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 himodular 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.