Stress evaluation in low-modulus and viscoelastic materials using phtoelastic glass inclusions

Stressmeters are gages designed to enable stress changes to be determined without the need to know the elasticity moduli of the body being studied. This paper describes a technique by which the magnitude of the greatest principal stress in a biaxial-stress field can be determined from the isochromatic fringe pattern in a hollow-cylindrical-glass stressmeter. The influence of the moduli and Poisson's ratio of the meter and host material on the sensitivity of the meter are discussed in detail. It is shown that, for a wide range of rock and concrete-like materials, a glass stressmeter will enable the stresses to be determined directly from the meter readings. Experiments to investigate the behavior of photoelastic stressmeters in host materials which are creeping under stress are described. Results of tests using frozen sand slabs have shown that under uniaxial stress there is little effect of creep on the meter readings until excessive fracturing occurs. There is also close agreement between the theoretical and experimental values for the meter sensitivity when it is assumed that the Poisson's ratio of the host materials falls to 0.5 during creep. When set in such materials the final sensitivity of the meter is also independent of the modulus of the meter provided that creep is continuous. Experiments are described which show that, in a material which is creeping, the stress can be determined by inserting a stressmeter and measuring the final steady reading.     

近场动力学研究进展与岩石破裂过程模拟

近场动力学（Peridynamics，PD）作为一种新兴的非局部性理论，在非连续处不需要任何处理，能够很好表述模型从连续到非连续的过程。首先，在PD基本理论简介的基础上，系统回顾了PD的国内外研究现状。其次，采用键型PD理论对非均匀性的圆孔岩板单轴拉伸破裂过程进行了二维数值模拟，采用态型PD理论对单轴、常规三轴以及真三轴等不同压缩条件下的岩石破裂过程进行了三维数值模拟，并以加拿大Mine-by隧洞为例对现场岩体破裂过程进行了模拟，结果表明PD在岩石破裂过程模拟上具有较强适用性。最后，指出当前PD在岩石破裂过程模拟中存在的主要问题和未来值得开展的若干研究课题。     

EXPERIMENTAL STUDY OF MECHANICAL PROPERTIES OF WATER-COOLED GRANITE UNDER HIGH TEMPERATURE1)

通过对高温加热-遇水快速冷却后的花岗岩试样进行单轴和三轴实验,研究了800°C内高温花岗岩遇水快速冷却后的力学性质随温度和围压的变化规律。实验结果表明：(1)400°C为高温加热-遇水快速冷却对花岗岩力学性质影响的阈值;(2)同一温度条件下,峰值偏应力、峰值应变随围压的增大而增大;弹性模量随围压的增大先增大后减小;(3)单轴实验中,温度低于400°C时,岩样表现为复合破坏,随着温度的升高破坏形式转变为拉破坏;三轴实验中,岩样整体上表现为剪切破坏。     

On the evaluation of elasto-plastic strains measured with strain gages

The analysis of plane-stress conditions using strain gages is feasible even when the deformations of the materials are in the elasto-plastic range. The calculation of stresses from the measured strain values is based on an analysis which requires knowledge of the stress-strain curve of the material as obtained from a uniaxial tensile test. In this paper, the practical procedure of such an analysis is described together with the application of a nomograph to allow a simplified evaluation to be made of the results of measurements. A numerical example is also given.     

319国道重庆段裸洞隧道灰岩力学特性试验研究

裸洞隧道在长期使用过程中,围岩遭受风化、地下水及区域地应力等不利因素的作用,导致岩体性质恶化,影响隧道的正常使用。在调研统计的基础上,选取319国道重庆至武隆段大溪河裸洞隧道为研究对象,对其表层及深层灰岩进行了室内单轴压缩、三轴压缩力学特性试验并对单轴压缩作用下的声发射特性进行了研究。结果表明:单轴压缩作用下两种岩样均出现脆性破坏特征,三轴压缩条件下,两种岩样呈压缩为主的延性扩容破坏,声发射可较好地表征岩石单轴压缩破坏过程;获得了两种岩样的基本力学参数,深层岩样强度为表层岩样强度的2.13倍,弹性模量、泊松比、内聚力、内摩擦角分别是表层岩样的1.04倍,0.63倍,1.45倍,1.37倍。研究结果可为该地区裸洞隧道的长期安全性与稳定性提供有益的理论支撑。     

Use of electrical-resistance strain elements in three-dimensional stress analysis

A method for constructing resistance-wire strain gages which may be imbedded in a plastic model without materially altering the stress pattern in the model is presented. The methods used to calibrate the gages and the photoelastic tests made to investigate the effect of the gages on the stress pattern are described. The application of this new three-dimensional technique to evaluate the stress distribution in a thick-walled cylindrical pressure vessel is discussed. Correlation between experimental data and calculated values is given.     

