次弹性力学的一个广义变分原理

本文利用 Truesdell 应力率给出了次弹性力学问题的一个广义变分原理,该原理是在现时构形上以率的形式给出,可用于建立大变形分析中适时的Lagrange 描述有限元公式。     

A dynamical (time-harmonic) axisymmetric stress field in a finitely prestretched multilayered slab on a rigid foundation

Within the framework of a piecewise homogeneous body model, with the use of the three-dimensional linearized theory of elastic waves in initially stressed bodies, the dynamical (time-harmonic) axisymmetric stress field in a finitely prestretched multilayered slab resting on a rigid foundation is studied. It is assumed that the slab consists of two-layer packets. The elasticity of layer materials is described by the Treloar potential. It is assumed that the material of the lower layer in the packets is more rigid than that of the upper one. Numerical results are presented for the cases where the number of layers (packets) in the slab is 2 (1), 4 (2), or 6 (3). These results concern the normal stresses acting on the interface between the layers of the first, upper packet and on the interface between the first and second packets. The influence of the number, prestretch level, and thickness of the layers on relation ships between the stresses and the frequency of the external force is analyzed. Russian translation published in Mekhanika Kompozitnykh Materialov, Vol. 42, No. 5, pp. 667–680, September–October, 2006.     

Enhanced patch test of finite element methods

Theoretically, the constant stress patch test is not rigorous. Also, either the patch test of non-zero constant shear for Mindlin plate problem or non-zero strain gradient curvature of the microstructures cannot be performed. To improve the theory of the patch test, in this paper, based on the variational principle with relaxed continuity requirement of nonconforming element for homogeneous differential equations, the author proposed the individual element condition for passing the patch test and the convergence condition of the element: besides passing the patch test, the element function should include the rigid body modes and constant strain modes and satisfy the weak continuity condition, and no extra zero energy modes occur. Moreover, the author further established a variational principle with relaxed continuity requirement of nonconforming element for inhomogeneous differential equations, the enhanced patch test condition and the individual element condition. To assure the convergence of the element that should pass the enhanced patch test, the element function should include the rigid body modes and non-zero strain modes which satisfied the equilibrium equations, and no spurious zero energy modes occur and should satisfy new weak continuity condition. The theory of the enhanced patch test proposed in this paper can be applied to both homogeneous and inhomogeneous differential equations. Based on this theory, the patch test of the non-zero constant shear stress for Mindlin plate and the C^0–1 patch test of the non-zero constant curvature for the couple stress/strain gradient theory were established.     

Detection of Anomalous Diffusion with Deep Residual Networks

Identification of the diffusion type of molecules in living cells is crucial to deduct their driving forces and hence to get insight into the characteristics of the cells. In this paper, deep residual networks have been used to classify the trajectories of molecules. We started from the well known ResNet architecture, developed for image classification, and carried out a series of numerical experiments to adapt it to detection of diffusion modes. We managed to find a model that has a better accuracy than the initial network, but contains only a small fraction of its parameters. The reduced size significantly shortened the training time of the model. Moreover, the resulting network has less tendency to overfitting and generalizes better to unseen data.     

HL-2M 装置烘烤系统管路应力的仿真分析与优化

根据 HL-2M 装置烘烤系统管路设计,建立烘烤系统的管道应力计算模型。对烘烤系统管路作初始 支架设计,并采用系统内的最高温度分布,对烘烤系统进行热应力计算,分析管道应力及设备管口载荷。以热应 力计算结果为依据,对管路布置进行优化,并改善支架的设计,对烘烤系统进行应力校核计算,完成烘烤系统可 靠性验证计算,完成了管口位移量计算。     

A physics-constrained deep residual network for solving the sine-Gordon equation

Despite some empirical successes for solving nonlinear evolution equations using deep learning,there are several unresolved issues.First,it could not uncover the dynamical behaviors of some equations where highly nonlinear source terms are included very well.Second,the gradient exploding and vanishing problems often occur for the traditional feedforward neural networks.In this paper,we propose a new architecture that combines the deep residual neural network with some underlying physical laws.Using the sine-Gordon equation as an example,we show that the numerical result is in good agreement with the exact soliton solution.In addition,a lot of numerical experiments show that the model is robust under small perturbations to a certain extent.     

粗大柱状晶纯镍热变形流变应力行为及加工图

采用Gleeble-3500热模拟机,在变形温度为950~1 150℃、应变速率为0.001~10s-1的条件下,研究了粗大柱状晶粒纯镍的热变形行为和加工图.结果表明:热压缩过程中流变应力随应变速率增大而增大,随变形温度降低而增大.流变应力与应变速率、变形温度之间的关系用Zener-Hollomon参数来描述,热变形激活能为312.4kJ/mol.基于动态材料模型(DMM)热加工图及结合合金相显微组织分析,得到纯镍较优的热加工参数:变形温度为1 060~1 120℃,应变速率为0.03~0.20s-1的蛋形区域.     

三种中低温余热蒸汽发电系统的比较研究

建立了150~350℃中低温余热蒸汽低沸点有机工质联合循环(S-ORC)发电系统数学模型.比较了相同热源条件下,水蒸气朗肯循环(SRC)、有机朗肯循环(ORC)及S-ORC三种发电系统的热效率、效率、运行压力、发电量.结果表明:150~210℃热源条件下,ORC有着最高的热效率、效率和发电量;210~350℃热源条件下,S-ORC的各项性能有优势,其热效率和效率均高于SRC和ORC发电系统.