Theoretical description of thermomechanical effects in high pressure apparatus

Abstract

Numerical calculations are used to study stress-strain state of high pressure apparatus components in compression, heating, cooling and unloading with regard to large elastoplastic deformations, high pressures and temperatures, anisotropy of materials and contact interaction. Regularities of HPA components deformation in the processes under consideration are studied.     

On the direction of development of a thin fracture process zone at the tip of an interfacial crack between dissimilar media

The Wiener-Hopf method is used to study, under the conditions of plane strain, the direction of development of a thin fracture process zone at the tip of an interfacial crack in a piecewise homogeneous isotropic elastoplastic body. The zone is modeled by a straight line of tangential displacement discontinuity that emerges from the crack tip at an angle to the interface. The dependences of the zone length and the angle on the load and other parameters of the problem are investigated __________ Translated from Prikladnaya Mekhanika, Vol. 42, No. 2, pp. 14–23, February 2006.     

底部两层框架-抗震墙砌体房屋的动力计算模型及侧向刚度控制

底部两层框架—抗震墙上部多层砌体房屋,属于混凝土—砌体混合结构的范畴。这种建筑适应城市建设发展的要求,且较纯框架结构经济,特别受到房屋开发商的青睐,在相对落后和不发达地区尤为适用。为了研究这类结构在地震区的适用性,作者在现有试验研究的基础上,分析了底部两层框架—抗震墙砌体房屋在水平地震作用下的力学性能,给出了这种结构的动力计算模型和特征点参数的取值方法,并编制了结构从受荷到破坏的全过程弹塑性分析程序。同时,结合工程实例,计算了六种不同侧向刚度比条件下结构的弹塑性动力反应。根据计算结果的分析,认为新颁布的《建筑抗震设计规范》(GB50011)对于砌体过渡层与第二层框剪层的侧向刚度比限值偏小,并提出了合宜的刚度比取值范围,可供设计人员在抗震设计时参考和借鉴。     

模拟滚弯非稳态过程的虚拟载荷法

采用传统的拉格朗日有限元模型模拟三辊滚弯的非稳态过程时,受到网格数量和接触算法的影响,计算效率难以提高.受计算流体力学的启发,将滚弯机跨内空间视作一维流场,工件挠曲线视作流场中的变量,采用欧拉观点建模,可以大大减小网格数量,同时降低接触处理的难度.将欧拉观点控制方程中的迁移项归结成一个附加的虚拟载荷,将其定义为型材空间构型不变而材料流动导致的内力不平衡量.通过引入该载荷,在经典平面梁单元的基础上稍加修改,得到适于小曲率滚弯模拟的欧拉单元平衡方程.算例表明,在相同网格尺寸下,虚拟载荷法和传统的有限元模拟结果均与理论解吻合良好;但前者的计算效率更高,结果更加光滑可靠.     

Exponential stability for a plate equation with p‐Laplacian and memory terms

This paper is concerned with the energy decay for a class of plate equations with memory and lower order perturbation of p‐Laplacian type, with simply supported boundary condition, where Ω is a bounded domain of , g > 0 is a memory kernel that decays exponentially and f(u) is a nonlinear perturbation. This kind of problem without the memory term models elastoplastic flows. Copyright © 2012 John Wiley & Sons, Ltd.     

弹塑性损伤问题的自洽分析方法

基于不可逆热力学理论和内变量理论，提出平均意义下的Ｃｌａｕｓｉｕｓ＿Ｄｕｈｅｍ不等式方程·与以往弹塑性空洞损伤研究不同，本文旨在利用自洽分析法建立起既考虑空洞形状影响又考虑空洞之间相互作用的场方程，并使之能够处理空洞体积比较大的弹塑性损伤问题·     

各向异性介质中周期性界面裂纹的弹塑性问题

应用富里叶积分变换方法将裂纹边值问题化为对偶积分方程组,再用定积分变换法将问题进一步化为奇异积分方程组,求得了双材料各向异性弹塑性介质中周期性界面裂纹反平面问题的封闭形式解,并作为特例讨论了各向同性双材料问题、各向异性单一材料问题及各向同性—各向异性双材料问题.结果表明:裂纹尖端前沿的塑性区尺寸、裂纹的张开位移(COD)均决定于两种材料流动极限中的较小者及裂纹的长度和相邻两裂纹的间距,此外,COD还与材料模量有关.     

双剪统一弹塑性有限差分方法研究

基于拉格朗日有限差分方法,建立了双剪统一弹塑性有限差分计算格式,并利用VC++语言编写动态链接库文件将双剪统一弹塑性模型导入拉格朗日有限差分程序FLAC(Fast Lagrangian Analysis of Continua)中进行计算分析。双剪统一弹塑性有限差分方法可以模拟复杂应力状态下结构的渐进破坏,无需形成刚度矩阵,对于材料非线性问题无需进行迭代计算,因此在理论和工程应用中都有积极的意义。本文利用双剪统一弹塑性有限差分方法对拉压强度不等材料的厚壁圆筒受内压、中心带孔板条受拉压、条形基础下的地基极限分析及边坡问题进行了数值分析并与滑移线场等解析方法计算结果进行对比,结果均吻合较好。     

One formulation of the problem of elastoplastic separation

The problem of the beginning of motion of a cut in a plane under symmetric external loading is considered. The material lying on the cut continuation forms a layer (interaction layer). A transition to a plastic state within the layer is assumed to be possible. The behavior of the layer is described by an ideally elastoplastic model, and the plane outside the layer is assumed to be linearly elastic. A system of boundary integral equations for determining the stress-strain state is derived. Based on this system, a discrete model of separation of the layer material is constructed under the assumption of a constant stress-strain state in the element of the interaction layer. The distribution of stresses in the pre-fracture zone is determined. __________ Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 50, No. 4, pp. 187–195, July–August, 2009     

弹体对钢筋混凝土板-钢板的贯穿计算问题

主要讨论了钢筋混凝土板-钢板中箍筋、纵向钢筋和钢板对弹体贯穿过程的影响。根据钢筋混凝土板-钢板多阶段变形与破坏和能量在时间、空间上的分配差异,提出了钢筋混凝土板-钢板的变形与破坏模型,确定了箍筋和钢板对弹体的阻力公式,并将纵向钢筋网等价为薄钢板厚度,从而给出了弹体和贯穿块的运动方程。并通过与弹体贯穿混凝土板过程中弹体的加速度、速度、位移的对比,说明了钢筋混凝土板-钢板中各联系件对弹体在介质贯穿过程中位移场的影响。