How to improve efficiency and robustness of the Newton method in geometrically non-linear structural problem discretized via displacement-based finite elements

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• 作者：Domenico Magisano ; ^{domenico.magisano@hotmail.it} ; Leonardo Leonetti ^{leonardo.leonetti@unical.it} ; Giovanni Garcea ^{giovanni.garcea@unical.it}
• 关键词：Geometric non-linearities ; Finite deformation ; Path-following ; Displacement FE ; Integration points ; MIP Newton
• 刊名：Computer Methods in Applied Mechanics and Engineering
• 出版年：2017
• 出版时间：1 January 2017
• 年：2017
• 卷：313
• 期：Complete
• 页码：986-1005
• 全文大小：1077 K
• 卷排序：313

文摘

The proposed strategy improves the Newton method in geometric non-linear analysis. It can be used with displacement-based finite elements and is called MIP Newton. The main idea is to relax the constitutive equations at each integration point. MIP Newton converges faster and withstands larger increments. Its implementation in existing codes is very easy.