In this work, we propose a novel, rigorous and simple method to predict the presence of interface modes at the join between two dissimilar, one-dimensional, periodic, two-phase phononic waveguides. In particular, we show that when the two rods have a <em>canonical configuration</em> it is possible to determine the band gaps of the frequency spectrum where this condition is satisfied. The value of the impedance for all band gaps of the spectrum is analysed through an extended version of the method of the universal toroidal manifold, recently adopted by the Authors to describe the dynamic properties of canonical structures. In terms of prediction, the outcome of the proposed approach is identical to that derived by calculating the Zak phase of the bulk bands for both the waveguides composing the system. By considering two specific combinations of finite-sized canonical rods and studying the associated reflection coefficients, we also determine the frequency of the interface mode in closed form. Our approach provides significant new insight to the mechanics of structured waveguides in order to design and optimise systems able to support interface modes avoiding the challenging numerical calculations normally required to estimate topological invariants.</div></div>","PeriodicalId":17331,"journal":{"name":"Journal of The Mechanics and Physics of Solids","volume":"204 ","pages":"Article 106291"},"PeriodicalIF":6.0,"publicationDate":"2025-07-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144756678","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Membrane vesicles embedded with multiple curved proteins subjected to osmotic pressure","authors":"Yuanyuan Ma ,&nbsp;Shirong Sun ,&nbsp;Xu Huang ,&nbsp;Liangfei Tian ,&nbsp;Long Li ,&nbsp;Jizeng Wang","doi":"10.1016/j.jmps.2025.106283","DOIUrl":"10.1016/j.jmps.2025.106283","url":null,"abstract":"<div><div>Biological membranes with distinct mechanics are crucial for many important biological processes (e.g., endocytosis, metabolism and intercellular trafficking) that require specific cell or organelle membrane shape for successful implementation of relevant cellular functions. In biological systems, the membrane morphology would be simultaneously modulated by curvature-sensing proteins and osmotic pressure. However, the underlying mechanical interplay among these two biophysical factors and the membrane mechanics remains largely unclear during membrane deformation. To address this issue, using dynamic triangulation Monte Carlo simulations of membrane vesicles embedded with multiple curved proteins under osmotic pressure, we investigate the stochastic dynamics and thermal equilibrium configurations of the vesicle system. This stochastic method captures a range of microscopic stochastic behaviors, including membrane fluctuations, protein motion, and vesicle shrinkage. A comparative study reveals the cooperative effects of osmotic pressure and curved proteins on vesicle morphology, dependent on membrane mechanics. In elastic membranes, osmotic pressure alone induces concave shapes, while curved proteins create rough quasi-spherical structures; their combination synergistically forms highly folded, low volume-to-area ratio morphologies. In fluid membranes, osmotic pressure inhibits tubular structures driven by curved proteins due to increased membrane tension. Diverse dynamic and equilibrium configurations are identified as functions of solution concentration, protein curvature, and membrane mechanics, consistent with prior literature. These findings provide a mechanical understanding of how osmotic pressure and curvature-sensing proteins jointly regulate vesicle deformation.</div></div>","PeriodicalId":17331,"journal":{"name":"Journal of The Mechanics and Physics of Solids","volume":"204 ","pages":"Article 106283"},"PeriodicalIF":5.0,"publicationDate":"2025-07-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144687056","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Beyond homogenisation","authors":"J.R. Willis","doi":"10.1016/j.jmps.2025.106278","DOIUrl":"10.1016/j.jmps.2025.106278","url":null,"abstract":"<div><div>The theory of homogenisation is designed for calculating an appropriate measure of the mean disturbance, when the mean disturbance consists of waves whose wavelength is much greater than the microscopic length scale over which the properties of the medium vary. Over the last several years, the theory has been extended to be applicable to metamaterials whose effective properties include