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Interaction of underwater explosion bubble with complex elastic-plastic structure

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Applied Mathematics and Mechanics(English Edition) 2008年第1期29卷 89-100页

作者：张阿漫姚熊亮 College of Shipbuilding Engineering Harbin Engineering University

Considering the elastic-plasticity of the structure, the combination of boundary element method and finite element method （FEM） is employed to present the calculation method for solving the complex coupled dynamic problem of bubble, elastic-plastic structure and the free surface, and the complete three-dimensional calculation program is developed as well. The error between the calculated result and the experimental result is within 10%. Taking a surface ship for example, the three-dimensional calculation program is extended to engineering filed. By employing the program, the response of the ship under the bubble loading is analyzed. From the stress-time history curves of typical elements of the structure, it can be seen that the pressure reaches its maximum when the bubble collapses and this validates that the pressure generated by the bubble collapse and the jet can cause serious damage on the ship structure. From the dynamic process of the interaction between the three-dimensional bubble and the ship, the low order vertical mode of the ship is provoked and the ship presents whip-shaped motion. And the ship does elevation and subsidence movement with the expansion and shrinkage of the bubble. Some rules and conclusions which can be applied to the engineering problems are obtained from the analysis in this paper.

关键词： underwater explosion bubble toroidal jet elastic-plasticity ship

GENERAL FORM OF MATCHING EQUATION OF elastic-PLASTIC FIELD NEAR CRACK LINE FOR MODE I CRACK UNDER PLANE STRESS CONDITION

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Applied Mathematics and Mechanics(English Edition) 2001年第10期22卷 1173-1182页

作者： YI Zhi-jian(易志坚) YAN Bo(严波) Department of Bridge and Structure Engineeing Chongqing Jiaotong UniversityChongqing 400074 P R China Department of Engineering Mechanics Chongqing University Chongqing 400044 P R China

Crack line field analysis method has become an independent method for crack elastic-plastic analysis, which greatly simplifies the complexity of crack elastic-plastic problems and overcomes the corresponding mathematical difficulty. With this method, the precise elastic-plastic solutions near crack lines for variety of crack problems can be obtained. But up to now all solutions obtained by this method were for different concrete problems, no general steps and no general form of matching equations near crack line are given out. With crack line analysis method, this paper proposes the general steps of elastic plastic analysis near crack line for mode I crack in elastic-perfectly plastic solids under plane stress condition, and in turn given out the solving process and result for a specific problem.

关键词： crack elastic-plasticity crack-line analysis method crack line plane stress

Prediction on dispersion in elastoplastic unsaturated granular media

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Theoretical & Applied Mechanics Letters 2020年第2期10卷 74-78页

作者： Chenxi Xiu Xihua Chu Jiao Wang School of Civil Engineering Wuhan UniversityWuhan 430072China State Key Laboratory for Structural Analysis of Industrial Equipment Dalian University of TechnologyDalian 116024China

This study focuses on the propagation of the plane wave in the elastoplastic unsaturated granular media,and the wave equations and dispersion equations are derived for the media under the framework of Cosserat *** to symmetry,five different wave modes are considered and predicted for the elastoplastic unsaturated granular media based on the Cosserat theory,including two longitudinal waves,one rotational longitudinal wave and two coupled transverse–rotational transverse *** correspondence is discussed between these Cosserat wave modes and the classical wave *** on the dispersion equations,the dispersion behaviors are obtained for the five Cosserat wave *** results indicated that the different stress-strain stages,including the elastic,hardening and softening stages,have obvious effect on the dispersion behaviors of the Cosserat wave modes.

关键词： Unsaturated granular media elastic-plasticity Cosserat Wave propagation Dispersion

elastic EFFECT IN DYNAMIC RESPONSE OF PLASTIC CANTILEVER BEAMS TO IMPACT

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Acta Mechanica Solida Sinica 1995年第1期8卷 32-44页

作者： Hou Weijian1 Yu Tongxi2 Su Xianyue11 Department of Mechanics, Peking University, Beijing 100871, P. R. China2 Department of Mechanical Engineering, UMIST, Manchester, M60 1QD, UK Department of Mechanics Peking University Beijing 100871 China Department of Mechanical Engineering UMIST Manchester M60 1QD United Kingdom

A lumped masses-springs model is proposed to analyze the dynamic response of an elastic-plastic cantilever beam resulting from impact. The numerical results are in good agreement with those by finite-element approaches. The simplified model can catch the most essential features of elastic-plastic response of beams; in particular, it demonstrates the effect of elastic deformation on the distribution of bending moment and energy dissipation, and provides valuable quatitative results.

关键词： elastic-plasticity elastic effect dynamic response cantilever beam