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Добірка наукової літератури з теми "Non conforming FEM"

Автор: Grafiati
Опубліковано: 14 березня 2023

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Статті в журналах з теми "Non conforming FEM"

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Rammerstorfer, Franz, and Martin Schanz. "FEM-BEM coupling with non-conforming interfaces." PAMM 11, no. 1 (December 2011): 487–88. http://dx.doi.org/10.1002/pamm.201110235.

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Georgiev, I., J. Kraus, and S. Margenov. "Multilevel preconditioning of rotated bilinear non-conforming FEM problems." Computers & Mathematics with Applications 55, no. 10 (May 2008): 2280–94. http://dx.doi.org/10.1016/j.camwa.2007.11.008.

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Rüberg, Thomas, Martin Schanz, and Gernot Beer. "Non-conforming FEM-BEM coupling for wave propagation phenomena." PAMM 8, no. 1 (December 2008): 10333–34. http://dx.doi.org/10.1002/pamm.200810333.

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4

Wilson, Peter, Tobias Teschemacher, Philipp Bucher, and Roland Wüchner. "Non-conforming FEM-FEM coupling approaches and their application to dynamic structural analysis." Engineering Structures 241 (August 2021): 112342. http://dx.doi.org/10.1016/j.engstruct.2021.112342.

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Margenov, Svetozar, and Nikola Kosturski. "MIC(0) preconditioning of 3D FEM problems on unstructured grids: Conforming and non-conforming elements." Journal of Computational and Applied Mathematics 226, no. 2 (April 2009): 288–97. http://dx.doi.org/10.1016/j.cam.2008.08.033.

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Margenov, S., and P. Minev. "On a preconditioning of non-conforming mixed FEM elliptic problems." Mathematics and Computers in Simulation 76, no. 1-3 (October 2007): 149–54. http://dx.doi.org/10.1016/j.matcom.2007.01.021.

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Kolev, Tzanio V., and Svetozar D. Margenov. "Two-level preconditioning of pure displacement non-conforming FEM systems." Numerical Linear Algebra with Applications 6, no. 7 (October 1999): 533–55. http://dx.doi.org/10.1002/(sici)1099-1506(199910/11)6:7<533::aid-nla175>3.0.co;2-7.

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8

Schedensack, Mira. "A New Generalization of the P1 Non-Conforming FEM to Higher Polynomial Degrees." Computational Methods in Applied Mathematics 17, no. 1 (January 1, 2017): 161–85. http://dx.doi.org/10.1515/cmam-2016-0031.

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AbstractThis paper generalizes the non-conforming FEM of Crouzeix and Raviart and its fundamental projection property by a novel mixed formulation for the Poisson problem based on the Helmholtz decomposition. The new formulation allows for ansatz spaces of arbitrary polynomial degree and its discretization coincides with the mentioned non-conforming FEM for the lowest polynomial degree. The discretization directly approximates the gradient of the solution instead of the solution itself. Besides the a priori and medius analysis, this paper proves optimal convergence rates for an adaptive algorithm for the new discretization. These are also demonstrated in numerical experiments. Furthermore, this paper focuses on extensions of this new scheme to quadrilateral meshes, mixed FEMs, and three space dimensions.
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Selzer, Philipp, and Olaf A. Cirpka. "Postprocessing of standard finite element velocity fields for accurate particle tracking applied to groundwater flow." Computational Geosciences 24, no. 4 (June 24, 2020): 1605–24. http://dx.doi.org/10.1007/s10596-020-09969-y.

