Academic literature on the topic 'Membrane and shear locking'

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Journal articles on the topic "Membrane and shear locking"

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Tang, Yi Qun, Zhi Hua Zhou, and Siu Lai Chan. "Nonlinear Beam-Column Element Under Consistent Deformation." International Journal of Structural Stability and Dynamics 15, no. 05 (May 27, 2015): 1450068. http://dx.doi.org/10.1142/s0219455414500680.

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A new nonlinear beam-column element capable of considering the shear deformation is proposed under the concept of consistent deformation. For the traditional displacement interpolation function, the beam-column element produces membrane locking under large deformation and shear locking when the element becomes slender. To eliminate the membrane and shear locking, force equilibrium equations are employed to derive the displacement function. Numerical examples herein show that membrane locking in the traditional nonlinear beam-column element could cause a considerable error. Comparison of the present improved formulae based on the Timoshenko beam theory with that based on the Euler–Bernoulli beam theory indicates that the present approach requires several additional parameters to consider shear deformation and it is suitable for computer analysis readily for incorporation into the frames analysis software using the co-rotational approach for large translations and rotations. The examples confirm that the proposed element has higher accuracy and numerical efficiency.
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Swamy Naidu, N. V., and B. Sateesh. "Improved Bilinear Degenerated Shell Element." International Journal of Computational Methods 12, no. 02 (March 2015): 1550004. http://dx.doi.org/10.1142/s0219876215500048.

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The development of a new four node 24 degree of freedom bilinear degenerated shell element is presented for the analysis of shell structures. The present finite element formulation considers the assumed covariant transverse shear strains to avoid the shear locking problem and the assumed covariant membrane strains, which are separated from covariant in-plane strains, to overcome the membrane locking problem. The formulation also includes the deviation of the normal torsional rotation of the mid surface in the governing equation. This element is free from serious shear and membrane locking problems and undesirable spurious kinematic deformation modes. The element is tested for rigid body modes and distorted edges to meet the patch test requirements. The versatility and accuracy of this new degenerated shell element is demonstrated by solving several numerical examples for thick and thin plates.
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Yunhua, Luo. "Explanation and elimination of shear locking and membrane locking with field consistence approach." Computer Methods in Applied Mechanics and Engineering 162, no. 1-4 (August 1998): 249–69. http://dx.doi.org/10.1016/s0045-7825(97)00346-0.

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Bucalem, Miguel Luiz, and Klaus-Ju¨rgen Bathe. "Locking Behavior of Isoparametric Curved Beam Finite Elements." Applied Mechanics Reviews 48, no. 11S (November 1, 1995): S25—S29. http://dx.doi.org/10.1115/1.3005077.

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We present a study of the membrane and shear locking behavior in an isoparametric curved beam element. The objective is to gain insight into the locking phenomenon, specially membrane locking, of continuum based degenerated shell elements. This is possible since the isobeam element is the one-dimensional analogue of the continuum based shell element. In this context, reduced integration and mixed interpolation schemes are briefly examined. Such a study can be a valuable aid when developing new shell elements.
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Tessler, Alexander, and Luciano Spiridigliozzi. "Resolving membrane and shear locking phenomena in curved shear-deformable axisymmetric shell elements." International Journal for Numerical Methods in Engineering 26, no. 5 (May 1988): 1071–86. http://dx.doi.org/10.1002/nme.1620260506.

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Polat, Cengiz. "A Parametric Study for Four Node Bilinear EAS Shell Elements." Journal of Mechanics 26, no. 4 (December 2010): 431–38. http://dx.doi.org/10.1017/s1727719100004639.

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ABSTRACTA locking free formulation of 4-node bilinear shell element and its application to shell structures is demonstrated. The Enhanced Assumed Strain (EAS) method based on three-field variational principle of Hu-Washizu is used in the formulation. Transverse shear locking and membrane locking are circumvented by means of enhancing the displacement-dependent strain field with extra assumed strain field. Several benchmark shell problems are analyzed.
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Miazio, Łukasz, and Grzegorz Zboiński. "A Posteriori Detection of Numerical Locking in hpq-Adaptive Finite Element Analysis." Applied Sciences 10, no. 22 (November 20, 2020): 8247. http://dx.doi.org/10.3390/app10228247.

