BARYCENTRIC INTERPOLATION COLLOCATION METHOD WITH DOMAIN DECOMPOSITION FOR SIMULATING BIMATERIAL MODEL

Abstract

Abstract: The barycentric interpolation collocation method with domain decomposition for simulating mechanical properties of bimaterial model is presented in polar coordinate system． According to the interface of biomaterial model,the physical domain is divided into two subdomains． The formulations of barycentric interpolation collocation method is constructed on the subdomian,respectively． The formulations of subdomain are assembled in a global form． Applying boundary and interface conditions to Solve the system of algebraic equations,the displacement field of bimaterial model is obtained． The numrical results of bimaterial model indicate the validity and accuracy of proposed method．

Key words: polar coordinate system, barycentric interpolation collocation method, domain deconposition method, elasticity, bimaterial model, meshless method

CLC Number:

TB332
TB12

LI Shu-ping, WANG Zhao-qing, TANG Bing-tao. BARYCENTRIC INTERPOLATION COLLOCATION METHOD WITH DOMAIN DECOMPOSITION FOR SIMULATING BIMATERIAL MODEL[J]. COMPOSITES SCIENCE AND ENGINEERING, 2013, 0(1): 25-29.

References

[1] 张景涛, 王兆清, 李淑萍. 非均质材料有效模量的数值模拟方法[J]. 玻璃钢/复合材料, 2007, (4): 53-56.
[2] 魏高峰, 高洪芬. 颗粒增强复合材料有限覆盖技术数值模拟研究[J]. 玻璃钢/复合材料, 2007, (2): 7-11.
[3] 方括, 张青, 闫国华. 应用ANSYS 的复合材料层合板静强度预测[J]. 玻璃钢/复合材料, 2011, (6): 3-6.
[4] 李玮, 段成红, 吴祥. 碳纤维复合材料强度的有限元模拟[J].玻璃钢/复合材料, 2011, (1): 20-23.
[5] 王兆清, 李淑萍. 非均质复合材料力学性能分析的多边形有限元方法[J]. 玻璃钢/复合材料, 2007, (5): 11-15.
[6] 王兆清, 张景涛, 李淑萍. 计算复合材料有效弹性模量的重心有限元方法[J]. 复合材料学报, 2007, 24(6): 173-179.
[7] 张景涛, 王兆清. 复合材料细观几何结构对有效模量的影响[J]. 机械强度, 2009, 31(3): 437-442.
[8] Sukumar N, Chopp D L, Moes N, et al.Modeling holes and inclusions by level sets in the extended finite-element method[J]. Computer methods in Applied Mechanics and Engineering, 2001, 190: 6183-6200.
[9] Cheng K W, Fries T P.Higher-order XFEM for curved strong and weak discontinuities[J]. International Journal for Numerical Methods in Engineering, 2010, 82(5): 564-590.
[10] Trefethen L N.Spectral methods in Matlab[M]. Philadelphia: SIAM, 2000.
[11] Chen J S, Wang L H, Hu H Y, et al.Subdomain radial basis collocation method for heterogeneous media[J]. International Journal for Numerical Methods in Engineering, 2009, 80: 163-190.
[12] 王兆清, 李淑萍, 唐炳涛等. 脉冲激励振动问题的高精度数值分析[J]. 机械工程学报, 2009, 45(1): 288-292.
[13] 王兆清, 李淑萍, 唐炳涛. 圆环变形及屈曲的重心插值配点法分析[J]. 机械强度, 2009, 31(2): 245-249.
[14] 李淑萍, 王兆清. 非线性振动分析的重心插值配点法[J]. 噪声与振动控制, 2008, 28(4): 49-52.
[15] Zhang X, Liu X H, Song K Z, et al.Least-squares collocation meshless method[J]. International Journal for Numerical Methods in Engineering, 2001, 51: 1089-1100.
[16] Amani J, Afshar M H, Naisipour M.Mixed discrete least squares meshless method for planar elasticity problems using regular and irregular nodal distributions[J]. Engineering Analysis with Boundary Elements, 2012, 36: 894-902.
[17] Weideman J A, Reddy S C.A MATLAB differentiation matrix suite[J]. ACM Transactions on Mathematical Software, 2000, 26(4): 465-519.
[18] Berrut J-P, Trefethen L N.Barycentric Lagrange interpolation[J]. SIAM Review, 2004, 46(3): 501-517.
[19] 王兆清, 李淑萍, 唐炳涛. 一维重心型插值: 公式、算法和应用[J]. 山东建筑大学学报, 2007, 22(5): 448-453.
[20] Ma C C, Hung K M.Exact full-field analysis of strain and displacement for circular disks subjected to partially distributed compressions[J]. International Journal of Mechanical Sciences, 2008, 50: 275-292.