A multiscale finite element formulation for axisymmetric elastoplasticity with volumetric locking

Similar to plane strain, axisymmetric stress problem is also highly kinematics constrained. Standard displacement‐based finite element exhibits volumetric locking issue in simulating nearly/fully incompressible material or isochoric plasticity under axisymmetric loading conditions, which severely underestimates the deformation and overestimates the bearing capacity for structural/geotechnical engineering problems. The aim of this paper is to apply variational multiscale method to produce a stabilized mixed displacement–pressure formulation, which can effectively alleviate the volumetric locking issue for axisymmetric stress problem. Both nearly incompressible elasticity and isochoric J₂ elastoplasticity are investigated. First‐order 3‐node triangular and 4‐node quadrilateral elements are tested for locking issues. Several representative simulations are provided to demonstrate the performance of the linear elements, which include the convergence study and comparison with closed‐form solutions. A comparative study with pressure Laplacian stabilized formulation is also presented. Copyright © 2009 John Wiley & Sons, Ltd.     

Dynamic analysis of a cylindrical casing–cement structure in a poroelastic stratum

The transient response of a cylindrical casing–cement structure in a poroelastic stratum under dynamic radial tractions is one of the significant issues during the analysis of downhole operations and the selection of safe material. Based on the Biot theory and general elastic mechanics, this paper gives a set of exact solutions for radial displacement, stresses for the casing–cement system and the pore pressure of the infinite surrounding poroelastic stratum in the Laplace transform space. Solutions are presented for three different types of transient radial loadings acting on the surface of casing, i.e., suddenly applied constant load, gradually applied step load and triangular pulse load. Time domain solutions are obtained using a reliable numerical method of inverse Laplace transforms. A detailed parametric study about the transient response is presented both at the casing–cement interface and the cement–stratum interface, and the distributions of the pore pressure and the effective stresses in the stratum are also examined. Copyright © 2017 John Wiley & Sons, Ltd.     

Evolution and REE geochemistry of Huangsha-Tieshanlong ore-bearing granite

Our studies show that the granite bodies (γ ₅ ^{2 − 1} and γ ₅ ³ ) which constitute the Huangsha-Tieshanlong composite granitic intrusion in Jiangxi are characterized by their similarities in mineral assemblage, petrochemistry, trace element and REE distribution pattern. The values of ΣREE, ΣLREE, ΣHREE, ΣCe/ΣY, δEu and La/Yb apparently decrease from γ ₅ ^{2 − 1a} to γ ₅ ^{2 − 1b} , γ ₅ ³ and γ ₅ ³ . It is shown that the early Yenshanian W(Ta, Nb)-bearing granite (γ ₅ ^{2 − 1} ) and late Yenshanian Ta, Nb-bearing granite (γ ₅ ³ ) may have been derived from the differentiation and evolution of granitic magmas due to repeated remelting of the crust and their earlier and later intrusion. Although the earlier (γ ₅ ^{2 − 1b} and later (γ ₅ ³ ) albitized Ta, Nb-bearing granites show some obvious differences in REE content, their δEu values and La/Yb ratios are similar to each other. Therefore, it may be concluded that the early and late Ta, Nb-bearing granites were derived from a congenetic magma.     

岩浆包裹体化学成分研究

岩浆包裹体化学成分研究难度较大,为了获得可信的数据,应当注意:1.非演化型岩浆包裹体的化学成分可以代表其初始成分。演化型岩浆包裹体应先均一、淬火后再行测定。2.均一演化型岩浆包裹体应严格遵守加热规则,否则过热作用会使包裹体壁部分熔化,造成淬火后所测包裹体成分与其真正的初始成分并不相当。3.实测资料证明,“边界层效应”对于岩浆包裹体化学成分影响微不足道。4.岩浆包裹体的化学成分只能代表其主矿物结晶时周围岩浆的成分,即仅相当于岩浆液相线上的一个点。5。把显微冷热台测温、激光喇曼探针和电子探针分析技术结合使用,对查明单个包裹体中挥发组分的性状和浓度具有很大的潜力和前途。     

关系逻辑与地震预报（三）

继文献1、2讨论了中长期和中短期地震预报问题之后,本文进一步运用关系逻辑探讨短临地震预报问题。基本方法是根据相交关系因子μ值识别地震活动变化型式的逐时活动状态。文中,给出了计算μ值的基本公式和各种二元逻辑关系的μ值,介绍了计算μ值的两种常用方法和在短临地震预报中的具体应用,最后,对有关四个问题作了说明。     

苏、浙、皖地区沉积-大地构造演化

中国南部近东西延伸的扬子板块形成于距今800Ma 前。自震旦纪开始,在其东缘苏、浙、皖地区形成了两个呈北东东向展布的并在其东端相联的裂陷槽。其沉积厚度达万米。沉积演化晚期形成了复理石与磨拉石。复理石堆积于晚奥陶世,此时裂陷槽为两个向东开口的海湾,碎屑物来自盆地南北两侧的扬子古陆。磨拉石堆积的时代从晚奥陶世末到中泥盆世,碎屑物     

求解非线性有限元方程的弧长法及在工程稳定分析中的应用

本文讨论了求解非线性有限元方程弧长法的基本原理及具体实施,并应用于压杆及滑块的稳定性分析。由于弧长法具有确定并通过结构临界应力状态的临界荷载值,因此可以应用于工程稳定性分析。算例表明,弧长法确定的临界荷载值是令人满意的。     

旋转电极法研究盐类溶解─LiCl、NaCl、KCl在水中的溶解动力学

利用旋转盘装置结合离子选择电极研究了ＬｉＣｌ、ＮａＣｌ、ＫＣｌ在２０℃～３５℃水中溶解动力学，得到了溶解动力学方程．     

盐卤硼酸盐化学Ⅹ Ⅹ Ⅴ Ⅱ盐湖卤水酸化过程中硼酸生长速率

本文提出了一种用激光散射跟踪溶液中粒子粒度在不同时间的分布，求取粒子生长速率的简便而可行的方法，得到了大柴旦盐湖卤水在硫酸酸化过程中硼酸晶体的生长速率，并提出解决酸法提础工艺中所得硼酸晶体粒度太小的方法。     

应用土壤水模拟模型研究区域干旱

旨在应用平原地区土壤水模拟模型，给出区域旱精分析所需的干旱信息。以多年平均土壤含水量为判断旱情发生的临界函数，经过统计分析后，提出了一种适用于平原地区分析 区域旱情严重程度的实用方法和拟定评价旱情的定量标准。