基于反平面剪切模型的含分层双金属板片条合成能量解法及其与有限元解的比较

基于反平面剪切模型, 求解得到受出面载荷含分层双金属梁的位移解答, 利用片条合成能量解法构造含分层双金属板附加位移模态, 得到闭合解。利用有限元软件ANSYS建立含对称、非对称矩形分层双金属板有限元模型, 采用接触元模拟非对称分层区, 得到有限元解。结果表明, 与弯曲型闭合解相比, 反平面剪切型闭合解与有限元解更接近。 

Comparison between finite element solution and closed solution based on anti-plane shear model on bimetal laminate with delamination

In order to validate the superiority of anti-plane shear closed solution to bend closed solution, two different methods were used. By means of the principle of superposition, the problem of bimetal laminate with delamination was predigested to the additional displacements of the original objects subjected to additional shear loading along the delamination surfaces. Using the mode of anti-plane shear to get the closed solution of additional displacement of transverse shear loading slice, the closed solution of additional displacements mode of the bimetal laminate with rectangular delamination was obtained by the method of state decomposition and slice composition in which the slice loaded longitudinal shear was caused by the mode of bend.  The finite element model of bimetal laminate with symmetrical or asymmetrical delamination was established in ANSYS to get numerical solution. Contact element was used to simulate the asymmetric delamination surface. Finally, according to comparing closed solution with finite element solution, correctness of closed solutions and feasibility of numerical simulation model is proved, furthermore, according to taking shear into account the anti-plane shear closed solution is testified more accurate than the bend one.