Готові списки джерел за темами / Carrera Unified Formulation

Добірка наукової літератури з теми "Carrera Unified Formulation"

Автор: Grafiati

Опубліковано: 14 березня 2023

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Статті в журналах з теми "Carrera Unified Formulation"

Pagani, A., M. Petrolo, and E. Carrera. "Dynamic response of laminated and sandwich composite structures via 1D models based on Chebyshev polynomials." Journal of Sandwich Structures & Materials 21, no. 4 (July 7, 2017): 1428–44. http://dx.doi.org/10.1177/1099636217715582.

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This article presents the dynamic response of composite structures via refined beam models. The mode superposition method was used, and the Carrera Unified Formulation was exploited to create the advanced structural models. The finite element method was employed to compute the natural frequencies and modes. The main novelty of this article concerns the use of Chebyshev polynomials to define the displacement field above the cross-section of the beam. In particular, polynomials of the second kind were adopted, and the results were compared with those from analytical solutions and already established Carrera Unified Formulation-based beam models, which utilize Taylor and Lagrange polynomials to develop refined kinematics theories. Sandwich beams and laminated, thin-walled box beams were considered. Non-classical effects such as the cross-section distortion and bending/torsion coupling were evaluated. The results confirm the validity of the Carrera Unified Formulation for the implementation of refined structural models with any expansion functions and orders. In particular, the Chebyshev polynomials provide accuracies very similar to those from Taylor models. The use of high-order expansions, e.g. seventh-order, leads to results as accurate as those of Lagrange models which, from previous publications, are known as the most accurate Carrera Unified Formulation 1D models for this type of structural problems.

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Carrera, Erasmo, and Enrico Zappino. "Carrera Unified Formulation for Free-Vibration Analysis of Aircraft Structures." AIAA Journal 54, no. 1 (January 2016): 280–92. http://dx.doi.org/10.2514/1.j054265.

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Bharati, Raj B., M. Filippi, Prashanta K. Mahato, and E. Carrera. "Flutter analysis of laminated composite structures using Carrera Unified Formulation." Composite Structures 253 (December 2020): 112759. http://dx.doi.org/10.1016/j.compstruct.2020.112759.

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Arruda, M. R. T., L. M. S. Castro, A. J. M. Ferreira, D. Martins, and J. R. Correia. "Physically non-linear analysis of beam models using Carrera Unified Formulation." Composite Structures 195 (July 2018): 60–73. http://dx.doi.org/10.1016/j.compstruct.2018.03.107.

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Carrera, E., M. Filippi, and E. Zappino. "Free vibration analysis of rotating composite blades via Carrera Unified Formulation." Composite Structures 106 (December 2013): 317–25. http://dx.doi.org/10.1016/j.compstruct.2013.05.055.

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Ribeiro, Marcelo L., Gregório F. O. Ferreira, Ricardo de Medeiros, António J. M. Ferreira, and Volnei Tita. "Experimental and numerical dynamic analysis of laminate plates via Carrera Unified Formulation." Composite Structures 202 (October 2018): 1176–85. http://dx.doi.org/10.1016/j.compstruct.2018.05.085.

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Yan, Yang, Erasmo Carrera, Alfonso Pagani, Ibrahim Kaleel, and Alberto Garcia de Miguel. "Isogeometric analysis of 3D straight beam-type structures by Carrera Unified Formulation." Applied Mathematical Modelling 79 (March 2020): 768–92. http://dx.doi.org/10.1016/j.apm.2019.11.003.

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Arruda, M. R. T., L. M. S. Castro, A. J. M. Ferreira, M. Garrido, J. Gonilha, and J. R. Correia. "Analysis of composite layered beams using Carrera unified formulation with Legendre approximation." Composites Part B: Engineering 137 (March 2018): 39–50. http://dx.doi.org/10.1016/j.compositesb.2017.10.040.

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Carrera, Erasmo, Enrico Zappino, and Guohong Li. "Analysis of beams with piezo-patches by node-dependent kinematic finite element method models." Journal of Intelligent Material Systems and Structures 29, no. 7 (October 23, 2017): 1379–93. http://dx.doi.org/10.1177/1045389x17733332.

