Relevant bibliographies by topics / Micropolar theory

Contents

  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers

Academic literature on the topic 'Micropolar theory'

Author: Grafiati
Published: 4 June 2021
Last updated: 26 July 2025

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Journal articles on the topic "Micropolar theory"

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Мурашкин, Евгений Валерьевич, and Юрий Николаевич Радаев. "On the theory of linear micropolar hemitropic media." Вестник Чувашского государственного педагогического университета им. И.Я. Яковлева. Серия: Механика предельного состояния, no. 4(46) (December 30, 2020): 16–24. http://dx.doi.org/10.37972/chgpu.2020.89.81.031.

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В статье рассматриваются вопросы применения относительных тензоров при моделирвоании гемитропных микрополярных сред. Вводится определяющая форма микрополярного упругого потенциала. С помощью принципа виртуальной работы получаются определяющие уравнения для силовых и моментных характеристик микрополярного континуума в терминах относительных тензоров. Приводятся уравнения движения микрополярного континуума в терминах относительных тензоров. Выводится финальная форма динамических уравнений для перемещений и микровращений в случае полуизотропной (гемитропной) симметрии. The paper deals with the ap
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Xue, Bing Bing, Hong Yu Xu, Zhu Mu Fu, and Qing Yong Sun. "Effect of Thermal Relaxation on Propagation of Longitudinal Displacement Wave." Advanced Materials Research 146-147 (October 2010): 314–17. http://dx.doi.org/10.4028/www.scientific.net/amr.146-147.314.

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The micropolar elasticity theory takes into consideration the granular character of the medium, describes deformations by a microrotation and a microdisplacement. A model can be applied to the coupled theory as well as to five generalizations, such as L-S theory, G-L theory, H-I theory, G-N theory of type (II) and C-T theory. And if some parameters in this model are taken as given values, we can easily deduce the known models of Kelvin-Voigt model and other generalized micropolar/magneto/thermo/viscoelastic theory model. Employing the model of micropolar generalized magneto-thermo-elasticity,
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Hassanpour, Soroosh, and Glenn R. Heppler. "Micropolar elasticity theory: a survey of linear isotropic equations, representative notations, and experimental investigations." Mathematics and Mechanics of Solids 22, no. 2 (2016): 224–42. http://dx.doi.org/10.1177/1081286515581183.

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This paper is devoted to a review of the linear isotropic theory of micropolar elasticity and its development with a focus on the notation used to represent the micropolar elastic moduli and the experimental efforts taken to measure them. Notation, not only the selected symbols but also the approaches used for denoting the material elastic constants involved in the model, can play an important role in the micropolar elasticity theory especially in the context of investigating its relationship with the couple-stress and classical elasticity theories. Two categories of notation, one with coupled
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Chen, James. "Micropolar Theory of Flexoelectricity." Journal of Advanced Mathematics and Applications 1, no. 2 (2012): 269–74. http://dx.doi.org/10.1166/jama.2012.1021.

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Etse, G., M. Nieto, and P. Steinmann. "A micropolar microplane theory." International Journal of Engineering Science 41, no. 13-14 (2003): 1631–48. http://dx.doi.org/10.1016/s0020-7225(03)00031-4.

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Dehbani, Hossein, Mohsen Jabbari, Ahmad Reza Khorshidvand та Mehrdad Javadi. "Two-dimensional analytical solution of micropolar magneto-thermoelasticity FGM hollow cylinder under asymmetric load (r, θ)". Physica Scripta 96, № 12 (2021): 125720. http://dx.doi.org/10.1088/1402-4896/ac3313.

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Abstract This paper presents a two-dimensional analytical solution (r, θ) to study micropolar magneto-thermoelasticity for a hollow cylinder, made of FGMs, under steady-state conditions. The physical properties of materials are in the form of a power function and undergo changes in the direction of the radius. To solve the heat transfer equation and Navier equations, the complex Fourier series and the power-law functions are used. By solving the equations using the general thermal and mechanical asymmetric boundary conditions on the inner and outer surface of the cylinder, radial displacement,
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Dang, Song Yang, Hong Yu Xu, Qing Yong Sun, and Bin Liang. "Propagation Characteristics of Coupled Wave through Micropolar Fluid Interlayer in Micropolar Elastic Solid." Advanced Materials Research 721 (July 2013): 729–32. http://dx.doi.org/10.4028/www.scientific.net/amr.721.729.

