建议一种新颖的功能梯度构件分析的细观元法,给出了方法模型、基本算式及特点与功能.细观元法对构件的常规有限单元内部设置密集细观单元以反映材料组分梯度变化,又通过协调条件将各细观元结点自由度转换为同一常规有限元自由度,再上机计算.此法可实现材料细观结构到构件宏观响应的直接过渡分析,而计算单元与自由度又等同于常规有限元,为解决功能梯度构件宏观、细观跨尺度分析提供了一种有效工具.本文中直接从制备时给定材料组分分布出发计算构件宏观响应,给出了不同开孔形状与数量功能梯度板的力学量三维分布形态.
参考文献
| [1] | Koizumi M.The concept of FGM[J].Ceramic Trans,Functionally Gradient Materials,1993,34(1):3-10. |
| [2] | Hirai T,Chen L.Recent and prospective development of functionally graded materials in Japan[J].Mater Sci Forum,1999,308/311:509-514. |
| [3] | Obata Y,Noda N,Tsuji T.Steady thermal stresses in a FGM plate[J].Trans of the Japan Society of Mechanical Engineers,Series A,1992,58(553):1689-1695. |
| [4] | Obata Y,Noda N.Steady thermal stresses in a hollow circular cylinder and a hollow sphere of a FGM[J].J of Thermal Stresses,1994,17(3):471-487. |
| [5] | Cheng Z Q,Batra R C.3-D thermoelastic deformations of a FGM elliptic plate[J].Composites Part B,2000,31(2):97-106. |
| [6] | Praveen G N,Reddy J N.Nonlinear transient thermoelastic analysis of FGM ceramic-metal plates[J].Inter J of Solids and Structures,1998,35(33):4457-4476. |
| [7] | Tanigawa Y,Matsumoto M,Akat T.Optimization problem of material composition for nonhomogeneous plate to minimize thermal stress[J].Trans of the Japan Society of Mechanical Engineers,Series A,1996,62(593):115-122. |
| [8] | Erdogan F.Fracture mechanics[J].Inter J of Solids and Structures,2000,37(1/2):171-183. |
| [9] | Tanigawa Y.Some basic thermoelastic problems for nonhomogeneous structural materials[J].ASME,App Mech Rev,1995,48(6):287-300. |
| [10] | Chen W Q,Ding H T.Bending of functionally graded piezoelectric rectangular plates[J].Acta Mech Solida Sinica,2000,13(4):312-319. |
| [11] | Cheng Z Q,Lim C W,Kitipornchai S.3-D asymptotic approach to inhomogeneous and laminated piezoelectric plates[J].Inter J of Solids and Structures,2000,37(23):3153-3175. |
| [12] | Lim C W,He L H.Exact solution of a compositionally graded piezoelectric layer under uniform stretch,bending and twisting[J].Inter J of Mechanical Sciences,2001,43(11):2479-2492. |
| [13] | Yang J,Shen H S.Dynamic response of initially stressed functionally graded rectangular thin plates[J].Composite Structure,2001,54(4):497-508. |
| [14] | 沈惠申.功能梯度复合材料板壳结构的弯曲、屈曲和振动[J].力学进展,2004,34(1):53-60.Shen Huishen.Bending,buckling and vibration of functionally graded composite material plates and shells[J].Advances in Mechanics,2004,34(1):53-60. |
| [15] | 王勖成.有限单元法[M].北京:清华大学出版社,2001:40-140.Wang X C.Finite Elements Method[M].Beijing:Tsinghua University Press,2001:40-140. |
| [16] | Zhong Z,Sheng E T.3-D exact analysis of a simply supported functionally gradient piezoelectric plate[J].Inter J of Solids and Structures,2003,40(20):5335-5352. |
上一张
下一张
上一张
下一张
计量
- 下载量()
- 访问量()
文章评分
- 您的评分：
-
10%
-
20%
-
30%
-
40%
-
50%