Continuous finite element methods for Reissner-Mindlin plate problem

On triangle or quadrilateral meshes, two finite element methods are proposed for solving the Reissner-Mindlin plate problem either by augmenting the Galerkin formulation or modifying the plate-thickness. In these methods, the transverse displacement is approximated by conforming (bi)linear macroelements or (bi)quadratic elements, and the rotation by conforming (bi)linear elements. The shear stress can be locally computed from transverse displacement and rotation. Uniform in plate thickness, optimal error bounds are obtained for the transverse displacement, rotation, and shear stress in their natural norms. Numerical results are presented to illustrate the theoretical results.     

氟离子对TiO2/膨润土光催化降解酸性桃红的影响

研究了在紫外光照射下, 添加氟离子对P25(锐钛矿)和TiO2/膨润土光催化降解酸性桃红(SRB)的影响. 紫外可见光谱测定结果表明无氟的反应体系, pH值越小, 光降解速率越快; pH值固定, 添加氟离子越多, 反应速率越快, 在TiO2/膨润土催化剂上, 当氟离子浓度达到一定程度时, 反应速率不再变化. 在P25和TiO2/膨润土催化剂上, 添加氟离子对H2O2的产生量影响不同, 通过电子顺磁共振(EPR)技术探测到了超氧自由基和羟基自由基, 这两个体系添加氟离子对其产生强度影响不同, 这可能是因为TiO2/膨润土催化剂为层状结构, BET 比表面积较大, 经XRD和TEM测试表明其晶粒直径约为57.9 nm. TiO2/膨润土催化剂连续循环使用11次, 光催化活性基本不变, 这个现象说明TiO2/膨润土催化剂既易于从分散体系中分离出来, 而且其稳定性也好, 它是一个有应用前途的催化剂.