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Анотація:

This article presents a family of one-dimensional finite element method models with node-dependent kinematics for the analysis of beam structures with piezo-patches. The models proposed are built by applying Carrera unified formulation. Carrera unified formulation permits to obtain finite element method stiffness matrices through so-called fundamental nuclei whose form is independent of the assumptions made for the displacement/electrical field over the cross section of a beam. In the previous works, uniform kinematic assumptions have been applied to all the nodes within the same element. The present contribution proposes to use different kinematics on different nodes, leading to node-dependent kinematic finite element method formulations. In such an approach, non-uniform cross sections introduced by piezo-patches can be considered. With the help of layer-wise models, piezoelectric and mechanical domains each can possess individual constitutive relations. Meanwhile, node-dependent kinematics can integrate equivalent single layer models and layer-wise models to reach an optimal balance between accuracy and use of computational resources. Static governing equations for beam elements with node-dependent kinematics accounting for electromechanical effects are derived from the principle of virtual displacements. The competence of the proposed approach is validated by comparing the obtained results with solutions taken from the literature and ABAQUS three-dimensional modelling. Both extension and shear actuation mechanisms are considered.

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Ferreira, A. J. M., C. M. C. Roque, E. Carrera, M. Cinefra, and O. Polit. "Two higher order Zig-Zag theories for the accurate analysis of bending, vibration and buckling response of laminated plates by radial basis functions collocation and a unified formulation." Journal of Composite Materials 45, no. 24 (May 10, 2011): 2523–36. http://dx.doi.org/10.1177/0021998311401103.

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In this article, we combine the Carrera's Unified Formulation, CUF (Carrera E. Theories and Finite elements for multilayered plates and shells: A unified compact formulation with numerical assessment and benchmarking. Arch. Comput. Methods Eng., 2003; 10: 215–297.) and a radial basis function collocation technique for predicting the static deformations, free vibrations and buckling behavior of thin and thick cross-ply laminated plates. We develop by the CUF two Zig-Zag theories according to Murakami's Zig-Zag function. Both theories account for through-the-thickness deformations, allowing the analysis of thick plates. The accuracy and efficiency of this collocation technique for static, vibration, and buckling problems are demonstrated through numerical examples.

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Більше джерел

Дисертації з теми "Carrera Unified Formulation"

Wenzel, Christian. "Local FEM Analysis of Composite Beams and Plates : free-Edge effect and Incompatible Kinematics Coupling." Thesis, Paris 10, 2014. http://www.theses.fr/2014PA100107/document.

