共查询到20条相似文献,搜索用时 31 毫秒
1.
D. K. Vu P. Steinmann G. Possart 《International journal for numerical methods in engineering》2007,70(6):685-704
The numerical modelling of non‐linear electroelasticity is presented in this work. Based on well‐established basic equations of non‐linear electroelasticity a variational formulation is built and the finite element method is employed to solve the non‐linear electro‐mechanical coupling problem. Numerical examples are presented to show the accuracy of the implemented formulation. Copyright © 2006 John Wiley & Sons, Ltd. 相似文献
2.
Anna Ask Ralf Denzer Andreas Menzel Matti Ristinmaa 《International journal for numerical methods in engineering》2013,94(6):554-572
This work deals with inverse‐motion‐based form finding for electroelasticity. The inverse motion problem is formulated for the electroelastic case, and the resulting equations are implemented within a finite element framework. A four‐field variational approach is adopted, taking into consideration the typically incompressible behavior of the elastomer materials commonly used in electromechanical applications. By means of numerical simulations, the inverse‐motion‐based form finding makes it possible to design the referential configuration so that a given set of loads and boundary conditions results in a prespecified deformed configuration. The computational finite element framework established in this work allows for such numerical simulations and testing and thereby the possibility to improve the design and accuracy in electroelastic applications such as grippers, sensors, and seals. Copyright © 2013 John Wiley & Sons, Ltd. 相似文献
3.
G. M.
Kulikov S. V. Plotnikova A. O. Glebov 《International journal for numerical methods in engineering》2020,121(17):3795-3823
In this work, the finite rotation exact geometry four-node solid-shell element using the sampling surfaces (SaS) method is developed for the analysis of the second Piola-Kirchhoff stresses in laminated piezoelectric shells. The SaS method is based on choosing inside the layers the arbitrary number of SaS parallel to the middle surface and located at Chebyshev polynomial nodes in order to introduce the displacements and electric potentials of these surfaces as fundamental shell unknowns. The outer surfaces and interfaces are also included into a set of SaS. To circumvent shear and membrane locking, the hybrid-mixed solid-shell element on the basis of the Hu-Washizu variational principle is proposed. The tangent stiffness matrix is evaluated by 3D analytical integration throughout the finite element. This novelty provides a superior performance in the case of coarse meshes. A comparison with the SOLID226 element showed that the developed exact geometry SaS solid-shell element allows the use of load increments, which are much larger than possible with existing displacement-based finite elements. Thus, it can be recommended for the 3D stress analysis of doubly-curved laminated piezoelectric shells because the SaS formulation gives the opportunity to obtain the 3D solutions of electroelasticity with a prescribed accuracy. 相似文献
4.
A new method of analyzing ultrasonic receiving transducers, based on a calculation of the electroelasticity of a piezoelectric
element when the sensitive element is in a state of bulk stress is presented. The method enables the structural parameters
of pickups to be optimized, taking into account the input circuits of the amplifier-converter apparatus.
Translated from Izmeritel'naya Tekhnika, No. 7, pp. 53–56, July, 1998. 相似文献
5.
A. Büschel S. Klinkel W. Wagner 《International journal for numerical methods in engineering》2013,93(8):834-856
Dielectric elastomer actuators that can directly turn electrical energy into mechanical energy belong to the group of electroactive polymers. This type of electroelastic material exhibits large displacement characteristics and is able to change its mechanical behavior in response to the application of an electric field. Dielectric actuators are made out of elastomers which in general show viscoelastic behavior. To take this time dependent effect into account, the deformation gradient is multiplicatively decomposed. The paper is focused on the numerical modeling of soft dielectric elastomers. The theoretical foundation and the consistent finite element implementation is outlined based on the laws of electricity and elasticity. Furthermore, numerical examples of the nonlinear visco‐electroelasticity model are shown. Copyright © 2012 John Wiley & Sons, Ltd. 相似文献
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7.
A finite element formulation is presented for the equations governing the steady thermohydrodynamic behaviour of liquid lubricated bearings. This formulation permits application of the iterative solution scheme to bearings of arbitrary geometry. A generalized Reynolds equation resulting from the combination of the mass and momentum conservation equations is cast into variational form and used to derive general finite element equations. The method of weighted residuals with Galerkin's criterion is used to generate finite element matrix equations for the thermal energy equation. In addition to the finite element formulation, a discussion of appropriate finite difference techniques is also given for problems without complex geometry. As an example, the formulations are applied to obtain numerical solutions for a three-dimensional sector thrust bearing operating in the thermohydrodynamic regime. Pressure, velocity and temperature distributions are give, and the thermohydrodynamic solutions are compared with the results of classical isothermal theory. 相似文献
8.
I. BABUKA J. M. MELENK 《International journal for numerical methods in engineering》1997,40(4):727-758
A new finite element method is presented that features the ability to include in the finite element space knowledge about the partial differential equation being solved. This new method can therefore be more efficient than the usual finite element methods. An additional feature of the partition-of-unity method is that finite element spaces of any desired regularity can be constructed very easily. This paper includes a convergence proof of this method and illustrates its efficiency by an application to the Helmholtz equation for high wave numbers. The basic estimates for a posteriori error estimation for this new method are also proved. © 1997 by John Wiley & Sons, Ltd. 相似文献
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10.