Craft––a plastic-damage-contact model for concrete. I. Model theory and thermodynamic considerations

A framework is described for the development of a thermodynamically consistent plastic directional-damage-contact model for concrete. This framework is used as a basis for a new model, named Craft, which uses planes of degradation that can undergo damage and separation but which can regain contact according to a contact state function. The thermodynamic validity of the resulting model is considered in detail, and is proved for certain cases and demonstrated numerically for others. The model has a fully integrated plasticity component that uses a smooth triaxial yield surface and frictional hardening–softening functions. A new type of consistency condition is introduced for simultaneously maintaining both local and global constitutive relationships as well as stress transformation relationships. The introduction of contact theory provides the model with the ability to simulate the type of delayed aggregate interlock behavior exhibited by fully open crack surfaces that subsequently undergo significant shear movement. The model has been implemented in a constitutive driver program as well as a finite element program. The model is assessed against a range of experimental data, which includes data from uniaxial tension tests with and without unloading–reloading cycles, tests in which cracks are formed and then loaded in shear, and uniaxial, biaxial and triaxial compression tests.     

Ultrasonic nondestructive methods of stress analysis in materials and structural members (review)

Results of the justification, development, and application of nondestructive ultrasonic methods of stress analysis are briefly outlined (summarized). These are the results of cooperative research by the S. P. Timoshenko Institute of Mechanics and the E. O. Paton Institute of Electric Welding. The nondestructive ultrasonic methods are intended to determine triaxial (including biaxial and uniaxial) stresses in structural members and biaxial (including uniaxial) stresses in near-surface layers of materials     

Strain-gage techniques in biomechanics

In order to successfully use strain gages to monitor the mechanical response of biological systems to mechanical inputs, new techniques have been developed. Special procedures for wiring, bonding and waterpooofing strain gages are illustrated. These may change with the type of biological specimen being studied—living or dead—the length of time the gages must function, and the depth of the desired point of application below the surface of the body. Strain gages have been successfully applied deep into the thoracic cavity of a cadaver and have remained operable for a month which is well beyond the required time. Gages applied to the rib cage and the facial bones have been used over a two-month period with no loss in function. For animal tests, applications of up to three weeks are possible with longer periods available with more involved techniques. Strain gages have a distinct advantage over any other type of measuring device which might be employed in that a correlation between static and dynamic results can be determined; this makes it a most useful and valuable tool for the investigator in biomechanics.     

Stress concentration in machine components with complex shape

An experimental stress analysis of machine components with complex shape, which are usually used in agriculture machines, is described. Brittle-coating and its precision-inductance strain gages were employed to determine stress distributions over the outer surface of specimens when they are subjected to bending. Particular emphasis was placed on determining stress concentrations as affected by weld arrangement in the components investigated. Strain measurement enables the determination of the stress gradient and the ratio of stress gradient to the maximum stress at the location of highest stress level of the structural components investigated. Based upon the results of this study, an attempt was made to classify components with respect to fatigue behavior using the fatigue-stress-concentration approach. In this context, an analytical model was developed for calculation of the combined-fatigue-stress concentration factor.     

Thermal stress analysis of a silicon carbide/aluminum composite

Thermal deformations and stresses were studied in a silicon-carbide/aluminum filamentary composite at temperatures up to 370°C (700°F). Longitudinal and transverse thermal strains were measured with strain gages and a dilatometer. An elastoplastic micromechanical analysis based on a one-dimensional rule-of-mixtures model and an axisymmetric two-material composite cylinder model was performed. It was established that beyond a critical temperature thermal strains become nonlinear with decreasing longitudinal and increasing transverse thermal-expansion coefficients. This behavior was attributed to the plastic stresses in the aluminum matrix above the critical temperature. An elastoplastic analysis of both micromechanical models was performed to determine the stress distributions and thermal deformation in the fiber and matrix of the composite. While only axial stresses can be determined by the rule-of-mixtures model, the complete triaxial state of stress is established by the composite cylinder model. Theoretical predictions for the two thermal-expansion coefficients were in satisfactory agreement with experimental results.     