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Abstract Particle tracking is a computationally advantageous and fast scheme to determine travel times and trajectories in subsurface hydrology. Accurate particle tracking requires element-wise mass-conservative, conforming velocity fields. This condition is not fulfilled by the standard linear Galerkin finite element method (FEM). We present a projection, which maps a non-conforming, element-wise given velocity field, computed on triangles and tetrahedra, onto a conforming velocity field in lowest-order Raviart-Thomas-Nédélec ($\mathcal {RTN}_{0}$ R T N 0 ) space, which meets the requirements of accurate particle tracking. The projection is based on minimizing the difference in the hydraulic gradients at the element centroids between the standard FEM solution and the hydraulic gradients consistent with the $\mathcal {RTN}_{0}$ R T N 0 velocity field imposing element-wise mass conservation. Using the conforming velocity field in $\mathcal {RTN}_{0}$ R T N 0 space on triangles and tetrahedra, we present semi-analytical particle tracking methods for divergent and non-divergent flow. We compare the results with those obtained by a cell-centered finite volume method defined for the same elements, and a test case considering hydraulic anisotropy to an analytical solution. The velocity fields and associated particle trajectories based on the projection of the standard FEM solution are comparable to those resulting from the finite volume method, but the projected fields are smoother within zones of piecewise uniform hydraulic conductivity. While the $\mathcal {RTN}_{0}$ R T N 0 -projected standard FEM solution is thus more accurate, the computational costs of the cell-centered finite volume approach are considerably smaller.
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Blaheta, R., S. Margenov, and M. Neytcheva. "Uniform estimate of the constant in the strengthened CBS inequality for anisotropic non-conforming FEM systems." Numerical Linear Algebra with Applications 11, no. 4 (April 19, 2004): 309–26. http://dx.doi.org/10.1002/nla.350.

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Дисертації з теми "Non conforming FEM"

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Cenanovic, Mirza, and Mahdieh Khanmohammadi. "Implementation of a non-conforming rotated Q1 approximation on tetrahedron." Thesis, Högskolan i Halmstad, Sektionen för Informationsvetenskap, Data– och Elektroteknik (IDE), 2011. http://urn.kb.se/resolve?urn=urn:nbn:se:hh:diva-15518.

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Our project consists of two parts (A and B). In part A we solve a linear elasticity problem with implementing a rotated  approximation method and simulating the problem in commercial softwares (COMSOL and SolidWorks). To evaluate the results we implement an analytical eigenvalue solver. As a simple case, we use a cube with side length of L = 1m made of Alloy steel with density of 7850 Kg/m^3.  In part B we implement a time dependent linear elasticity problem on a beam made of Alloy steel with density of 7850 Kg/m^3 with size of 1x0.1x0.01m. We use the implicit method to solve our problem. The frequency results in part A show that the rotated Q1 approximation method works more accurate than the commercial software.
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SCIALO', STEFANO. "Development and analysis of a novel optimization approach for the simulation of the flow in large scale discrete fracture networks with non-conforming finite elements / Sviluppo ed analisi di un nuovo approccio per la simulazione del flusso in network discreti di fratture su larga scala basato su un metodo di ottimizzazione ed elementi finiti su griglie non conformi." Doctoral thesis, Politecnico di Torino, 2014. http://hdl.handle.net/11583/2535692.

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The present Thesis reports the description of a new numerical model for the definition of the hydraulic head distribution in Discrete Fracture Networks (DFNs). The solution to the DFN problem is obtained through a PDE constrained minimization approach. The problem on the whole DFN can be split in many small sub-problems on the fractures that can be solved independently from each other, and resorting to the minimization of a cost functional to enforce the compatibility conditions at fracture intersections. In such a way the complexity of the initial problem can be handled more efficiently in parallel computers in an easy and straightforward way, and the meshing process can be performed independently on each fracture and is therefore fast and reliable. Different discretization strategies are investigated to improve the representation of the solution on non-conformng meshes with respect to standard finite elements: the eXtended Finite Elements or th Virtual Finite Elements. Within the proposed approach a mixing of these discretization strategies is possible, improving fexibility in dealing with complex DFN configurations. A large set of numerical results are reported to highlight effectiveness and performances of the method.
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Книги з теми "Non conforming FEM"

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Wagner, R. Harrison. Rationalism and Security. Oxford University Press, 2017. http://dx.doi.org/10.1093/acrefore/9780190846626.013.285.

