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1

Jung, Won, Kyung-Eun Lee, Sae-Ah Sun, and Bong-Jik Suh. "Opening Exercise Therapy with Locking-free Appliance(LA) : Preliminary Study." Journal of Oral Medicine and Pain 38, no. 1 (March 30, 2013): 29–34. http://dx.doi.org/10.14476/jomp.2013.38.1.029.

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2

Xiang-ming, Zhang, Wang An-wen, and He Han-lin. "Locking-free degenerated isoparametric shell element." Applied Mathematics and Mechanics 22, no. 5 (May 2001): 609–17. http://dx.doi.org/10.1007/bf02437752.

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3

Guoqing Yang, Guoqing Yang, Yunfei Xu) Yunfei Xu), Qiang Lin Qiang Lin, and Han Zhang Han Zhang. "Modulation-free laser frequency offset locking using buffer gas-induced resonance." Chinese Optics Letters 11, no. 10 (2013): 100201–3. http://dx.doi.org/10.3788/col201311.100201.

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4

Grindrod, Kelly, Jonathan Boersema, Khrystine Waked, Vivian Smith, Jilan Yang, and Catherine Gebotys. "Locking it down." Canadian Pharmacists Journal / Revue des Pharmaciens du Canada 150, no. 1 (December 6, 2016): 60–66. http://dx.doi.org/10.1177/1715163516680226.

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Objective: To explore the privacy and security of free medication applications (apps) available to Canadian consumers. Methods: The authors searched the Canadian iTunes store for iOS apps and the Canadian Google Play store for Android apps related to medication use and management. Using an Apple iPad Air 2 and a Google Nexus 7 tablet, 2 reviewers generated a list of apps that met the following inclusion criteria: free, available in English, intended for consumer use and related to medication management. Using a standard data collection form, 2 reviewers independently coded each app for the presence/absence of passwords, the storage of personal health information, a privacy statement, encryption, remote wipe and third-party sharing. A Cohen’s Kappa statistic was used to measure interrater agreement. Results: Of the 184 apps evaluated, 70.1% had no password protection or sign-in system. Personal information, including name, date of birth and gender, was requested by 41.8% (77/184) of apps. Contact information, such as address, phone number and email, was requested by 25% (46/184) of apps. Finally, personal health information, other than medication name, was requested by 89.1% (164/184) of apps. Only 34.2% (63/184) of apps had a privacy policy in place. Conclusion: Most free medication apps offer very limited authentication and privacy protocols. As a result, the onus currently falls on patients to input information in these apps selectively and to be aware of the potential privacy issues. Until more secure systems are built, health care practitioners cannot fully support patients wanting to use such apps.
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5

Chen, Lei, Gang Won Jang, Tae Jin Chung, and Tae Hyun Baek. "Application of P1-Nonconforming Element for Shell Structure of Incompressible Materiel." Advanced Engineering Forum 2-3 (December 2011): 1051–56. http://dx.doi.org/10.4028/www.scientific.net/aef.2-3.1051.

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This research focused on solving volumetric locking problem of shell structure of incompressible material. Degenerated solid-shell elements are widely applied on curved structure. But, volumetric locking will take place when the structure is made of incompressible material, such as rubber. Due to Poisson’s locking free property of P1-nonconforming element, it is employed to solve volumetric locking problem of shell structure. Furthermore, the study on shell structure is extended to topology optimization design. To verify the volumetric locking free of P1-nonconforming element on shell structure of incompressible material, some structures are studied by different elements. Comparing with the utilization of high order elements to solve volumetric locking problems, P1-nonconforming elements can save calculation time and reduce the numerical cost.
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6

Cho, J. Y., and S. N. Atluri. "Analysis of shear flexible beams, using the meshless local Petrov‐Galerkin method, based on a locking‐free formulation." Engineering Computations 18, no. 1/2 (February 1, 2001): 215–40. http://dx.doi.org/10.1108/02644400110365888.

