Nonlinear Buckling Characteristic of the Graded Multiweb Structure of Heterogeneous Materials
-
摘要: 非均质、各向异性材料梯度多墙结构充分利用了材料性质连续、渐进、变化的物理力学性能,现已广泛应用于飞行机翼结构和汽车轻量化结构.在层合板屈曲理论的基础上,针对梯度多墙结构这一具体结构形式,采用当量刚度方法,建立了相应的本构关系和非线性屈曲控制方程,求解得到不同复杂边界条件及组合载荷下的屈曲临界载荷,通过试验分析验证,计算结果可以较好地满足工程设计.研究结果表明:梯度材料能有效地减小界面中的应力集中,减弱材料中初始缺陷的作用,从而不同程度地提高了材料的强度和韧性.Abstract: The graded multiweb structure of heterogeneous anisotropic materials,which makes full use of the continuous,gradual and changing physical mechanical performance of material properties,has a widespread application in aeroplane aerofoil structure and automobile lightweight structure.On the basis of laminate buckling theory,the equivalent rigidity method is adopted to establish the corresponding constitutive relation and the non-linear buckling governing equation for the graded multiweb structure.In finding the solution,the critical load of buckling under different complicated boundary conditions together with combined loads were obtained and testification of the experimental analysis shows that the calculation results can satisfy the requirements of engineering design in a satisfactory way.Results obtained from the research say that:graded materials can reduce the concentrated stress on the interface in an effective way and weaken the effect of initial defect in materials and thereby improve the strength and toughness of materials.
-
Key words:
- graded materials /
- multiweb structure /
- buckling /
- heterogeneous
-
[1] Eshelby D.The determination of the elastic field of ellipsoidal inclusion,and related problems[J].Roy Soc,1957,24(3):376—396. [2] Ahmed K,Burton W S.Three-dimensional solutions for antisymmetrically laminated anisotropic plates[J].Apply Physics Letter,2002,512(1):182—188. [3] Pell W H.Thermal deflections of anisotropic thin plates[J].Apply Mathmethic,1996,58(1):27—44. [4] 李永,宋健,张志民.梯度功能力学(清华大学学术专著)[M].北京:清华大学出版社, 2003,53—69. [5] Whitney J M,Pagano N J.Shear deformation in heterogeneous anisotropic plates[J].Appl Mech,1970,37(4):1031—1036. doi: 10.1115/1.3408654 [6] 李永,宋健,张志民.梯度功能材料结构的广义当量反对称弯曲理论[J].中国科学,E辑,2002,32(4):433—441. [7] Coffen F.Mechanics problem in FGM layers under thermal stress[J].J Thermal Stress,1996,20(4):237—265.
计量
- 文章访问数: 2159
- HTML全文浏览量: 84
- PDF下载量: 680
- 被引次数: 0