Výsledky vyhľadávania - complex-variable methods applied to problems in ((solid mechanics) OR (applied mechanics))
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A novel complex variable element-free Galerkin method for two-dimensional large deformation problems
ISSN: 0045-7825, 1879-2138Vydavateľské údaje: Kidlington Elsevier B.V 01.08.2012Vydané v Computer methods in applied mechanics and engineering (01.08.2012)“…► 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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Complex variable boundary element-free method for two-dimensional elastodynamic problems
ISSN: 0045-7825, 1879-2138Vydavateľské údaje: Kidlington Elsevier B.V 01.11.2009Vydané v Computer methods in applied mechanics and engineering (01.11.2009)“…We proposed a new direct meshless boundary integral equation technique – the complex variable boundary element-free method (CVBEFM…”
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Complex variable step method for sensitivity analysis of effective properties in multi-field micromechanics
ISSN: 0001-5970, 1619-6937Vydavateľské údaje: Vienna Springer Vienna 01.01.2016Vydané v Acta mechanica (01.01.2016)“… The approach is based on the application of the complex variable step method for the micromechanical Mori–Tanaka scheme…”
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Numerically generated tangent stiffness matrices using the complex variable derivative method for nonlinear structural analysis
ISSN: 0045-7825Vydavateľské údaje: Kidlington Elsevier 01.01.2011Vydané v Computer methods in applied mechanics and engineering (01.01.2011)“… 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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On tracking arbitrary crack path with complex variable meshless methods
ISSN: 0045-7825, 1879-2138Vydavateľské údaje: Amsterdam Elsevier B.V 01.09.2022Vydané v Computer methods in applied mechanics and engineering (01.09.2022)“…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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Degenerate scales for thin elastic plates with Dirichlet boundary conditions
ISSN: 0001-5970, 1619-6937Vydavateľské údaje: Vienna Springer Vienna 01.04.2023Vydané v Acta mechanica (01.04.2023)“…A degenerate scale occurs when a loss of uniqueness of the solution of the boundary integral equations happens for that scale of the problem…”
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Numerical solution of elastic inclusion problem using complex variable boundary integral equation
ISSN: 0001-5970, 1619-6937Vydavateľské údaje: Vienna Springer Vienna 01.04.2012Vydané v Acta mechanica (01.04.2012)“…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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Analysis of the dynamic stress response of SH wave propagation in functional gradient materials
ISSN: 0001-5970, 1619-6937Vydavateľské údaje: Vienna Springer Vienna 01.05.2025Vydané v Acta mechanica (01.05.2025)“…In this paper, the analytical solution of the SH wave propagation problems in shear modulus and density continuous nonhomogeneous medium is given based on the complex variable function method…”
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A numerical algorithm to solve multivariate transcendental equation sets in complex domain and its application in wave dispersion curve characterization
ISSN: 0001-5970, 1619-6937Vydavateľské údaje: Vienna Springer Vienna 05.04.2019Vydané v Acta mechanica (05.04.2019)“… The complex variable concerned in this method is treated as two independent variables in real domain that represent the real part and the imaginary part of the variable, respectively…”
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A novel hybrid technique to decompose in-plane thermoelastic displacement fields into thermal and structural displacement fields
ISSN: 0001-5970, 1619-6937Vydavateľské údaje: Vienna Springer Vienna 01.09.2022Vydané v Acta mechanica (01.09.2022)“…—coupling a low-fidelity FEM and an analytical technique formulated using complex variables…”
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Analytical results describing plane thermoelastic fields and effective thermal expansion under the assumption of temperature dependency: Analytical results describing plane thermoelastic fields
ISSN: 0001-5970, 1619-6937Vydavateľské údaje: Vienna Springer Vienna 01.01.2025Vydané v Acta mechanica (01.01.2025)“…We apply complex variable methods to develop analytical solutions of the inhomogeneity problem in which an inhomogeneity is embedded in an infinite matrix subjected to remote uniform thermal loads…”
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Effective magneto-electro-elastic moduli for multiferroic nanofibrous composites with imperfect interface: Effective magneto-electro-elastic moduli for multiferroic
ISSN: 0001-5970, 1619-6937Vydavateľské údaje: Vienna Springer Vienna 01.01.2025Vydané v Acta mechanica (01.01.2025)“… On this basis, the analytical solutions of the effective MEE moduli of the multiferroic nanocomposites are obtained by using a generalized self-consistent method combined with the complex variable method…”
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A coated elliptical compressible liquid inclusion
ISSN: 0939-1533, 1432-0681Vydavateľské údaje: Berlin/Heidelberg Springer Berlin Heidelberg 01.04.2025Vydané v Archive of applied mechanics (1991) (01.04.2025)“…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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Electric-current-induced thermal stress around a non-circular rigid inclusion in a two-dimensional nonlinear thermoelectric material
ISSN: 0001-5970, 1619-6937Vydavateľské údaje: Vienna Springer Vienna 01.11.2020Vydané v Acta mechanica (01.11.2020)“…The plane problem of a non-circular rigid inhomogeneity embedded in an infinite thermoelectric matrix under a uniform remote electric current is investigated based on the complex variable method…”
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The complex variable reproducing kernel particle method for bending problems of thin plates on elastic foundations
ISSN: 0178-7675, 1432-0924Vydavateľské údaje: Berlin/Heidelberg Springer Berlin Heidelberg 01.07.2018Vydané v Computational mechanics (01.07.2018)“…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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Analysis of an orthotropic elastic plane problem of a half plane with an edge crack using a mapping function
ISSN: 0001-5970, 1619-6937Vydavateľské údaje: Vienna Springer Vienna 01.08.2019Vydané v Acta mechanica (01.08.2019)“… The complex variable method is employed to introduce a mapping function. Then, comparatively arbitrary configurations can be analyzed…”
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An alternative numerical scheme for calculating the thermal stresses around an inclusion of arbitrary shape in an elastic plane under uniform remote in-plane heat flux
ISSN: 0001-5970, 1619-6937Vydavateľské údaje: Vienna Springer Vienna 01.07.2019Vydané v Acta mechanica (01.07.2019)“…Based on the complex variable method, the decoupled thermoelastic problem of an infinite matrix containing an arbitrarily shaped inclusion subjected to plane deformations and uniform remote heat flux…”
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3D elasticity solutions for stress field analysis of FGM circular plates subject to concentrated edge forces and couples
ISSN: 0001-5970, 1619-6937Vydavateľské údaje: Vienna Springer Vienna 01.08.2019Vydané v Acta mechanica (01.08.2019)“…In this paper, the complex variable method is applied to study three-dimensional problems of transversely isotropic functionally graded circular plates subjected to concentrated edge forces and couples…”
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Reduction of the stress concentration around an elliptic hole by using a functionally graded layer
ISSN: 0001-5970, 1619-6937Vydavateľské údaje: Vienna Springer Vienna 01.09.2016Vydané v Acta mechanica (01.09.2016)“…The aim of this paper is to study the problem of stress concentration in an infinite plate with an elliptic hole reinforced by a functionally graded layer based on the complex variable method combined…”
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Electrically permeable and thermally insulated collinear cracks in thermoelectric materials
ISSN: 0001-5970, 1619-6937Vydavateľské údaje: Vienna Springer Vienna 01.04.2019Vydané v Acta mechanica (01.04.2019)“…–electric loads based on the complex variable method. First, the general solutions for potential functions of thermoelectric fields and stress fields are derived by using the electrically permeable and thermally insulated crack model…”
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