项目名称: 准晶材料非线性断裂理论研究
项目编号: No.11272053
项目类型: 面上项目
立项/批准年度: 2013
项目学科: 数理科学和化学
项目作者: 范天佑
作者单位: 北京理工大学
项目金额: 80万元
中文摘要: 发展广义内聚力模型,广义连续位错模型和广义能量-动量张量/广义路径守恒积分原理,确定一维,二维,三维准晶裂纹顶端塑性区尺寸和一维,二维,三维准晶裂纹顶端张开位移,同时发展复分析,奇异摄动展开,奇异积分方程和有限元方法,对上述计算进行检验与核对,对计算结果的精度给出翔实的评估。以上面得到的准晶断裂控制参量作为出发点,建议准晶材料非线性断裂判据,发展和完善准晶材料非线性断裂理论,推进准晶基础研究和实际工程应用。
中文关键词: 准晶;软物质;非线性;断裂;
英文摘要: Developing generalized cohesive force model, generalized continuum dislocation model and generalized energy-momentum tensor/generalized path-independent integral principle, determine the sizes of plastic zone around crack tip of one-, two- and three-dimensional quasicrystals, respectively. Meantime, developing complex analysis, singular perturbation, singular integral equations and finite element methods, check the above calculation results, give estimation on their precise. Based on the parameter controlling nonlinear fracture of quasicrystalline materials mentioned above, suggest nonlinear fracture criterion of the materials, to develop and improve the nonlinear fracture theory of the new solid phase. This presents fundamental importance and engineering application for quasicrystal science and technology.
英文关键词: Quasicrystals;soft matter;nonlinearity;fracture;