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Cette thèse traite des problèmes des concentrations de contraintes locales, en particularité des effets des bords libres dans des structures stratifiés. À l'interface entre deux couches avec des propriétés élastiques différentes, les contraintes ont un comportement singulier dans le voisinage du bord libre en supposant un comportement de matériau élastique linéaire. Par conséquent, ils sont essentiels pour promouvoir le délaminage. Via Formulation unifiée de la Carrera (CUF) différents modèles cinématiques sont testés dans le but de capter les concentrations de contraintes. Dans la première partie de ce travail, les approches de modélisation dimensionnelle réduits sont comparées. Deux classe principale sont présentés: la couche équivalent (ESL) et l'approche par couche, LW. Par la suite leurs capacités à capter les singularités sont comparées. En utilisant une fonction a priori singulière, via une expression exponentielle, une mesure des contraintes singulières est introduite. Seulement deux paramètres décrivent pleinement les composantes des contraintes singulières au voisinage du bord libre. Sur la base des paramètres obtenus les modèles sont comparés et aussi les effets sous des charges d'extension et de flexion et pour différents stratifiés. Les résultats montrent une nécessité des modèles complexes dans le voisinage du bord libre. Cependant loin des bords libres, dans le centre de plaques composite, aucune différence significative ne peut être noté pour les modèles plutôt simples. La deuxième partie de ce travail est donc dédiée au couplage de modèles cinématique incompatibles. Modèles complexes et coûteux sont utilisés seulement dans des domaines locaux d'intérêt, tandis que les modèles économiques simples seront modéliser le domaine global. La eXtended Variational Formulation (XVF) est utilisé pour coupler les modèles de dimensionnalité homogènes mais de cinématique hétérogènes. Ici pas de recouvrement de domaine est présent. En outre, le XVF offre la possibilité d'adapter les conditions imposées à l'interface en utilisant un paramètre scalaire unique. On montre que, pour le problème de dimensionnalité homogène, que deux conditions différentes peuvent être imposées par ce paramètre. Un correspondant à des conditions fortes des Multi Point Constraints (MPC) et un second fournir des conditions faibles. La dernière offre la possibilité de réduire extrêmement le domaine qui utilise le modèle cinématique complexe, sans perte de précision locale. Comme il s'agit de la première application de la XVF vers les structures composites, le besoin d'un nouvel opérateur de couplage a été identifié. Un nouveau formulaire est proposé, testé et sa robustesse sera évaluée
This work considers local stress concentrations, especially the free-Edge effects of multilayered structures. At the interface of two adjacent layers with different elastic properties, the stresses can become singular in the intermediate vicinity of the free edge. This is valid while assuming a linear elastic material behaviour. As a consequence this zones are an essential delamination trigger. Via the Carrera Unified Formulation (CUF), different kinematical models are testes in order to obtain the correct local stress concentration. In the first part of this work, the reduced dimensional modelling approaches are compared. Two main class are presented: Equivalent Single Layer (ESL) models treating the layered structure like one homogenous plate of equal mechanical proper- ties, and the Layer Wise approach, treating each layer independently. Subsequently their capabilities to capture the appearing singularities are compared. In order to have a comparable measurement of those singularities, the obtained stress distributions will be expressed via a power law function, which has a priori a singular behaviour. Only two parameters fully describe therefore the singular stress components in the vicinity of the free edge. With the help of these two parameters not only the different models capabilities will be compared, but also the free edge effect itself will be measured and compared for different symmetrical laminates and the case of extensional and uniform bending load. The results for all laminates under both load cases confirm the before stated need for rather complex models in the vicinity of the free edge. However far from the free edges, in the composite plates centre, no significant difference can be noted for rather simple models. The second part of this work is therefore dedicated to the coupling of kinematically incompatible models. The use of costly expensive complex models is restricted to local domains of interest, while economic simple models will model the global do- main. The Extended Variational Formulation (XVF) is identified as the most suitable way to couple the kinematically heterogenous but dimensional homogenous models. As it uses a configuration with one common interface without domain overlap, the additional efforts for establishing the coupling are limited. Further the XVF offers the possibility to adapt the conditions imposed at the interface using a single scalar parameter. It will be shown that for the homogenous dimensional problem under consideration only two different conditions can be imposed by this parameter. One matching the strong conditions imposed by the classical Multi Point Constrains (MPC) and a second one providing a weak condition. The last one is shown to provide the possibility to reduce further the domain using the complex kinematical model, without the loss of local precision. As this is the first application of the XVF towards composite structures, the need for a new coupling operator was identified. A new form is proposed, tested and its robustness will be evaluated

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Частини книг з теми "Carrera Unified Formulation"

Hui, Y., G. Giunta, S. Belouettar, H. Hu, and E. Carrera. "Multiscale Nonlinear Analysis of Beam Structures by Means of the Carrera Unified Formulation." In Advances in Predictive Models and Methodologies for Numerically Efficient Linear and Nonlinear Analysis of Composites, 47–63. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-11969-0_4.

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"Carrera Unified Formulation (CUF)." In Encyclopedia of Continuum Mechanics, 257. Berlin, Heidelberg: Springer Berlin Heidelberg, 2020. http://dx.doi.org/10.1007/978-3-662-55771-6_300076.

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"Carrera Unified Formulation and Refined Beam Theories." In Beam Structures, 45–63. Chichester, UK: John Wiley & Sons, Ltd, 2011. http://dx.doi.org/10.1002/9781119978565.ch5.

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Тези доповідей конференцій з теми "Carrera Unified Formulation"

Sartorato, Murilo, Ricardo De Medeiros, Antonio Ferreira, Volnei Tita, and Marcelo Leite Ribeiro. "Dynamic analysis of laminate plates via Carrera Unified Formulation." In 24th ABCM International Congress of Mechanical Engineering. ABCM, 2017. http://dx.doi.org/10.26678/abcm.cobem2017.cob17-0168.

