Výsledky vyhledávání - Complex-variable methods applied to problems in applied mechanics*

The Velocity Field and Birkhoff–Rott Integral for Nondecaying, Nonperiodic Vortex Sheets: The velocity field and Birkhoff-Rott integral for nondecaying, nonperiodic vortex sheets

Autoři: David M. Ambrose

Zdroj: SIAM Journal on Applied Mathematics. 85:456-476

Témata: quasiperiodic solution, Water waves, gravity waves, dispersion and scattering, nonlinear interaction, Mathematics - Analysis of PDEs, Existence, uniqueness, and regularity theory for incompressible inviscid fluids, 76B55, 76B07, 42A50, Physics - Fluid Dynamics, Vortex flows for incompressible inviscid fluids, Complex variables methods applied to problems in fluid mechanics, Euler equations, singular velocity integral, uniform convergence

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/abs/2401.06055
https://zbmath.org/8009633
https://doi.org/10.1137/24m164848x

Exact and Approximate Solutions for Elastic Interactions in a Nematic Liquid Crystal: Exact and approximate solutions for elastic interactions in a nematic liquid crystal

Autoři: Thomas G. J. Chandler Saverio E. Spagnolie

Zdroj: SIAM Journal on Applied Mathematics. 84:2476-2501

Témata: multiply connected domain, global stored elastic energy minimization, conformal mapping, Liquid crystals, Fluid Dynamics (physics.flu-dyn), immersed body, Soft Condensed Matter (cond-mat.soft), FOS: Physical sciences, Physics - Fluid Dynamics, Condensed Matter - Soft Condensed Matter, Complex variables methods applied to problems in fluid mechanics, topological defect, complex director field

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/abs/2311.17708

Internal uniform hydrostatic stress field within a double, triple or quadruple coated elastic inhomogeneity possessing an (n + 1)-fold axis of rotational symmetry: Internal uniform hydrostatic stress field within a double, triple or quadruple coated elastic inhomogeneity possessing an \((n + 1)\)-fold axis of rotational symmetry

Autoři: Wang, Xu Schiavone, Peter

Zdroj: Zeitschrift für angewandte Mathematik und Physik. 76

Témata: Inverse problems in equilibrium solid mechanics, Mathematical modeling or simulation for problems pertaining to mechanics of deformable solids, Classical linear elasticity, Inhomogeneity in solid mechanics, Micromechanics of solids, Boundary value problems in the complex plane, elastic inhomogeneity, quadruple coating, Complex-variable methods applied to problems in solid mechanics, uniform hydrostatic stress, PDEs in connection with mechanics of deformable solids, triple coating, double coating

Popis souboru: application/xml

Thermal-elastic field around an elliptical nano-inclusion with interface conduction and interface stress effects

Autoři: Qianqian Zhang Ruifeng Zhang Hongyuan Li a další

Zdroj: Acta Mechanica. 234:6395-6406

Témata: Gurtin-Murdoch interface model, Thermal effects in solid mechanics, conformal mapping, Classical linear elasticity, Inhomogeneity in solid mechanics, Micromechanics of solids, series expansion method, plane deformation, residual interface tension, Complex-variable methods applied to problems in solid mechanics, infinite matrix, complex variable method

Popis souboru: application/xml

Inclusions with Uniform Stress in a Bounded Elastic Domain: Inclusions with uniform stress in a bounded elastic domain

Autoři: Dai, Ming

Zdroj: Journal of Elasticity. 154:645-657

Témata: anti-plane shear deformation, Classical linear elasticity, Inhomogeneity in solid mechanics, uniform eigenstrain, infinite complex series, Eshelby conjecture, Complex-variable methods applied to problems in solid mechanics, finite matrix

Popis souboru: application/xml

HYDRODYNAMIC LOADS DURING ACCELERATION OF A CYLINDER UNDER A FREE SURFACE: Hydrodynamic loads during acceleration of a cylinder under a free surface

Autoři: Golikov, A. E. Makarenko, N. I.

Zdroj: Journal of Applied Mechanics and Technical Physics. 63:806-815

Témata: integro-differential equation, 0203 mechanical engineering, Asymptotic methods, singular perturbations applied to problems in fluid mechanics, 0103 physical sciences, Jets and cavities, cavitation, free-streamline theory, water-entry problems, airfoil and hydrofoil theory, sloshing, small-time asymptotic solution, 02 engineering and technology, complex fluid velocity, Complex variables methods applied to problems in fluid mechanics, Euler equations, 01 natural sciences

Popis souboru: application/xml

Starting vortices generated by an arbitrary solid body with any number of edges

Autoři: Edward M. Hinton A. Leonard D.I. Pullin a další

Zdroj: Journal of Fluid Mechanics. 987

Témata: semi-infinite flat plate, leading/trailing edge vortex, Joukowski aerofoil, Birkhoff-Rott equation, 0103 physical sciences, Jets and cavities, cavitation, free-streamline theory, water-entry problems, airfoil and hydrofoil theory, sloshing, vortex shedding, Vortex flows for incompressible inviscid fluids, Complex variables methods applied to problems in fluid mechanics, 01 natural sciences, vortex sheet evolution

