摘要
夹层板由两块高强度表层板和较软的中间夹心层组成,表层剪切刚度大,夹层剪切刚度小.这些特点将会给夹层板层间应力分析增加难度.为此推导了角铺设1,2-3高阶剪切变形理论,这一理论满足层间位移、应力连续条件和自由表面条件,并且未知量个数独立于夹层板的层数.基于此理论建立了满足C1连续条件的三节点三角形单元并用于夹层板结构层间应力分析.计算结果表明:根据推导的三角形单元,由求得的应变可以精确计算层间横向剪切应力和面内应力,进一步地,采用平衡方程后处理方法可以准确地计算层间法向应力.
The sandwich plates are composed of two very stiff surface sheets and a comparatively flexible core material. The bending analysis of the sandwich plates is difficult to carry out due to the abrupt variation of strain components between the the 1,2-3 double-superposition theory proposed, surface and the core regions of the plate. Based on a global-local higher-order theory for angle-ply laminated plates is derived. This theory fully satisfies the free surface conditions and the geometric and stress continuity conditions at interfaces. The number of unknowns of the higher-order theory is independent of the layer numbers of the composite laminate. Based on the higher-order theory, a three noded triangular element is presented. This element satisfies the interelement C^1 continuity conditions. Numerical results show that in-plane stresses and transverse shear stresses can be accurately calculated by the direct constitutive equation approach. In order to obtain transverse normal stresses, the equilibrium equation approach is employed.
出处
《大连理工大学学报》
EI
CAS
CSCD
北大核心
2006年第3期313-318,共6页
Journal of Dalian University of Technology
基金
国家自然科学基金资助项目(10172023)
关键词
夹层板
层间应力
高阶剪切变形理论
三角形板单元
sandwich plates
interlaminar stress
higher-order shear deformation theory
triangular element
