Keyword

complex variable method

Description: An analytical technique using complex-variable functions to solve problems in applied mathematics and engineering, including elasticity and stress analysis.

Primary topic: Elasticity and Wave Propagation (32%)

OpenAlex ID: keywords/complex-variable-method

On cracks in rectilinearly anisotropic bodies

1965 · G. C. Sih, P. C. Paris, et al. · International Journal of Fracture · 1,360

Plane Problems of Cracks in Dissimilar Media

1965 · J. R. Rice, G. C. Sih · Journal of Applied Mechanics · 1,226

Water Waves: The Mathematical Theory with Applications

1957 · J. J. Stoker · CERN Document Server (European Organization for Nuclear Research) · 1,040

Anisotropic elasticity with applications to dislocation theory

1953 · J.D. Eshelby, W.T. Read, et al. · Acta Metallurgica · 812

Conservation Laws and Energy-Release Rates

1973 · B. Budiansky, J. R. Rice · Journal of Applied Mechanics · 719

Low-speed aerodynamics : from wing theory to panel methods

1991 · Joseph Katz, Allen Plotkin · McGraw-Hill eBooks · 593

Some basic problems of the mathematical theory of elasticity : fundamental equations, plane theory of elasticity, torsion, and bending

1963 · N. I. Muskhelishvili · CERN Document Server (European Organization for Nuclear Research) · 466

Complex Variable Methods in Elasticity

1972 · A. H. England, G. C. Sih · Journal of Applied Mechanics · 463

Analytic Solution of the Percus-Yevick Equation

1964 · M. S. Wertheim · Journal of Mathematical Physics · 445

Crack-Tip, Stress-Intensity Factors for Plane Extension and Plate Bending Problems

1962 · G. C. Sih, P. C. Paris, et al. · Journal of Applied Mechanics · 443

A hybrid‐element approach to crack problems in plane elasticity

1973 · Pin Tong, T. H. H. Pian, et al. · International Journal for Numerical Methods in Engineering · 403

Theory of Thermoelasticity With Applications

1980 · J. L. Nowinski, B. Boley · Journal of Applied Mechanics · 340

A Complex Variable Solution for a Deforming Circular Tunnel in an Elastic Half-plane

1997 · A. Verruijt · International Journal for Numerical and Analytical Methods in Geomechanics · 308

Multiple interacting circular nano-inhomogeneities with surface/interface effects

2008 · Sofia G. Mogilevskaya, Steven L. Crouch, et al. · Journal of the Mechanics and Physics of Solids · 279

Finite element analysis of stress intensity factors for cracks at a bi-material interface

1976 · K. Y. Lin, J. W. Mar · International Journal of Fracture · 229

Linearized Theory of Elasticity

2017 · Advanced series in engineering science · 224

A crack along the interface of a circular inclusion embedded in an infinite solid

1974 · M. Toya · Journal of the Mechanics and Physics of Solids · 218

Deformations of an elastic half plane with a circular cavity

1998 · A. Verruijt · International Journal of Solids and Structures · 215

Nonlinear Elasticity

1956 · T.C. Doyle, J.L. Ericksen · Advances in applied mechanics · 199

A BEM analysis of fracture mechanics in 2D anisotropic piezoelectric solids

1999 · Ernian Pan · Engineering Analysis with Boundary Elements · 193

Elastic field of an isotropic matrix with a nanoscale elliptical inhomogeneity

2007 · L. Tian, R.K.N.D. Rajapakse · International Journal of Solids and Structures · 192

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Complex variable methods in Hele–Shaw moving boundary problems

1992 · S. D. Howison · European Journal of Applied Mathematics · 192

Rectangular Tensile Sheet With Symmetric Edge Cracks

1964 · O. L. Bowie · Journal of Applied Mechanics · 190

General theory of small elastic deformations superposed on finite elastic deformations

1952 · Albert Edward Green, R. S. Rivlin, et al. · Proceedings of the Royal Society of London A Mathematical and Physical Sciences · 172

Mathematical Methods for Physics

2018 · H. W. Wyld · CRC Press eBooks · 168

Works count: 2,707

Citation count: 36,120