Popis souboru: application/xml

Modulation of heat flux and thermal stress at the double interface by nano-coating thickness

Autoři: Huang, Haojie Song, Kun

Zdroj: Zeitschrift für angewandte Mathematik und Physik. 75

Témata: Thermal effects in solid mechanics, Inhomogeneity in solid mechanics, interfacial elasticity, maximum interfacial thermal stress, thermal expansion coefficient, closed-form solution, Complex-variable methods applied to problems in solid mechanics, Explicit solutions of equilibrium problems in solid mechanics, complex variable method

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/7793882
https://doi.org/10.1007/s00033-023-02166-8

On vortex-sheet evolution beyond singularity formation

Autoři: D.I. Pullin N. Shen

Zdroj: Journal of Fluid Mechanics. 976

Témata: perturbed vortex sheet dynamics, analytic continuation, Birkhoff-Rott equation, Asymptotic methods, singular perturbations applied to problems in fluid mechanics, 0103 physical sciences, Taylor series, Vortex flows for incompressible inviscid fluids, 0101 mathematics, Complex variables methods applied to problems in fluid mechanics, polylogarithmic function, 01 natural sciences, asymptotic singular solution

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/7775000
https://doi.org/10.1017/jfm.2023.880

Interaction of two collinear interface cracks with different electrical conditions at their faces in a one-dimensional piezoelectric quasicrystal

Autoři: Volodymyr Loboda Alla Sheveleva Oleksandr Komarov a další

Zdroj: Acta Mechanica. 233:2719-2735

Témata: sectionally-holomorphic function, electric intensity factor, 02 engineering and technology, Hilbert problem, shear phonon stress, shear phason stress, 0203 mechanical engineering, Brittle fracture, Electromagnetic effects in solid mechanics, ddc:690, Buildings, Complex-variable methods applied to problems in solid mechanics, Crystalline structure, 0210 nano-technology, Dirichlet-Riemann boundary value problem

Popis souboru: application/xml

Complex variable boundary element methods for the solution of potential problems in simply and multiply connected domains

Autoři: Mechanical Engineering Department, University of Florida, Gainesville, FL 32611, USA ( host institution ) Hsieh, C.K. ( author ) Kassab, Alain J. ( author )

Zdroj: Computer Methods in Applied Mechanics and Engineering. 86:189-213

Témata: 0203 mechanical engineering, 02 engineering and technology, 0101 mathematics, Other numerical methods in solid mechanics, 01 natural sciences, Boundary element methods applied to problems in solid mechanics

Popis souboru: application/xml; [Elsevier APIv3]

Přístupová URL adresa: https://www.sciencedirect.com/science/article/abs/pii/004578259190127R
https://ui.adsabs.harvard.edu/abs/1991CMAME..86..189H/abstract

Modeling of hydrodynamic dispersion and two-phase flow in the complex variable boundary element method: Modeling of hydrodynamic dispersion and two-phase flow in the complex variable boundary element method.

Autoři: Kozo Sato

Zdroj: Computer Methods in Applied Mechanics and Engineering. 192:4425-4438

Témata: Three or more component flows, Complex variable, Boundary element methods applied to problems in fluid mechanics, Multi-phase flow, 0207 environmental engineering, Boundary element method, 02 engineering and technology, Dispersion, 0204 chemical engineering, Complex variables methods applied to problems in fluid mechanics

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/2031338
https://doi.org/10.1016/s0045-7825(03)00423-7
http://ui.adsabs.harvard.edu/abs/2003CMAME.192.4425S/abstract
https://www.sciencedirect.com/science/article/abs/pii/S0045782503004237

Elastoplastic analysis of two-dimensional problems with hole by boundary element method using complex variables

Autoři: R Kitching S. Tang

Zdroj: International Journal of Mechanical Sciences. 35:577-586

Témata: singular solution behaviour, 0203 mechanical engineering, yield region, 02 engineering and technology, 0101 mathematics, Other numerical methods in solid mechanics, Plates, fundamental solutions, 01 natural sciences, Boundary element methods applied to problems in solid mechanics

Popis souboru: application/xml

Přístupová URL adresa: https://www.sciencedirect.com/science/article/pii/002074039390002C

Complex variable boundary element method for potential flow with thin objects: Complex variable boundary element method for potential flow with thin objects.

