General Forms of Elastic-Plastic Matching Equations for Mode-Ⅲ Cracks Near the Crack Line
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摘要: 针对理想弹塑性Ⅲ型裂纹问题,对线场分析方法的步骤和匹配过程进行了凝练和归纳,给出了裂纹线附近塑性场、弹塑性边界、弹塑性匹配方程的一般形式及其一般求解步骤,将不同条件下的Ⅲ型裂纹问题归结为由4个匹配方程确定4个待定常数,并通过一个具体问题,验证了这一方法的正确性、简明性和通用性.Abstract: To address mode-Ⅲ crack problems under elastic-perfectly plastic condition, the matching procedures of the crack line analysis method was summarized and refined to give the general forms and formulation steps of plastic field, elastic-plastic boundary and elastic-plastic matching equations near the crack line. The work unified the different-condition mode-Ⅲ crack problems as determining 4 integral constants through 4 matching equations. An example was demonstrated to verify the correctness, conciseness and generality of the procedure.
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