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In 1969, the game theorist John Harsanyi wrote an article criticizing the two main postulates of the general theory of social behavior prevalent at the time: the functionalist approach to the explanation of social institutions and the conformist approach to the explanation of individual behavior. According to Harsanyi, functionalist and conformist theories overstated the degree of consensus in societies, could not account for change, and described observed behavior without explaining it. Harsanyi proposed an alternative approach provided by theories based on the concept of rational choice (rational behavior, or rational decision-making). His goal was to develop a hypothetico-deductive theory explaining (and possibly predicting) a large number of empirical facts from a few relatively simple theoretical assumptions or axioms. Among students of international politics, Harsanyi’s approach sparked a controversy about rationalism. However, some critics of rationalism do not distinguish clearly between the interest-based theories Harsanyi criticized and the rational choice methods he advocated, and some even confuse both with neoclassical economics. In order to understand the issues raised in the controversy about rationalism, it is helpful to look at interest-based theories of politics and their relation to neoclassical economics. Game theory has provided a useful framework for the intellectual agenda outlined by Harsanyi, especially in the area of international security.
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Whittle, Ian. Head injury. Oxford University Press, 2011. http://dx.doi.org/10.1093/med/9780198569381.003.0589.

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Анотація:
Head injury or traumatic brain injury is a ubiquitous phenomenon in all societies and affects up to 2 per cent of the population per year (Bullock et al. 2006). Although the causes of head injury and its distribution within populations vary, it can have devastating consequences both for the patient and family (Tagliaferri et al. 2006). In some countries severe traumatic brain injury is the commonest cause of death in people under 40 years (Lee et al. 2006), and it is estimated that the sequelae of head injury cost societies billions of dollars per year. Understanding of the pathophysiology, diagnosis, and management have all improved dramatically in the last few decades (Steudel et al. 2005). However within western society, perhaps one of the greatest benefits has been the reduction in severe craniocerebral injuries following motor vehicle accidents. This has arisen because of increased safety in car design, seat-belt legislation, the introduction of air-bags, enforcement of speed limits, and the societal conformity to drink-driving legislation. For instance, because of these changes, in the last 15 years the number of severe head injuries managed in the Clinical Neuroscience unit in Edinburgh has decreased by around 66 per cent. Unfortunately in some developing countries one legacy of increased traffic, particularly of motor cycles, is an epidemic of head injuries amongst young adults (Lee et al. 2006). With the number of severe head injuries declining in many countries the challenge will be to provide better care for patients with minor head injury, about 10 times more common than severe injury (Steudel et al. 2005).Ageing patients who tend to fall over, falls associated with increased alcohol consumption, and domestic or social assaults probably now contribute to the majority of head injuries (Flanagan et al. 2005; Steudel et al. 2005; Tagliaferri et al. 2006). Sporting injuries are fortunately uncommon as a cause of severe craniocerebral injury, although horse riding accidents can sometimes be devastating particularly in teenage girls. In some countries injuries from hand guns and other missiles are common (Aryan et al. 2005), but in European countries many such injuries are self-inflicted. Prompt management of intracranial haematoma, which occurs in 25–45 per cent of severe head injuries, 3–12 per cent of moderate injuries, and 0.2 per cent of minor injuries, and the rehabilitation of patients with head injury are now important areas in clinical neuroscience (Flanagan et al. 2005; Bullock et al. 2006b, c).
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Частини книг з теми "Non conforming FEM"

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Schnack, E., R. Carmine, I. Becker, and N. Karaosmanoglu. "Mixed Non-Conforming Technique for Coupling FEM and BEM." In Computational Mechanics ’88, 124–27. Berlin, Heidelberg: Springer Berlin Heidelberg, 1988. http://dx.doi.org/10.1007/978-3-642-61381-4_30.

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Boyanova, P., M. Do-Quang, and M. Neytcheva. "Block-Preconditioners for Conforming and Non-conforming FEM Discretizations of the Cahn-Hilliard Equation." In Large-Scale Scientific Computing, 549–57. Berlin, Heidelberg: Springer Berlin Heidelberg, 2012. http://dx.doi.org/10.1007/978-3-642-29843-1_62.

