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

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

“…This study presents a numerical modelling framework based on complex variable meshless methods, which can accurately and efficiently track arbitrary crack paths in two-dimensional linear elastic solids…”
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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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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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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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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 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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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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Complex variable moving least-squares method: a meshless approximation technique by Liew, K. M., Feng, Cong, Cheng, Yumin, Kitipornchai, S.

“…—the complex variable moving least‐squares (CVMLS) approximation. With the CVMLS approximation, the trial function of a two…”
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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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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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Complex variable step method for sensitivity analysis of effective properties in multi-field micromechanics by Dziatkiewicz, Grzegorz

“… The approach is based on the application of the complex variable step method for the micromechanical Mori–Tanaka scheme…”
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Coupling of Complex Function Theory and Finite Element Method for Crack Propagation Through Energetic Formulation: Conformal Mapping Approach and Reduction to a Riemann–Hilbert Problem by Legatiuk, Dmitrii, Weisz-Patrault, Daniel

“…In this paper we present a theoretical background for a coupled analytical–numerical approach to model a crack propagation process in two-dimensional bounded…”
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Green’s functions for an anisotropic elastic matrix containing an elliptical incompressible liquid inclusion by Wang, Xu, Schiavone, Peter

“…We use the Stroh sextic formalism for anisotropic elasticity and Muskhelishvili’s complex variable formulation for isotropic elasticity to derive a full-field…”
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Numerically generated tangent stiffness matrices using the complex variable derivative method for nonlinear structural analysis by Kim, Sanghaun, Ryu, Junghyun, Cho, Maenghyo

“… This paper presents a numerical procedure for generating accurate tangent stiffness matrices from the derivative approximation of internal force using the complex variable derivative method (CVDM…”
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Study on the design sensitivity analysis based on complex variable in eigenvalue problem by Kim, Hyungi, Cho, Maenghyo

“… This paper employs a complex variable which is not much influenced by the perturbation size…”
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In-plane stress analysis of two nanoscale holes under surface tension by Wang, Shuang, Yang, Hai-Bing, Gao, Cunfa, Chen, Zengtao

“… The complex variable method is adopted to describe the assumed plane-strain deformation of the structure…”
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Numerical solution of elastic inclusion problem using complex variable boundary integral equation by Chen, Y. Z.

“…Based on a complex variable boundary integral equation (CVBIE) suggested previously, this paper provides a numerical solution for the elastic inclusion problem using CVBIE…”
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Integral-Type Stress Boundary Condition in the Complete Gurtin-Murdoch Surface Model with Accompanying Complex Variable Representation by Dai, Ming, Wang, Yong-Jian, Schiavone, Peter

“… Since the mechanical behavior of such composite systems is often analyzed using complex variable methods, we formulate our ideas accordingly, in this context…”
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Complex variable boundary integral method for linear viscoelasticity Part II-application to problems involving circular boundaries by YUN HUANG, MOGILEVSKAYA, Sofia G, CROUCH, Steven L

“… Complex variable boundary integral method for linear viscoelasticity. Part I - basic formulations…”
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Meshless acoustic analysis using a weakly singular Burton-Miller boundary integral formulation by Chen, Linchong, Li, Xiaolin

“…The Burton-Miller boundary integral formulation is solved by a complex variable boundary element-free method (CVBEFM…”
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