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Dynamic Response of Tunnel Structures in Inhomogeneous Medium Under SHWave:Shear Modulus in Quadratic Functional Form

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Acta Mechanica Solida Sinica 2023年第3期36卷 457-468页

作者： zailin yang Jinlai Bian Huanan Xu Yong yang College of Aerospace and Civil Engineering Harbin Engineering UniversityHarbin 150001China School of Resource Engineering Longyan UniversityLongyan 364012China Key Laboratory of Advanced Material of Ship and Mechanics Ministry of Industry and Information TechnologyHarbin Engineering UniversityHarbin 150001China

The task of thiswork is to study the scattering of SHwaves by homogeneous tunnel structures in an unbounded inhomogeneous *** shear modulus is assumed to be a function of coordinates(x,y).Atwo-dimensional scattering model is *** different inhomogeneous parameters,the medium has different properties,expressed as a rigid *** stress concentration phenomenon of the structure is analyzed for material *** on the complex function theory,the expressions of wave field in the tunnel are *** stress concentration phenomenon on the tunnel is discussed with numerical *** distribution of dynamic stress concentration factor on the inner and outer boundaries is analyzed under different influencing ***,it is found that the distribution of dynamic stress concentration factor is significantly affected by the inhomogeneous parameters and reference wave numbers of the medium.

关键词： Inhomogeneous media Shear modulus Complex function theory SH wave Dynamic stress concentration factor(DSCF)

Transient analysis of 1D inhomogeneous media by dynamic inhomogeneous finite element method

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Earthquake Engineering and Engineering Vibration 2013年第4期12卷 569-576页

作者： yang zailin Wang Yao Hei Baoping College of Aerospace and Civil Engineering Harbin Engineering University

The dynamic inhomogeneous finite element method is studied for use in the transient analysis of one dimensional inhomogeneous media. The general formula of the inhomogeneous consistent mass matrix is established based on the shape function. In order to research the advantages of this method, it is compared with the general finite element method. A linear bar element is chosen for the discretization tests of material parameters with two fictitious distributions. And, a numerical example is solved to observe the differences in the results between these two methods. Some characteristics of the dynamic inhomogeneous finite element method that demonstrate its advantages are obtained through comparison with the general finite element method. It is found that the method can be used to solve elastic wave motion problems with a large element scale and a large number of iteration steps.

关键词： inhomogeneous media elastic wave transient analysis dynamic inhomogeneous finite element method discretization

Scattering by circular cavity in radially inhomogeneous medium with wave velocity variation

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Applied Mathematics and Mechanics(English Edition) 2015年第5期36卷 599-608页

作者： zailin yang Baoping HEI Yao WANG College of Aerospace and Civil Engineering Harbin Engineering University

Based on the theory of complex function and the principle of homogenization, harmonic dynamics stress of a radially infinite inhomogeneous medium with a circular cavity is investigated. Due to the symmetry, wave velocity is assumed to have power-law variation in the radial direction only, and the shear modulus is constant. The Helmholtz equation with a variable coefficient is equivalently transformed into a standard Helmholtz equation with a general conformal transformation method（GCTM）. The displacements and stress fields are proposed. Numerical results show that the wave number and the inhomogeneity parameter of the medium have significant effects on the dynamic stress concentration around the circular cavity. The dynamic stress concentration factor（DSCF） becomes singular when the inhomogeneity parameter of medium is close to zero.

关键词： inhomogeneous circular Helmholtz symmetry homogenization infinite conformal transformed singular anisotropic

Scattering of SH waves by a scalene triangular hill with a shallow cavity in half-space

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Earthquake Engineering and Engineering Vibration 2022年第4期21卷 877-897页

作者： Sun Yingchao yang zailin yang Yong Wang Guangyi College of Aerospace and Civil Engineering Harbin Engineering UniversityHarbin 150001China AVIC-HONGDU Nanchang 330024China Key Laboratory of Advanced Material of Ship and Mechanics Ministry of Industry and Information TechnologyHarbin Engineering UniversityHarbin 150001China Engineering Research Institute of Appraisal and Strengthening Shandong Jianzhu UniversityJinan 250101China Jiangxi Technology Innovation Center of Advanced Aviation Structure and System Integration Nanchang 330024China

In this study,a theoretical approach is used to investigate the scattering problem of circular holes under a scalene triangle on the *** wave displacement function is obtained by solving the Helmholtz equation that meets the zero-stress boundary conditions by adopting the method of separation of *** on the complex function,multi-polar coordinate method,and region-matching technique,algebraic equations are established at auxiliary boundaries and free boundaries conditions in a complex *** auxiliary circle is used to solve the singularity of the reflex angle at the triangle ***,according to sample statistics,the least squares method is used instead of the Fourier expansion method to solve the undetermined coefficient of the algebraic equations by discrete *** results show that the continuity of the auxiliary boundaries and the accuracy of the zero-stress boundaries are adequate,and the displacement of the free surface and the stress of the circular hole are related to the shape of the triangle,the position of the circular hole,the direction of the incident wave,and the frequency content of the ***,time-domain responses are calculated by FFT based on the frequency domain theory,and the results reveal the wave propagation mechanism in a complicated structure.

