Homogenization of a Nonstationary Model of Linear Theory of Elasticity with Account for Temporal Correlation of Phases in a Heterogeneous Structure

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Homogenization of a Nonstationary Model of Linear Theory of Elasticity with Account for Temporal Correlation of Phases in a Heterogeneous Structure

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  • Cite Count Icon 7
  • 10.3390/ma15103542
Tensile Behaviors and Strain Hardening Mechanisms in a High-Mn Steel with Heterogeneous Microstructure
  • May 15, 2022
  • Materials
  • Shengde Zhang + 5 more

Heterogeneous structures with both heterogeneous grain structure and dual phases have been designed and obtained in a high-Mn microband-induced plasticity (MBIP) steel. The heterogeneous structures show better synergy of strength and ductility as compared to the homogeneous structures. Higher contribution of hetero-deformation induced hardening to the overall strain hardening was observed and higher density of geometrically necessary dislocations were found to be induced at various domain boundaries in the heterogeneous structures, resulting in higher extra strain hardening for the observed better tensile properties as compared to the homogeneous structures. MBIP effect is found to be still effective in the coarse austenite grains of heterogeneous structures, while the typical Taylor lattice structure and the formation of microband are not observed in the ultra-fine austenite grains of heterogeneous structures, indicating that decreasing grain size might inhibit the occurrence of microbands. High density of dislocation is also observed in the interiors of BCC grains, indicating that both phases are deformable and can accommodate plastic deformation. It is interesting to note that the deformation mechanisms are highly dependent on the phase and grain size for the present MBIP steel with heterogeneous structures.

  • Research Article
  • 10.33140/jamser.05.04.02
A Summary Report Utilizing Math-Physical Medicine Models and Statistical Regression Models to Derive Practical Prediction Equations of Selected Biomarkers for Glucoses, A1C, Diabetes, and Risk Probabilities of Having Certain Chronic Disease Complications from the Collected Data of a Type 2 Diabetes Patient based on GH-Method: Math-Physical Medicine (No. 560)
  • Dec 28, 2021
  • Journal of Applied Material Science & Engineering Research

A Summary Report Utilizing Math-Physical Medicine Models and Statistical Regression Models to Derive Practical Prediction Equations of Selected Biomarkers for Glucoses, A1C, Diabetes, and Risk Probabilities of Having Certain Chronic Disease Complications from the Collected Data of a Type 2 Diabetes Patient based on GH-Method: Math-Physical Medicine (No. 560)

  • Research Article
  • Cite Count Icon 47
  • 10.1016/j.memsci.2008.04.052
Influence of the heterogeneous structure on the electrochemical properties of anion exchange membranes
  • May 1, 2008
  • Journal of Membrane Science
  • Hong-Joo Lee + 3 more

Influence of the heterogeneous structure on the electrochemical properties of anion exchange membranes

  • Research Article
  • 10.1088/1742-6596/2269/1/012010
Computer simulation of the glassy network structure of B2O3-2SiO2 and Al2O3-2SiO2 systems
  • May 1, 2022
  • Journal of Physics: Conference Series
  • Mai Thi Lan + 1 more

The network structure of B2O3-2SiO2 and Al2O3-2SiO2 systems (abbreviated as BS2 and AS2, respectively) in the liquid state is investigated by molecular dynamics simulation. For the BS2 system, most of the basic structural units are BO3 and SiO4. The number of BO4 and SíOb is very small. Most of the tetrahedral SiO4 and trigonal BO3 networks link to each other via mainly the corner-sharing bonds to form -Si-O-Si- and -Si-O-B- linkages. For the AS2 system, most of basic structural units are tetrahedral TO4 (T=Al, Si) and trigonal AlO3. The number of TO5 is negligible. The basic structural units link to each other through mainly the corner-sharing bonds to form -Si-O-Si- and -Si-O-Al- linkages. The topology of basic structural units is investigated via the bond angle and length distribution. The addition of Al2O3 or B2O3 into silica results in the change of the -Si-O- network structure. The cation B3+ or Al3+ tend to replace the Si 4+ in the tetrahedra SiO4 to form negative charge units [BO 4]- and [AlO 4]-, respectively. The concentration of negative charge units in the network structure of AS2 and BS2 is different. The network structure is studied through linkages T-O-T (T = Si, B, Al) and the number of types of linkages. Especially, the structural heterogeneity is also presented and discussed in detail. The structural heterogeneity in BS2 and AS2 liquids is due to the coexistence of two BO3 and SiO4 structural phases in BS2 and three SiO4, AlO4 and AlO3 structural phases in AS2 liquids.

