Adaptive nodeless variable finite elements with flux-based formulation for thermal-structural analysis

• 来源期刊: 力学学报（英文版）
• 年，卷（期）: 2008,（2）
• 页码范围: 181-188
• 页数: 8页
• 语种: 英文
• DOI: 10.1007/s10409-008-0129-7

摘要

A nodeless variable element method with the flux-based formulation is developed to analyze two-dimensional thermal-structural problems. The nodeless variable formula-tion provides accurate temperature distributions to yield more accurate thermal stress solutions. The flux-based formula-tion is used to reduce the complexity in deriving the finite element equations as compared to the conventional finite element method. The solution accuracy is further improved by implementing an adaptive meshing technique to generate finite element meshes that can adapt and move along with the transient solution behavior. A version of a nearly opti- mal element size determination is proposed to provide high convergence rate of the predicted solutions. The combined procedure is evaluated by solving several thermal, structural,and thermal stress problems.