关键词： earthquake ground motions theoretical seismology wave scattering and diffraction wave propagation

Theory and application of equivalent transformation relationships between plane wave and spherical wave

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Earthquake Engineering and Engineering Vibration 2017年第4期16卷 773-782页

作者： Wang Yao yang zailin Zhang Jianwei yang Yong College of Aerospace and Civil Engineering Harbin Engineering UniversityHarbin 150001China

Based on the governing equations and the equivalent models, we propose an equivalent transformation relationships between a plane wave in a one-dimensional medium and a spherical wave in globular geometry with radially inhomogeneous properties. These equivalent relationships can help us to obtain the analytical solutions of the elastodynamic issues in an inhomogeneous medium. The physical essence of the presented equivalent transformations is the equivalent relationships between the geometry and the material properties. It indicates that the spherical wave problem in globular geometry can be transformed into the plane wave problem in the bar with variable property fields, and its inverse transformation is valid as well. Four different examples of wave motion problems in the inhomogeneous media are solved based on the presented equivalent relationships. We obtain two basic analytical solution forms in Examples I and II, investigate the reflection behavior of inhomogeneous half-space in Example III, and exhibit a special inhomogeneity in Example IV, which can keep the traveling spherical wave in constant amplitude. This study implies that our idea makes solving the associated problem easier.

关键词： elastodynamic issue equivalent transformation relationship governing equation inhomogeneous medium

Scattering of shear waves by an elliptical cavity in a radially inhomogeneous isotropic medium

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Earthquake Engineering and Engineering Vibration 2016年第1期15卷 145-151页

作者： Hei Baoping yang zailin Chen Zhigang College of Aerospace and Civil Engineering Harbin Engineering University Department of Mechanics and Civil Engineering Jinan University

Complex function and general conformal mapping methods are used to investigate the scattering of elastic shear waves by an elliptical cylindrical cavity in a radially inhomogeneous medium. The conformal mappings are introduced to solve scattering by an arbitrary cavity for the Helmholtz equation with variable coefficient through the transformed standard Helmholtz equation with a circular cavity. The medium density depends on the distance from the origin with a power-law variation and the shear elastic modulus is constant. The complex-value displacements and stresses of the *** medium are explicitly obtained and the distributions of the dynamic stress for the case of an elliptical cavity are discussed. The accuracy of the present approach is verified by comparing the present solution results with the available published data. Numerical results demonstrate that the wave number, inhomogeneous parameters and different values of aspect ratio have significant influence on the dynamic stress concentration factors around the elliptical cavity.

关键词： radially inhomogeneous medium Helmholtz equation with variable coefficient power-law variation elliptical cavity dynamic stress concentration factor

Antiplane response of two scalene triangular hills and a semi-cylindrical canyon by incident SH-waves

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Earthquake Engineering and Engineering Vibration 2014年第4期13卷 569-581页

作者： yang zailin Xu Huanan Hei Baoping Zhang Jianwei College of Aerospace and Civil Engineering Harbin Engineering University School of Resource Engineering Longyan University

Antiplane response of two scalene triangular hills and a semi-cylindrical canyon by SH-waves is studied using wave function expansion and complex function method. Firstly, the analytical model is divided into three parts, and the displacement solutions of wave fields are constructed based on boundary conditions in the three regions. Three domains are then conjoined to satisfy the ＂conjunction＂ condition at shared boundary. In addition, combined with the zero-stress condition of semi-cylindrical canyon, a series of infinite algebraic equations for the problem are derived. Finally, numerical examples are provided and the influence of different parameters on ground motion is discussed.

关键词： scattering of SH-waves scalene triangle hills semi-cylindrical canyon ground motion

SCATTERING FAR FIELD SOLUTION OF SH-WAVE BY MOVABLE RIGID CYLINDRICAL INTERFACE INCLUSION

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Acta Mechanica Solida Sinica 2002年第3期15卷 214-226页

作者： yang zailin Liu Diankui Shi Wenpu Harbin Engn Univ Civil Engn Coll Harbin 150001 Peoples R China

The Green's function is used to solve the scattering far fieldsolution of SH-wave by a mov- able rigid cylindrical interfaceinclusion in a linear elastic body. First, a suitable Green'sfunction is devel- oped, which is the fundamental displacementsolution of an elastic half space with a movable rigid half-cylin-drical inclusion impacted by out-of-plane harmonic line source loadedat any point of its horizontal surface.

关键词： movable rigid cylindrical interface inclusion Green's function scatteringof SH-waves displacement mode of scattering wave for far field

Notch fatigue of Cu50Zr50 metallic glasses under cyclic loading:molecular dynamics simulations

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Communications in Theoretical Physics 2021年第6期73卷 119-125页

作者： Yong yang Hairui Li zailin yang Jin Liu Evans Kabutey Kateye Jianwei Zhao College of Aerospace and Civil Engineering Harbin Engineering UniversityHarbin 150001China Key Laboratory of Advanced Material of Ship and Mechanics Ministry of Industry and Information TechnologyHarbin Engineering UniversityHarbin 150001China College of Materials and Textile Engineering Jiaxing UniversityJiaxing 314000China

Molecular dynamics simulation is performed to simulate the tension–compression fatigue of notched metallic glasses(MGs),and the notch effect of MGs is *** notches will accelerate the accumulation of shear transition zones,leading to faster shear banding around the notches’root causing it to undergo severe plastic ***,a qualitative investigation of the notched MGs demonstrates that fatigue life gradually becomes shorter with the increase in sharpness until it reaches a critical *** fatigue performance of blunt notches is stronger than that of sharp *** the notches blunter can improve the fatigue life of MGs.

关键词： metallic glasses notches fatigue life molecular dynamics simulations