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利用三重尺度方法对一类小周期椭圆方程进行了三重尺度渐近展开分析,构造了对应的三重尺度形式渐近展开式,得到了均匀化常数和均匀化方程.在形式渐近展开的基础上,构造了对应边值问题解的三重尺度渐近近似解,并分析了对应三重尺度形式渐近误差估计. 相似文献
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The prediction of the mechanical and electric properties of piezoelectric fibre composites has become an active research area in recent years. By means of introducing a boundary layer problem, some new kinds of two-scale finite element methods for solutions to the electric potential and the displacement for composite material in periodic struc- ture under the coupled piezoelectricity are derived. The coupled two-scale relation of the electric potential and the displacement is set up, and some finite element... 相似文献
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Multi-scale analysis for the structure of composite materials with small periodic configuration under condition of coupled thermoelasticity 总被引:1,自引:0,他引:1
The two-scale asymptotic expression of the solution for the increment of temperature in a structure with a small periodic
configuration is presented first, and the two-scale asymptotic expression of the displacement for the structure under the
coupled thermoelasticity condition is then derived in this paper. In the asymptotic expressions the two-scale coupled relation
between the increment of temperature and displacement is included. The approximate solutions and its error estimations are
given.
The project supported by the National Natural Science Foundation of China (19932030) and Special Funds for Major State Basic
Research Projects 相似文献
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硅是微电子机械系统(简称微机电系统)中最常见的功能结构材料,可靠性是制约硅微构件小尺度加工和大规模制造的瓶颈问题.为研究硅微构件的力学特性,本文开发了一套以压电驱动、微力测量、位移检测为核心组件的片外测试系统.设计了一种将四个弯曲测试梁集于一体的微结构,借助有限元方法确定其尺寸,并用理论方法验证有限元分析的合理性.本文着重确保了四个关键设计目标:一、每根测试梁最大应力应位于其与外框架结合处;二、未断裂测试梁的最大应力受其他梁的断裂的影响应足够小;三、各个测试梁的最大应力的差别应足够小;四、支撑梁的最大应力应明显小于测试梁.最后测试了试样的弯曲强度,实验加载曲线和有限元分析基本吻合,表明测试装置和试样设计是合理的,为后续的硅微构件可靠性测试奠定了基础. 相似文献
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The prediction of the mechanical and electric properties of piezoelectric fibre composites has become an active research area
in recent years. By means of introducing a boundary layer problem, some new kinds of two-scale finite element methods for
solutions to the electric potential and the displacement for composite material in periodic structure under the coupled piezoelectricity
are derived. The coupled two-scale relation of the electric potential and the displacement is set up, and some finite element
approximate estimates and numerical examples which show the effectiveness of the method are presented. 相似文献
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In this paper, the multi-scale computational method for a structure of composite materials with a small periodic configuration
under the coupled thermoelasticity condition is presented. The two-scale asymptotic (TSA) expression of the displacement and
the increment of temperature for composite materials with a small periodic configuration under the condition of thermoelasticity
are briefly shown at first, then the multi-scale finite element algorithms based on TSA are discussed. Finally the numerical
results evaluated by the multi-scale computational method are shown. It demonstrates that the basic configuration and the
increment of temperature strongly influence the local strains and local stresses inside a basic cell.
The project supported by the National Natural Science Foundation of China (19932030) and Special Funds for Major State Basic
Research Projects 相似文献
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