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| Application of dynamic relaxation method in finite element static-solution of strain-softening-type structure |
| Received:February 26, 2017 Revised:April 17, 2017 |
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| DOI：10.7511/jslx20170226001 |
| KeyWord:non-linear finite element static analysis strain softening dynamic relaxation method |
| Author | Institution |
| 王伟 |
同济大学 土木工程学院, 上海 |
| 苏小卒 |
同济大学 土木工程学院, 上海 |
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| Abstract: |
| In non-linear static analysis of structures with strain softening materials,the solution process often loses well-posedness of the problem,leading to divergence of the finite element analysis process.In order to solve this problem,we use the dynamic relaxation method (DRM) to solve the static increments in the incremental solution procedure of damage type softening structure by further developing relevant research,so that the solution process becomes convergent.Our method is based on two principles:the first principle is that any problem of definite solution defined on the time domain will be well-posed and solvable as described in the Encyclopedia of Mathematics published in former Soviet Union,and the second principle is that the static solution of a mass system can be the stable part of its dynamic solution as is the principle used in DRM.Moreover,in DRM there is no need to assemble and invert the stiffness matrix as in implicit-static-analysis such that the associated computational cost is removed.The ascending-branch of static equilibrium path is solved by load increments,while the peak-point and the descending-branch are solved by displacement increments.Two numerical examples demonstrate the effectiveness of such an application of DRM in the finite element analysis of static equilibrium path of strain-softening structures. |
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