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The problems of shear flexible beams are analyzed by the MLPG method based on a locking‐free weak formulation. In order for the weak formulation to be locking‐free, the numerical characteristics of the variational functional for a shear flexible beam, in the thin beam limit, are discussed. Based on these discussions a locking‐free local symmetric weak form is derived by changing the set of two dependent variables in governing equations from that of transverse displacement and total rotation to the set of transverse displacement and transverse shear strain. For the interpolation of the chosen set of dependent variables (i.e. transverse displacement and transverse shear strain) in the locking‐free local symmetric weak form, the recently proposed generalized moving least squares (GMLS) interpolation scheme is utilized, in order to introduce the derivative of the transverse displacement as an additional nodal degree of freedom, independent of the nodal transverse displacement. Through numerical examples, convergence tests are performed. To identify the locking‐free nature of the proposed method, problems of shear flexible beams in the thick beam limit and in the thin beam limit are analyzed, and the numerical results are compared with analytical solutions. The potential of using the truly meshless local Petrov‐Galerkin (MLPG) method is established as a new paradigm in totally locking‐free computational analyses of shear flexible plates and shells.
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7

Arnold, Douglas N., and Franco Brezzi. "Locking-free finite element methods for shells." Mathematics of Computation 66, no. 217 (January 1, 1997): 1–15. http://dx.doi.org/10.1090/s0025-5718-97-00785-0.

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8

Oyarzúa, Ricardo, and Ricardo Ruiz-Baier. "Locking-Free Finite Element Methods for Poroelasticity." SIAM Journal on Numerical Analysis 54, no. 5 (January 2016): 2951–73. http://dx.doi.org/10.1137/15m1050082.

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9

Duan, Huo-Yuan, and Guo-Ping Liang. "A locking-free Reissner-Mindlin quadrilateral element." Mathematics of Computation 73, no. 248 (November 24, 2003): 1655–72. http://dx.doi.org/10.1090/s0025-5718-03-01619-3.

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10

Vidal, Yolanda, Pierre Villon, and Antonio Huerta. "Locking in the incompressible limit: pseudo-divergence-free element free Galerkin." Revue Européenne des Éléments Finis 11, no. 7-8 (January 2002): 869–92. http://dx.doi.org/10.3166/reef.11.869-892.

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11

Vidal, Yolanda, Pierre Villon, and Antonio Huerta. "Locking in the incompressible limit: pseudo-divergence-free element free Galerkin." Communications in Numerical Methods in Engineering 19, no. 9 (August 19, 2003): 725–35. http://dx.doi.org/10.1002/cnm.631.

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12

Ya'ish, F., A. Waton, H. B'Durga, and A. Nanu. "OSTEOCUTANEOUS RADIAL FOREARM FREE FLAPS: PROPHYLACTIC FIXATION OF DONOR SITE USING LOCKING PLATE AUGMENTED WITH MINERAL CEMENT." Hand Surgery 16, no. 02 (January 2011): 215–22. http://dx.doi.org/10.1142/s0218810411005400.

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Prophylactic plating of donor site in osteocutaneous radial forearm free flaps have demonstrated improvement in fracture rates. Previous series used conventional plating systems which rely on plate-bone friction forces to generate stability and can result in iatrogenic fractures if not accurately contoured. Locking plates have superior stability and do not require contouring. This retrospective series reports our experience using locking plate fixation augmented with calcium phosphate mineral cement. Twenty patients' records were reviewed; 13 were alive and reviewed clinically. Mean radiological follow-up was 28.2 months. Two deceased patients had donor site fractures diagnosed on the first postoperative radiograph. These fractures were related to technical fixation errors and failure to apply correct locking fixation principles. None of the other patients with proper locking fixation had fractures or metalwork related complications. We believe that locking fixation augmented with mineral cement can provide more biological stability and enhance restoration of bone structural strength.
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13

Chow, W. W., Z. S. Yang, G. A. Vawter, and E. J. Skogen. "Modulation Response Improvement With Isolator-Free Injection-Locking." IEEE Photonics Technology Letters 21, no. 13 (July 2009): 839–41. http://dx.doi.org/10.1109/lpt.2009.2019768.

