| A FINITE ELEMENT—MATHEMATICAL PROGRAMMING METHOD FOR ELASTOPLASTIC PROBLEMS BASED ON THE PRINCIPLE OF VIRTUAL WORK |
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| 引用本文： | 朱昌铭,金永杰.A FINITE ELEMENT—MATHEMATICAL PROGRAMMING METHOD FOR ELASTOPLASTIC PROBLEMS BASED ON THE PRINCIPLE OF VIRTUAL WORK[J].应用数学和力学(英文版),1993(7). |
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| 作者姓名： | 朱昌铭 金永杰 |
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| 作者单位： | Dept. of Eng. Mech.，Shanghai Jiao Tong Univ.，Shanghai.，Dept. of Eng. Mech.，Shanghai Jiao Tong Univ.，Shanghai. |
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| 基金项目： | National Natural Science Foundation of China |
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| 摘 要： | By expanding the yielding function according to Tay lor series and neglecting the high order terms,the elastoplastic constitutive equation is written in a linear complementary form.Based on this linear complementary form and the principle of virtual work,a finite element-complementary method is derived for elastoplastic problem.This method is available for materials which satisfy either associated or nonassociated flow rule.In addition,the existence and uniqueness of solution for the method are also discussed and some useful conclusions are given.
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A FINITE ELEMENT--MATHEMATICAL PROGRAMMING METHOD FOR ELASTOPLASTIC PROBLEMS BASED ON THE PRINCIPLE OF VIRTUAL WORK |
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| Zhu Chang-ming Jin Yong-jie.A FINITE ELEMENT--MATHEMATICAL PROGRAMMING METHOD FOR ELASTOPLASTIC PROBLEMS BASED ON THE PRINCIPLE OF VIRTUAL WORK[J].Applied Mathematics and Mechanics(English Edition),1993(7). |
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| Authors: | Zhu Chang-ming Jin Yong-jie |
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| Abstract: | By expanding the yielding function according toTaylor series and neglecting the high order terms, the elastoplastic constitutive equation is written in a linear complementary form. Based on this linear complementary form and the principle of virtual work, a finite element-complementary method is derived for elastoplastic problem. This method is available for materials which satisfy either associated or nonassociated flow rule. In addition, the existence and uniqueness oj solution for the method are also discussed and some useful conclusions are given. |
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| Keywords: | elastoplasticity principle of virtual work mathematical programming FEM |
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