significant unusual couplings at frequencies close to the resonant frequencies of microstructural components. This article is concerned with the development of theory that is applicable beyond this range. For a random medium, the natural measure of the mean disturbance is the ensemble mean. This is governed by effective properties that are non-local in space and time, significantly complicating the solution of boundary value problems. A further complication is that mean waves decay with distance of propagation and yet energy is conserved. There has been so far just one configuration for which this apparent paradox is explicitly stated and resolved. The energy lost from the mean wave is transferred during propagation to the mean-zero component of the disturbance. This was demonstrated for the mean energy flux during time-harmonic excitation. The need for fully time-dependent solutions provides the motivation for this presentation. A new stochastic variational structure based on the principle of least action is developed, which is applicable also to nonlinear elastic response and to time-dependent microstructures. Rather than concentrating on effective properties, it permits the construction of approximations which make use of limited statistical information, applicable to each individual realisation. When the properties of the medium are time-independent, these approximations are consistent with mean energy conservation, a result stronger than that already obtained in the time-harmonic case.</div></div>","PeriodicalId":17331,"journal":{"name":"Journal of The Mechanics and Physics of Solids","volume":"204 ","pages":"Article 106278"},"PeriodicalIF":5.0,"publicationDate":"2025-07-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144669813","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Modeling semi-flexible biopolymer networks with geometrically exact, non-linear isogeometric beams","authors":"Matthew J. Lohr ,&nbsp;Soham Mane ,&nbsp;Sotirios Kakaletsis,&nbsp;Grace N. Bechtel,&nbsp;Jan N. Fuhg,&nbsp;Berkin Dortdivanlioglu,&nbsp;Rui Huang,&nbsp;Manuel K. Rausch","doi":"10.1016/j.jmps.2025.106282","DOIUrl":"10.1016/j.jmps.2025.106282","url":null,"abstract":"<div><div>Biopolymers are an important class of materials that comprise many biological tissues. Their semi-flexible nature sets them apart from most synthetic polymers. Thus, the development of material-specific models is an important step toward understanding their structure-function relationship. This, in turn, will enable us to understand biological tissues such as heart valves, arteries, and skin. Here we propose and test the use of geometrically-exact, nonlinear isogeometric beams and beam assemblies to model semi-flexible polymer networks. Beyond establishing and validating this modeling framework, we demonstrate its potential by exploring the deformations of individual fibers and of 3D semi-flexible biopolymer networks. We do so in networks of straight and undulated fibers and find that fiber geometry significantly alters the networks’ macro-mechanics. Additionally, we find that fibers undergo a well-preserved sequence of loading modes. Specifically, fibers first reorient and bend and are then uniaxially stretched. We further showcase our framework by successfully comparing a fibrin pure shear experiment against our model predictions. We believe that our modeling framework will be useful in continuing the investigation of the structure-function relationships of semi-flexible biopolymer networks and will thus provide insight into the mechanics of biological tissues.</div></div>","PeriodicalId":17331,"journal":{"name":"Journal of The Mechanics and Physics of Solids","volume":"204 ","pages":"Article 106282"},"PeriodicalIF":5.0,"publicationDate":"2025-07-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144669965","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Irradiation reduces the anisotropy of strength in zirconium","authors":"Aiya Cui ,&nbsp;Yang Li ,&nbsp;Changqiu Ji ,&nbsp;Yinan Cui","doi":"10.1016/j.jmps.2025.106279","DOIUrl":"10.1016/j.jmps.2025.106279","url":null,"abstract":"<div><div>Zirconium alloys, widely used as fuel cladding and pressure tubes in nuclear reactors, exhibit strong mechanical anisotropy due to their hexagonal close-packed (HCP) structure and manufacturing-induced textures. While irradiation hardening in zirconium has been well studied, irradiation’s impact on mechanical anisotropy, especially in polycrystals, remains unclear. This work develops a