  • Research Article
  • Cite Count Icon 11
  • 10.1016/j.matchar.2023.113127
Lightweight refractory high entropy alloys with excellent specific strength and enhanced malleability by in-situ heterogeneous structure
  • Jun 28, 2023
  • Materials Characterization
  • Fei Gao + 4 more

Lightweight refractory high entropy alloys with excellent specific strength and enhanced malleability by in-situ heterogeneous structure

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  • Research Article
  • 10.32347/2410-2547.2022.109.287-300
Simplification of the calculation scheme for determining the stress state of non-thin cylindrical shells with a complex cross-sectional shape ellipticity
  • Nov 11, 2022
  • Strength of Materials and Theory of Structures
  • Liliia Rozhok + 3 more

An alternative to full-scale experiments is computer simulation, which allows studying a variety of states, phenomena, processes, etc. occurring in the environment.
 Conducting a computational experiment is an integral part of the design phase of new structures and their elements. One of the important issues is the choice of research model, feasible calculation scheme and possibility of its simplification.
 This research investigates orthotropic non-thin cylindrical shells with corrugated ellipses as cross sections, which has the two-parameter deviation of the cross-section shape from a circular one. Considered are shells, for which the cross-section curvature radius of the reference surface has the positive sign. The shells are subjected to internal pressure under conditions of simple support on the ends.The subject of the study is the stress state of shells and, as a consequence, the establishment of the relationship between the geometric parameters of the reference surface of the cross sections and the possibility of simplifying the calculation scheme (excluding from consideration the parameter characterizing ellipticity).The problem is solved using the spatial model of linear elasticity theory based on the method of approximation of functions by discrete Fourier series.For the class of considered shells, we find the limits of possible simplification of the calculation scheme during calculations on durability with use of the fourth theory of durability (the theory of the greatest specific potential energy), due to exclusion from consideration of the parameter, which characterizes ellipticity of corrugated cylindrical shells.The cross-sectional radius of curvature of the reference surface in the zone of greatest rigidity was chosen as a criterion for the possibility of using a simplified scheme. It is found that a simplified scheme can be used when the cross-section curvature radius of the reference surface of elliptical corrugated cylindrical shells in this section differs from that for circular corrugated shells by no more than 17%.

  • Research Article
  • Cite Count Icon 63
  • 10.1021/ma9004764
Shear-Enhanced Crystallization in Impact-Resistant Polypropylene Copolymer: Influence of Compositional Heterogeneity and Phase Structure
  • Aug 25, 2009
  • Macromolecules
  • Shijie Song + 3 more

The roles of compositional heterogeneity and phase structure on an unusual shear-enhanced crystallization behavior of impact-resistant polypropylene copolymer (IPC) were systematically investigated...

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  • 10.33140/jamser.05.04.20
Linear Regression Analysis Results of the CGM Sensor PPG Comparison Between Predicted PPG Data Using the Linear Elastic Glucose Theory (LEGT) and Measured PPG Data During a ~2-year COVID-19 Quarantine Period for a type 2 Diabetes Patient Based on GH-Method: Math-Physical Medicine (No. 540)
  • Dec 28, 2021
  • Journal of Applied Material Science & Engineering Research