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Based on micropolar fluid theory and micropolar solid elasticity theory, reflection and transmission characteristics of longitudinal displacement wave and two coupled waves were studied when incident coupled wave propagated through micropolar fluid interlayer in micropolar elastic solid. Using numerical example, the rules of the reflection waves and refraction waves amplitudes varied with incident angle are also discussed. Results show that there exist extremum values of reflection and transmission coefficient for coupled wave. There are two peaks and one zero value of transmission coefficient
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Xue, Bing Bing, Hong Yu Xu, Zhu Mu Fu, and Qing Yong Sun. "Reflection and Refraction of Longitudinal Displacement Wave at Interface between Two Micropolar Elastic Solid." Advanced Materials Research 139-141 (October 2010): 214–17. http://dx.doi.org/10.4028/www.scientific.net/amr.139-141.214.

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Using the model of generalized micropolar magneto-thermo-elasticity, reflection and refraction of longitudinal displacement wave at interface of two welded micropolar elastic media are studied. The model can be applied to the coupled theory as well as to five generalizations, such as L-S theory, G-L theory, H-I theory, G-N theory of type (II) and C-T theory. And if some parameters in this model are taken as given values, we can easily deduce the known models of Kelvin-Voigt model and other generalized micropolar/magneto/thermo/viscoelastic theory model. Using continuous conditions at the inter
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Galeş, C. "A Mixture Theory for Micropolar Thermoelastic Solids." Mathematical Problems in Engineering 2007 (2007): 1–21. http://dx.doi.org/10.1155/2007/90672.

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We derive a nonlinear theory of heat-conducting micropolar mixtures in Lagrangian description. The kinematics, balance laws, and constitutive equations are examined and utilized to develop a nonlinear theory for binary mixtures of micropolar thermoelastic solids. The initial boundary value problem is formulated. Then, the theory is linearized and a uniqueness result is established.
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Sun, Qing Yong, Hong Yu Xu, and Bin Liang. "Propagation Characteristics of Longitudinal Displacement Wave in Micropolar Fluid with Micropolar Elastic Plate." Materials Science Forum 694 (July 2011): 923–27. http://dx.doi.org/10.4028/www.scientific.net/msf.694.923.

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Based on micropolar fluid theory and micropolar solid elasticity theory, reflection and transmission characteristics of three kinds of micropolar elastic waves, which are longitudinal displacement wave and two coupled waves, were studied when incident longitudinal displacement wave propagated in micropolar fluid with micropolar elastic plate. Using numerical example, the variations of various amplitudes are also shown against the angle of incidence and the variation characteristics of various amplitudes are discussed. Results show that there exist maximum values of reflection and transmission
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Dissertations / Theses on the topic "Micropolar theory"

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Salehian, Armaghan. "Micropolar Continuum Modeling of Large Space Structures with Flexible Joints and Thermal Effects: Theory and Experiment." Diss., Virginia Tech, 2008. http://hdl.handle.net/10919/26167.

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The presented work is intended to develop a geometrically reduced order (homogenized) model for a large antenna space structure with flexible joints. An energy equivalence concept is employed to find the continuum model for the system. The kinetic and strain energy expressions of the fundamental elements are found based on the assumptions of the micropolar elasticity theory. Necessary assumptions are made to reduce the order of the strain variables while retaining the effects of the micro-rotations that are coupled to the primary strain terms. As a result, a micropolar-based continuum model is
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Grbčić, Sara. "Linked interpolation and strain invariance in finite-element modelling of micropolar continuum." Thesis, Compiègne, 2018. http://www.theses.fr/2018COMP2454.

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Au cœur de cette thèse est une théorie de continuum alternatif connue comme la théorie micropolaire, qui est développée pour décrire des phénomènes lesquels on ne peut pas décrire en utilisant la théorie classique. Dans cette théorie, en complément du champ de déplacement, il existe aussi un autre champ indépendant, celui de microrotation, et afin de pouvoir décrire complètement un tel matériau, six paramètres des matériaux sont nécessaires. Dans le cadre de la modélisation par éléments finis, nouveaux éléments fondés sur la théorie micropolaire dans les régimes linéaire et géométriquement non
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Liu, Jiangxin. "Etude numérique de la localisation des déformations en géotechnique dans le cadre de la théorie micropolaire." Thesis, Ecole centrale de Nantes, 2018. http://www.theses.fr/2018ECDN0005/document.