Autoři: Kozo Sato

Zdroj: Computer Methods in Applied Mechanics and Engineering. 192:1421-1433

Témata: Boundary element methods applied to problems in fluid mechanics, conformal mapping technique, 0211 other engineering and technologies, Jets and cavities, cavitation, free-streamline theory, water-entry problems, airfoil and hydrofoil theory, sloshing, singular solution, flow barriers, 02 engineering and technology, 0101 mathematics, Complex variables methods applied to problems in fluid mechanics, high-conductivity fracture, 01 natural sciences

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/1972188
https://doi.org/10.1016/s0045-7825(02)00647-3
https://ui.adsabs.harvard.edu/abs/2003CMAME.192.1421S/abstract
https://www.sciencedirect.com/science/article/abs/pii/S0045782502006473

The complex variable boundary element method for solving sandwich plate problems

Autoři: Gu Lei Huang Maokuang

Zdroj: Acta Mechanica Sinica. 6:50-58

Témata: density function, 0203 mechanical engineering, 0211 other engineering and technologies, Helmholtz equation, 02 engineering and technology, Composite and mixture properties, Plates, Other numerical methods in solid mechanics, Boundary element methods applied to problems in solid mechanics, analytic function, bounded simply connected regions, Vekua's complex integral representation

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/92353
https://doi.org/10.1007/bf02488458
http://ui.adsabs.harvard.edu/abs/1990AcMSn...6...50G/abstract
https://link.springer.com/article/10.1007/BF02488458

Fluid boundary element method and orthogonal transform of double complex variables

Autoři: Luo Yi-ying

Zdroj: Applied Mathematics and Mechanics. 24:109-116

Témata: Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.), orthogonal double complex variable, boundary element method of fluid, Boundary element methods applied to problems in fluid mechanics, 0103 physical sciences, Conformal mappings of special domains, space of double complex variables, space conformal transform, Complex variables methods applied to problems in fluid mechanics, 01 natural sciences, Covering theorems in conformal mapping theory

Popis souboru: application/xml

Přístupová URL adresa: https://www.airitilibrary.com/Publication/alDetailedMesh?DocID=02534827-200301-24-1-109-116-a
http://www.amm.shu.edu.cn/CN/article/downloadArticleFile.do?attachType=PDF&id=12713
https://www.society.shu.edu.cn/CN/abstract/abstract12713.shtml
https://link.springer.com/article/10.1007%2FBF02439384

Analytical Solutions of the Equation Describing Internal Gravity Waves Generated by a Moving Nonlocal Source of Perturbations: Analytical solutions of the equation describing internal gravity waves generated by a moving nonlocal source of perturbations

Autoři: Yu. V. Vladimirov Vitaly V. Bulatov

Zdroj: Computational Mathematics and Mathematical Physics. 61:556-563

Témata: Stratification effects in inviscid fluids, Mittag-Leffler theorem, Internal waves for incompressible inviscid fluids, series solution, wave mode, 0103 physical sciences, meromorphic function, Complex variables methods applied to problems in fluid mechanics, 01 natural sciences, stratified medium, 0105 earth and related environmental sciences

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/7355591
https://doi.org/10.1134/s0965542521040035
https://link.springer.com/article/10.1134/S0965542521040035

A computational method for solving the branched channel flow problem

Autoři: I. A. Ismail Galal Ismail A. M. Sedqi

Zdroj: Applied Mathematics and Computation. 161:19-34

Témata: Poisson's equation, Spectral methods applied to problems in fluid mechanics, spectral solution, Navier-Stokes equations for incompressible viscous fluids, 0103 physical sciences, Schwarz-Christoffel transformation, Complex variables methods applied to problems in fluid mechanics, 01 natural sciences

Popis souboru: application/xml

Přístupová URL adresa: http://www.sciencedirect.com/science/article/pii/S0096300303012050
https://dblp.uni-trier.de/db/journals/amc/amc161.html#IsmailIS05
https://www.sciencedirect.com/science/article/pii/S0096300303012050
http://dblp.uni-trier.de/db/journals/amc/amc161.html#IsmailIS05

Dual boundary element analysis using complex variables for potential problems with or without a degenerate boundary

Autoři: Yung-Wei Chen Jeng-Tzong Chen

Zdroj: Engineering Analysis with Boundary Elements. 24:671-684

Témata: sheet pile, cracked bar, boundary value problems, torsion, Cauchy integral formula, 02 engineering and technology, 01 natural sciences, degenerate boundary, complex variable dual boundary integral equations, potential flow, 0203 mechanical engineering, Classical linear elasticity, Boundary element methods applied to problems in fluid mechanics, Hadamard integral formula, 0101 mathematics, Complex variables methods applied to problems in fluid mechanics, Boundary element methods applied to problems in solid mechanics

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/1556272
https://doi.org/10.1016/s0955-7997(00)00025-4
https://www.sciencedirect.com/science/article/pii/S0955799700000254
https://msvlab.hre.ntou.edu.tw/paper/eabe/eabe-07.pdf
http://www.sciencedirect.com/science/article/pii/S0955799700000254

The non-unique existence of Rayleigh waves in nonlocal elastic half-spaces

Autoři: Pham Chi Vinh Vu Thi Ngoc Anh Hai Q. Dinh

Zdroj: Zeitschrift für angewandte Mathematik und Physik. 74

Témata: Elastic materials, Rayleigh wave velocity, Existence of solutions of dynamical problems in solid mechanics, nonlocality effect, Bulk waves in solid mechanics, Complex-variable methods applied to problems in solid mechanics, PDEs in connection with mechanics of deformable solids, complex function method

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/7707329
https://doi.org/10.1007/s00033-023-02007-8