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The proposed detection algorithms are assigned for the hpq-adaptive finite element analysis of the solid mechanics problems affected by the locking phenomena. The algorithms are combined with the M- and hpq-adaptive finite element method, where M is the element model, h denotes the element size parameter, and p and q stand for the longitudinal and transverse approximation orders within an element. The applied adaptive scheme is extended with the additional step where the locking phenomena are a posteriori detected, assessed and resolved. The detection can be applied to shear, membrane, or shear–membrane locking phenomena. The removal of the undesired influence of the numerical locking on the problem solution is based on p-enrichment of the mesh. The detection algorithm is also enriched with the locking assessment algorithm which is capable of determination of the optimized value of p which is sufficient for the phenomena removal. The detection and assessment algorithms are based on a simple sensitivity analysis performed locally for the finite elements of the thin-walled domain. The sensitivity analysis lies in comparison of the element solutions corresponding to two values of the order p, namely current and potentially eliminating the locking. The local solutions are obtained from the element residual method. The elaborated algorithms are original, relatively simple, extremely reliable, and highly effective.
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Belytschko, Ted, Henryk Stolarski, Wing Kam Liu, Nicholas Carpenter, and Jame S. J. Ong. "Stress projection for membrane and shear locking in shell finite elements." Computer Methods in Applied Mechanics and Engineering 51, no. 1-3 (September 1985): 221–58. http://dx.doi.org/10.1016/0045-7825(85)90035-0.

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Jung, Woo-Young, and Sung-Cheon Han. "An 8-Node Shell Element for Nonlinear Analysis of Shells Using the Refined Combination of Membrane and Shear Interpolation Functions." Mathematical Problems in Engineering 2013 (2013): 1–16. http://dx.doi.org/10.1155/2013/276304.

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An improved 8-node shell finite element applicable for the geometrically linear and nonlinear analyses of plates and shells is presented. Based on previous first-order shear deformation theory, the finite element model is further improved by the combined use of assumed natural strains and different sets of collocation points for the interpolation of the different strain components. The influence of the shell element with various conditions such as locations, number of enhanced membranes, and shear interpolation is also identified. By using assumed natural strain method with proper interpolation functions, the present shell element generates neither membrane nor shear locking behavior even when full integration is used in the formulation. Furthermore, to characterize the efficiency of these modifications of the 8-node shell finite elements, numerical studies are carried out for the geometrically linear and non-linear analysis of plates and shells. In comparison to some other shell elements, numerical examples for the methodology indicate that the modified element described locking-free behavior and better performance. More specifically, the numerical examples of annular plate presented herein show good validity, efficiency, and accuracy to the developed nonlinear shell element.
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Kwon, Y. D., N. S. Goo, and B. S. Lim. "Resolution of Defects in Degenerated Shell Elements Through Modification of Gauss Integration." International Journal of Modern Physics B 17, no. 08n09 (April 10, 2003): 1877–83. http://dx.doi.org/10.1142/s0217979203019812.

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In this paper, the modified Gauss integration method is developed to eliminate the shear and membrane locking phenomena of the degenerated shell element. The behavior of the element based on the Mindlin/Reissner theory in plates and shells sometimes causes a problem. In displacement-based shell elements, the full integration of stiffness matrices leads to a 'locking' or over-stiff behavior. The selective or reduced integration procedures may often overcome these difficulties, while overstiff solutions may still occur in the analysis with a highly constrained boundary. Except for the six zero-energy modes associated with shell rigid body movements, during the reduced integration of the stiffness matrices, many extra zero spurious energy modes are introduced due to reduced integration. This is a serious defect of degenerated shell element. In previous studies, several methods such as the addition of nonconforming displacement modes, an assumed strain method, and hybrid and mixed elements have been introduced in an attempt to overcome these difficulties. In this study a newly modified Gauss integration method combining both a selective and a weight-modified integration is suggested. Numerical experiments show that the new selective integration and weight-modified integration rule is very effective in eliminating the shear and membrane locking in static and modal analyses, and removes spurious zero-energy modes as well. Also, the effectiveness of proposed shell element is tested by applying it to some example problems. We solved post-buckling problem by the Riks arc-length method and dynamic problem by the Newmark's time integration method, as well as static problems.
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Dissertations / Theses on the topic "Membrane and shear locking"

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Cinefra, Maria. "Refined and advanced shell models for the analysis of advanced structures." Thesis, Paris 10, 2012. http://www.theses.fr/2012PA100051/document.

