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裂纹板贴补应力分析
引用本文:陈永强,孙树勋,王清,姚振汉.裂纹板贴补应力分析[J].工程力学,2000,17(3):49-54,9.
作者姓名:陈永强  孙树勋  王清  姚振汉
作者单位:1. 清华大学工程力学系,北京,100084
2. 山东工业大学材料科学与工程学院,济南,250061
摘    要:本文采用含裂纹无限大板特殊基本解和合力边界条件,用体积力法对含裂纹金属薄板的胶贴补强问题进行应力分析。使用一满足胶贴层位移连续条件的剪切单元,把问题转化为对裂纹板和贴片的分析。由于使用的特殊基本解精确满足裂纹面自由力边界条件,避免了对裂纹尖端附近的奇异场进行离散处理,因而可以比较精确地求出裂纹尖端附近的应力分布,同时由于单位集中力引起的裂纹尖端应力强度因子可以解析得到,因而可以较准确地反映出用应力强度因子的降低来表征的贴补效果。作为贴补计算的例子,文中计算了受拉力和剪力作用时,含中心裂纹的金属裂纹板在贴补前后裂纹尖端应力强度因子的降低,给出了贴片的厚度、弹性模量和尺寸及肢贴层厚度等对贴补效果的影响。

关 键 词:裂纹板  胶贴  特殊基本解  体积力法
文章编号:

STRESS ANALYSIS OF CRACKED PLATE WITH ADHESIVELY BONDING
CHEN Yong-qiang,SUN Shu-xun,WANG Qing,YAO Zhen-han.STRESS ANALYSIS OF CRACKED PLATE WITH ADHESIVELY BONDING[J].Engineering Mechanics,2000,17(3):49-54,9.
Authors:CHEN Yong-qiang  SUN Shu-xun  WANG Qing  YAO Zhen-han
Abstract:In thes paper, Body Force Method (BFM) with special fundamental soluhons and resultant bountw condihons is employed to analyze the problem of an adhesively bondedcracked plate. A shear sghng model, which sahsfies the continuous displacement condihons of the adhesive layer, is adopted to render the problem into the analysis of the cracked plate and the patch, under the achon of distributed forces along boundaries and the adhesive shear stresses.Since the special solutions satisfy the trachve-free condihons of the surface of the crack, the discretizations of the crack surface are not required and the exact distribution of stress near the crack tip is obtained. With the analgtical solutions of the Stress Inensity Factors at the crack tip due to a point force, the adhesively bonding effect represented by the reduchon of SIF at the crack tip is obtalned easily and accurately with less computational effort. As an example of crack patching, a center-cracked plate with a bonded patch subjected to remote in-plane forces is studied. The SIF of the crack tip after repairing is calculated to verify the effect of the adhesively patching method. The distribution of adhesive shear stress in the patched domaln is giveir The induences of the thickness, elastic constants and size of the patch on the SIF are discussed.
Keywords:cracked plate  adhesively bonding  special fundamental solutions  body force method
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