mechanism-informed, bottom-up model to investigate how irradiation weakens strength anisotropy by decoupling the effects of interactions between dislocation and irradiation-loops, slip system hardening, and texture. First, the individual dislocation-loop interaction mechanisms in Zr have been systematically studied using discrete dislocation dynamics (DDD) simulations, which show good agreement with molecular dynamics simulations. Through large-scale DDD simulations of dislocation-loop ensembles, we quantify slip system hardening and reveal that the higher occurrence of helical turns in the prismatic slip system results in stronger irradiation hardening compared to its basal counterpart. A theoretical model is then developed, accurately predicting the reduction in strength anisotropy for both single-crystal and polycrystalline zirconium. The predicted ratio of maximum to minimum yield stress under different crystallographic orientations decreases from <span><math><mo>∼</mo></math></span>3 to <span><math><mo>∼</mo></math></span>1.5 for single crystals, while the ratios for yield stress along axial (AD), tangential (TD), and radial (RD) directions of <span><math><mrow><msub><mrow><mi>σ</mi></mrow><mrow><mi>TD</mi></mrow></msub><mo>/</mo><msub><mrow><mi>σ</mi></mrow><mrow><mi>AD</mi></mrow></msub></mrow></math></span> and <span><math><mrow><msub><mrow><mi>σ</mi></mrow><mrow><mi>TD</mi></mrow></msub><mo>/</mo><msub><mrow><mi>σ</mi></mrow><mrow><mi>RD</mi></mrow></msub></mrow></math></span> decrease from 1.70 and 1.28 to nearly 1.0 for polycrystalline pressure tubes at low irradiation doses (&lt;1 dpa). Furthermore, the model is applied to investigate the statistical distribution of dislocation channels under loading along AD, TD, and RD in irradiated cladding materials, showing good agreement with TEM observations. This work offers critical insights into irradiation hardening in zirconium, guiding alloy design and texture optimization for improving safety and performance in nuclear reactors.</div></div>","PeriodicalId":17331,"journal":{"name":"Journal of The Mechanics and Physics of Solids","volume":"204 ","pages":"Article 106279"},"PeriodicalIF":5.0,"publicationDate":"2025-07-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144669953","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Spotting structural defects in crystals from the topology of vibrational modes","authors":"Long-Zhou Huang ,&nbsp;Yun-Jiang Wang ,&nbsp;Min-Qiang Jiang ,&nbsp;Matteo Baggioli","doi":"10.1016/j.jmps.2025.106274","DOIUrl":"10.1016/j.jmps.2025.106274","url":null,"abstract":"<div><div>Because of the inevitably disordered background, structural defects are not well-defined concepts in amorphous solids. In order to overcome this difficulty, it has been recently proposed that topological defects can be still identified in the pattern of vibrational modes, by looking at the corresponding eigenvector field at low frequency. Moreover, it has been verified that these defects strongly correlate with the location of soft spots in glasses, that are the regions more prone to plastic rearrangements. Here, we show that the topology of vibrational modes predicts the location of structural defects in crystals as well, including the cases of dislocations, disclinations and Eshelby inclusions. Our results suggest that in crystalline solids topological defects in the vibrational modes are directly connected to the well-established structural defects governing plastic deformations and present characteristics very similar to those observed in amorphous solids.</div></div>","PeriodicalId":17331,"journal":{"name":"Journal of The Mechanics and Physics of Solids","volume":"204 ","pages":"Article 106274"},"PeriodicalIF":5.0,"publicationDate":"2025-07-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144669815","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Curvature-guided mechanics and design of spinodal and shell-based architected materials","authors":"Somayajulu Dhulipala,&nbsp;Carlos M. Portela","doi":"10.1016/j.jmps.2025.106273","DOIUrl":"10.1016/j.jmps.2025.106273","url":null,"abstract":"<div><div>Additively manufactured (AM) architected materials have enabled unprecedented control over mechanical properties of engineered materials. While lattice architectures have played a key role in these advances, they suffer from stress concentrations at sharp joints and bending-dominated behavior at high relative densities, limiting their mechanical efficiency. Additionally, high-resolution