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La thèse est décomposée en trois parties. Dans la première partie, les modèles de la CUF sont présentés. La CUF permet d’obtenir, dans un formalisme générale, de nombreux modèles qui diffèrent 1) selon l’ordre d’expansion dans l'épaisseur choisie pour les variables primaires; 2) selon le type de modèle: modèles couche équivalente (ESL) ou couche discrète (LW); 3) selon le principe variationnel : “Principle of Virtual Displacements” (raffinée) ou “Reissner’s Mixed Variational Theorem” (avancée). Des géométries cylindrique et à double courbure sont traités. La deuxième partie de la thèse est consacrée à l'obtention des équations fondamentales en utilisant différentes méthodes: la méthode analytique de Navier et deux méthodes numériques approchées; la “Finite Element Method” (FEM) et la “Radial Basis Functions” (RBF). La méthode RBF est une méthode sans maillage “meshless” et peut être considérée comme une méthode alternative à la FEM. La FEM est la plus utilisée dans la littérature et le sujet principal de cette thèse.Dans la dernière partie, différents problèmes sont proposés. Navier est utilisé pour l’analyse thermomécanique de coques FGM, l’analyse de coques piézo-électrique et l’analyse dynamique de nanotubes de carbone. Un élément fini coque, présenté dans cette thèse, est utilisé pour l’analyse de coques composites et FGM. Les résultats obtenus démontrent la supériorité de cet élément par rapport aux éléments finis basés sur les théories classiques pour l’analyse des matériaux avancés. Enfin, la méthode RBF est utilisée pour l’analyse de coques composites, permettant d'illustrer l'avantage des méthodes sans maillage
The dissertation is organized in three main parts. In the first part, the shell models contained in the CUF are presented. The CUF permits to obtain, in a general and unified manner, several models that can differ by 1) the chosen order of expansion in the thickness direction, 2) the equivalent single layer or layer wise approach and 3) the variational statement used: “Principle of Virtual Displacements” (refined models) or “Reissner’s Mixed Variational Theorem” (advanced models). Both the cylindrical and the double-curvature geometries are considered. The second part is devoted to the derivation of the governing equations by means of different methods: an analytical method, that is the Navier method, and two approximated numerical methods, that are the Finite Element Method (FEM) and the Radial Basis Functions (RBF) method. The RBF method is based on a meshless approach and it can be considered a good alternative to the FEM. The finite element method is the most common method used in literature and it is the main topic of this thesis. In the last part, different problems are analyzed. The thermo-mechanical analysis of FGM shells, the electromechanical analysis of piezoelectric shells and the dynamic analysis of carbon nanotubes are performed by means of the Navier method. Then, the CUF shell finite element, presented in this thesis, is tested and used for the analysis of composite and FGM shells. The superiority of this element in respect to finite elements based on classical theories is shown. Finally, the RBF method is combined with the CUF for the analysis of composite and FGM shells in order to overcome the numerical problems relative to the mesh that usually affect the finite elements
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Peterson, Emily Cassidy. "Shear-induced microstructure in hollow fiber membrane dopes." Diss., Georgia Institute of Technology, 2013. http://hdl.handle.net/1853/50245.

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Hollow fiber membranes offer the opportunity to dramatically reduce the energy required to perform gas separations in the chemical industry. The membranes are fabricated from highly non-Newtonian precursor materials, including concentrated polymer solutions that sometimes also contain dispersed particles. These materials are susceptible to shear-induced microstructural changes during processing, which can affect the characteristics of the resulting membrane. This thesis explores several shear-related effects using materials and flow conditions that are relevant for fiber spinning. The findings are discussed as they relate to membrane processing, and also from the standpoint of enhancing our fundamental understanding of the underlying phenomena. First, the effect of shear on polymeric dope solutions was investigated. Shear-induced demixing—a phenomenon not previously studied in membrane materials—was found to occur in membrane dopes. Phase separation experiments also showed that shear-induced demixing promotes macrovoid formation. The demixing process was found to depend not only on the instantaneous shear conditions, but also on the shear history of the solution. This suggests that low-shear flow processes that occur in the upstream tubing and channels used for fiber spinning can affect macrovoid formation. The effect of viscoelastic media on dispersed particles was also explored. Shear-small-angle light scattering results showed that particles suspended in membrane dope solutions formed aggregated, vorticity-oriented structures when shear rates in the shear-thinning regime of the polymer solution were applied. Shear rates well below the shear-thinning regime did not produce any structure. In fact, the application of a Newtonian shear rate to a sample already containing the vorticity structure caused the sample to return to isotropy. Measurements using a highly elastic, constant-viscosity Boger fluid showed that strong normal forces alone are not sufficient to form the vorticity structures, but that shear thinning is also required. Lastly, a study was conducted examining cross-stream migration of particles dispersed in viscoelastic media. Fluids exhibiting varying degrees of shear thinning and normal forces were found to have different effects on the particle distribution along the shear gradient axis in Poiseuille flow. Shear thinning was found to promote migration toward the channel center, while normal stresses tended to cause migration toward the channel walls. In addition to hollow fiber spinning, many other industrially relevant applications involve polymer solutions and suspensions of particles in viscoelastic media. Often, the properties and performance of the material depend strongly on the internal microstructure. The results from the research described in this thesis can be used to guide the design of materials and processing conditions, so that the desired microstructural characteristics can be achieved.
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Kuang, Jun Shang. "Punching shear failure of concrete slabs with compressive membrane action." Thesis, University of Cambridge, 1991. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.240241.

