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国家自然科学基金(11072015)

作品数:5 被引量:13H指数:3
相关作者:陈明阳周原夏彪卢子兴更多>>
相关机构:北京航空航天大学更多>>
发文基金:国家自然科学基金国家教育部博士点基金更多>>
相关领域:理学一般工业技术轻工技术与工程建筑科学更多>>

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General solutions of plane problem for power function curved cracks
2011年
A new exact and universal conformal mapping is proposed. Using Muskhelishvili's complex potential method, the plane elasticity problem of power function curved cracks is investigated with an arbitrary power of a natural number, and the general solutions of the stress intensity factors (SIFs) for mode I and mode II at the crack tip are obtained under the remotely uniform tensile loads. The present results can be reduced to the well-known solutions when the power of the function takes different natural numbers. Numerical examples are conducted to reveal the effects of the coefficient, the power, and the projected length along the x-axis of the power function curved crack on the SIFs for mode I and mode II.
郭俊宏袁泽帅卢子兴
有限高狭长压电体中半无限运动裂纹问题解析解
通过引入保角变换,利用复变函数法,分析了部分裂纹面上受反平面剪应力和面内电载荷共同作用下有限高狭长压电体中的运动裂纹问题,导出了电不可通边界条件下裂纹尖端场强度因子和机械应变能释放率的解析解。
刘萍袁泽帅卢子兴
关键词:复变函数法
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用于缎纹机织复合材料力学行为数值模拟的新单胞模型被引量:3
2014年
针对缎纹机织复合材料的数值模拟工作,在保证精度的前提下为提高计算效率,基于5枚正则缎纹机织复合材料的细观结构,构造了一种新的平行四边形单胞模型。利用该模型和传统的矩形单胞模型,采用Linde失效准则,模拟了复合材料在经向拉伸及面内剪切载荷作用下的应力与应变行为。模拟结果表明,2种单胞模型的计算结果一致,与实验值吻合较好,但新模型相比传统模型的建模工作量减少了近80%,计算效率提高近90%,是一种更为合理、高效的建模分析方法。此外,该建模分析方法还可用于其他正则缎纹机织复合材料的优化设计及力学性能分析。
卢子兴周原陈明阳夏彪
关键词:缎纹机织复合材料单胞模型有限元
Anti-plane analysis of semi-infinite crack in piezoelectric strip被引量:5
2011年
Using the complex variable function method and the technique of the conformal mapping, the fracture problem of a semi-infinite crack in a piezoelectric strip is studied under the anti-plane shear stress and the in-plane electric load. The analytic solutions of the field intensity factors and the mechanical strain energy release rate are presented under the assumption that the surface of the crack is electrically impermeable. When the height of the strip tends to infinity, the analytic solutions of an infinitely large piezoelectric solid with a semi-infinite crack are obtained. Moreover, the present results can be reduced to the well-known solutions for a purely elastic material in the absence of the electric loading. In addition, numerical examples are given to show the influences of the loaded crack length, the height of the strip, and the applied mechanical/electric loads on the mechanical strain energy release rate.
郭俊宏刘萍卢子兴秦太验
Line field analysis and complex variable method for solving elastic-plastic fields around an anti-plane elliptic hole被引量:3
2011年
A new approach is proposed to solve the elastic-plastic fields near the major-axis line of an elliptical hole. The complex variable method is used to determine the elastic fields near the major-axis line of the elliptical hole. Then, by using the line field analysis method, the exact and new solutions of the stresses, strains in the plastic zone, the size of the plastic region and the unit normal vector of the elastic-plastic boundary near the major-axis line of the elliptical hole are obtained for an anti-plane elliptical hole in a perfectly elastic-plastic solid. The usual small scale yielding assumptions are not adopted in the analysis. The present method is simple, easy and efficient. The influences of applied mechanical loading on the size of plastic zone are discussed.
GUO JunHongLU ZiXing
Exact solutions of two semi-infinite collinear cracks in piezoelectric strip被引量:3
2011年
Using the complex variable function method and the conformal mapping technique, the fracture problem of two semi-infinite collinear cracks in a piezoelectric strip is studied under the anti-plane shear stress and the in-plane electric load on the partial crack surface. Analytic solutions of the field intensity factors and the mechanical strain energy release rate are derived under the assumption that the surfaces of the crack are electrically impermeable. The results can be reduced to the well-known solutions for a purely elastic material in the absence of an electric load. Moreover, when the distance between the two crack tips tends to infinity, analytic solutions of a semi-infinite crack in a piezoelectric strip can be obtained. Numerical examples are given to show the influence of the loaded crack length, the height of the strip, the distance between the two crack tips, and the applied mechanical/electric loads on the mechanical strain energy release rate. It is shown that the material is easier to fail when the distance between two crack tips becomes shorter, and the mechanical/electric loads have greater influence on the propagation of the left crack than those of the right one.
卢子兴刘萍郭俊宏
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