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14

Wihler, T. P. "Locking-free DGFEM for elasticity problems in polygons." IMA Journal of Numerical Analysis 24, no. 1 (January 1, 2004): 45–75. http://dx.doi.org/10.1093/imanum/24.1.45.

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15

Reddy, J. N. "On locking-free shear deformable beam finite elements." Computer Methods in Applied Mechanics and Engineering 149, no. 1-4 (October 1997): 113–32. http://dx.doi.org/10.1016/s0045-7825(97)00075-3.

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16

Lee, Pal-Gap, and Hyo-Chol Sin. "Locking-free curved beam element based on curvature." International Journal for Numerical Methods in Engineering 37, no. 6 (March 30, 1994): 989–1007. http://dx.doi.org/10.1002/nme.1620370607.

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17

Lee, Pal-Gap, and Hyo-Chol Sin. "Locking-free straight beam element based on curvature." Communications in Numerical Methods in Engineering 9, no. 12 (December 1993): 1005–11. http://dx.doi.org/10.1002/cnm.1640091207.

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18

Dolbow, John, and Ted Belytschko. "Volumetric locking in the element free Galerkin method." International Journal for Numerical Methods in Engineering 46, no. 6 (October 30, 1999): 925–42. http://dx.doi.org/10.1002/(sici)1097-0207(19991030)46:6<925::aid-nme729>3.0.co;2-y.

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19

Kanok-Nukulchai, W., W. J. Barry, and K. Saran-Yasoontorn. "Meshless formulation for shear-locking free bending elements." Structural Engineering and Mechanics 11, no. 2 (February 25, 2001): 123–32. http://dx.doi.org/10.12989/sem.2001.11.2.123.

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20

Arnold, Douglas N., Franco Brezzi, Richard S. Falk, and L. Donatella Marini. "Locking-free Reissner–Mindlin elements without reduced integration." Computer Methods in Applied Mechanics and Engineering 196, no. 37-40 (August 2007): 3660–71. http://dx.doi.org/10.1016/j.cma.2006.10.023.

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21

Bouclier, Robin, Thomas Elguedj, and Alain Combescure. "Locking free isogeometric formulations of curved thick beams." Computer Methods in Applied Mechanics and Engineering 245-246 (October 2012): 144–62. http://dx.doi.org/10.1016/j.cma.2012.06.008.

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22

Nash, Jonathan. "A scalable and starvation-free concurrent locking mechanism." Concurrency: Practice and Experience 11, no. 13 (November 1999): 823–33. http://dx.doi.org/10.1002/(sici)1096-9128(199911)11:13<823::aid-cpe456>3.0.co;2-z.

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23

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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24

Bramble, James H., and Tong Sun. "A locking-free finite element method for Naghdi shells." Journal of Computational and Applied Mathematics 89, no. 1 (March 1998): 119–33. http://dx.doi.org/10.1016/s0377-0427(97)00234-3.

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25

Falk, Richard S., and Tong Tu. "Locking-free finite elements for the Reissner-Mindlin plate." Mathematics of Computation 69, no. 231 (August 20, 1999): 911–29. http://dx.doi.org/10.1090/s0025-5718-99-01165-5.

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26

Krysl, P., and B. Zhu. "Locking-free continuum displacement finite elements with nodal integration." International Journal for Numerical Methods in Engineering 76, no. 7 (November 12, 2008): 1020–43. http://dx.doi.org/10.1002/nme.2354.

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27

Zhang, Yi, Eric Lorentz, and Jacques Besson. "Ductile damage modelling with locking-free regularised GTN model." International Journal for Numerical Methods in Engineering 113, no. 13 (February 2, 2018): 1871–903. http://dx.doi.org/10.1002/nme.5722.