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Salim, Wijaya. "Punching shear failure in reinforced concrete slabs with membrane restraint." Thesis, University of Bristol, 2006. http://hdl.handle.net/1983/e2a8f32a-0fc2-40ee-8183-a9100122e429.

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Kovalsky, Peter Chemical Sciences &amp Engineering Faculty of Engineering UNSW. "Characterisation of fouling behaviour on membrane filtration of aggregated suspensions." Publisher:University of New South Wales. Chemical Sciences & Engineering, 2008. http://handle.unsw.edu.au/1959.4/41531.

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It is widely accepted that flocculation improves filtration performance by increasing cake permeability. This principle is important in submerged membrane filtration for drinking water applications where the feed material can potentially contain fouling components which prohibit the extended operation of the filter. Less well understood is the impact of floc properties on the hydraulic properties of the fouling layer formed on the membrane or the impact of hydrodynamic conditions during treatment on the floc-fouling layer relationship. In order to advance knowledge of this area, a set of tools were developed to characterise the cake formed during constant pressure filtration in terms of the compressive yield stress and permeability as a function of solid volume fraction. Using an iterative procedure, the optimal parameters for these models are calculated as are pressure and solid fraction distribution profiles. Input parameters to the numerical analysis are flux and final cake height data obtained from batch filtration experiments which are driven to steady state. The calculated material properties are compared against piston and centrifuge data with good agreement. Application of the material properties to constant flux filtration involved development of a numerical model for simultaneous consolidation and cake formation. Flocculated yeast was used as the test system with the predicted transmembrane pressure rise as a function of time under constant flux conditions compared with experimental data. Good agreement is observed between model and experimental trends. The close correspondence between experimental and predicted results also suggests that it may be possible to predict trans-membrane pressure rise during constant flux filtration on the basis of material properties determined through simple constant pressure steady state experiments. A good account of the data was also achieved through extension of the general equation to include an empirical model for the consolidation time constant. These new tools were applied to characterise the cakes formed under well controlled shear conditions. To avoid complications with modeling the sheared filtration system, the filtration was performed below the critical shear rate for particle rejection. This was verified by in-situ particle counts and size measurement. The material properties were determined for flocculated yeast filtered in a coni-cylindrical Couette at several shear rates below the critical shear. Comparison of the compressive yield stress showed that cakes subjected to shear required less compressive stress to collapse. It is shown that the general equation for constant flux could be modified to encompass this effect through inclusion of an empirical shear parameter. The transmembrane pressure rise is able to be described well by this model. DEM particle simulation was performed to investigate the effect of floc size and structure on cake permeability. Flocs of known size and structure were placed in a virtual suspension and the process of consolidation simulated by application of a compressive force. The permeability of the cake was calculated by computational fluid dynamics at various stages of the consolidation showing that the larger compact floc showed the highest permeability despite the highly compact structures formed. Comparison of pore size distribution also confirmed that several larger pores remained after consolidation of the larger compact flocs. Further work needs to be undertaken to pin point the microstructural mechanism governing this behaviour and whether the presence of fluid passing through these pores under normal filtration flows affects the retention of permeability of cakes under compression. Furthermore, the shear environment required to minimise the detrimental effects caused by shear enhanced cake collapse and also to form flocs of compact structure and large size needs to investigated.
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Quaglino, Alessio [Verfasser], Max [Akademischer Betreuer] Wardetzky, and Gert [Akademischer Betreuer] Lube. "Membrane locking in discrete shell theories / Alessio Quaglino. Gutachter: Max Wardetzky ; Gert Lube. Betreuer: Max Wardetzky." Göttingen : Niedersächsische Staats- und Universitätsbibliothek Göttingen, 2012. http://d-nb.info/1042969213/34.