AM techniques often result in low-throughput or costly fabrication, restricting manufacturing scalability of these materials. Aperiodic spinodal architected materials offer a promising alternative by leveraging low-curvature architectures that can be fabricated through techniques beyond AM. Enabled by phase separation processes, these architectures exhibit tunable mechanical properties and enhanced defect tolerance by tailoring their curvature distributions. However, the relation between curvature and their anisotropic mechanical behavior remains poorly understood. In this work, we develop a theoretical framework to quantify the role of curvature in governing the anisotropic stiffness and strength of shell-based spinodal architected materials. We introduce geometric metrics that predict the distribution of stretching and bending energies under different loading conditions, bridging the gap between curvature in doubly curved shell-based morphologies and their mechanical anisotropy. We verify our framework through finite element simulations and microscale experiments, demonstrating its utility in designing mechanically robust spinodal architectures. This study provides fundamental insights into curvature-driven mechanics, guiding the optimization of next-generation architected materials for engineering applications.</div></div>","PeriodicalId":17331,"journal":{"name":"Journal of The Mechanics and Physics of Solids","volume":"204 ","pages":"Article 106273"},"PeriodicalIF":5.0,"publicationDate":"2025-07-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144669968","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Strongly nonlinear wave propagation in elasto-plastic metamaterials: Low-order dynamic modeling","authors":"Samuel P. Wallen ,&nbsp;Washington DeLima ,&nbsp;Michael R. Haberman","doi":"10.1016/j.jmps.2025.106276","DOIUrl":"10.1016/j.jmps.2025.106276","url":null,"abstract":"<div><div>Nonlinear elastic metamaterials are known to support a variety of dynamic phenomena that enhance our capacity to manipulate elastic waves. Since these properties stem from complex, subwavelength geometry, full-scale dynamic simulations are often prohibitively expensive at scales of interest. Prior studies have therefore utilized low-order effective medium models, such as discrete mass–spring lattices, to capture essential properties in the long-wavelength limit. While models of this type have been successfully implemented for a wide variety of nonlinear elastic systems, they have predominantly considered dynamics depending only on the instantaneous kinematics of the lattice, neglecting history-dependent effects, such as wear and plasticity. To address this limitation, the present study develops a lattice-based modeling framework for nonlinear elastic metamaterials undergoing plastic deformation. Due to the history- and rate-dependent nature of plasticity, the framework generally yields a system of differential–algebraic equations whose computational cost is significantly greater than an elastic system of comparable size. We demonstrate the method using several models inspired by classical lattice dynamics and continuum plasticity theory and explore means to obtain empirical plasticity models for general geometries, thereby gaining insight into the influence of microstructural plasticity on effective material performance, which can be used to improve the design of nonlinear mechanical metamaterials.</div></div>","PeriodicalId":17331,"journal":{"name":"Journal of The Mechanics and Physics of Solids","volume":"204 ","pages":"Article 106276"},"PeriodicalIF":5.0,"publicationDate":"2025-07-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144670040","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Towards interfacing dark-field X-ray microscopy to dislocation dynamics modeling","authors":"Axel Henningsson ,&nbsp;Sina Borgi ,&nbsp;Grethe Winther ,&nbsp;Anter El-Azab ,&nbsp;Henning Friis Poulsen","doi":"10.1016/j.jmps.2025.106277","DOIUrl":"10.1016/j.jmps.2025.106277","url":null,"abstract":"<div><div>Deformation gradient tensor fields are reconstructed in three dimensions (mapping all 9 tensor components) using synthetic Dark-Field X-ray Microscopy data. Owing to the unique properties of the microscope, our results imply that the evolution of deformation fields can now be imaged non-destructively, in situ, and within deeply embedded crystalline elements. The derived regression framework and sampling scheme operate under the kinematic diffraction approximation