REISSNER-MINDLIN板的分层杂交应力有限元分析

Elasto-Plastic Analysis of Reissner-Mindlin Plates by Use of Hybrid-Stress FEM with Layered Model

本文由π_(mR)型变分泛函出发,采用沿板厚分层模型,和材料本构的力学子单元模型,对 Reissner-Mindlin C^0类板进行了弹塑性分析。建立了4节点四边形杂交应力元 HPT-9β。数值研究表明,HPT—9β不含过失性多余机动模式,当板厚宽比趋于薄板极限时,亦不发生“自锁”,其计算精度和计算效率皆优于同类的 LH4元(Spilker,1980)。计算工作显示,本文的方法具有随加载过程来描述沿板厚的塑性进展的能力。

Basing on a π_(mR)-typed variational formulation featuring a cross- depth layered model in conjunction with a mechanical subelement simulation for material constitutive,the cross-depth plasticity development of Reissner-Mindlin plate is investigated in pace with the loading process.In this aspect,a 4-node quadrilateral hybrid- stress C^0-continuous plate-bending element HPT-9β is formu- lated.Numerical examinations demonstrate that HPT-9β is free from spurious kinematic mode,it will not cause“locking”as the thin plate limit is approached and yields better numerical results with higher accuracy and computational efficiency than Spilker's LH4.Elasto-plastic analysis of Reissner-Mindlin plates justifies the validity and effectiveness of the present scheme in depicting the cross-depth plasticity development in pace with the loading process.