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28

Lammering, Rolf, and Fan Yang. "Implementation of a Free-locking Composite Piezoelectric Shell Element." PAMM 8, no. 1 (December 2008): 10531–32. http://dx.doi.org/10.1002/pamm.200810531.

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29

Wang, Li, Zhong-Rong Lu, and Zuo-Qiu Liu. "Complementary energy principle for elastodynamics: Free of volumetric locking." International Journal of Solids and Structures 120 (August 2017): 103–14. http://dx.doi.org/10.1016/j.ijsolstr.2017.04.032.

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30

Celiker, Fatih, Bernardo Cockburn, and Henryk K. Stolarski. "Locking‐Free Optimal Discontinuous Galerkin Methods for Timoshenko Beams." SIAM Journal on Numerical Analysis 44, no. 6 (January 2006): 2297–325. http://dx.doi.org/10.1137/050635821.

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31

Jerby, E., and G. Bekefi. "AM mode-locking of a free-electron laser oscillator." IEEE Journal of Quantum Electronics 29, no. 11 (1993): 2845–51. http://dx.doi.org/10.1109/3.248944.

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32

ZHU, Z. H., and S. A. MEGUID. "ANALYSIS OF THREE-DIMENSIONAL LOCKING-FREE CURVED BEAM ELEMENT." International Journal of Computational Engineering Science 05, no. 03 (September 2004): 535–56. http://dx.doi.org/10.1142/s1465876304002551.

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33

Zhang, Jingyuan, Chenguang Zhou, Yanzhao Cao, and A. J. Meir. "A locking free numerical approximation for quasilinear poroelasticity problems." Computers & Mathematics with Applications 80, no. 6 (September 2020): 1538–54. http://dx.doi.org/10.1016/j.camwa.2020.07.011.

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34

Ferchichi, Hanen, and Saloua Mani Aouadi. "A conforming locking-free approximation for a Koiter shell." Applied Mathematics and Computation 339 (December 2018): 374–89. http://dx.doi.org/10.1016/j.amc.2018.07.040.

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35

Chinosi, C., C. Lovadina, and L. D. Marini. "Nonconforming locking-free finite elements for Reissner–Mindlin plates." Computer Methods in Applied Mechanics and Engineering 195, no. 25-28 (May 2006): 3448–60. http://dx.doi.org/10.1016/j.cma.2005.06.025.

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36

Auricchio, F., L. Beirão da Veiga, J. Kiendl, C. Lovadina, and A. Reali. "Locking-free isogeometric collocation methods for spatial Timoshenko rods." Computer Methods in Applied Mechanics and Engineering 263 (August 2013): 113–26. http://dx.doi.org/10.1016/j.cma.2013.03.009.

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37

Yu, Haidong, Chunzhang Zhao, Bin Zheng, and Hao Wang. "A new higher-order locking-free beam element based on the absolute nodal coordinate formulation." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 232, no. 19 (October 25, 2017): 3410–23. http://dx.doi.org/10.1177/0954406217736550.

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The beam elements based on the absolute nodal coordinate formulation are widely used in large deformation and large rotation problems. Some of them lead to shear and Poisson locking problems when the continuum mechanics method is employed to deduce the generalized elastic force of the element. To circumvent these locking problems, a new higher-order beam element is proposed that may capture the warping and non-uniform stretching distribution of the cross-section by introducing the trapezoidal cross-section deformation mode and increasing the order of interpolation polynomials in transverse direction. The curvature vectors are chosen as the nodal coordinates of the new element that improve the continuity condition at the element interface. Static and dynamic analyses are conducted to investigate the performance of the new element. Poisson locking phenomena may be eliminated effectively for the new element even when Poisson’s ratio is greater than zero. Meanwhile, the distortion deformation of the cross-section may be described directly. The new element has a better convergence performance compared with the spatial absolute nodal coordinate formulation beam element for that shear locking issue is eliminated. The results also show that the new element fulfills energy conservation and may be applied to the dynamics of both straight and initial curved structures with large deformation.
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38

Yu, Hoon, Seung Jin Kim, and Jung Bog Kim. "Velocity Selective Polarization Spectroscopy for Modulation-Free Dispersion Signals at Detuned Frequencies." Journal of Spectroscopy 2014 (2014): 1–5. http://dx.doi.org/10.1155/2014/541063.