and are well-suited for studying microstructure evolution during plastic deformation. We derive the deformation conditions under which diffraction vectors extracted from DFXM images can be uniquely associated to the deformation gradient tensor field of the sample. The analysis concludes that the inverse deformation gradient tensor field must feature limited higher order spatial derivatives over line segments defined by the X-ray beam thickness and the diffracted ray path. The proposed algorithms are validated against numerical simulations for realistic noise levels. Reconstructions of a simulated single straight-edge dislocation show that the Burgers vector components can be recovered with an error of <span><math><mo>&lt;</mo></math></span>2%. The mean absolute error of the reconstructed elastic distortion field was found to be <span><math><mrow><mo>&lt;</mo><mn>1</mn><msup><mrow><mn>0</mn></mrow><mrow><mo>−</mo><mn>6</mn></mrow></msup></mrow></math></span>. By taking the curl of the elastic distortion field, local dislocation densities are derived, yielding a reconstructed dislocation core position with sub-pixel accuracy. The significance of directly measuring the elastic distortion and the dislocation density tensor fields is discussed in the context of continuum theory of dislocations. Such measurements can also be interfaced with continuum dislocation dynamics by providing data that can guide the development and validation, thus extending the relevant models to finite strain regimes.</div></div>","PeriodicalId":17331,"journal":{"name":"Journal of The Mechanics and Physics of Solids","volume":"204 ","pages":"Article 106277"},"PeriodicalIF":5.0,"publicationDate":"2025-07-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144662423","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Dynamic forcing of crack fronts: From non-local elasticity to shock wave behavior","authors":"Bingbing Hao ,&nbsp;Ashwij Mayya ,&nbsp;Aditya Vasudevan ,&nbsp;Julien Chopin ,&nbsp;Yuelei Bai ,&nbsp;Laurent Ponson","doi":"10.1016/j.jmps.2025.106260","DOIUrl":"10.1016/j.jmps.2025.106260","url":null,"abstract":"<div><div>The motion of deformed interfaces underlies a myriad of phenomena such as phase transformation, ferromagnetism, wetting, superconductivity, etc. It also impacts the materials’ resistance to failure, that takes place through the propagation of a crack that can deform under the effect of microstructural heterogeneities. These mechanisms are generally described in the quasi-static limit for which long-range crack front elasticity prevails. Here, we design an experiment where crack fronts are tracked as they are forced to deform at a prescribed speed <span><math><mi>v</mi></math></span>. As <span><math><mi>v</mi></math></span> approaches <span><math><msub><mrow><mi>v</mi></mrow><mrow><mo>∘</mo></mrow></msub></math></span>, a limit speed for crack deformation imposed by the microscopic failure processes, we observe that deformations are progressively damped. In the limit <span><math><mrow><mi>v</mi><mo>≫</mo><msub><mrow><mi>v</mi></mrow><mrow><mo>∘</mo></mrow></msub></mrow></math></span>, at large forcing speed, the long-range elastic interactions seemingly fade away, giving way to a shock wave behavior that manifests as triangular fronts reminiscent of Mach cones. Combining experimental observations and fracture mechanics-based modeling, we evidence a dynamic length scale that decreases as the crack front dynamics evolve from the quasi-static regime to the newly evidenced shock-wave regime. In essence, this length scale delimits the apparent range of the long-range elasticity that vanishes at very large forcing speed. Our original protocol for dynamic forcing unfolds how deformations settle down at finite speed along long-range elastic interfaces. Applied to failure phenomena, it illustrates how the microscopic dissipative processes localized at the crack tip govern the large-scale dynamics of crack fronts. It also shows that the extent of the long-range interactions underlying the behavior of interfaces in elastic solids can be truncated, and therefore potentially be engineered, paving the way for the design of interfaces with programmable dynamic.</div></div>","PeriodicalId":17331,"journal":{"name":"Journal of The Mechanics and Physics of Solids","volume":"204 ","pages":"Article 106260"},"PeriodicalIF":6.0,"publicationDate":"2025-07-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144670041","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}