HOMOGENIZATION—BASED TOPOLOGY DESIGN FOR PURE TORSION OF COMPOSITE SHAFTS

In conjunction with the homogenization theory and the finite element method, the mathematical models for designing the corss-section of composite shafts by maximizing the torsion rigidity are developed in this paper. To obtain the extremal torsion rigidity, both the cross-section of the macro scale shaft and the representative microstructure of the composite material are optimized using the new models. The micro scale computational model addresses the problem of finding the periodic microstructures with extreme shear moduli. The optimal microstructure obtained with the new model and the homogenization method can be used to improve and optimize natural or artificial materials. In order to be more practical for engineering applications, cellular materials rather than ranked materials are used in the optimal process in the existence of optimal bounds for the elastic properties. Moreover, the macro scale model is proposed to optimize the cross-section of the torsional shaft based on the tailared composites. The validating optimal results show that the models are very effective in obtaining composites with extreme elastic properties, and the cross-section of the composite shaft with the extremal torsion rigidity. The project supported by the National Natural Science Foundation of China (10172078 and 10102018)     

圆弧曲线的一种直接放样法——“弦点法”

在土木、建筑工程的施工中,常遇到圆弧曲线的现场放样问题,即已知弦长和拱高,求作圆弧大样.这类问题看起来很简单,但是在实际上,由于各种施工条件的限制,不可能象几何作图那样,圆规一转就出来了.例如,在剧场工程中(图1),观众席位根据建筑设     

Plastic limit analysis of incompatible finite element method

This paper describes an incompatible finite element model satisfying the consistencycondition of energy to solve the numerical precision problem of finite element solution inperfectly plastic analysis.In this paper the reason and criterion of the application of themodel to plastic limit analysis are discussed,and an algorithm of computing plastic limitload is given.     

基于Hellinger-Reissner变分原理的应变梯度杂交元设计

从一般的偶应力理论出发,基于Hellinger-Reissner变分原理,通过对有限元 离散体系的位移试解引入非协调位移函数,得到了偶应力理论下有限元离散系统的能量相容 条件,并由此建立了应变梯度杂交元的应力函数优化条件. 根据该优化条件,构造了一 个C0类的平面4节点梯度杂交元,数值结果表明,该单元对可压缩和不可压缩状态的 梯度材料均可给出合理的数值结果,再现材料的尺度效应.     

Optimizing formulation of hybrid model for thin and moderately thick plates

A 20 — DOF hybrid stress element based upon Mindlin plate theory is developed using the optimization design method for thin and moderately thick plates. Numerical tests consist of the convergency and performance to the plates with arbitrary thickness and shape and of the ultimate thin plate problems.Projects Supported by the National Natural Science Foundation of China.     

A new quadrilateral nonconforming model and its convergence

This paper presents a new quadrilateral nonconforming finite element. We deal with its convergence by using generalized patch test T error on stresses and displacements are obtained and numerical computations for plane elastic problems are given.     

一类铁电模型的参变量变分原理及其应用

将参变量变分原理引入铁电问题。对一类借用了经典弹塑性理论中的概念和方法的多轴铁电模型建立基于Helmholtz自由能的参变量变分原理,可以有效处理传统变分原理中由非关联流动法则或屈服面不考虑材料系数变化所引起的切线模量非对称困难。相应于参变量变分原理,引入参数二次规划算法,可获得具有可靠数值稳定性的一套铁电算法。将该算法应用于一个具体的铁电模型,数值计算结果表明本文方法的有效性。     

A NEW QUADRILATERAL NONCONFORMING MODEL AND ITS CONVERGENCE

This paper presents a new quadrilateral nonconforming finite element.We deal with itsconvergence by using generalized patch test.The error on stresses and displacements areobtained and numerical computations for plane elastic problems are given.     

用于ESR谱仪上的简易拉伸装置及其应用

电子自旋共振(ESR)结合自旋探针方法研究高聚物体系已有大量报道,而目前应用于高聚物的拉伸过程研究仅限于静态测试,即样品先经拉伸后再被转入到ESR仪中测定。对一些具有快速松弛特性的材料研究,静态测试技术有着很大的误差和局限性。虽然可直接从国外引进ESR仪的拉伸裂置,但费用昂贵,同时由于设备结构复杂,拆装不能灵活,故使测定工作也受影响。