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Blaheta, Radim, Svetozar Margenov, and Maya Neytcheva. "Aggregation-Based Multilevel Preconditioning of Non-conforming FEM Elasticity Problems." In Applied Parallel Computing. State of the Art in Scientific Computing, 847–56. Berlin, Heidelberg: Springer Berlin Heidelberg, 2006. http://dx.doi.org/10.1007/11558958_102.

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Kolev, Tzanio, and Svetozar Margenov. "AMLI Preconditioning of Pure Displacement Non-conforming Elasticity FEM Systems." In Lecture Notes in Computer Science, 482–90. Berlin, Heidelberg: Springer Berlin Heidelberg, 2001. http://dx.doi.org/10.1007/3-540-45262-1_56.

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Boyanova, P. T., and S. D. Margenov. "Multilevel Splitting of Weighted Graph-Laplacian Arising in Non-conforming Mixed FEM Elliptic Problems." In Lecture Notes in Computer Science, 216–23. Berlin, Heidelberg: Springer Berlin Heidelberg, 2009. http://dx.doi.org/10.1007/978-3-642-00464-3_22.

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Lazarov, Raytcho D., and Svetozar D. Margenov. "On a Two-Level Parallel MIC(0) Preconditioning of Crouzeix-Raviart Non-conforming FEM Systems." In Numerical Methods and Applications, 192–201. Berlin, Heidelberg: Springer Berlin Heidelberg, 2003. http://dx.doi.org/10.1007/3-540-36487-0_21.

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7

Kahlos, Maijastina. "Reactions." In Religious Dissent in Late Antiquity, 350-450, 121–36. Oxford University Press, 2019. http://dx.doi.org/10.1093/oso/9780190067250.003.0010.

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Анотація:
This chapter analyses the various ways in which people responded to the altered social and religious circumstances in the Christianizing empire. Many accommodated the dominant form of Christianity. Bishops usually spoke about conversion in a favourable manner. Some reservations were shown when a few recent converts became more militant than their fellow Christians. Outward religious conformity and feigned conversions were despised by both Christian and pagan writers. However, not everyone accommodated the changing circumstances. We have appeals from dissidents, even though these have not been preserved in equal quantity as the mainstream Christian literature. Many of the non-conforming religious practices shifted to private spaces, beyond the control of the ecclesiastical and imperial authorities. There seems to have been self-segregation among several Christian sects as well as some pagan Neoplatonist circles. Resistance could also be aggressive, in the form of verbal violence and polemical attacks as well as violent confrontations.
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"Frontmatter." In Westerweel Group: Non-Conformist Resistance Against Nazi Germany, I—IV. De Gruyter Oldenbourg, 2019. http://dx.doi.org/10.1515/9783110582703-fm.

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Güneştepe, Kutay, Merve Güngördü Arıoğlu, and Deniz Tunçalp. "Conforming With Diverse Expectations." In Creating Social Value Through Social Entrepreneurship, 56–72. IGI Global, 2021. http://dx.doi.org/10.4018/978-1-7998-4727-4.ch003.

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Анотація:
Social enterprises need to manage their dual missions. On the one hand, they have to develop a sustainable revenue model and maintain their businesses. On the other hand, they should communicate that they do not prioritize commercial objectives, as their primary focus is social impact. The authors explore how social enterprises manage symbolic meanings while pursuing their dual missions. They have examined symbolic actions with netnography and derived a resource acquisition model. This chapter has three contributions to the literature. Firstly, while symbolic capital is a crucial resource for entrepreneurial success, activities to capture this resource are understudied in the literature. The authors have developed a novel perspective to fill this gap. Secondly, there are various studies examining resource acquisition in the US context. This study enriches our understanding of the focal phenomenon as it is conducted in the Turkish context. Thirdly, this is one of the few studies collecting empirical data with netnography and may foster further studies based on online data sources.
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"Mel Scult (ed.), Communings of the Spirit: The Journals of Mordecai M. Kaplan, vol. 2, 1934–1941. Detroit: Wayne State University Press, 2016. 470 pp." In Textual Transmission in Contemporary Jewish Cultures, edited by Avriel Bar-Levav, 316–18. Oxford University Press, 2020. http://dx.doi.org/10.1093/oso/9780197516485.003.0042.

