Displacement-controlled method and its applications to material non-linearity

作者：Zheng H^*; Liu DF; Lee CF; Tham LG

来源：International Journal for Numerical and Analytical Methods in Geomechanics, 2005, 29(3): 209-226.

DOI：10.1002/nag.410

• finite element analysis
• displacement-controlled method (DCM)
• load-controlled method (LCM)

For the analysis of non-linear problems, the displacement-controlled method (DCM) has a more extensive application scope and more powerful abilities than the load-controlled method (LCM). However, difficulties of the DCM's procedure not amenable to most finite element implementations of the conventional LCM have restricted its applications in geomechanics. By means of Sherman-Morrison's theorem, the solution of DCM is improved. The improved procedure is characterized by high efficiency, good numerical stability and a programme structure similar to LCM. Two aspects of applications of DCM are illustrated. The first application is to compute the response of a structure under a given load level like the conventional finite element analysis. The second application is to trace the equilibrium path of a structure under a given load distribution type. A simple but effective algorithm is presented for automatically adjusting the step length in tracing the equilibrium path. Examples illustrate that the proposed procedures are suited for modelling complicated non-linear problems in geomechanics.

• 出版日期2005-3
• 单位三峡大学