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Application of the Complex Variable Function Method to SH-Wave Scattering Around a Circular Nanoinclusion

open access: yesAdvances in Mathematical Physics, 2019
This paper focuses on analyzing SH-wave scattering around a circular nanoinclusion using the complex variable function method. The surface elasticity theory is employed in the analysis to account for the interface effect at the nanoscale. Considering the
Hongmei Wu
doaj   +2 more sources

DSCostPred: a double-stacking model for construction cost prediction [PDF]

open access: yesScientific Reports
The prediction of construction project cost plays a core role in engineering construction projects. However, the current prediction involves a multi-dimensional and dynamically variable system, and each major category can be further subdivided into many ...
Chen-Ping Liu   +2 more
doaj   +2 more sources

Analytical Solution of the Interference between Elliptical Inclusion and Screw Dislocation in One-Dimensional Hexagonal Piezoelectric Quasicrystal

open access: yesCrystals, 2023
This study examines the interference problem between screw dislocation and elliptical inclusion in one-dimensional hexagonal piezoelectric quasicrystals.
Zhiguo Zhang, Xing Li, Shenghu Ding
doaj   +1 more source

The Griffith Crack and the Interaction between Screw Dislocation and Semi-Infinite Crack in Cubic Quasicrystal Piezoelectric Materials

open access: yesCrystals, 2022
The Griffith crack problem and the interaction between screw dislocation and semi-infinite crack in cubic quasicrystal piezoelectric materials are studied by using the complex variable function method.
Jiandong Pi, Lianhe Li
doaj   +1 more source

Analysis of Elastic–Plastic Problems Using the Improved Interpolating Complex Variable Element Free Galerkin Method

open access: yesMathematics, 2021
A numerical model for the two-dimensional nonlinear elastic–plastic problem is proposed based on the improved interpolating complex variable element free Galerkin (IICVEFG) method and the incremental tangent stiffness matrix method.
Yajie Deng   +3 more
doaj   +1 more source

Mechanical behavior of an FGM-type frozen soil wall: Theory and numerical analysis

open access: yesMathematical Biosciences and Engineering, 2023
With a laminate model foundation, we have used the complex variable function method to calculate the boundary displacement and stress of a frozen soil wall in a horizontal connecting passage. Using an actual engineering case, the effects of the number of
Qinglong Wang   +4 more
doaj   +1 more source

The stresses components in position and time of weakened plate with two holes conformally mapped into a unit circle by a conformal mapping with complex constant coefficients

open access: yesAIMS Mathematics, 2023
In this paper, an infinite elastic plate weakened by two holes are considered and the complex variable method is used to derive a closed form of Gaursat functions for the first and second fundamental problems with variant time. The holes, in all previous
Sharifah E. Alhazmi   +2 more
doaj   +1 more source

Fractional viscoelastic solution of stratum displacement of a shallow tunnel under the surface slope condition

open access: yesUnderground Space, 2023
The unified displacement function (UDF) is presented to describe the deformation behaviours of the tunnel profile along with time under the surface slope condition.
Fanchao Kong   +5 more
doaj   +1 more source

Novel complex N-soliton and lump solutions for nonlocal breaking equation

open access: yesResults in Physics, 2022
The Hirota bilinear method is applied to construct the new dynamics of complex N-soliton solutions for a nonlocal breaking equation. By using the auxiliary traveling wave function, the different-order soliton solutions, bifurcation solutions and lump ...
Shaofu Wang
doaj   +1 more source

Hörmander’s $$L^2$$-Method, $${\overline{\partial }}$$-Problem and Polyanalytic Function Theory in One Complex Variable

open access: yesComplex Analysis and Operator Theory, 2023
AbstractIn this paper we consider the classical $${\overline{\partial }}$$ ∂ ¯ -problem in the case of one complex variable both for analytic and polyanalytic data.
Alpay, Daniel   +4 more
openaire   +3 more sources

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