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La plupart des ruptures des structures géotechniques sont associées aux phénomènes de localisation des déformations, qui s'accompagnent toujours d'un adoucissement de la résistance. De nombreuses observations expérimentales montrent que d’importants réarrangements et rotations de particules se produisent à l'intérieur des bandes de cisaillement. Cette thèse vise à étudier numériquement les phénomènes de localisation des déformations dans les matériaux granulaires. Considérant les problèmes de dépendance au maillage dans l'analyse par éléments finis dans le cadre de la modélisation continue cla
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Ngarmnil, Jitkasame. "Micropower log-domain circuits : theory and applications." Thesis, Imperial College London, 1996. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.249879.

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Kelson, Neil. "Study of industrially relevant boundary layer and axisymmetric flows, including swirl and turbulence." Thesis, Queensland University of Technology, 2000. https://eprints.qut.edu.au/37083/1/37083_Digitised%20Thesis.pdf.

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Micropolar and RNG-based modelling of industrially relevant boundary layer and recirculating swirling flows is described. Both models contain a number of adjustable parameters and auxiliary conditions that must be either modelled or experimentally determined, and the effects of varying these on the resulting flow solutions is quantified. To these ends, the behaviour of the micropolar model for self-similar flow over a surface that is both stretching and transpiring is explored in depth. The simplified governing equations permit both analytic and numerical approaches to be adopted, and a numbe
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AUGELLO, RICCARDO. "Advanced FEs for the micropolar and geometrical nonlinear analyses of composite structures." Doctoral thesis, Politecnico di Torino, 2021. http://hdl.handle.net/11583/2872330.

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Liang, Keo-Zoo, and 梁國柱. "Boundary Element Method for Micropolar Theory." Thesis, 1996. http://ndltd.ncl.edu.tw/handle/03071129700747236067.

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博士<br>國立中央大學<br>機械工程學系<br>84<br>The boundary element method is a numerical method of high efficiency. Ithas been widely used to solve the problems of classical elasticity theory.The main goal of this thesis is to develop a boundary element formulationbased on the micropolar theory to solve the problem with complicatedboundary conditions. First of all, we derive a generalized boundary integral equation withweighted residual method based on the micropolar elasticity theory. Bothtwo and three
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Yang, Der-Uei, and 楊德威. "Analysis of the effect of Poisson's ratio for the honeycomb structure using the micropolar elasticity theory." Thesis, 2002. http://ndltd.ncl.edu.tw/handle/80184849611476832709.

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Deepu, S. P. "Non-Local Continuum Models for Damage in Solids and Delamination of Composites." Thesis, 2017. http://etd.iisc.ac.in/handle/2005/4206.

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The focus of the thesis is on developing new damage models for brittle materials and using these to study delamination of composite structures. Chapter 1 gives an introductory literature review in order to motivate the work undertaken in the chapters to follow. Chapter 2 deals with a new micropolar damage model for delamination in composites. By combining phase field theory and peridynamics, Chapter 3 develops a new formalism to study damage in brittle materials under dynamic loading. Chapter 4 exploits and extends this idea for modelling delamination of composites. An extended chapter-wise su
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Riahi, Dehkordi Azadeh. "3D Finite Element Cosserat Continuum Simulation of Layered Geomaterials." Thesis, 2008. http://hdl.handle.net/1807/17250.

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The goal of this research is to develop a robust, continuum-based approach for a three-dimensional, Finite Element Method (FEM) simulation of layered geomaterials. There are two main approaches to the numerical modeling of layered geomaterials; discrete or discontinuous techniques and an equivalent continuum concept. In the discontinuous methodology, joints are explicitly simulated. Naturally, discrete techniques provide a more accurate description of discontinuous materials. However, they are complex and necessitate care in modeling of the interface. Also, in many applications, the definition
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Books on the topic "Micropolar theory"

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Dyszlewicz, Janusz. Micropolar Theory of Elasticity. Springer Berlin Heidelberg, 2004. http://dx.doi.org/10.1007/978-3-540-45286-7.

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Łukaszewicz, Grzegorz. Micropolar fluids: Theory and applications. Birkhäuser, 1999.