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I am writing this at 12:00 midnight and am thus violating the Sabbath ordinance against writing. Although I managed to emancipate myself from the habit of conforming to that ordinance a few years ago, yet the old habit has persisted and I have not used the pen on Sabbaths....
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Тези доповідей конференцій з теми "Non conforming FEM"

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KOLEV, TZANIO V., and SVETOZAR D. MARGENOV. "MULTILEVEL HB PRECONDITIONING OF NON-CONFORMING FEM SYSTEMS." In Proceedings of the Fourth International Conference. WORLD SCIENTIFIC, 1999. http://dx.doi.org/10.1142/9789814291071_0060.

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Iwanowski, Bogdan, Rune Gladso̸, and Marc Lefranc. "Wave-In-Deck Load on a Jacket Platform, CFD-Derived Pressures and Non-Linear Structural Response." In ASME 2009 28th International Conference on Ocean, Offshore and Arctic Engineering. ASMEDC, 2009. http://dx.doi.org/10.1115/omae2009-79053.

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The paper presents an industrial application of CFD and non-linear structural response codes in offshore technology. A Wave-In-Deck load due to an extreme wave, acting on a jacket platform, is studied numerically. Particular attention is given to details of local flow and local non-linear dynamical response of the structure. A very detailed FEM model of the platform deck structure, composed of shell elements, is embedded into a non body-conforming CFD grid of computational cells. The applied CFD code is a Navier-Stokes equation solver with an improved Volume of Fluid (iVOF) method employed to displace and re-construct fluid’s free surface and uses a simple, Cartesian grid. The two computational grids, FEM and CFD, are independent. The challenge of a direct mapping of CFD-derived fluid pressures onto structural FEM shell elements is addressed. Then the non-linear dynamical response of the structure is found in time domain. The employed CFD code is ComFLOW while the FEM part is handled by the well-known commercial program LS-DYNA. The composed approach utilizes both robustness of VOF-based methods in tracking of the fluid’s free surface and reliability of FEM structural codes such as LS-DYNA.
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Kumar, Goldy, and Vadim Shapiro. "Analysis of Multi-Material Bonded Assemblies on a Non-Conforming Mesh." In ASME 2012 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2012. http://dx.doi.org/10.1115/detc2012-70748.

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Bonded multi-material assemblies arise frequently in design, manufacturing, architecture, and materials design. It is a common wisdom that finite element analysis of such assemblies usually requires all components to be represented by compatible finite element meshes; application of meshfree methods in such situations is often considered problematic due to the need to impose additional interface conditions. Neither approach scales to deal with realistically complex models arising in many applications. We propose a simple extension of meshfree analysis on a non-conforming mesh for linear structural analysis of such multimaterial assemblies. The method is simple, can be implemented within most FEA packages and does not require either compatible meshing or complex interface boundary conditions. Our numerical experiments demonstrate that computed results are in good agreement with known analytical and computational results for well studied multi-material bonded assemblies (lap and butt joints). We also demonstrate application of the proposed method to realistically complex assembly of a mounted sculpture that cannot be easily analysed by other methods.
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Szeri, Andras Z. "Non-Linear Lubricant Behavior in Concentrated Contacts." In ASME 2001 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2001. http://dx.doi.org/10.1115/imece2001/fed-24919.

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Abstract Elastohydrodynamic lubrication (EHL) is the name given to hydrodynamic lubrication when it is applied to solid surfaces of low geometric conformity (counterformal contacts) that are capable of, and are subject to, elastic deformation. In bearings relying on EHL principles, the residence time of the fluid is less than 1 ms, the pressures are up to 4 GP, the film is thin, down to 0.1 μm, and shear rates are up to 108 s−1 — under such conditions lubricants exhibit material behavior that is distinctly different from their behavior in bulk at normal temperature and pressure. In fact, without taking into account the viscosity-pressure characteristics of the liquid lubricant and the elastic deformation of the bounding solids, hydrodynamic theory is unable to explain the existence of continuous lubricant films in highly loaded gears and rolling contact bearings.
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Lowry, Robert K. "A Hermetic Package Internal Water Vapor Paradox: Nonconforming Product That Does Not Fail." In ISTFA 1998. ASM International, 1998. http://dx.doi.org/10.31399/asm.cp.istfa1998p0175.

