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A generalized complex variable method for multiple tunnels at great depth considering the interaction between linings and surrounding rock

, 2021
The mechanical analysis of multiple tunnels at great depth is an extremely common problem in practical engineering. Previous studies usually used the Schwarz alternating method to solve the multiple-tunnel problem with an iterative scheme, which resulted
Huangcheng Fang   +3 more
semanticscholar   +1 more source

Thermal stress analysis of orthotropic plate containing a rectangular hole using complex variable method

European Journal of Mechanics - A/Solids, 2019
One of the most important issues in the design of engineering structures is the prevention of structural failure due to the stress caused by geometric discontinuities.
Mohammad Jafari, M. Jafari
semanticscholar   +1 more source

Solving Nonlinear Optimization Problems of Real Functions in Complex Variables by Complex-Valued Iterative Methods

IEEE Transactions on Cybernetics, 2018
Much research has been devoted to complex-variable optimization problems due to their engineering applications. However, the complex-valued optimization method for solving complex-variable optimization problems is still an active research area. This paper proposes two efficient complex-valued optimization methods for solving constrained nonlinear ...
Songchuan Zhang, Youshen Xia
openaire   +2 more sources

Analyzing wave propagation problems with the improved complex variable element-free Galerkin method

Engineering analysis with boundary elements, 2019
Two-dimensional wave propagation problems in this paper are analyzed with improved complex variable element-free Galerkin (ICVEFG) method. Improved complex variable moving least-squares (ICVMLS) approximation is applied to construct the shape function ...
H. Cheng, M. Peng, Yumin Cheng
semanticscholar   +1 more source

The Improved Complex Variable Element-Free Galerkin Method for Bending Problem of Thin Plate on Elastic Foundations

International Journal of Applied Mechanics, 2019
In this paper, the improved complex variable element-free Galerkin (ICVEFG) method is proposed for solving the bending problem of thin plate on elastic foundations.
Binhua Wang, Y. Ma, Yumin Cheng
semanticscholar   +1 more source

Finite-time cluster synchronization in complex-variable networks with fractional-order and nonlinear coupling

Neural Networks, 2020
This paper is primarily concentrated on finite-time cluster synchronization of fractional-order complex-variable networks with nonlinear coupling by utilizing the non-decomposition method.
Shuai Yang   +3 more
semanticscholar   +1 more source

Maximization Methods for Functions of a Complex Variable

Proceedings of the IRE, 1927
The maxima and minima of a function of a real variable are found by equating to zero the derivative of the function. In the case of a function of a complex variable however the derivative is a vector quantity, so that conditions may be imposed upon its direction as well as upon its magnitude.
openaire   +1 more source

The Improved Interpolating Complex Variable Element Free Galerkin Method for Two-Dimensional Potential Problems

, 2019
In this paper, the improved interpolating complex variable moving least squares (IICVMLS) method is applied, in which the complete basis function is introduced and combined with the singular weight function to achieve the orthometric basis function. Then,
Yajie Deng, Xiaoqiao He, Ying Dai
semanticscholar   +1 more source

Application of the complex variable function method in solving the floor heave problem of a coal mine entry

Arabian Journal of Geosciences, 2018
Jing-Hu Yang   +3 more
semanticscholar   +1 more source

Solving applied problems of elasticity theory in geomechanics using the method of argument functions of a complex variable

2022
При вирішенні багатьох задач, пов'язаних з гірничими виробками, управлінням гірничим тиском, системами розробки, конструкціями кріплення, актуальними стають питання міцності та стійкості гірських порід. Виявляються обмеження та прогалини, що підкреслюють потреби у подальших дослідженнях та розробці нових методів вирішення прикладних задач теорії ...
Naizabekov, Abdrakhman   +2 more
openaire   +1 more source

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