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Acta Mechanica Solida Sinica 2018年第3期31卷 332-348页

作者： Chuan-ping Zhou Qiao-yi Wang Denghao Chen Chao Hu Ban Wang Fai Ma Zhejiang Key Laboratory of Mechanical Equipment and Technology for Marine Machinery School of Mechanical Engineering Hangzhou Dianzi University School of Mechatronic Engineering China University of Mining and Technology School of Aerospace Engineering and Applied Mechanics Tongji University College of Engineering University of CaliforniaBerkeley

Based on the refined dynamic equation of stretching plates, the elastic tensio compression wave scattering and dynamic stress concentrations in the thick plate with two cutouts are studied. In view of the problem that the shear stress is automatically satisfied under the free boundary condition, the generalized stress of the first-order vanishing moment of shear stress is considered. The numerical results indicate that, as the cutout is thick, the maximum value of the dynamic stress factor obtained using the refined dynamic theory is 19% higher than that from the solution of plane stress problems of elastic dynamics.

关键词： Refined vibration equation of stretching plate Thick plate First moment of shear stress elastic wave scattering Dynamic stress concentration

elastic wave scattering by Two-Dimensional Periodical Array of Cylinders

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Wuhan University Journal of Natural Sciences 2002年第2期7卷 174-176页

作者： Mei Jun Liu Zheng-you Shi Jing School of Physics and Technology Wuhan UniversityWuhan 430072HubeiChina

We extend the multiple-scattering theory (MST) for elastic wave scattering and propagating in two-dimensional composite. The formalism for the band structure calculation is presented by taking into account the full vector character of the elastic wave. As a demonstration of application of the formalism we calculate the band structure of elastic wave propagating in a two-dimensional periodic arrangement of cylinders. The results manifest that the MST shows great promise in complementing the plane-wave (PW) approach for the study of elastic wave.

关键词： elastic wave scattering band structure two-dimensional periodical arrangement multiple-scattering theory

elastic wave scattering and Dynamic Stress Concentrations around Double Holes in Piezoelectric Media

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Journal of Applied Mathematics and Physics 2020年第12期8卷 3060-3069页

作者： Zihe Li Haoyu Liu Wanzhu Zhen Beihua University Jilin China

In this paper, on the basis of Liu’s complex function and conformal mapping methods, supplemented by local coordinate system method, e-type piezoelectric material and elastic wave scattering and dynamic stress concentrations problems with double holes question are studied, and an analytical solution is given to the problems. On the basis of multiple scattering of elastic wave theory, put forward the study about microscopic dynamics model to dynamic stress in the structure of piezoelectric composites as well as dynamic playing field. As an example, the numerical results of the dynamic stress distribution around the hole in case double equal diameter holes are given in the paper, and the influence of incident wave number and hole-spacing parameters on the dynamic stress concentration factor is analyzed.

关键词： Dynamic Stress Concentrations elastic wave scattering Piezoelectric Hole

Analysis of the role of diffraction in topographic site effects using boundary element techniques

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Earthquake Science 2013年第5期26卷 341-350页

作者： Juan Gomez Doriam Restrepo Juan Jaramillo Camilo Valencia Departamento de Ingeniería Civil Universidad EAFITMedellín Colombia

The role played by the diffraction field on the problem of seismic site effects is studied. For that purpose we solve and analyze simple scattering problems under P and SV in-plane wave assumptions, using two well known direct boundary-element-based numerical methods. After establishing the difference between scattered and diffracted motions, and introducing the concept of artificious and physically based incoming fields, we obtain the amplitude of the Fourier spectra for the diffracted part of the response： this is achieved after establishing the connection between the spatial distribution of the transfer function over the studied simple topographies and the diffracted field. From the numerical simulations it is observed that this diffracted part of the response is responsible for the amplification of the surface ground motions due to the geometric effect. Furthermore, it is also found that the diffraction field sets in a fingerprint of the topographic effect in the total ground motions. These conclusions are further supported by observations in the time-domain in terms of snapshots of the propagation patterns over the complete computational model. In this sense the geometric singularities are clearly identified as sources of diffraction and for the considered range of dimensionless frequencies it is evident that larger amplifications are obtained for the geometries containing a larger number of diffraction sources thus resulting in a stronger topographic effect. The need for closed-form solutions of canonical problems to construct a robust analysis method based on the diffraction field is identified.

关键词： Seismic site effects Topographiceffects elastic wave scattering Diffractionof in-plane waves

DYNAMIC ANALYSIS OF A BURIED RIGID ELLIPTIC CYLINDER PARTIALLY DEBONDED FROM SURROUNDING MATRIX UNDER SHEAR waveS

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Acta Mechanica Solida Sinica 1995年第1期8卷 51-63页

作者： Wang Yuesheng Wang Duo, Department of Astronautics and Mechanics, Harbin Institute of Technology, Harbin 150001, P. R. China Department of Astronautics and Mechanics Harbin Institute of Technology Harbin 150001 China

This paper investigates the dynamic behavior of a buried rigid elliptic cylinder partially debonded from surrounding matrix under the action of anti-plane shear waves (SH waves). The debonding region is modeled as an elliptic arc-shaped interface crack with non-contacting faces. By using the wave function (Mathieu function) expansion method and introducing the dislocation density function as an unknown variable, the problem is reduced to a singular integral equation which is solved numerically to calculate the near and far fields of the problem. The resonance of the structure and the effects of various parameters on the resonance are discussed.

关键词： elastic wave scattering interface debonding interface crack wave function singular integral equation

多层介质有限宽平面交界无应力裂纹的弹性波(P波和SV波)散射研究(英文)

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哈尔滨工业大学学报 1988年第5期 101-103页

作者：马兴瑞邹振祝邵成勋黄文虎

In this paper, a rigorous theory of scattering of elastic waves by a stress-free crack of finite width in the plane interface of multilayer media is presented. The multilayer media are composed of N elastic layers and... 详细信息

关键词： elastic wave scattering interface crack transfer matrix far-field mode.