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Oh, Kyung Hee. "Effect of shear, elongation and phase separation in hollow fiber membrane spinning." Diss., Georgia Institute of Technology, 2014. http://hdl.handle.net/1853/53992.

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The spinning process of hollow fiber membranes was investigated with regards to two fundamental phenomena: flow (shear and elongation) and phase separation. Quantitative analysis of phase separation kinetics of binary (polymer/solvent) and ternary (polymer/solvent/volatile co-solvent) polymer solution was carried out with a newly developed microfluidic device. The device enables visualization of in situ phase separation and structure formation in controlled vapor and liquid environments. Results from these studies indicated that there was a weak correlation between phase separation kinetics and macroscopic defect (macrovoid) formation. In addition, the effect of shear and elongation on membrane morphology was tested by performing fiber extrusion through microfluidic channels. It was found that the membrane morphology is dominated by different factors depending on the rate of deformation. At high shear rates typical of spinning processes, shear was found to induce macrovoid formation through normal stresses, while elongation suppressed macroscopic defect formation. Furthermore, draw resonance, one of the key instabilities that can occur during fiber spinning, was investigated. It was found that draw resonance occurs at aggressive elongation condition, and could be suppressed by enhanced phase separation kinetics. These results can be used as guidelines for predicting hollow fiber membrane spinnability.
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Fulton, Blair G. "Making membranes more efficient: mapping surface shear in a pilot-scale submerged hollow-fibre membrane cassette using electrochemical shear probes." Thesis, University of British Columbia, 2009. http://hdl.handle.net/2429/9550.

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Optimization of gas sparging (ie. gas flow rate used for gas scouring) and module design has great potential to decrease fouling and improve energy efficiency in submerged membrane systems. Shear stress has been widely recognized as a controlling factor in the fouling of most types of membrane systems, but despite its relevance few researchers have attempted to quantify this variable in submerged hollow fiber systems, forcing membrane designers to infer processes at the membrane surface indirectly from flux and transmembrane pressure data. The present study utilized electrochemical probes to map the shear stresses on full-scale hollow fiber membrane modules in a pilot-scale air sparged submerged membrane system (GE-Zenon Zeeweed-500c). The effects of sparging rate, membrane module spacing, fiber tension, and sparging pattern were investigated, and all were determined to significantly affect shear stress profiles. The results of this study, presented largely as ‘shear maps’, provide insight into the roles of gas sparging and module configuration on shear stress profiles in submerged membrane systems.
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Zhang, Xiaoyan. "THE INFLUENCE OF MEMBRANE CHOLESTEROL-RELATED SHEAR STRESS MECHANOSENSITIVITY ON NEUTROPHIL FLOW BEHAVIOR." UKnowledge, 2012. http://uknowledge.uky.edu/cbme_etds/6.

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Hypercholesterolemia is a dominant risk factor for a variety of cardiovascular diseases and involves a chronic inflammatory component in which neutrophil activity plays a critical role. Recently, fluid shear stress mechanotransduction has been established as a control mechanism that regulates the activity of neutrophils by reducing the formation of pseudopods and the surface expression of CD18 integrins, thereby rendering these cells rounded, deformable, and non-adhesive. This is critical for maintaining a healthy circulation, because chronically activated neutrophils not only release excess cytotoxic and degradative agents but also exhibit a reduced efficiency to pass through the small vessels of the microcirculation leading to increased microvascular resistance. We hypothesized that aberrant neutrophil mechanosensitivity to fluid shear stress due to the altered blood environment (i.e., excess plasma cholesterol) is a contributing factor for elevated hemodynamic resistance in the microcirculation associated with hypercholesterolemia. For this purpose, the present work firstly showed that the sensitivity of neutrophils to fluid shear stress depends on the cholesterol-dependent fluidity of the cell membrane, and that, in the face of hypercholesterolemia, the neutrophil mechanosensitivity highly correlated with the plasma levels of free cholesterol. The second part of this project demonstrated that, when subjected to shear stress fields, leukocyte suspensions exhibited transient (within 10 min of flow onset) time-dependent reductions in their apparent viscosity. Moreover, shear-induced changes in viscosity of cell suspensions were influenced by disturbances of membrane cholesterol and fluidity in a fashion similar to that for shear-induced pseudopod retraction. Finally, the third part of this work provided evidence that neutrophils played a role in hypercholesterolemia-related impairment of flow recovery response to transient ischemia. In conclusion, results of the current work provided the first evidence that cholesterol is an important component of the neutrophil mechanotransducing capacity and impaired neutrophil shear mechanotransduction may disturb the blood flow rheology, leading to elevations in the apparent viscosity as well as in the resistance. This cholesterol-linked perturbation may be a contributing factor for the pathologic microcirculation associated with hypercholesterolemia.
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Albuquerque, Arthur Álax de Araújo. "Implementação de elementos finitos de barra e placa para a análise de esforços em tabuleiros de pontes por meio de superfícies de influência." Universidade de São Paulo, 2014. http://www.teses.usp.br/teses/disponiveis/18/18134/tde-28072014-093844/.