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Carrera, E., A. Pagani, B. Wu, and M. Filippi. "Large-Deformation Analysis of Elastomeric Structures by Carrera Unified Formulation." In ASME 2019 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2019. http://dx.doi.org/10.1115/imece2019-11364.

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Abstract Based on the well-known nonlinear hyperelasticity theory and by using the Carrera Unified Formulation (CUF) as well as a total Lagrangian approach, the unified theory of slightly compressible elastomeric structures including geometrical and physical nonlinearities is developed in this work. By exploiting CUF, the principle of virtual work and a finite element approximation, nonlinear governing equations corresponding to the slightly compressible elastomeric structures are straightforwardly formulated in terms of the fundamental nuclei, which are independent of the theory approximation order. Accordingly, the explicit forms of the secant and tangent stiffness matrices of the unified 1D beam and 2D plate elements are derived by using the three-dimensional Cauchy-Green deformation tensor and the nonlinear constitutive equation for slightly incompressible hyperelastic materials. Several numerical assessments are conducted, including uniaxial tension nonlinear response of rectangular elastomeric beams. Our numerical findings demonstrate the capabilities of the CUF model to calculate the large-deformation equilibrium curves as well as the stress distributions with high accuracy.

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Nicassio, Francesco, Maria Cinefra, Gennaro Scarselli, Matteo Filippi, Alfonso Pagani, and Erasmo Carrera. "Carrera unified formulation (CUF) for the analysis of disbonds in single lap joints (SLJ)." In Nondestructive Characterization and Monitoring of Advanced Materials, Aerospace, Civil Infrastructure, and Transportation XVI, edited by Peter J. Shull, Tzuyang Yu, Andrew L. Gyekenyesi, and H. Felix Wu. SPIE, 2022. http://dx.doi.org/10.1117/12.2616542.

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Zappino, Enrico, and Erasmo Carrera. "Mixed One-/Two-Dimensional Models With Node Dependent Kinematic Capabilities for the Analysis of Metallic and Composite Structures." In ASME 2018 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2018. http://dx.doi.org/10.1115/imece2018-87490.

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The present paper presents an innovative approach to connect one-/two-dimensional models using a unified formulation with node-dependent kinematic capabilities. These models can use a different kinematics approximation at each node of the element. Carrera Unified Formulation has been used to derive the governing equations in a compact and general form. The possibility to connect one- and two-dimensional elements, and eventually to refine the kinematic model locally, has lead to a general reduction of the computational costs guaranteeing the same numerical accuracy.

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Carrera, Erasmo, Alberto García de Miguel, Alfonso Pagani, and Enrico Zappino. "Reissner’s Mixed Variational Theorem for Layer-Wise Refined Beam Models Based on the Unified Formulation." In ASME 2017 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2017. http://dx.doi.org/10.1115/imece2017-71612.

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The present paper proposes the application of the Reissners Mixed Variational Theorem (RMVT) for the accurate stress analysis of general multi-layered beam problems. Laminated materials usually differ from homogeneous materials in that they exhibit much higher transverse shear and transverse normal deformabilities. These characteristics, and others such as the Transverse Anisotropy (TA) and the Interlaminar Continuity of transverse stresses (IC), make Classical Laminated Theories (CLT) inappropriate for the analysis of multi-layered structures. The Carrera Unified Formulation (CUF) sets a framework in which classical-to-refined beam models can be generated by expanding the unknown variables over the cross-sectional domain by means of arbitrary functions. A LW expansion is adopted for both displacements and transverse stresses over the cross-section section domain. In this manner, the ZZ condition is automatically satisfied through the use of independent kinematics for each layer in a LW sense, with no need of introducing ad-hoc ZZ functions.

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Kaleel, Ibrahim, Marco Petrolo, Erasmo Carrera, and Anthony M. Waas. "Micromechanical Progressive Failure Analysis of Fiber-Reinforced Composite Using Refined Beam Models." In ASME 2017 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2017. http://dx.doi.org/10.1115/imece2017-71304.