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Abstract Corrosion in hermetically sealed electronic devices is a well-known failure mechanism that can occur when moisture in a sealed cavity condenses and destroys metallization by chemical or galvanic action. Early military standards imposed a 5000 part per million by volume (ppmv) limit on internal water vapor (IWV) in hermetic parts measured by mass spectrometry. In a recent product lot IWV non-conformance, 15 of 37 product lots and 56 of 369 units were nonconforming, with IWV ranging from 5000 to 32,000 ppmv. Root cause was outgassing from a non-robust die adhesive. Functionality of non-conforming units was investigated. Of 149 units selected from non-conforming product lots and lifetested under both static and 17.7V bias conditions at 2°C (assuring condensate in non-conforming units) for 2000 hours, none failed functionally. Subsequent analysis of 27 of these units found 17 exceeding 5000 ppmv IWV with one unit as high as 90,000 ppmv IWV. Despite the certainty of condensate internally during life tests, all units maintained functionality. Units were further investigated by internal visual inspection, glass integrity testing of die passivation, and SIMS analysis of internal surfaces for ionic impurities. The units passed all inspections and were free of any ionic impurities detectable to the few ppm level by SIMS. IWV is clearly a necessary precursor to, but not a sufficient condition for, corrosion failure. This paper discusses these results and proposes an alternative IWV criterion for product assurance.
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Yao, Guangfa. "A Simple Immersed Boundary Method for Modeling Forced Convection Heat Transfer." In ASME 2019 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2019. http://dx.doi.org/10.1115/imece2019-10236.

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Abstract As non-body conforming numerical methods using simple Cartesian mesh, immersed boundary methods have become increasingly popular in modeling fluid-solid interaction. They usually do this by adding a body force term in the momentum equation. The magnitude and direction of this body force ensure that the boundary condition on the solid-fluid interface is satisfied without invoking complicated body-conforming numerical methods to impose the boundary condition. A similar path has been followed to model forced convection heat transfer by adding a source term in the energy equation. The added source term will ensure that thermal boundary conditions on the solid-fluid interface are imposed without invoking a boundary conforming mesh. These approaches were developed to handle the Dirichlet boundary condition (constant wall temperature). Few of them deal with the Neumann boundary condition (constant wall heat flux). This paper presents a simple new immersed boundary method. It can deal with the Dirichlet boundary condition, Neumann boundary condition and conjugated heat transfer by adding an energy source or sink term in the energy conservation equation. The presented approach is validated against the analytical solutions and a very good match is achieved.
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Tecker, Kelly, and Itzhak Green. "Finite Element Analysis of Electromagnetic Effects on Hemispherical Contacts." In ASME 2008 9th Biennial Conference on Engineering Systems Design and Analysis. ASMEDC, 2008. http://dx.doi.org/10.1115/esda2008-59040.

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This work presents a three dimensional finite (3D) element analysis (FEA) of electrical contact between two non-conforming hemispheres at various vertical interferences. Items of particular interest include contact forces, current densities, and magnetic forces. The results are normalized to be applicable to micro and macro-scaled contact models. To test the validity of the analysis, the results are compared to another work focusing on contact between a hemisphere and rigid flat.
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Nejad, Amir Rasekhi, and Paul White. "Finite Element Modelling of Impact Loads on Offshore Containers Conforming to DNV 2.7-1 Regulations." In ASME 2008 27th International Conference on Offshore Mechanics and Arctic Engineering. ASMEDC, 2008. http://dx.doi.org/10.1115/omae2008-57999.

