Numerical simulation of stress intensity factors via the thermoelastic technique

The purpose of this study is to investigate the accuracy of the least squares method for finding the in-plane stress intensity factorsK _I andK _II using thermoelastic data from isotropic materials. To fully understand the idealized condition ofK _I andK _II calculated from thermoelastic experiments, the total stress field calculated from finite element analysis is used to take the place of data obtained from real thermoelastic experiments. In the finite element analysis, theJ-integral is also calculated to compare with (K _I ² +K _II ² )/E evaluated by the least squares method. The stress fields near the crack tip are dominated by the two stress intensity factors; however, the edge effect will cause inaccuracy of the thermoelastic data near the crack tip. Furthermore, the scan area of thermoelastic experiments cannot be too small. Therefore, we suggest that three or four terms of stress function be included in the least squares method for evaluating stress intensity factors via the thermoelastic technique. In the idealized condition, the error can be smaller than 3 percent from our numerical simulations. If only ther ^–1/2 term (K _I andK _II ) is included in the least squares method, even in the idealized case the error can be up to 20 percent.     

Allowance for Temperature Sensitivity in the Problem of Diagnostics of Thermoelastic Media

The problem of determining thermomechanical characteristics of a medium, which are functions of spatial variables and temperature, from the values of characteristics of thermoelastic processes measured at the halfspace boundary is considered. An approach to solving the problem, based on the use of the method of perturbations, is proposed.     

耦合热弹性接触问题的变分原理

本文给出了考虑库伦摩擦力的热弹性接触问题的一个变分原理，该变分原理在约束条件Ｐｎ≥０和－μＰｎ≤Ｐｔ≤μＰｎ下，在接触边界上自动给出导热条件及剩余互补条件等。从它出发将接触弹性体离散后可直接进行二次规划求解。文中特地引进了因子β，它计及了接触问题中的热量散失和功率损耗     

A two-dimensional generalized thermo-hydro-mechanical-coupled problem for a poroelastic half-space

ABSTRACT

This study investigated the effects of coupled thermo-hydro- mechanical dynamics on an isotropic, uniform, fully saturated, and poroelastic half-space subgrade whose surface is subjected to either mechanical force or thermal load. In this paper, our formulation is deduced in the context of two theories of generalized thermoelasticity: the Lord-Shulman theory and the Green-Lindsay theory. We then deduce the general relationships among non-dimensional vertical displacement, excess pore water pressure, vertical stress, and temperature distribution using Normal Mode Analysis (NMA) and depict them graphically. NMA is a method using weighted residuals to derive analytical solutions and can thus solve partial differential equations more quickly compared to other methods. This study continues our work of applying NMA to derive theoretical results in the multi-field coupling of soil. Following the analysis, the theoretical results are illustrated with a numerical example and a Maple program is developed. Furthermore, the differences between the coupled thermo-hydro-mechanical dynamic model (THMD) and the thermo-elastic dynamic model (TED) are presented. This proposed derivation method can be widely applied in the geotechnical engineering field, especially with regard to the mechanical and thermal behaviors of commercial buildings, high-speed railways, and highway energy foundations.     

The weak damped oscillation in a random medium

The paper gives a solution of the random differential equation with random coefficient, that is , where K (t) is a random process and is a damp coefficient, it is a little parameter.     

Stress separation of thermoelastically measured isopachics

Knowledge of individual stresses is necessary for the quantitative evaluation of engineering components. A finite element type scheme is described for accurately and efficiently separating measured isopachic data into individual in-plane stress components. Although the governing equations require complete boundary conditions to be well posed, illustrative examples demonstrate the method's ability to provide accurate individual stresses throughout a member using incomplete boundary conditions.     

Performance of the FAST system for stress analysis

A state-of-the-art thermographic system has been developed based on a 512×512 focal-plane array thermal imager. The system was primarily designed to perform stress analysis, but has applications in other areas where small cyclic temperature variations are encountered. A detailed analysis of its performance relative to an existing equipment (SPATE) revealed that, at least for low frequency applications, the proposed system out performs SPATE by some two to three orders of magnitude such that high-resolution area scans can now be achieved in minutes instead of hours. It is suggested that higher frequency applications (i.e., order of 10² Hz) can be achieved with more up-to-date imagers.Permission has been granted toExperimental Mechanics to publish this paper on a nonexclusive one-time basis only. This agreement is subject to the Commonwealth of Australia retaining Copyright of the paper, the author and source of the paper has been acknowledged. No meaningful changes have been made to the article without the prior consent of the author.     

RESPONSE OF MICROPOLAR THERMOELASTIC SOLID WITH VOIDS DUE TO VARIOUS SOURCES UNDER GREEN NAGHDI THEORY

Green-Naghdi (G-N) theory of thermoelasticity is employed to study the deformation of micropolar thermoelastic solid with voids considering the influence of varions sources acting on the plane surface....     

疲劳特性的红外热像定量分析方法研究进展

定量红外热像法, 作为一种无损、全场、实时、非接触的测试手段, 不仅能够用于对材料内部缺陷的无损检测, 而且能够对在役结构的疲劳损伤演化状态进行识别. 定量红外热像法还能够快速预测材料的疲劳极限和S-N (stress-number of cycles) 曲线, 实验周期短, 成本低. 文中较为系统地综述了定量红外热像法的发展现状及应用, 讨论了定量红外热像法应用过程中的几个重点问题. 最后总结展望了定量红外热像法的未来发展方向及应用前景.     

PVT法生长SiC过程生长界面形状对热应力的影响

PVT法生长SiC过程中晶体内部的热应力是其位错产生的主要原因,而生长界面的形状对晶体热应力及缺陷的产生都有一定影响.本文对不同生长界面晶体的温场及应力场进行了数值分析,结果显示相对于凸出及平整界面的晶体,微凹界面晶体的轴向温差最小,同时产生缺陷的切应力Τrz及引起开裂的径向正应力σrr值都为最小.