|
|
- 2015
基于Voxel有限元网格对球形夹杂复合材料的应力分析
|
Abstract:
通过Voxel有限元网格对球形夹杂复合材料进行应力分析时, 由于Voxel网格在两相界面呈现阶梯状, 所以在两相界面附近的单元会表现出明显的应力集中现象.提出采用局部应力平均方法来处理由于Voxel有限元网格而引起的应力集中, 并且考虑应力平均区域、 应力平均加权函数以及网格密度的影响.结果表明: 该局部应力平均方法能够有效地去除两相界面附近单元的应力集中, 但应力平均区域不能过大也不能过小.通过计算发现采用2个Voxel网格深度的平均区域为最优, 并且具有网格不依赖性.该方法也可以进一步用于球形夹杂复合材料的积累损伤演化分析. Based on Voxel finite element mesh, the stress analysis of spherical inclusion composites was conducted. The obvious stress concentration phenomenon of elements neighboring interface was induced by the stepped interface within Voxel mesh. A local stress averaging method was proposed to treat the stress concentration induced by Voxel finite element mesh. In addition, the effects of stress averaging domain, stress averaging weight function and mesh density were taken into account. It is found that the local stress averaging method can effectively reduce the stress concentration of elements neighboring interface. But the averaging domain size should be not too big or too small. The two depth layer Voxel elements are the best choice as the averaging domain through calculation, which also has mesh independence. The method can be further used in the progressive damage evolution analysis of the spherical inclusion composites. 国家自然科学基金(11102051,11325210);国家留学基金(201303070093)
| [1] | Xu J, Cox B N, McGlockton M A, et al. A binary model of textile composites-II. The elastic regime [J]. Acta Metallurgica et Materialia, 1995, 43(9): 3511-3524. |
| [2] | Belytschko T, Black T. Elastic crack growth in finite elements with minimal remeshing [J]. International Journal for Numerical Methods in Engineering, 1999, 45(5): 601-620. |
| [3] | Belytschko T, Parimi C, Moёs N, et al. Structured extended finite element methods for solids defined by implicit surfaces [J]. International Journal for Numerical Methods in Engineering, 2003, 56(4): 609-635. |
| [4] | Fang G, Liang J. A review of numerical modeling of three dimensional braided textile composites [J]. Journal of Composite Materials, 2011, 45(23): 2415-2436. |
| [5] | Xu J, Cox B N, McGlockton M A, et al. A binary model of textile composites-II. The elastic regime [J]. Acta Metallurgica et Materialia, 1995, 43(9): 3511-3524. |
| [6] | Fang G, Liang J. A review of numerical modeling of three dimensional braided textile composites [J]. Journal of Composite Materials, 2011, 45(23): 2415-2436. |
| [7] | McGlockton M A, Cox B N, McMeeking R M. A binary model of textile composites: III high failure strain and work of fracture in 3D weaves[J]. Journal of the Mechanics and Physics of Solids, 2003, 51(8): 1573-1600. |
| [8] | Iarve E V, Mollenhauer D H, Zhou E G, et al. Independent mesh method based prediction of local and volume average fields in textile composites [J]. Composites Part A: Applied Science and Manufacturing, 2009, 40(12): 1880-1890. |
| [9] | Jiang W G, Hallett S, Wisnom M. Development of domain superposition technique for the modelling of woven fabric composites. Mechanical response of composites[M]. Amsterdam: Springer Netherlands, 2008: 281-291. |
| [10] | Lippmann N, Steinkopff T, Schmauder S, et al. 3D-finite element modelling of microstructures with the method of multiphase elements [J]. Computational Materials Science, 1997, 9(1-2): 28-35. |
| [11] | McGlockton M A, Cox B N, McMeeking R M. A binary model of textile composites: III high failure strain and work of fracture in 3D weaves[J]. Journal of the Mechanics and Physics of Solids, 2003, 51(8): 1573-1600. |
| [12] | Iarve E V, Mollenhauer D H, Zhou E G, et al. Independent mesh method based prediction of local and volume average fields in textile composites [J]. Composites Part A: Applied Science and Manufacturing, 2009, 40(12): 1880-1890. |
| [13] | Jiang W G, Hallett S, Wisnom M. Development of domain superposition technique for the modelling of woven fabric composites. Mechanical response of composites[M]. Amsterdam: Springer Netherlands, 2008: 281-291. |
| [14] | Lippmann N, Steinkopff T, Schmauder S, et al. 3D-finite element modelling of microstructures with the method of multiphase elements [J]. Computational Materials Science, 1997, 9(1-2): 28-35. |
| [15] | Belytschko T, Black T. Elastic crack growth in finite elements with minimal remeshing [J]. International Journal for Numerical Methods in Engineering, 1999, 45(5): 601-620. |
| [16] | Belytschko T, Parimi C, Moёs N, et al. Structured extended finite element methods for solids defined by implicit surfaces [J]. International Journal for Numerical Methods in Engineering, 2003, 56(4): 609-635. |
| [17] | Moёs N, Cloirec M, Cartraud P, et al. A computational approach to handle complex microstructure geometries [J]. Computer Methods in Applied Mechanics and Engineering, 2003, 192(28-30): 3163-3177. |
| [18] | Sherburn M. Geometric and mechanical modelling of textiles [D]. Nottingham: University of Nottingham, 2007. |
| [19] | Gao X, Luo P, Yu G, et al. Micro-XCT-based finite element method for prediction of elastic modulus of plane woven carbon fiber reinforced ceramic matrix composites [J]. Journal of Composite Materials, 2015, 49(27): 3373-3385. |
| [20] | de Carvalho N V, Pinho S T, Robinson P. Reducing the domain in the mechanical analysis of periodic structures, with application to woven composites [J]. Composites Science and Technology, 2011, 71(7): 969-979. |
| [21] | Green S D, Matveev M Y, Long A C, et al. Mechanical modelling of 3D woven composites considering realistic unit cell geometry[J]. Composite Structures, 2014, 118: 284-293. |
| [22] | Koumpias A S, Tserpes K I, Pantelakis S. Progressive damage modelling of 3D fully interlaced woven composite materials [J]. Fatigue & Fracture of Engineering Materials & Structures, 2014, 37(7): 696-706. |