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An efficient and novel micromechanical computational platform for progressive failure analysis of fiber reinforced composites is presented. The numerical framework is based on a class of refined beam models called Carrera Unified Formulation (CUF), a generalized hierarchical formulation which yields a refined structural theory via variable kinematic description. The crack band theory is implemented in the framework to capture the damage propagation within the constituents of composite materials. A representative volume element (RVE) containing randomly distributed fibers is modeled using the Component-Wise approach (CW), an extension of CUF beam model based on Lagrange type polynomials. The efficiency of the proposed numerical framework is achieved through the ability of the CUF models to provide accurate three-dimensional displacement and stress fields at a reduced computational cost.

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Filippi, Matteo, and Erasmo Carrera. "Advanced Zig-Zag Beam Theories for Sandwich Structures Analyses." In ASME 2018 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2018. http://dx.doi.org/10.1115/imece2018-86783.

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This work aims at evaluating the capabilities of several higher-order beam formulations for stress and dynamic analyses of layered sandwich structures. The structural models are conceived within the framework of the Carrera Unified Formulation (CUF) that allows one to generate (and compare) an infinite number of displacement fields. The number and the type of functions that are selected to generate the kinematic expansions are input parameters of the problem. Besides the well-known Taylor- and Lagrange-type expansions, great attention is paid to a new class of advanced higher-order zig-zag theories, which are written as combinations of continuous piecewise polynomial functions. Numerical simulations are performed on laminated and sandwich beams with very low length-to-depth ratio values. Also, structures with soft layers made of viscoelastic materials are considered to investigate the different dissipation mechanisms.

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Carrera, Erasmo, and Enrico Zappino. "Analysis of Complex Structures Coupling Variable Kinematics One-Dimensional Models." In ASME 2014 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2014. http://dx.doi.org/10.1115/imece2014-37961.

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One-dimensional models are widely used in mechanical design. Classical models, Euler-Bernoulli or Timoshenko, ensure a low computational cost but are limited by their assumptions, many refined models were proposed to overcome these limitations and extend one-dimensional models at the analysis of complex geometries or advanced materials. In this work a new approach is proposed to couple different kinematic models. A new finite element is introduced in order to connect one-dimensional elements with different displacement fields. The model is derived in the frameworks of the Carrera Unified Formulation (CUF), therefore the formulation can be written in terms of fundamental nuclei. The results show that the use variable kinematic models allows the computational costs to be reduced without reduce the accuracy, moreover, refined-one dimensional models can be used in the analysis of complex structures.

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ZAPPINO, ENRICO, NAVID ZOBEIRY, and MARCO PETROLO. "AN EFFICIENT NUMERICAL APPROACH TO EVALUATE PROCESS-INDUCED FREE-EDGE STRESSES IN LAMINATED COMPOSITES." In Proceedings for the American Society for Composites-Thirty Seventh Technical Conference. Destech Publications, Inc., 2022. http://dx.doi.org/10.12783/asc37/36371.

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This paper presents an advanced modeling approach to predict process-induced residual stresses at the free-edge of laminated structures. The numerical model is based on the Carrera Unified Formulation, a numerical tool that allows any kinematic model to be considered without an ad hoc implementation. A layer-wise kinematic model has been adopted to detect the through-the-thickness distributions of transversal stresses. The process's evolution of the material properties is obtained by the RAVEN ® software. A cure hardening instantaneously linear elastic (CHILE) constitutive model was adopted. Peeling and transverse shear stress distributions along free-edges were computed and proved to be very high and localized.

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NAGARAJ, MANISH H., and MARIANNA MAIARU. "MICRO-SCALE PROCESS MODELING AND EVALUATION OF CURING-INDUCED RESIDUAL STRESSES IN FIBER-REINFORCED POLYMERS USING HIGHER-ORDER FE MODELS." In Proceedings for the American Society for Composites-Thirty Seventh Technical Conference. Destech Publications, Inc., 2022. http://dx.doi.org/10.12783/asc37/36449.

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This manuscript presents the analysis of the curing process of thermoset polymers to predict the cure-induced residual stresses at the micro-scale level. A phenomenological cure kinetics model is used to describe the polymerization process, while an instantaneous linear-elastic constitutive law is used to predict residual stress. The computational model leverages higher-order structural theories derived from the Carrera Unified Formulation. A ten-fiber randomly packed repeating unit cell is virtually cured using the proposed higher-order method. The predicted stress state is shown to agree with reference results based on 3D finite element analysis while achieving a multi-fold reduction in the computational effort.

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