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Łukaszewicz, Grzegorz. Micropolar Fluids: Theory and Applications. Birkhäuser Boston, 1999.

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Eremeyev, Victor A. Foundations of Micropolar Mechanics. Springer Berlin Heidelberg, 2013.

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Ambartsumian, Sergey A. Micropolar Theory of Shells and Plates. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-71326-3.

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Dyszlewicz, Janusz. Boundary and initial-boundary value problems of the micropolar theory of elasticity. Oficyna Wydawnicza Politechniki Wrocławskiej, 1997.

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Dyszlewicz, Janusz. Micropolar Theory of Elasticity. Springer, 2010.

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Dyszlewicz, Janusz. Micropolar Theory of Elasticity. Springer, 2004.

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Springer. Micropolar Theory of Elasticity. Springer, 2012.

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Dyszlewicz, Janusz. Micropolar Theory of Elasticity. Springer London, Limited, 2012.

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Book chapters on the topic "Micropolar theory"

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Eringen, A. Cemal. "Theory of Micropolar Elasticity." In Microcontinuum Field Theories. Springer New York, 1999. http://dx.doi.org/10.1007/978-1-4612-0555-5_5.

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Dyszlewicz, Janusz. "Introduction." In Micropolar Theory of Elasticity. Springer Berlin Heidelberg, 2004. http://dx.doi.org/10.1007/978-3-540-45286-7_1.

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Dyszlewicz, Janusz. "Three-dimensional problems." In Micropolar Theory of Elasticity. Springer Berlin Heidelberg, 2004. http://dx.doi.org/10.1007/978-3-540-45286-7_2.

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Dyszlewicz, Janusz. "Axially-symmetric problems." In Micropolar Theory of Elasticity. Springer Berlin Heidelberg, 2004. http://dx.doi.org/10.1007/978-3-540-45286-7_3.

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Dyszlewicz, Janusz. "Two-dimensional problems." In Micropolar Theory of Elasticity. Springer Berlin Heidelberg, 2004. http://dx.doi.org/10.1007/978-3-540-45286-7_4.

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Dyszlewicz, Janusz. "Hemitropic medium." In Micropolar Theory of Elasticity. Springer Berlin Heidelberg, 2004. http://dx.doi.org/10.1007/978-3-540-45286-7_5.

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Vilchevskaya, Elena. "On Micropolar Theory with Inertia Production." In Advanced Structured Materials. Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-30355-6_18.

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Zozulya, V. V. "Higher Order Theory of Micropolar Curved Rods." In Encyclopedia of Continuum Mechanics. Springer Berlin Heidelberg, 2018. http://dx.doi.org/10.1007/978-3-662-53605-6_273-1.

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Hayakawa, H. "Note on a Micropolar Gas-Kinetic Theory." In Traffic and Granular Flow’01. Springer Berlin Heidelberg, 2003. http://dx.doi.org/10.1007/978-3-662-10583-2_42.

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Zozulya, Volodymyr Vasylovych. "Higher Order Theory of Micropolar Curved Rods." In Encyclopedia of Continuum Mechanics. Springer Berlin Heidelberg, 2020. http://dx.doi.org/10.1007/978-3-662-55771-6_273.

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Conference papers on the topic "Micropolar theory"

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Hassanpour, Soroosh, and G. R. Heppler. "Step-by-Step Simplification of the Micropolar Elasticity Theory to the Couple-Stress and Classical Elasticity Theories." In ASME 2014 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2014. http://dx.doi.org/10.1115/imece2014-39216.

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The micropolar elasticity theory provides a useful material model for dealing with fibrous, coarse granular, and large molecule materials. Though being a well-known and well-developed elasticity model, the linear theory of micropolar elasticity is not without controversy. Specially simplification of the microppolar elasticity theory to the couple-stress and classical elasticity theories and the required conditions on the material elastic constants for this simplification have not been discussed consistently. In this paper the linear theory of micropolar elasticity is reviewed first. Then the c
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Ferhat, Y., and I. Ozkol. "The Effects of Dimension Ratio on the Micropolar Peridynamic Model." In ASME 2010 10th Biennial Conference on Engineering Systems Design and Analysis. ASMEDC, 2010. http://dx.doi.org/10.1115/esda2010-25040.

