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本文将摄动、边界元、有限元方法结合起来,提出一种求解线性蠕变问题的新方法。该方法不采用一般增量法中在一个时段内各物理量保持不变或作线性变化的假设,加大了计算步长提高了精度。文中构造了边界元摄动格式,构造了包含钢筋在内的边界元有限元耦合摄动格式,并给出了满意的数值结果。 相似文献
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在应力和应变成线性关系时,应用弹性-蠕变体理论于具体工程问题一般归结为求解第二类伏尔泰勒积分方程或一组积分-微分方程,或化为求解一组变系数微分方程.当应力与应变为非线性关系时,常归结为求解非线性积分方程,或化为求解一组非线性变系数微分方程.这在数学上都将遇到很大困难,因而往往都用数值解法.这样,寻求有足够精度的近似解成为十分必要.另一方面,或许是更重要的,这就是用有限元法来求解蠕变问题.与弹性理论有限元问题相似,在有限元中引入广义变分原理将大大地促进有限元法的发展,本文将为这两方面提供条件. 相似文献
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文本考虑了混凝士收缩、蠕变和钢筋松弛的相互影响,用拟协调元法进行预应力混凝土双向板的挠度计算,编制成电算程序,并给出了算例。 相似文献
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建议了二维蠕变损伤问题的有效模量法,基于热动理论提出了一个损伤演化方程,给出有效模量法和有交应力法的有限元解,并对两种方法进行了数值比较。 相似文献
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IntroductionAnumberofmaterialsinengineeringcanbeclassifiedinthecatalogofviscoelasticity ,includingrock ,soil,polymer,andER MRmaterialsetc .[Christensen 1 982 [1],TAO 1 999[2 ]] .Thedynamicanalysisofviscoelasticproblemsisrelatedtothetimedependentsolutions.Eventhoughdi… 相似文献
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In this paper, amethod (PFMC) for solving plane problem of linear creep is presented by using perturbation finite element. It can be used in plane problem in consideration of creep, such as reinforced concrete beam, prestressed concrete beam, reinforced concrete cylinder and reinforced concrete tunnel in elastic or visco-elastic medium, as well as underground building and so on. In the presented method, the assumption made in the general increment method that variables remain constant in a divtded time interval is not taken. The accuracy is improved and the length of time step becomes larger. The computer storage can be reduced and the calculating efficiency can be increased. Perturbation finite element formulae for four-node quadrilateral isoparametric element including reinforcement are established and five numerical examples are given. As contrasted with the analytical solution, the accuracy is satisfactory. 相似文献