本文選題：功能梯度材料 + 正交各向異性��； 參考：《力學(xué)季刊》2016年01期

【摘要】：假設(shè)正交各向異性功能梯度材料的彈性系數(shù)沿圓柱殼的徑向按照任意連續(xù)函數(shù)變化,采用應(yīng)力函數(shù)法和加權(quán)殘值法導(dǎo)出了圓柱殼在非軸對(duì)稱載荷作用下應(yīng)力分析的一種新的數(shù)值解.建立了圓柱殼內(nèi)部應(yīng)力狀態(tài)給定時(shí)材料剪裁問題的基本方程,提出了實(shí)現(xiàn)圓柱殼內(nèi)部一種特殊的應(yīng)力分布時(shí)所需要的材料彈性系數(shù)沿徑向變化的解析解.通過數(shù)值算例驗(yàn)證了本文所導(dǎo)出的應(yīng)力分析的數(shù)值解的正確性和收斂性,分析了彈性系數(shù)沿徑向的變化對(duì)圓柱殼內(nèi)部應(yīng)力分布的影響.數(shù)值算例還給出了實(shí)現(xiàn)圓柱殼內(nèi)部環(huán)向應(yīng)力和切應(yīng)力沿徑向均勻分布時(shí)功能梯度材料的彈性系數(shù)沿徑向的三種不同變化形式.所得研究結(jié)果可為正交各向異性功能梯度材料圓柱殼的設(shè)計(jì)提供一定的參考,同時(shí)材料剪裁的解析結(jié)果也可作為其他數(shù)值方法計(jì)算結(jié)果驗(yàn)證的考題.
[Abstract]:It is assumed that the elastic coefficients of orthotropic functionally graded materials vary along the radial direction of cylindrical shells according to arbitrary continuous functions.A new numerical solution for stress analysis of cylindrical shells under non-axisymmetric loads is derived by using the stress function method and the weighted residual method.In this paper, the basic equation of the timing material cutting problem for the stress state in the cylindrical shell is established, and the analytical solution of the material elastic coefficient changing along the radial direction is proposed to realize a special stress distribution in the cylindrical shell.A numerical example is given to verify the correctness and convergence of the numerical solution of the stress analysis derived in this paper. The influence of the variation of elastic coefficient along the radial direction on the stress distribution in the cylindrical shell is analyzed.Numerical examples are given to show three different variations of the elastic coefficient of functionally graded materials along radial direction when the circular stress and shear stress are uniformly distributed along the radial direction.The results can be used as a reference for the design of orthotropic functionally graded materials cylindrical shells, and the analytical results of material tailoring can also be used as an examination question to verify the results of other numerical methods.
【作者單位】： 同濟(jì)大學(xué)航空航天與力學(xué)學(xué)院;
【基金】：國(guó)家自然科學(xué)基金(11372225)
【分類號(hào)】：O343

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2 黃克智;開口圓柱殼體的極限解[J];土木工程學(xué)報(bào);1957年01期

3 T.E.Hess;朱，

本文編號(hào)：1749031