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We present a simple technique to obtain modulation-free locking signals at the detuned frequency from an atom transition between hyperfine structures. Polarization spectroscopy allows us to obtain the dispersion signals that are suitable for frequency locking. Velocity selective optical pumping using another laser beam also allows us to obtain signals at the detuned frequency and to shift crossover signal away. By combining these two techniques, we were able to obtain the velocity selective birefringence signal only at the principle transition in an Rb vapor cell and compare the birefringence signal with the theoretical spectrum predicted by using Nakayama’s model.
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39

Ahmed, Naveed, Alexander Linke, and Christian Merdon. "Towards Pressure-Robust Mixed Methods for the Incompressible Navier–Stokes Equations." Computational Methods in Applied Mathematics 18, no. 3 (July 1, 2018): 353–72. http://dx.doi.org/10.1515/cmam-2017-0047.

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AbstractIn this contribution, we review classical mixed methods for the incompressible Navier–Stokes equations that relax the divergence constraint and are discretely inf-sup stable. Though the relaxation of the divergence constraint was claimed to be harmless since the beginning of the 1970s, Poisson locking is just replaced by another more subtle kind of locking phenomenon, which is sometimes called poor mass conservation and led in computational practice to the exclusion of mixed methods with low-order pressure approximations like the Bernardi–Raugel or the Crouzeix–Raviart finite element methods. Indeed, divergence-free mixed methods and classical mixed methods behave qualitatively in a different way: divergence-free mixed methods are pressure-robust, which means that, e.g., their velocity error is independent of the continuous pressure. The lack of pressure robustness in classical mixed methods can be traced back to a consistency error of an appropriately defined discrete Helmholtz projector. Numerical analysis and numerical examples reveal that really locking-free mixed methods must be discretely inf-sup stable and pressure-robust, simultaneously. Further, a recent discovery shows that locking-free, pressure-robust mixed methods do not have to be divergence free. Indeed, relaxing the divergence constraint in the velocity trial functions is harmless, if the relaxation of the divergence constraint in some velocity test functions is repaired, accordingly. Thus, inf-sup stable, pressure-robust mixed methods will potentially allow in future to reduce the approximation order of the discretizations used in computational practice, without compromising the accuracy.
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40

Sulbhewar, Litesh N., and P. Raveendranath. "A locking-free coupled polynomial Timoshenko piezoelectric beam finite element." Engineering Computations 32, no. 5 (July 6, 2015): 1251–74. http://dx.doi.org/10.1108/ec-09-2013-0218.

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Purpose – Piezoelectric extension mode smart beams are vital part of modern control technology and their numerical analysis is an important step in the design process. Finite elements based on First-order Shear Deformation Theory (FSDT) are widely used for their structural analysis. The performance of the conventional FSDT-based two-noded piezoelectric beam formulations with assumed independent linear field interpolations is not impressive due to shear and material locking phenomena. The purpose of this paper is to develop an efficient locking-free FSDT piezoelectric beam element, while maintaining the same number of nodal degrees of freedom. Design/methodology/approach – The governing equations are derived using a variational formulation to establish coupled polynomial field representation for the field variables. Shape functions based on these coupled polynomials are employed here. The proposed formulation eliminates all locking effects by accommodating strain and material couplings into the field interpolation, in a variationally consistent manner. Findings – The present formulation shows improved convergence characteristics over the conventional formulations and proves to be the most efficient way to model extension mode piezoelectric smart beams, as demonstrated by the results obtained for numerical test problems. Originality/value – To the best of the authors’ knowledge, no such FSDT-based finite element with coupled polynomial shape function exists in the literature, which incorporates electromechanical coupling along with bending-extension and bending-shear couplings at the field interpolation level itself. The proposed formulation proves to be the fastest converging FSDT-based extension mode smart beam formulation.
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41

Askes, Harm, René de Borst, and Otto Heeres. "Conditions for locking-free elasto-plastic analyses in the Element-Free Galerkin method." Computer Methods in Applied Mechanics and Engineering 173, no. 1-2 (April 1999): 99–109. http://dx.doi.org/10.1016/s0045-7825(98)00259-x.

