Search Results - Complex-variable methods applied to problems in applied mechanics

A novel complex variable element-free Galerkin method for two-dimensional large deformation problems by Li, Dongming, Bai, Funong, Cheng, Yumin, Liew, K.M.

“…► A novel complex variable moving least-squares approximation (ICVMLS) is proposed. ► The function used in ICVMLS approximation has an explicit physical meaning…”
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An improved complex variable element-free Galerkin method for two-dimensional large deformation elastoplasticity problems by Li, D.M., Liew, K.M., Cheng, Yumin

“… The ICVEFG method is a novel element free Galerkin (EFG) method based on the improved complex variable moving least-squares (ICVMLS) approximation…”
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Complex variable boundary element-free method for two-dimensional elastodynamic problems by Liew, K.M., Cheng, Yumin

“…We proposed a new direct meshless boundary integral equation technique – the complex variable boundary element-free method (CVBEFM…”
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The complex variable reproducing kernel particle method for bending problems of thin plates on elastic foundations by Chen, L., Cheng, Y. M.

“…In this paper, the complex variable reproducing kernel particle method (CVRKPM) for solving the bending problems of isotropic thin plates on elastic foundations is presented…”
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Sensitivity analysis for problems exhibiting geometric nonlinearities and follower loads using the complex-variable finite element method by Lamy, Hameed S., Avila, David, Aristizabal, Mauricio, Restrepo, David, Millwater, Harry, Montoya, Arturo

“… displacement-dependent forces. The method utilizes the complex-variable finite element method (ZFEM…”
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On tracking arbitrary crack path with complex variable meshless methods by Li, D.M., Liu, Jia-Hui, Nie, Feng-Hua, Featherston, Carol A., Wu, Zhangming

“… The complex variable moving least-squares approximation with a group of simple complex polynomial basis is applied to implement this meshless model, with which the fracture problems…”
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The Improved Interpolating Complex Variable Element-Free Galerkin Method for Two-Dimensional Elastic Problems by Deng, Yajie, Dai, Ying

“…An improved interpolating complex variable element-frees Galerkin (IICVEFG) method for the two-dimensional elastic problems is developed…”
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Analyzing elastoplastic large deformation problems with the complex variable element-free Galerkin method by Li, D. M., Liew, K. M., Cheng, Y. M.

“…Using the complex variable moving least-squares (CVMLS) approximation, a complex variable element-free Galerkin (CVEFG…”
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Complex variable method for equivalence of the elliptical inhomogeneity to Eshelby’s elliptical inclusion under remote loading by Chen, Y. Z.

“… Both problems are solved by using the complex variable method. In the first problem, the solution for stresses in the inhomogeneity depends on the elastic constants on two phases and the remote loading…”
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The complex variable reproducing kernel particle method for the analysis of Kirchhoff plates by Chen, L., Cheng, Y. M., Ma, H. P.

“…In this paper, the complex variable reproducing kernel particle method (CVRKPM) for the bending problem of arbitrary Kirchhoff plates is presented…”
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Consistency, precision, and accuracy assessment of the collocation boundary element method for two-dimensional problems of potential and elasticity by Dumont, Ney Augusto

“…The collocation boundary element method, as developed and taught in the traditional books, suffers from severe inconsistencies, partly responsible…”
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Three-dimensional complex variable element-free Galerkin method by Li, Xiaolin

“…The complex variable element-free Galerkin (CVEFG) method is an efficient meshless Galerkin method that uses the complex variable moving least squares (CVMLS…”
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Pinning impulsive synchronization of complex-variable dynamical network by Wu, Zhaoyan, Liu, Danfeng, Ye, Qingling

“…•A method for choosing the impulsive instants is provided. In this paper, pinning combining with impulsive control scheme is adopted to investigate the synchronization of complex-variable dynamical network…”
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Modified complex variable method for displacement induced by surcharge loads and shallow tunnel excavation by Lin, Luo-bin, Chen, Fu-quan, Li, Da-yong

“… When the complex variable method is applied, such problems turn to non-zero resultant issues and generally result in infinite displacement singularity in geomaterial at infinity, which violates…”
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A Complex Variable Solution for Rectangle Pipe Jacking in Elastic Half-Plane by Li, Xin-yuan, Liu, Guo-bin

“…In mechanics, the solution of soil stresses and displacements field caused by shallow rectangular jacking pipe construction can be simplified as half-plane problem…”
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Complex variable methods for shape sensitivity of finite element models by Voorhees, Andrew, Millwater, Harry, Bagley, Ronald

“… Complex variable methods for shape sensitivity analysis have some potential advantages over other methods…”
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A pure complex variable enrichment method for modeling progressive fracture of orthotropic functionally gradient materials by Pan, Jin-Hu, Li, D.M., Cai, Shuo, Luo, Xu-Bao

“…•Two types of pure complex variable enrichment are developed.•The pure complex variable element-free Galerkin method using a novel enrichment function requires fewer degrees of freedom and CPU time…”
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A matrix-form complex variable method for multiple non-circular tunnels in layered media by Ye, Zi Kun, Ai, Zhi Yong

“… This paper presents a matrix-form complex variable method that can predict the stress and displacement field around multiple tunnels in layered media…”
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Torsion problem for a bar composed of confocally elliptical dissimilar layers by Chen, Y. Z.

“… Complex variable method is used to study the problem. The continuity conditions for the warping function and the normal shear stress along the interfaces are suggested…”
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A coated elliptical compressible liquid inclusion by Wang, Xu, Schiavone, Peter

“…We study the plane strain problem of a three-phase composite consisting of an internal elliptical compressible liquid inclusion, an intermediate isotropic elastic coating and an outer unbounded…”
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