| 杨海天,朱应利.光滑函数法求解拉压不同弹性模量问题[J].计算力学学报,2006,23(1):19~23 |
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| 光滑函数法求解拉压不同弹性模量问题 |
| Solving elasticity problems with bi-modulus via a smoothing technique |
| 修订日期：2004-03-29 |
| DOI：10.7511/jslx20061004 |
| 中文关键词: 不同弹性模量 光滑函数 初应力法 有限元 热应力 |
| 英文关键词:dual extension-compression modulus,smooth function,initial stress,finite element,thermal stress |
| 基金项目:中国科学院资助项目;科技部科研项目;辽宁省高等学校中青年学科带头人基金 |
| 杨海天 朱应利 |
| [1]大连理工大学工业装备结构分析国家重点实验室工程力学系,大连116023 [2]山东科技大学机械电子工程学院,青岛266510 |
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| 中文摘要: |
| 采用光滑函数技术．对拉压不同弹性模量问题的应力应变关系进行光滑处理，可避免迭代中应力状态的判断，方便计算。同时建立了相应的基于初应力技术的有限元计算模武，仅需对刚度阵三角化一次，避免了考虑剪切刚度带来的不便。文中通过不同算例，对所提算法进行了数值验证，与解析解相比有很好符合。此外，对不同拉压模置的热应力分析进行了初步探讨。 |
| 英文摘要: |
| Constitutive non-linearity and discontinuity are dominant difficulties in solving elastic bi-modular problems either analytically or numerically.In this paper,maximum/mimimum functions are utilized to describe the non-linear relationship of stress and strain,and smoothly approximated by a set of entropy principle based smoothing functions.The smoothed constitutive equation is combined with an initial stress scheme to set up a FEM based numerical model that may lead to a higher computing efficiency since the stiffness matrix needs to be triangularized one time only in the whole computing process,and can avoid the inconvenience induced by choosing shear modulus.8-node iso-parameteric finite element is adopted in the computing.A number of numerical examples are presented to verify the proposed algorithm,and compared satisfactorily with other solutions.Additionally,A bi-modular thermal stress analysis is given. |
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