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Este trabalho consiste em analisar os esforços em tabuleiros de pontes por meio de superfícies de influência. Para isto, o método dos elementos finitos (MEF) é utilizado e os resultados são comparados com os das tabelas de Rüsch. Os elementos finitos de barra, representando longarinas e transversinas, e placa, as lajes do tabuleiro, são implementados no código SIPlacas. Estes elementos finitos são formulados pelas teorias de viga Timoshenko e placa Reissner-Mindlin, respectivamente. Estes apresentam problema de travamento de força cortante (Shear Locking), que é contornado por duas propostas: o artifício matemático da integração reduzida e elementos finitos com campo assumido de deformação de força cortante (CADFC). Verifica-se que os elementos com aproximações quadráticas para os deslocamentos e com CADFC são os que melhor se adequam à proposta de análise da presente pesquisa. Tais elementos apresentam convergência de resultados considerando estruturas com baixa discretização. Os resultados analisados foram o deslocamento, momento fletor e força cortante. Posteriormente realiza-se um estudo de caso de uma ponte em viga. O tabuleiro da ponte é calculado utilizando-se as tabelas de Rüsch e o código SIPlacas. O cálculo dos esforços pelo SIPlacas é realizado de três maneiras. Na primeira consideram-se os painéis de lajes do tabuleiro isolados; na segunda o tabuleiro está sobre apoios não deslocáveis; e na terceira, o tabuleiro apresenta-se com vigas acopladas. Foi concluído que a terceira configuração, cuja representação melhor se aproxima da estrutura real de análise, apresentou os menores esforços internos.
This work aims at the analysis of bridge deck stresses through influence surfaces. The finite element method (FEM) is used and the results are compared with those of Rüsch\'s tables. The bar and plate finite elements represent stringers, cross beams and slabs bridge deck. These finite elements are implemented in the SIPlacas code and the theories of Timoshenko beam and Reissner-Mindlin plate are used to theirs formulation. The Shear Locking problem is solved by two proposals: reduced integration and definition of element with transversal shear strain assumed (TSSA). The elements with quadratic approximations for the displacements and TSSA are the best suited to the proposed analysis of this research. Such elements have convergence of results considering structures with low discretization. Displacement, bending moment and shear force were the results analyzed. Subsequently a case study on a beam bridge was carried out. The bridge deck is calculated using Rüsch\'s tables and SIPlacas code. The calculation of the internal forces by SIPlacas is performed in three ways. The first one considers the slabs isolated panels; the second, the slab deck is on a rigid support; and third, the slab deck is on deformable supports. It was concluded that the third configuration showed the lowest internal forces. This configuration is the optimum representation to the structure analysis.
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Books on the topic "Membrane and shear locking"

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In-plane reinforcement and tensile membrane stress effects on punching shear resistance: An experimental and analytical investigation. Ottawa: National Library of Canada, 1990.

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Book chapters on the topic "Membrane and shear locking"

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Salmon, David C., and John F. Abel. "Locking of Pure Membrane Elements." In Computational Mechanics ’88, 760–63. Berlin, Heidelberg: Springer Berlin Heidelberg, 1988. http://dx.doi.org/10.1007/978-3-642-61381-4_193.

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Vermeulen, Allan H., and Glenn R. Heppler. "Shear Locking in B-Spline Based Finite Element Formulations." In Computational Mechanics ’95, 1626–31. Berlin, Heidelberg: Springer Berlin Heidelberg, 1995. http://dx.doi.org/10.1007/978-3-642-79654-8_264.

