赵 波, 吕振华, 吕毅宁. 基于理论解的三种胶接接头简化有限元单元[J]. 工程力学, 2010, 27(7): 1-009,.
引用本文: 赵 波, 吕振华, 吕毅宁. 基于理论解的三种胶接接头简化有限元单元[J]. 工程力学, 2010, 27(7): 1-009,.
ZHAO Bo, LU Zhen-hua, LU Yi-ning. ENFORCING OF AN THEORETICAL SOLUTION OF THREE ADHESIVE JOINTS INTO SIMPLIFIED FINITE ELEMENT FORMULATIONS FOR STIFFNESS PREDICTION[J]. Engineering Mechanics, 2010, 27(7): 1-009,.
Citation: ZHAO Bo, LU Zhen-hua, LU Yi-ning. ENFORCING OF AN THEORETICAL SOLUTION OF THREE ADHESIVE JOINTS INTO SIMPLIFIED FINITE ELEMENT FORMULATIONS FOR STIFFNESS PREDICTION[J]. Engineering Mechanics, 2010, 27(7): 1-009,.

基于理论解的三种胶接接头简化有限元单元

ENFORCING OF AN THEORETICAL SOLUTION OF THREE ADHESIVE JOINTS INTO SIMPLIFIED FINITE ELEMENT FORMULATIONS FOR STIFFNESS PREDICTION

  • 摘要: 建立了非对称胶接接头位移理论,它能严格满足包括胶层端头剪应力为零在内的所有边界条件。由于上被粘物、下被粘物具有不同材料和厚度,研究非对称胶接接头更具一般性。以位移理论解为基础,通过一组特定位移约束条件确立了被粘物纵向和横向位移函数,获得了非对称T形、L形和单搭接接头简化有限元单元的单元刚度矩阵。这些胶接接头简化单元能大幅降低整体有限元模型的自由度数量,避免以往胶层单元胶层厚度估计过大的不足,并考虑了被粘物间连续传力的特性,更适于大型有限元模型中对胶接接头的简化建模。精细有限元模型的数值验证表明,三种胶接接头简化有限元单元精度很好,使其应用到诸如汽车白车身、飞机等大型有限元模型中成为可能。

     

    Abstract: A general displacement theory is proposed for unsymmetrical adhesive joints, for which the two adherends could have different thicknesses and consist of different materials. Hence this analysis is more general than that of the joints with similar adherends. This approach is capable of satisfying all the boundary conditions of stress equilibrium in the joint, including the zero shear stress condition at the ends of the bondline. Then, through the use of particular boundary displacement conditions on the basis of the displacement theory developed, the stiffness matrices of three simplified finite elements are obtained for structural adhesive joints, including the T-type, L-type and single-lap joints. The adhesive joint elements can consider the continuous nature of load transfer between two adherends, reduce the number of degree-of-freedom dramatically and prevent the modeling deficiency in previous adhesive elements that an adhesive layer was modeled much thicker than its actual size due to offset nodes. The three simplified finite elements were verified in the numerical experiments, respectively. A fairly good agreement is observed between the simple and refined model results. The adhesive joint models have potential to be applied in the large-scale finite element models such as automotive and aircraft structures.

     

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