Since 5/5/2018, the author has been applying a continuous glucose monitoring (CGM) sensor device on his upper arm that collected and recorded the complete glucose data continuously at 15-minute time intervals on his iPhone. He accumulated 96 glucoses per day over the past ~3.5 years. As a result, over these 1,272 days, he has compiled a total of 122,112 glucose data and stored them in his database where postprandial plasma glucose (PPG) occupies 45,792 data size and 37.5% of the total glucose database. During 2020-2021 COVID-19 quarantine period, he has a strictly managed routine, without any traveling, which allowed him to have an overall healthy lifestyle. Therefore, all of the 19 influential factors of PPG are mainly control by two primary factors: carbs/sugar intake amount (average at 13.1 gram, low-carb diet) and post-meal waking e excise (average of 4,300 steps). Based on this simplified and healthy lifestyle, he can then easily utilize his developed linear elastic glucose theory (LEGT) model to predict his PPG. In his previous research reports, he has applied physics concepts and theories, engineering models and equations, mathematical concepts and formulas, computer big data and artificial intelligence (AI) techniques, as well as some statistical approaches. The majority of published medical papers he has read are mainly based on statistics. As a result, in this article, he selected one of the basic statistical tools, linear regression analysis, to study the comparison between his predicted PPG using LEGT and CGM sensor measured PPG. In conclusion, the linear regression analysis results have provided similar findings with his previous analysis outcomes using other math-physical tools.

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Structure and Density Heterogeneities of the l-3Al2O3.2SiO2 System: Insight from Computer Simulation and Density-Based Spatial Clustering of Applications with Noise
  • Mar 25, 2025
  • VNU Journal of Science: Mathematics - Physics
  • Pham Tri Dung + 2 more

The structural and density heterogeneity of the liquid 3Al2O3.2SiO2 (l-3Al2O3.2SiO2) system was studied using Molecular Dynamics (MD) and Monte Carlo (MC) simulations. The results showed that the structural phase transition occurred at an oxygen packing factor of approximately 0.58. At low pressure, TO4 structural units predominated while at high pressure, TO6 structural units became dominant. In addition, the Density-Based Spatial Clustering of Applications with Noise (DBSCAN) algorithm was applied to find regions with larger density than the average density in the model. These findings provide an in-depth understanding of the structure of the l-3Al2O3.2SiO2 system under compressive pressure. Keywords: Structural heterogeneity, OPF, high-density regions, DBSCAN.

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  • Cite Count Icon 1
  • 10.1080/00150199208227068
Electrical and mechanical losses in Mn-doped Pb(TiZr)O3solid solutions
  • Feb 1, 1992
  • Ferroelectrics
  • Miroslav Boudyš + 2 more

The close correlation between electrical losses tan δ and mechanical quality factor Qm has not been confirmed to be valid for Mn - doped PZT ceramics with Mn - content higher than 0.5%mol MnO2. This effect can be understood in terms of anomalous dielectric losses caused by a heterogeneous phase structure in PZT ceramics. Frequency dependencies of tan δ and permittivity ε were measured in range 10−2 to 107 Hz. Phase relations in samples with heterogeneous structure were calculated using results of the measured dependencies and Maxwell - Wagner losses terms and correlated with X - ray microanalysis patterns.

  • Research Article
  • Cite Count Icon 17
  • 10.1016/j.ces.2010.01.005
Profiles of solid fraction and heterogeneous phase structure in a gas–solid airlift loop reactor
  • Jan 14, 2010
  • Chemical Engineering Science
  • Chaoyu Yan + 4 more

Profiles of solid fraction and heterogeneous phase structure in a gas–solid airlift loop reactor

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  • 10.1080/10584587.2016.1171122
Polarized Raman study on phase transitions of the nanodomains in 0.24Pb(In1/2Nb1/2)O3–0.43Pb(Mg1/3Nb2/3)O3–0.33PbTiO3 ferroelectric single crystal
  • Mar 23, 2016
  • Integrated Ferroelectrics
  • Fengmin Wu + 7 more

