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By expanding the yielding function according to Taylor 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.
The project is supported by the National Natural Science Foundation of China 相似文献
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本文从虚功原理出发,给出了 Timoshenko 梁不分层弹塑性有限元分析的一种无迭代算法——线性互补方法.该法精度高,计算量少,对于线性强化材料,若无卸载,只需一个载荷增量步即可求得解答. 相似文献
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基于虚功原理的弹性接触问题的线性互补方法 总被引:10,自引:1,他引:10
在将接触条件表为具有惩罚因子的线性互补形式后,本文详细推导了适用于弹性接触问题的虚功方程,在此基础上,结合有限元离散技术,简捷地导出了一种求解有摩擦弹性接触问题的线性互补方法;这种方法不必迭代,在无卸载时,只要一个增量步即可求得解答,计算效率较高,文末通过实例,说明了方法的正确性及有效性。 相似文献
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A FINITE ELEMENT—MATHEMATICAL PROGRAMMING METHOD FOR ELASTOPLASTIC PROBLEMS BASED ON THE PRINCIPLE OF VIRTUAL WORK 总被引:1,自引:1,他引:0
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. 相似文献
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本文采用考虑横向剪切变形影响的Mindlin理论,结合本文作者改进的非均匀强化塑性理论,计及混凝土的拉伸开裂、开裂后的骨科咬合和钢筋的屈服,对钢筋混凝土板进行加载全过程分析。最后通过若干实例考核了理论及程序的有效性、可靠性。 相似文献
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一种基于虚功原理的求解弹塑性问题的有限元——数学规划法* 总被引:1,自引:1,他引:0
本文通过将屈服函数按台劳级数展开,并略去二阶以上高阶项,从而将弹塑性本构方程写为线性互补形式这一思路,从熟知的虚功原理出发,结合有限元离散技术,简捷地得到了一种求解弹塑性力学问题的线性互补方法.所得方法可用于满足关联及非关联流动法则的材料.另外,本文还讨论了该方法解的存在性唯一性问题,给出了几个有用的结论. 相似文献
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本文介绍了RF溅射镀敷MoS_2润滑膜的特点、应用前景、成膜的基本原理及其制备工艺。并给出了这种膜在空气和真空条件下的滑动摩擦试验机上所测得的摩擦和耐磨性能结果及利用电子显微镜、电子衍射观察和分析膜的结构和表面形态,用俄歇电子谱仪(AES)对膜中的MpS_2和原料MoS_2的硫-钼比进行分析的结果。结果表明MoS_2溅射膜具有良好的润滑性能和一定的耐磨寿命,在这种膜中既含有“结晶型”结构的MoS_2,又含有非晶态的MoS_2,它的硫-钼比与原料MoS_2相比未发生明显的变化。 相似文献
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