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Impact load analysis is an essential part of structural calculations for offshore containers resulting from shocks during lifting, shipping, loading & offloading. The impact loads are classified as non harmonic dynamic loads acting in short time. Calculating the dynamic nature of impact loads requires complicated calculation; therefore, a practical quasi-static approach can be very useful in the industry. DNV based on many years of experience in marine and offshore industry, has introduced certain procedures to calculate, check and test the offshore container’s structures against the impact loads under the DNV certification standard no. 2.7-1, offshore container, issued on Apr. 2006 [1]. In this paper we will determine the maximum vertical impact load as a function of the mass for free falling motion and compare with the DNV design load factor. We will detail a method to model the impact loads in FEA programs as per DNV recommendation and we will compare the results with the conservative method of individual beam calculations. The results will determine the accuracy and speed of this improved FEA calculation method.
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Kumar, Ashok V., and Ravi K. Burla. "Finite Element Analysis Using Uniform B-Spline Basis." In ASME 2008 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2008. http://dx.doi.org/10.1115/detc2008-49696.

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Анотація:
Implicit boundary finite element method uses structured grids for analysis instead of a conforming finite element mesh. The geometry of the structure is represented independently using curve / surface equations. These equations are used to apply boundary conditions even though there may not be nodes available on the boundary. In this paper, this method is applied for analysis using uniform B-spline basis defined over structured grids. Solutions can be constructed that are C1 or C2 continuous throughout the analysis domain using B-spline basis functions. Therefore, the computed stress and strain are continuous in the analysis domain thus eliminating the need for smoothing stress/strain results. Compared to conforming mesh, it is easier to generate structured grids that overlap the geometry and the elements in the grid are regular shaped and undistorted. Numerical examples are presented to demonstrate the performance of these B-spline elements. The results are compared with analytical solutions as well as traditional finite element solutions. Convergence studies for several examples show that B-spline elements provide accurate solutions with fewer elements and nodes as compared to traditional finite element method (FEM).
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10

Upchurch, Carl, Xiaobo Peng, Lai Jiang, and Jaejong Park. "Optimization of Design Parameters for Large Diameter N07718 Hex Bolts in Hot Forging Using Finite Element Analysis." In ASME 2022 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2022. http://dx.doi.org/10.1115/imece2022-96919.

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Анотація:
Abstract The demand for bolting components is expected to grow as fasteners remain a standard method of assembling parts. UNS N07718 is a Nickel-based chromium superalloy, which is the most popular grade of choice for its high yield strength. Forged UNS N07718 bolts of larger diameter have been growing in demand. In this paper, a non-conforming forging process for a 1.375″ N07718 hex flange bolt was analyzed. With the original design parameters, defects were detected at the base of the bolt hex during the post-processing inspection. To eliminate the defects in the bolts, finite element analysis (FEA) tool DEFORM Forming Express 3D was used to evaluate and optimize the design parameters of the bolt in the forging process. The quantitative and qualitative outputs of the FEA model were provided in the paper. Physical testing was performed using ASTM industry standards to validate the design configurations. The initial solution in this process has resulted in part failure. Re-evaluation of the process with gained knowledge results in a successful forging. Both failure and final solution were presented such that the lessons learned in the failure process may help understand both the advantages and disadvantages of applying FEA models.
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Martín, A., L. Cirrottola, A. Froehly, R. Rossi, and C. Soriano. D2.2 First release of the octree mesh-generation capabilities and of the parallel mesh adaptation kernel. Scipedia, 2021. http://dx.doi.org/10.23967/exaqute.2021.2.010.

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Анотація:
This document presents a description of the octree mesh-generation capabilities and of the parallel mesh adaptation kernel. As it is discussed in Section 1.3.2 of part B of the project proposal there are two parallel research lines aimed at developing scalable adaptive mesh refinement (AMR) algorithms and implementations. The first one is based on using octree-based mesh generation and adaptation for the whole simulation in combination with unfitted finite element methods (FEMs) and the use of algebraic constraints to deal with non-conformity of spaces. On the other hand the second strategy is based on the use of an initial octree mesh that, after make it conforming through the addition of templatebased tetrahedral refinements, is adapted anisotropically during the calculation. Regarding the first strategy the following items are included:
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