Xue-Cheng Ping Meng-Cheng Chen Lin Leng Si-Hai Wu 《International Journal of Mechanics and Materials in Design》2012,8(3):219-236
A novel hybrid finite element method based on a numerical procedure is proposed to compute singular field near V-shaped notch corners in an anisotropic material containing polygonal holes. The finite element method is established by the following three steps: (1) an ad hoc one-dimensional finite element formulation is employed to determined numerical eigensolutions of the singular field near an V-shaped notch corner; (2) a super corner tip element is constructed to determine the strength of the singular field, in which the independent assumed stress fields are extracted from the eigensolutions; (3) a novel hybrid finite element equation is obtained by coupling the super corner tip element with the conventional hybrid stress elements. In numerical examples, generalized stress intensity factors for interactions between two polygonal holes with various geometry, space position and material property are mainly discussed. All the numerical results show that present method yields satisfactory singular stress field solutions with fewer elements. Compared with the conventional finite element methods and integral equation methods, the present method is more suitable for dealing with micromechanics of anisotropic materials. 相似文献
11.
A hybrid finite element model based on F-Trefftz kernels (fundamental solutions) is formulated for analyzing Dirichlet problems associated with two-dimensional nonlinear Poisson-type equations including nonlinear Poisson-Boltzmann equation and diffusion-reaction equation. The nonlinear force term in the Poisson-type equation is frozen by introducing the imaginary terms at each Picard iteration step, and then the induced Poisson problem is solved by the present hybrid finite element model involving element boundary integrals only, coupling with the particular solution method with radial basis function interpolation. The numerical accuracy of the present method is investigated by numerical experiments for problems with complex geometry and various nonlinear force functions. 相似文献
12.
采用具有三个平动自由度和一个扭转自由度的三节点等参单元离散覆冰导线,用欧拉梁单元离散间隔棒,考虑覆冰导线所受空气动力的非线性和导线大幅运动的几何非线性,利用虚功原理建立覆冰分裂导线非线性有限元方程。用Newmark时间积分和Newton-Raphson非线性迭代法求解有限元方程。编制了相应的计算程序,通过算例验证了方法和程序的正确性。进一步利用由风洞实验获得的覆冰四分裂导线的空气动力系数,模拟研究具有不同档距的覆冰四分裂线路的舞动,为舞动防止技术的研究提供参考。所给出的方法适用于任意多分裂导线的舞动研究。 相似文献
13.
M. Ikegawa 《International journal for numerical methods in engineering》1979,14(1):103-113
A new finite element technique for two-dimensional viscous incompressible fluid flow problems is presented in this paper. The vorticity transport equation is integrated in a small control volume, which results in the conservation law of vorticity. The finite element technique is applied to this equation together with the continuity equation, where simple linear triangular elements with three nodes are used for the formulation. Resulting sets of algebraic equations are solved by the use of a kind of relaxation method. Numerical results for viscous flow past a cavity show good agreement with experimental results. 相似文献
14.
该文提出了一种计算效率较高的分析不同材料界面应力奇异性的一维杂交有限元方法。为了推导该方法,首先列出了用于求解不同材料界面裂纹奇异应力场特征解的基本方程和边界条件,然后利用加权残量方法(weighted residual method),得到上述基本方程和边界条件的弱形式,该弱形式的基本变量为位移和应力。运用Galerkin有限元方法的思想及上述弱形式,最后得到了一个一维杂交有限元方法,该一维杂交有限元方法只需对扇形区域在角度方向上离散,其总体方程为一个二次特征矩阵方程。数值算例表明:该方法可以准确而高效地计算不同材料界面奇异应力场的特征解。 相似文献
15.
J. Donea S. Giuliani A. Philippe 《International journal for numerical methods in engineering》1974,8(2):359-367
This paper describes a method of solving electromagnetic induction problems by means of the finite element technique. A variational equation associated with the differential equation for the vector potential is formulated and solved via the concept of finite elements. Sinusoidal driving currents and linear, isotropic, but inhomogeneous media are assumed. A typical example is included in order to illustrate the suggested solution technique. 相似文献
16.
Seiichi Tasaka Osamu Matsuoka 《International journal for numerical methods in engineering》1982,18(7):1045-1054
A finite element analysis of a class of non-stationary random diffusion problems is considered. By using the one-dimensional heat equation with random initial condition and random external excitation, the statistical numerical formulation is presented. Two typical numerical examples are given for somewhat simplified problems by which the validity of the finite element scheme is discussed. The results obtained by the finite difference scheme are also shown. 相似文献
17.
R.L. Naff 《International journal for numerical methods in engineering》2012,89(7):846-868
A two‐dimensional control volume mixed finite element method is applied to the elliptic equation. Discretization of the computational domain is based in triangular elements. Shape functions and test functions are formulated on the basis of an equilateral reference triangle with unit edges. A pressure support based on the linear interpolation of elemental edge pressures is used in this formulation. Comparisons are made between results from the standard mixed finite element method and this control volume mixed finite element method. Published 2011. This article is a US Government work and is in the public domain in the USA. 相似文献
18.
R. W. Lewis K. Morgan E. D. L. Pugh T. J. Smith 《International journal for numerical methods in engineering》1984,20(3):555-563
This note discusses the numerical solution of the kinematic wave equation under those conditions when the solution contains a discontinuous shock. A finite element solution is described in which shocks are represented by discrete nodal discontinuities. The implementation of the method follows conventional finite element practice over the shockless regions of the solution domain which are coupled by frontal constraints. The basis of the method and examples of its application to the solution of the kinematic wave equation in one and two dimensions are presented. 相似文献
19.
Mustafa M. Aral Ülgen Gülat 《International journal for numerical methods in engineering》1977,11(11):1719-1732
A technique is described for the solution of the wave equation with time dependent boundary conditions. The finite element solution accompanied by the numerical Laplace inversion process seems to be an efficient procedure to treat such problems. The programming involved is straightforward in the sense that numerical Laplace inversion routines can be directly used as a time integration procedure after obtaining standard finite element differential equation solutions in the transformed domain. Some results are presented for one- and two- dimensional applications, such as wave propagation in longitudinal bars and wave propagation in harbours. 相似文献