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Wang, Simon, and Yingshun Zhang. "One-Point Integration that Handles Shear-Locking in Cubic Splines." In Computational Methods in Engineering & Science, 278. Berlin, Heidelberg: Springer Berlin Heidelberg, 2006. http://dx.doi.org/10.1007/978-3-540-48260-4_124.

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Kaufmann, Walter. "Behaviour of Membrane Elements." In Strength and Deformations of Structural Concrete Subjected to In-Plane Shear and Normal Forces, 65–94. Basel: Birkhäuser Basel, 1998. http://dx.doi.org/10.1007/978-3-0348-7612-4_5.

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Krüger, Timm. "Membrane model and energetics." In Computer Simulation Study of Collective Phenomena in Dense Suspensions of Red Blood Cells under Shear, 43–48. Wiesbaden: Vieweg+Teubner Verlag, 2012. http://dx.doi.org/10.1007/978-3-8348-2376-2_7.

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Fujii, Shuji. "Nonequilibrium Structure Formation of Complex Bilayer Membrane Lamellar Phase Under Shear." In Nano/Micro Science and Technology in Biorheology, 77–97. Tokyo: Springer Japan, 2015. http://dx.doi.org/10.1007/978-4-431-54886-7_4.

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Zhang, Wenxiang, Luhui Ding, and Nabil Grimi. "Shear-Enhanced Filtration (SEF) for the Separation and Concentration of Protein." In Membrane Technology Enhancement for Environmental Protection and Sustainable Industrial Growth, 127–42. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-41295-1_9.

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Benjeddou, A. "On Shear and Bending-Membrane Coupling in Sandwich Shells with Elastic or Viscoelastic Core." In Mechanics of Sandwich Structures, 89–96. Dordrecht: Springer Netherlands, 1998. http://dx.doi.org/10.1007/978-94-015-9091-4_10.

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Russell, Ian, and Alan Palmer. "Filtering Due to the Inner Hair-Cell Membrane Properties and its Relation to the Phase-Locking Limit in Cochlear Nerve Fibres." In Auditory Frequency Selectivity, 199–207. Boston, MA: Springer US, 1986. http://dx.doi.org/10.1007/978-1-4613-2247-4_23.

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Dow, John O. "Shear Locking, Aspect Ratio Stiffening, and Qualitative Errors." In A Unified Approach to the Finite Element Method and Error Analysis Procedures, 271–305. Elsevier, 1999. http://dx.doi.org/10.1016/b978-012221440-0/50043-1.

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Conference papers on the topic "Membrane and shear locking"

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D’Costa, Joseph F., Henryk K. Stolarski, and Arthur G. Erdman. "Dynamics of Curved Beams Undergoing Large Overall Motions Using the Mode Decomposition Concept." In ASME 1993 Design Technical Conferences. American Society of Mechanical Engineers, 1993. http://dx.doi.org/10.1115/detc1993-0258.

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Abstract A fully nonlinear formulation for the dynamics of initially curved and twisted beams, undergoing arbitrary spatial motions, is presented. The formulation admits finite bending, shearing and extension of the beam. The Mode decomposition method is employed to modify the strains in the finite element discretization process leading to the elimination of shear and membrane locking phenomena that arise in curved elements. The model incorporates all inertia effects and is capable of accurately capturing the phenomena of dynamic stiffening due to the coupling of the axial and membrane forces to the flexural deformation. All motion is referred to the inertial frame. The nonlinear formulation is suitable for modeling flexible multibody systems. Examples are presented to illustrate the validity of the proposed formulation.
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Morandini, Marco, and Pierangelo Masarati. "Implementation and Validation of a 4-Node Shell Finite Element." In ASME 2014 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2014. http://dx.doi.org/10.1115/detc2014-34473.

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This paper discusses the formulation and implementation of a 4-node C0 shell element within a general-purpose multibody formulation. A geometrically consistent set of strains and curvatures, defined in a co-rotational framework, is augmented by Enhanced Assumed Strains (EAS) and Assumed Natural Strains (ANS), to alleviate shear and membrane locking. The shell element formulation is validated by solving several static and dynamic problems from the open literature. The proposed element has been successfully used for the coupled structural and fluid-dynamics analysis of flapping wing micro-aerial vehicles.
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Wasfy, Tamer M. "Lumped-Parameters Brick Element for Modeling Shell Flexible Multibody Systems." In ASME 2001 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2001. http://dx.doi.org/10.1115/detc2001/vib-21338.