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The aim of this study is to investigate the capability of the micropolar peridynamic theory to analyze elastic behavior of plates with various length and width. Since the quantities such as stress and strain are related to displacement field, only the displacement fields of these structures are computed using the micropolar peridynamic model while Poisson’s ratios are kept constant. The results are compared both to the analytical solution of the classical elasticity theory and to the solution of displacement based finite element methods. The software package ANSYS is used for FEM results. To c
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Zhang, Yan, Ragnar Larsson, Jing-yu Fan, and Johan Liu. "Interface Modelling of ACA Interconnects Using Micropolar Theory." In 2005 Conference on High Density Microsystem Design and Packaging and Component Failure Analysis. IEEE, 2005. http://dx.doi.org/10.1109/hdp.2005.251385.

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Najafi, A., F. Daneshmand, and S. R. Mohebpour. "Analysis of Vibrating Micropolar Plate in Contact With a Fluid." In ASME 2010 3rd Joint US-European Fluids Engineering Summer Meeting collocated with 8th International Conference on Nanochannels, Microchannels, and Minichannels. ASMEDC, 2010. http://dx.doi.org/10.1115/fedsm-icnmm2010-31036.

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Micropolar theory constitutes extension of the classical field theories. It is based on the idea that every particles of the material can make both micro rotation and volumetric micro elongation in addition to the bulk deformation. Since this theory includes the effects of micro structure which could affect the overall behaviour of the medium, it reflects the physical realities much better than the classical theory for the engineering materials. In the micropolar theory, the material points are considered to possess orientations. A material point carrying three rigid directors introduces one e
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Smeets, Mark, Armanj D. Hasanyan, and Paul Davidson. "Modeling and Homogenization of Auxetic Structures Using Higher Order Micropolar Continuum Theory." In ASME 2025 Aerospace Structures, Structural Dynamics, and Materials Conference. American Society of Mechanical Engineers, 2025. https://doi.org/10.1115/ssdm2025-152127.

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Abstract Repeating 2D auxetic patterns can be combined to form a continuous flexible sheet capable of high curvature and unique shaping capabilities. Typical auxetic designs consist of a connecting series of linear or curved struts, such as the commonly studied re-entrant auxetic honeycomb. These designs are tunable by controlling their geometric and material parameters. These parameters alter the macro stiffness behavior of the structure, which is important for meeting stretching and bending criterium determined from its intended application. If a high curvature is required, the auxetic patte
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Hegab, Hisham E., and Guohua Liu. "Fluid flow modeling of micro-orifices using micropolar fluid theory." In Micromachining and Microfabrication, edited by Carlos H. Mastrangelo and Holger Becker. SPIE, 2000. http://dx.doi.org/10.1117/12.395670.

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Kucaba-Pietal, Anna. "SCALE EFFECT IN MICROFLOWS MODELLING WITH THE MICROPOLAR FLUID THEORY." In VII European Congress on Computational Methods in Applied Sciences and Engineering. Institute of Structural Analysis and Antiseismic Research School of Civil Engineering National Technical University of Athens (NTUA) Greece, 2016. http://dx.doi.org/10.7712/100016.2388.12141.

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Kim, Youn J. "Behaviors of Micropolar Flows in a Rotating Annulus." In ASME 2003 1st International Conference on Microchannels and Minichannels. ASMEDC, 2003. http://dx.doi.org/10.1115/icmm2003-1042.

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An analysis is presented for the problem of micropolar flows in the annulus between two steadily rotating concentric cylinders. The local effects arising from microstructure and intrinsic motion of the fluid element that will affect the flow motion are considered. Especially, the effects of non-zero values of micro-gyration vector on the wall boundary conditions are investigated, using micropolar fluid theory. Numerical results of velocity distribution of micropolar fluids are compared with the corresponding flow problems for a Newtonian fluid. Also, the results of the surface friction coeffic
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Rymarz, Czeslaw. "Theory of ferroelectric liquid crystals as micropolar medium in bundle space." In Liquid and Solid State Crystals: Physics, Technology, and Applications, edited by Jozef Zmija. SPIE, 1993. http://dx.doi.org/10.1117/12.156939.

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Prayes Roy, S. "A finite deformation micropolar peridynamic theory and its application to metamaterials." In 16th World Congress on Computational Mechanics and 4th Pan American Congress on Computational Mechanics. CIMNE, 2024. http://dx.doi.org/10.23967/c.wccm.2024.067.

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