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42

Svetec, Milan, and Mitja Slavinec. "Nematic Liquid Crystal Locking Menisci." Advances in Condensed Matter Physics 2013 (2013): 1–6. http://dx.doi.org/10.1155/2013/756902.

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We study meniscus driven locking of point defects of nematic liquid crystals confined within a cylindrical tube with free ends. Curvilinear coordinate system is introduced in order to focus on the phenomena of both (convex and concave) types of menisci. Frank's description in terms of the nematic director field is used. The resulting Euler-Lagrange differential equation is solved numerically. We determine conditions for the defects to be trapped by the meniscus.
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43

Ferchichi, Hanen. "A MIXED FORMULATION FOR A BENDING DOMINATED KOITER SHELL WITH OBSTACLE." Journal of Computer Science and Applied Mathematics 3, no. 1 (May 18, 2021): 1–7. http://dx.doi.org/10.37418/jcsam.3.1.1.

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In this paper, we present a mixed formulation for a bending dominated Koiter shell with obstacle in order to avoid numerical locking or the deterioration of the convergence when the small parameter the thickness goes to zero. This formulation is a combination between the free locking mixed formulation presented in [1,10] and the Koiter’s model with obstacle for flexural shell proposed in [6].
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44

Wang, Ruishu, Lin Mu, and Xiu Ye. "A locking free Reissner-Mindlin element with weak Galerkin rotations." Discrete & Continuous Dynamical Systems - B 24, no. 1 (2019): 351–61. http://dx.doi.org/10.3934/dcdsb.2018086.

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45

Schnabl, S., M. Saje, G. Turk, and I. Planinc. "Locking-free two-layer Timoshenko beam element with interlayer slip." Finite Elements in Analysis and Design 43, no. 9 (June 2007): 705–14. http://dx.doi.org/10.1016/j.finel.2007.03.002.

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46

Pitkäranta, Juhani. "The first locking-free plane-elastic finite element: historia mathematica." Computer Methods in Applied Mechanics and Engineering 190, no. 11-12 (December 2000): 1323–66. http://dx.doi.org/10.1016/s0045-7825(00)00163-8.

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47

Carstensen, C., G. Dolzmann, S. A. Funken, and D. S. Helm. "Locking-free adaptive mixed finite element methods in linear elasticity." Computer Methods in Applied Mechanics and Engineering 190, no. 13-14 (December 2000): 1701–18. http://dx.doi.org/10.1016/s0045-7825(00)00185-7.

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48

Chilton, Lawrence, and Manil Suri. "Locking-free mixed hp finite element methods for curvilinear domains." Computer Methods in Applied Mechanics and Engineering 190, no. 26-27 (March 2001): 3427–42. http://dx.doi.org/10.1016/s0045-7825(00)00277-2.

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49

Liu, Hao, Tao Chen, Rong Shu, Guanglie Hong, Long Zheng, Ye Ge, and Yihua Hu. "Wavelength-locking-free 157µm differential absorption lidar for CO_2 sensing." Optics Express 22, no. 22 (October 31, 2014): 27675. http://dx.doi.org/10.1364/oe.22.027675.

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50

Belhachmi, Z., J. M. Sac-Epée, and S. Tahir. "Locking-Free Finite Elements for Unilateral Crack Problems in Elasticity." Mathematical Modelling of Natural Phenomena 4, no. 1 (2009): 1–20. http://dx.doi.org/10.1051/mmnp/20094101.

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