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Abstract An eight-node lumped-parameter brick element, suitable for modeling flexible multibody shell components, is described. The element is composed of twelve truss sub-elements for modeling the membrane and bending modes and six surface shear elements for modeling the shear and warping modes. The element is strategically designed to eliminate locking and spurious modes. Cartesian nodal coordinates are used as degrees-of-freedom with no rotational degrees-of-freedom. This simplifies the coordinate transformations and inertia calculations. A total Lagrangian displacement formulation where the element deformations are measured relative to the unstressed element is employed. The equations of motion are integrated using an explicit temporal integration algorithm. Standard finite element and flexible multibody dynamics test problems are solved to demonstrate the accuracy and robustness of the element. Also, the use of the element in a practical flexible multibody dynamics application, namely, deployment of a large space structure, is demonstrated.
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To, C. W. S., and Wei Liu. "Hybrid Strain Based Finite Element Modeling of Laminated Plates With Distributed Piezoelectric Components." In ASME 2001 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2001. http://dx.doi.org/10.1115/detc2001/cie-21275.

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Abstract A layerwise hybrid strain based lower order flat triangular laminated composite shell finite element with piezoelectric effects has been developed and reported in this paper. This layerwise three-node triangular shell element is formed by stacking a lower-order flat triangular shell element with piezoelectric effects. In every node there are seven degrees of freedom (dof). These include three translational dof, three rotational dof, and one electric potential dof. The important drilling dof (ddof) is included in every node. The degenerated three dimensional solid assumption and the first order shear deformation theory (FSDT) were adopted. Consequently, shear and membrane lockings are eliminated. This feature is superior to those elements based on the displacement formulation. Explicit expressions for the consistent element mass and stiffness matrices were obtained by using the symbolic algebraic package, MAPLE V. Thus, it reduces considerably the computational time as opposed to those applying numerical matrix inversion and numerical integration for the derivation of element matrices.
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ten Thije, R. H. W., and R. Akkerman. "Intra-ply shear locking." In 10TH ESAFORM CONFERENCE ON MATERIAL FORMING. AIP, 2007. http://dx.doi.org/10.1063/1.2729647.

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A, SHOKRY, and SPILIOPOULOS K V. "Shear Locking in Bilinear Quadratic Plane Elements." In Third International Conference on Advances In Civil, Structural and Environmental Engineering- ACSEE 2015. Institute of Research Engineers and Doctors, 2015. http://dx.doi.org/10.15224/978-1-63248-065-1-34.

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Fishman, T., A. Hardy, E. Kapon, and H. Pier. "Injection locking of shear-strained photonic lattices based on VCSEL arrays." In Advanced Semiconductor Lasers and Their Applications. Washington, D.C.: OSA, 1999. http://dx.doi.org/10.1364/asla.1999.147.

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Kurashima, Y., Y. Yokota, I. Miyamoto, H. Kataura, and Y. Sakakibara. "Mode-locking nano-porous alumina membrane embedded with carbon nanotube saturable absorber." In 2008 34th European Conference on Optical Communication. IEEE, 2008. http://dx.doi.org/10.1109/ecoc.2008.4729172.

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Kagermanov, Alexander, and Paola Ceresa. "Cyclic Shear Transfer Model for Smeared-Crack RC Membrane Elements." In Structures Conference 2018. Reston, VA: American Society of Civil Engineers, 2018. http://dx.doi.org/10.1061/9780784481349.013.

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Fan, W., and W. D. Zhu. "A New Locking-Free Formulation of a Three-Dimensional Shear-Deformable Beam." In ASME 2017 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2017. http://dx.doi.org/10.1115/detc2017-67598.

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A new locking-free formulation of a three-dimensional shear-deformable beam with large deformations and large rotations is developed. The position of the centroid line of the beam is integrated from its slope that is related to the rotation of a corresponding cross-section and stretch and shear strains. The rotation is parametrized by a rotation vector, which has a clear and intuitive physical meaning. Taylor polynomials are used for certain terms that have zero denominators to avoid singularity in numerical implementation. Governing equations of the beam are obtained using Lagrange’s equations for systems with constraints, and several benchmark problems are simulated to show the performance of the current formulation. Results show that the current formulation do not suffer from shear and Poisson locking problems that the absolute nodal coordinate formulation can have. Results from the current formulation for a planar static case are compared with its exact solutions, and they are in excellent agreement with each other, which verifies accuracy of the current formulation. Results from the current formulation are compared with those from commercial software ABAQUS and RecurDyn, and they are in good agreement with each other; the current formulation uses much fewer numbers of elements to yield converged results.
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