ABSTRACTAt room temperature, 0.46PIN-0.23PMN-0.33PT single crystals with compositions near the morphotropic phase boundary (MPB) can be induced ferroelectric phase transition by applying an electric field along the direction of [001]c, and the phase change can also explain the origin of the excellent piezoelectric properties of the relaxation ferroelectric single crystal. In the phase boundary components, relaxation properties of single crystal and possible phase structure cause the structure of heterogeneity and uncertainty, and in the process of domain engineering, domain induced polarization rotation and the metastable phase, such as photograph, monoclinic which play an important role on the characteristics of piezoelectric materials. Firstly, the local lattice structure and phase transitions of unpoled 0.24PIN-0.43PMN-0.33PT single crystal were studied by Micro-Raman spectroscopy at room temperature. A total of 11 Raman active modes were ascertained using the Gauss line shape approximation, which deduces that 0.43PIN-0.26PMN-0.33PT single crystal with morph tropic phase boundary (MPB) composition has monoclinic symmetry. Then MB-MC monoclinic phase transition induced by electric field was studied, from the point of view of energy, the MC monoclinic phase structure is more stable than MB monoclinic phase structure.

  • Research Article
  • Cite Count Icon 102
  • 10.1029/2019tc005756
The Influence of Structural Inheritance and Multiphase Extension on Rift Development, the NorthernNorth Sea
  • Dec 1, 2019
  • Tectonics
  • Thomas B Phillips + 7 more

The northern North Sea rift evolved through multiple rift phases within a highly heterogeneous crystalline basement. The geometry and evolution of syn‐rift depocenters during this multiphase evolution and the mechanisms and extent to which they were influenced by preexisting structural heterogeneities remain elusive, particularly at the regional scale. Using an extensive database of borehole‐constrained 2D seismic reflection data, we examine how the physiography of the northern North Sea rift evolved throughout late Permian‐Early Triassic (RP1) and Late Jurassic‐Early Cretaceous (RP2) rift phases, and assess the influence of basement structures related to the Caledonian orogeny and subsequent Devonian extension. During RP1, the location of major depocenters, the Stord and East Shetland basins, was controlled by favorably oriented Devonian shear zones. RP2 shows a diminished influence from structural heterogeneities, activity localizes along the Viking‐Sogn graben system and the East Shetland Basin, with negligible activity in the Stord Basin and Horda Platform. The Utsira High and the Devonian Lomre Shear Zone form the eastern barrier to rift activity during RP2. Toward the end of RP2, rift activity migrated northward as extension related to opening of the proto‐North Atlantic becomes the dominant regional stress as rift activity in the northern North Sea decreases. Through documenting the evolving syn‐rift depocenters of the northern North Sea rift, we show how structural heterogeneities and prior rift phases influence regional rift physiography and kinematics, controlling the segmentation of depocenters, as well as the locations, styles, and magnitude of fault activity and reactivation during subsequent events.

  • Research Article
  • Cite Count Icon 54
  • 10.1039/c4ra06818a
Nitrogen-doped carbon dots with heterogeneous multi-layered structures
  • Aug 12, 2014
  • RSC Advances
  • Fengyi Du + 12 more

Photoluminescent carbon dots (CDs) with graphite-like phase structure have been widely reported. Herein, we first report nitrogen-doped carbon dots (NCDs) with heterogeneous multi-layered structures by bottom-up hydrothermal carbonization process. The formation and surface passivation of NCDs was accomplished simultaneously. The as-prepared NCDs possess stable photoluminescence, solubility in water and various functional groups on their surface. XRD results clearly showed that there were two kinds of interlayer lattice spaces in the phase structure of prepared NCDs, which corresponded to the {002} plane of graphite and the {001} plane of graphite oxide. We further demonstrated that NCDs with good biocompatibility were easily and quickly internalized by cancer cells and are particularly suitable for multicolour real-time cellular imaging.

  • Research Article
  • Cite Count Icon 23
  • 10.1016/0032-3861(81)90380-3
A broad-line nuclear magnetic resonance investigation of polyacrylonitrile phase structure and chain conformation
  • Dec 1, 1981
  • Polymer
  • J Grobelny + 2 more

A broad-line nuclear magnetic resonance investigation of polyacrylonitrile phase structure and chain conformation

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