高洪波,徐世烺,吴智敏,卜丹.双K断裂模型粘聚韧度KcIc实用插值计算方法[J].计算力学学报,2010,27(1):47~52 |
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双K断裂模型粘聚韧度KcIc实用插值计算方法 |
A practical interpolation method for determining cohesion toughness KcIc of double-K fracture model |
投稿时间:2008-04-27 |
DOI:10.7511/jslx20101008 |
中文关键词: 混凝土断裂试验规程 双K断裂模型 粘聚韧度KcIc 插值计算 |
英文关键词:concrete fracture test norm double-K fracture model cohesion toughness KcIc interpolation |
基金项目:国家自然科学基金(50178015);国家自然科学基金重点(50438010)资助项目. |
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中文摘要: |
为了配合《水工混凝土断裂试验规程》在工程界的推广使用,提出了双K断裂模型中在临界状态时分布在虚拟裂缝上的粘聚力σ(x)产生的粘聚韧度KcIc的二元拉格朗日插值计算方法,进而由准脆性材料韧度三参数定律计算了混凝土起裂韧度KiniIc。与粘聚韧度KcIc积分计算和简化计算方法的比较,表明此插值计算方法具有很高的精度,计算过程简化,使用计算器即可实现,便于工程人员实际使用。 |
英文摘要: |
To extend the application of concrete fracture test norm in engineering, a bivariate Lagrangian interpolation function method for determining double-K fracture model cohesion toughness KcIc, of which caused by the cohesive force σ(x) along the fictitious crack zone in the critical state, is proposed. Then the initiation toughness KiniIc can be easily evaluated using the three-parameter law of toughness in quasi-brittle materials. Compared with the values of cohesion toughness KcIc calculated by the numerical integration, this interpolation method is of high accuracy. Further, the calculation of KcIc is simplified much more, all calculations can be performed with a pocket calculator and it is very convenient for practical engineers. |
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