Authors: D.J. Wolthuizen, R. Akkerman
Abstract: A short overview of different locking mechanisms is presented, in which the more recent locking phenomenon tension locking is placed. Tension locking is found during composite forming simulations and occurs when the element edges are unaligned with the fiber directions. Discontinuities in composite forming simulations show similarities with other weak discontinuities such as material interfaces and shear bands found during shear localization. Two enrichment strategies are explored to resolve tension locking in linear triangular elements.
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Authors: Sylvain Mathieu, Philippe Boisse, Nahiene Hamila, Florent Bouillon
Abstract: 3D woven composite reinforcements preforming simulations are an unavoidable step of composite part processing. The present paper deals with thick composite fabric behavior modelling and issues arising during the numerical simulation of preforming. After the description of the independent deformation modes of initially orthotropic reinforcements, a physically motivated and invariant based hyperelastic strain energy density is introduced. This constitutive law is used to show the limitations of a classical finite element formulation in 3D fabric simulations. Tension locking is highlighted in bias extension tests and a reduced integration hexahedral finite element with specific physical hourglass stabilization is proposed. Instabilities due to the highly anisotropic behavior law, witnessed in bending dominated situations, are exposed and a stabilization procedure is initiated.
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Authors: Peng Fei Xu, Jian Hui Zhang, Ke Zhen Ma, Shu Bin Yan, Wen Dong Zhang
Abstract: Abstract. Microsphere resonator is widely studied for the high quality factor Q and small mode volume. Aimed at the sensor applications, the resonant point tracking and locking method is proposed for measuring the resonant frequency shift. To avoid external noises, such as air flow and vibration, spot-packaged coupling structure is adopted. The robustness of microsphere-taper coupling unit is greatly improved. And this lays a foundation for resonant point tracking and locking. By employing modulation method, the demodulation signal is obtained. To lock the laser frequency to resonant point, PID circuits will adjust the center frequency of laser until the intensity of demodulation signal becomes zero. In the experiment, resonant tracking and locking is realized on the rotating platform with rotation rate 2 r/s.
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Authors: Qiang Qin, Yun Wen Feng, Yuan Sheng Feng
Abstract: Locking function of a mechanism plays a significant role in safety and reliability. The operating principles of over-center locking in typical mechanisms and influencing factors of reliability to mechanism over-center locking were illustrated. A universal reliability analytical model of over-center locking mechanism was built and the algorithm of over-center angles was proposed. The result shows that in a planar four-bar mechanism, the dimension of driven link and variation coefficients have prominent influence on the reliability of over-center locking. The models and methods proposed in the paper could provide helpful reference in designing over-center locking of mechanisms.
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Authors: Da Yong Li, Ying Bing Luo, Ying Hong Peng
Abstract: Solid shell element models which possess only translational degrees of freedom and are
applicable to thin structure analyses has drawn much attention in recent years and presented good
prospect in sheet metal forming. In this study, a solid shell element model is introduced into the
dynamic explicit elastic-plastic finite element method. The plane stress constitutive relation is
assumed to relieve the thickness locking and the selected reduced integration method is used to
overcome volumetric locking. The assumed natural strain method is adopted to resolve shear
locking and trapezoidal locking problem. Two benchmark examples and a stage of roll forming
process are calculated, and the calculating results are compared with those by solid element model,
which demonstrates the effectiveness of the element.
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Authors: John D. Murphy, A. Giannattasio, Charles R. Alpass, Semih Senkader, Robert J. Falster, Peter R. Wilshaw
Abstract: Dislocation locking by nitrogen impurities has been investigated in float-zone silicon with nitrogen concentrations of 2.2 x 1015cm-3 and 3 x 1014cm-3. The stress required to unlock dislocations pinned by nitrogen impurities was measured as a function of annealing time (0 to 2500 hours) and temperature (550 to 830°C). For all conditions investigated the locking effect was found to increase linearly with annealing time before saturating. It is assumed that the rate of increase of unlocking stress with annealing time is a measure of transport of nitrogen to the dislocation core. This rate of increase was found to depend linearly on nitrogen concentration, which is consistent with transport by a dimeric species, whose activation energy for diffusion is approximately 1.4eV. The saturation unlocking stress has been found to be dependent on the nitrogen concentration. Additionally, the temperature dependence of the stress required to move dislocations immobilised by nitrogen impurities has been studied. By assuming a value for the binding energy of the nitrogen to the dislocation, the density of the locking species at the dislocation core has been calculated.
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