共查询到20条相似文献,搜索用时 46 毫秒
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This paper is concerned with the application of the element-free Galerkin method to simulate the superelastic behaviour of shape memory alloys (SMA). The meshfree shape functions are derived from a moving least-squares interpolation scheme. A thermomechanical SMA constitutive law is used to describe the superelastic effect. The incremental displacement-based formulation for large deformation is developed by employing the meshfree shape functions and the continuum tangent stiffness tensor in the weak form of the equilibrium equations. By eliminating the unknown constrained nodal variables from the discrete equations, an effective approach is developed for the imposition of the essential boundary conditions. The numerical tests show that the proposed meshfree scheme can successfully reproduce the superelastic behaviour of shape memory alloys. 相似文献
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设计了一种基于柔性结构的SMA扭转驱动器,通过加热SMA丝收缩带动柔性结构变形从而实现驱动器的扭转输出。柔性结构在SMA丝拉力作用下的变形情况对驱动器的转角输出有很大的影响,为获得最大的输出转角,需对柔性结构的形状和SMA丝的作用点位置进行优化设计。采用三次B样条曲线描述柔性结构的形状,通过有限元法分析柔性结构的变形,并应用遗传算法进行柔性结构的形状优化和SMA丝作用点位置优化。实际算例表明,利用优化方法可快速有效地获得使SMA柔性扭转驱动器输出转角最大的柔性结构形状与SMA丝作用点位置。 相似文献
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A mathematical model for smart functionally graded beam integrated with shape memory alloy actuators
H. Sepiani F. Ebrahimi H. Karimipour 《Journal of Mechanical Science and Technology》2009,23(12):3179-3190
This paper presents a theoretical study of the thermally driven behavior of a shape memory alloy (SMA)/FGM actuator under
arbitrary loading and boundary conditions by developing an integrated mathematical model. The model studied is established
on the geometric parameters of the three-dimensional laminated composite box beam as an actuator that consists of a functionally
graded core integrated with SMA actuator layers with a uniform rectangular cross section. The constitutive equation and linear
phase transformation kinetics relations of SMA layers based on Tanaka and Nagaki model are coupled with the governing equation
of the actuator to predict the stress history and to model the thermo-mechanical behavior of the smart shape memory alloy/FGM
beam. Based on the classical laminated beam theory, the explicit solution to the structural response of the structure, including
axial and lateral deflections of the structure, is investigated. As an example, a cantilever box beam subjected to a transverse
concentrated load is solved numerically. It is found that the changes in the actuator’s responses during the phase transformation
due to the strain recovery are significant. 相似文献
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形状记忆合金驱动梁的变形分析及试验研究 总被引:3,自引:0,他引:3
将预拉伸的形状记忆合金 (Shapememoryalloy ,简称SMA)薄片作为驱动器 ,粘贴在构件表面。加热SMA ,当其发生相变时 ,会产生很大的恢复力 ,驱动构件发生变形。建立了粘有SMA薄条应变驱动器的简化机翼—梁的力学模型 ,分析了单边粘贴SMA梁的压弯复合变形 ,给出了其应变分布及弯曲变形的解析表达式。同时通过试验对理论结果进行了验证。 相似文献
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基于平均值坐标插值的多边形有限元方法--重心有限元,以代表性单胞为计算模型,讨论增强相的细观几何特征对纤维增强复合材料有效模量的影响.通过改变增强相的尺寸、形状和方位等几何特征后得到的计算结果表明,增强相尺寸是影响有效模量的最基本的因素.除此之外,方位的影响较之形状的影响要更加显著. 相似文献
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形状记忆合金梁的非线性弯曲变形 总被引:1,自引:2,他引:1
形状记忆合金(Shape memory alloy,SMA)梁作为一种新型智能元件,在工程领域的应用日益广泛。基于实测的形状记忆合金材料应力-应变关系曲线及梁的大变形理论,同时考虑SMA材料拉压力学性能的不对称性及简支端移动等因素,建立形状记忆合金梁非线性弯曲变形的控制方程,并采用打靶法、辛普森数值积分等方法对方程进行数值求解。通过梁在不同载荷条件下的挠曲线以及最大挠度—弯矩曲线,分析材料非线性、几何非线性及简支端移动3个因素对SMA超弹性梁弯曲变形的影响规律。结果表明:梁中性层位置随弯矩变化;弯矩较小时,材料性能是线性的,几何非线性及简支端移动对梁的弯曲变形几乎不产生影响;弯矩较大时,材料性能是非线性的,几何非线性及简支端移动对梁的弯曲变形产生明显影响。 相似文献
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Finite element method for rigid-plastic analysis of metal forming—Formulation for finite deformation
For the finite element analysis of metal forming processes, a method based on the equilibrium of nodal forces is proposed by assuming the deforming metal to be a slightly compressible rigid-plastic material. As an extension of the method, a formulation for finite deformation is derived on the basis of the equilibrium of nodal forces at the end of incremental deformation. The effects of work-hardening and shape change of element during incremental deformation are incorporated. This formulation is more accurate than that of the simple extension of infinitesimal deformation when dealing with non-steady problems, and is particularly effective for the processes in which the mode of deformation is sensitively changed by the distribution of flow stress and variation of shape. The effectiveness of the method is demonstrated by the examples of a tension test on an axi-symmetric specimen and of the plane-strain compression of blocks. 相似文献
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确定结构极限载荷的有限元简化算法 总被引:2,自引:0,他引:2
基于线性硬化材料形变理论,本文提出了一种计算结构极限载荷的有限元简化算法。与传统的弹塑性增量有限元方法相比,本方法可以避免每一增量步的平衡迭代和在每个高斯点的本构方程的积分,同时该方法不仅理论简洁,而且易于编制成程序或耦合入其他有限元程序中。 相似文献
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Xu W Frank TG Cuschieri A 《Proceedings of the Institution of Mechanical Engineers. Part H, Journal of engineering in medicine》2005,219(3):213-217
A medical needle is described that allows injection to take place at multiple sites through a single stab wound. This is achieved by extruding multiple, thin, and curved internal needles from a larger, straight, outer needle. The development and finite element modelling of the shape memory alloy (SMA) inner needles is presented in this paper. A non-linear elastic element model was used in this process to allow for the non-linear properties of the alloy and the large deformations that occur. The model provided maximum strain values and penetration forces for the inner needles. The deformation force on the tip of the needle was measured against displacement to confirm the predicted penetration force. Applications for the device include the treatment of liver cancer by direct injection of alcohol into the tumours. 相似文献
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A rigid—plastic finite element formulation for the continuum elements employing the geometric nonlinearity during an incremental time step is presented. In sheet metal deformation, the displacement for each step is considerably large even though the effective strain increment is very small. For such large displacement problems, geometric nonlinearity must be considered. In the elastic—plastic finite element using continuum elements, general incremental formulations to include the geometric nonlinearity are available. However, in the conventional rigid—plastic finite element analysis using continuum, elements, the geometric nonlinearity has not been considered properly during an incremental time step. In this paper, in order to incorporate geometric nonlinearity to rigid—plastic continuum elements during a step, the convected coordinate system is introduced. To show the stability of strain distributions by the effect of geometric nonlinearity according to incremental step size, two sheet metal forming processes, stretching and deep drawing process, are analysed with various step sizes. Then the computed results using the derived equation are compared with those obtained without considering geometric nonlinearity. 相似文献