带有沙漏控制的相对自由度壳元

针对一点积分的八节点相对自由度壳单元存在的沙漏现象,提出采用拟应变法解决该问题的方法,并对锁死问题进行研究.给出了带有沙漏控制的八节点相对自由度壳元内的坐标、位移插值公式,推导了拟应变的表达式,通过Hu-Washizu变分原理,建立了有限元求解方程.利用Wilson非协调位移模式,单元的计算精度得到了明显改善.算例表明:基于八节点相对自由度壳单元,本文给出的沙漏控制算法能够有效的解决线性静力问题,并且具有较高的计算精度.     

A comparative numerical study of combined cold expansion and local torsion on fastener holes

Cold expansion and local torsion processes provide controllable strengthening mechanisms for a fastener hole and therefore have engineering significance. They rely on the residual stress and the accumulated shearing strain, respectively, which are difficult to measure. Due to the complex closed form solutions for these mechanisms, their numerical study is of great importance. In this work, a combination of the cold expansion and the local torsion on a fastener hole has been investigated numerically to evaluate the amount and nature of the total accumulated residual stresses around a fastener hole. Different cases of the cold expansion and the local torsion processes were modelled and studied by finite element simulation to investigate the existence of a loading case which produces a beneficial compressive residual stress field in the vicinity of a hole. Sensitivity of the final residual stress with respect to a range of process parameters including adequate diametral interference and angle of rotation was investigated.     

Mode III crack growth in linear hardening materials with strain gradient effects

The flow-theory version of couple stress strain gradient plasticity is adopted for investigating the asymptotic fields near a steadily propagating crack-tip, under Mode III loading conditions. By incorporating a material characteristic length, typically of the order of few microns for ductile metals, the adopted constitutive model accounts for the microstructure of the material and can capture the strong size effects arising at small scales. The effects of microstructure result in a substantial increase in the singularities of the skew-symmetric stress and couple stress fields, which occurs also for a small hardening coefficient. The symmetric stress field turns out to be non-singular according to the asymptotic solution for the stationary crack problem in linear elastic couple stress materials. The performed asymptotic analysis can provide useful predictions about the increase of the traction level ahead of the crack-tip due to the sole contribution of the rotation gradient, which has been found relevant and non-negligible at the micron scale.     

Reissner-Mindlin板壳无网格法的闭锁与灵敏度分析及优化的研究

该文利用罚函数法施加边界条件,建立了Reissner-Mindlin板壳无网格法的离散形式,通过数值锁死试验,探讨了EFG法、RPIM以及基于节点积分的无网格法在解决Reissner-Mindlin板壳闭锁问题中所存在的优缺点。所得结果表明,基于匹配近似场和节点积分方案的无网格法在处理剪切闭锁问题时具有优越性。然后以SCNI-MLS无网格法为基础,对Reissner-Mindlin板壳结构的尺寸、形状和轮廓设计进行了统一的设计灵敏度分析,结合约束变尺度序列二次规划法,完成了SCNI-MLS无网格法壳结构优化设计的算例,算例结果验证了所建立灵敏度分析的精度和优化方法的可行性。