Efficient return algorithms for associated plasticity with multiple yield planes

A new return method for implicit integration of linear isotropic yield criteria is presented. The basic idea is to perform all the manipulations in the principal stress space and thereby achieve very simple formulae for calculating the plastic corrector stresses, based on the constant gradient of such criteria. The return formulae are in closed form and no iteration is required. The method accounts for three types of stress return: return to a single yield plane, to a discontinuity line at the intersection of two yield planes and to a discontinuity point at the intersection between three or more yield planes. The infinitesimal and the consistent elastoplastic constitutive matrix are calculated for each type of stress return, as are the conditions to ascertain which type of return is required. The method is exemplified with the Mohr–Coulomb yield criterion. Copyright © 2005 John Wiley & Sons, Ltd.     

An efficient return algorithm for non-associated plasticity with linear yield criteria in principal stress space

An efficient return algorithm for stress update in numerical plasticity computations is presented. The yield criterion must be linear in principal stress space and can be composed of any number of yield planes. Each of these yield planes may have an associated or non-associated flow rule. The stress return and the formation of the constitutive matrix is carried out in principal stress space. Here the manipulations simplify and rely on geometrical arguments. The singularities arising at the intersection of yield planes are dealt with in a straightforward way also based on geometrical considerations. The method is exemplified on non-associated Mohr–Coulomb plasticity throughout the paper.     

库仑摩擦对机械振动的影响

库仑摩擦力与运动的关系是非线性、非光滑的,从而使振动系统的动力学行为更加丰富。本文讨论库仑摩擦对单自由度系统自由振动及受迫振动的影响。将干摩擦阻尼系统与线性阻尼系统进行对比,借助MATLAB数值计算工具,分析两种系统在相空间中解的状态轨迹,得出干摩擦振动系统一些特有的动力学行为。     

Discussion on compact mechanism of air-stream and synchro-formed clamp plate impact molding

1 .Introduction Due to many advantages such as simple molding machine structure high compact compaction of sand mold, speed and well-distributed the air-stream impact molding method However, has been extensively used in production.when this molding method is applied to mold complicated pattern with wider top surface and deep     

A new adaptive backstepping Coulomb friction compensator for servo control systems

A new Coulomb friction compensator is proposed for servo control systems in this paper. The novelty of the new approach lies in its capability of assigning the eigenvalues of the resulting closed loop system while attacking the problem. First, based on the standard backstepping methodology, an implicit Lyapunov function, with part of the components being only symbolically constructed at the very beginning, is utilized. To increase the robustness of the system against disturbance and model inaccuracy, an integral term is employed in the design. Using part of the variable gradient method, we are able to turn the implicit Lyapunov function into an explicit one, which is positive definite, and whose time‐derivative is negative definite. Second, it will be shown that the resulting closed loop error system is a switched linear system with two possible active modes that share the same set of eigenvalues, which is at our disposal. Unlike the common adaptive control design methods, such as the Control Lyapunov Function approach, in which the gains are typically positive but otherwise arbitrary, and are hence difficult to choose and have a lack of connection with the system's performance, our new scheme imposes two further constraints on the gains. It turns out that we can then match these gains with the coefficients of the desired characteristic equation of the closed loop system. In this respect, the gains are linked to the system's overall performance, which is a new and very appealing feature for such a scheme. Finally, a procedure of constructing a common Lyapunov function is provided to prove exponential stability of the aforementioned switched linear system. In addition, using the invariance principle, we will show the convergence of the estimated Coulomb friction coefficient to its real value. Numerical simulations are given to validate the effectiveness of the design and its robustness against friction time‐variations. Compared to existing results, the proposed scheme is much simpler, hence, much more advantageous computationally. Copyright © 2009 John Wiley and Sons Asia Pte Ltd and Chinese Automatic Control Society     

Coulomb explosion following electronic excitation in ion-solid interaction

In atomic collisions in solids by the ions with very strong electronic interaction, it is confirmed that the atomic displacement process is enhanced by electronic excitation. Two experimental results are introduced as examples. The first is the columnar defect formation in a cuprate superconductor Bi₂Sr₂CaCu₂O_x which is irradiated with 3.5 GeV Xe ions, the second is sputtering induced by highly charged ion (HCI) bombardment (Xe^q+; q=15-44). Since there are some indications to show that these phenomena might be the outcome of the Coulomb explosion process, we tried to make a molecular dynamics simulation of the sputtering process based on this Coulomb explosion mechanism. Good agreement between the simulation and experiment was found. For sputtering of electrically conductive materials, the importance of neutralization dynamics of the HCI and the highly charged region in the solid materials was indicated.     

Ion-velocity dependence of high-density electronic excitation effects in oxide superconductors

Thin films of EuBa₂Cu₃O_y oxide superconductor have been irradiated with high energy heavy ions (80 MeV I, 125 MeV Br, 1.1 GeV Mo and 3.5 GeV Xe) having same electronic stopping power, S_e, in order to investigate the ion-velocity dependence of the electronic excitation effects under the constant electronic energy deposition. Although S_e is constant, a strong reduction in the irradiation effect on lattice parameter with increasing ion-velocity is observed in the low ion-velocity region around E  1 MeV/nucleon, while the ion-velocity dependence is hardly observed in the high ion-velocity region of E > 10 MeV/nucleon. If the observed velocity-dependence is assumed to be due to the change in the fraction of S_e contributing to defect creation, the fraction in the low velocity region (E  0.6 MeV/nucleon) is estimated to be about two times larger than that in the high velocity region (E > 10 MeV/nucleon).     

The influence of the Coulomb explosion on the energy loss of and molecules channeling along the Si 1 0 0 direction

In this work we have measured the contribution of the Coulomb explosion to the electronic stopping power of molecular hydrogen ions and channeling along the Si 1 0 0 direction. We have used a SIMOX target, consisting of crystalline Si 1 0 0 with a buried layer of SiO₂. The measurements of the energy loss of H⁺, and have been carried out using the standard channeling Rutherford backscattering spectrometry. The energy loss has been measured around the Si 1 0 0 channel at a fixed energy per nucleon (150 keV/amu) as a function of the tilt and azimuthal angles. The present results show the effect of Coulomb explosion, which enlarges the protons traversal energy and consequently the channeling energy loss. This heating effect due to ions is about two times larger than molecules and amounts to about 5% of the total stopping power.     

Charging and Spin Effects in Triple Dot Artificial Molecules

We have fabricated artificial molecules consisting of three coupled quantum dots defined in the two-dimensional electron gas of a GaAs/AlGaAs heterostructure using lithographically patterned gates and trenches. The three dots are arranged in a ring structure, where each dot is coupled to the other two dots. We find that, when tuned to the Coulomb blockade regime, the triple quantum dot device acts as a charge rectifier: an electron enters the third dot where it is trapped, producing a jamming effect where no other electron may enter the first dot. Triple quantum dots coupled in a ring will allow for the study of new molecular phases using artificial molecules and may also serve as building blocks of two-dimensional arrays for quantum computation.