Brittle lacquer for acoustic testing of structure

A structure which is to be tested acoustically is generally instrumented with strain gages to determine stress levels. Since strain gages produce only point data, the complete stress distribution is not known. The location and direction of the maximum stress are also unknown, unless a failure occurs during the test. This article describes a test program which utilized the brittle-coating technique of experimental stress analysis to determine the full-field stress distribution of a structure subjected to acoustic testing in either the laboratory or in the field. Acceptable results were obtained in the laboratory and field tests. The similarity and quality of the results indicate further investigation of the combined test methods would be valuable if perfected.     

Doubly Reinforcing Cementitious Beams with Instrumented Hollow Carbon Fiber Tendons

Surface mounted strain gages are used to characterize the behavior of polymer-enhanced cementitious beams designed to withstand reverse loadings. These unique composite structures are doubly reinforced with hollow carbon fiber (graphite) tendons equipped with strain gages and the study includes section design, materials considerations, structural testing, and finite element analysis. The primary purpose of strain gage integration is to insure that the stress in the materials remains within the elastic range so that damage does not occur. A finite element model is developed to characterize the structural response in the elastic range and a hybrid approach is suggested in which displacement, strain, and stress can be obtained with a single strain gage. The ability to characterize structural performance beyond the elastic range is also demonstrated by analyzing data obtained from displacement-controlled tests.     

基于内时理论的冻土试验研究与数值分析

从内时理论出发,基于考虑了温度和应变率影响的冻土内时流变本构方程,采用Matlab拟合法确定内时材料参数,对冻土在单轴和3轴应力条件下的应变进行了求解、分析与试验验证,并将理论结果与试验所得的应力-应变曲线进行了比较,理论曲线与试验曲线基本吻合. 与传统塑性理论的研究方法相比,内时理论的研究方法可以免去确定屈服面的困难. 基于所使用的内时本构模型,对冻土路基的冻结进行了数值分析,结果表明该理论具有很好的适用性.      

An investigation of the use of strain gages to measure welding-induced residual stresses

The measurement of weld-induced residual stress is important in structures that are subjected to cyclic loading during their service life. Depending on their magnitude, stresses can influence the rate of crack growth under cyclic loading and hence affect the life of the structure. Because the level of residual stress may change during service, measurement of these changes is necessary for accurate life prediction of the structures. The measurement of welding-induced residual stress using strain gages poses significant problems, the most important being the potential damage to the gages by high temperatures generated in the welding process. This laboratory study was undertaken to assess the suitability and signal stability of commercially available resistive strain gages for the measurement of postweld residual stresses in a submarine hull structure. Adhesively bonded and weldable-type strain gages were attached to the surface of a 35 mm thick steel plate, which was then subjected to thermal cycles similar to those encountered during welding construction of a submarine pressure hull. This paper describes the strain gage application procedure, changes in the strain gage output at end of each experimental stage and the history of changes in the residual stress.     

A polymeric split Hopkinson pressure bar instrumented with velocity gages

Polymeric split Hopkinson pressure bars are often used to test low-impedance materials at elevated strain rates. However, they tend to be viscoelastic, and a viscoelastic wave propagation model is required to analyze the data. This considerably complicates the analysis over the more common linear elastic split Hopkinson bar. In this research, a polymeric split Hopkinson bar is instrumented with electromagnetic velocity gages. The gages are placed at the interfaces between the bars and the specimen. By using this arrangement, viscoelastic effects in the bars are negligible and the need for a viscoelastic correction is eliminated. The method is applied by testing low-density foams.     

完整岩石拉压应力状态下的张裂破坏准则

一点的应力状态可由3个主应力$\sigma_{1}$, $\sigma_{2}$, $\sigma_{3}$来表示, 当规定主应力以压为正时, 沿最大主应力$\sigma_{1}$方向将产生收缩变形, 若中间主应力$\sigma_{2}$和最小主应力$\sigma_{3}$都远小于$\sigma_{1}$, 则沿$\sigma_{2}$和$\sigma_{3}$方向会产生横向扩张变形, 当横向扩张变形达到一定极限时, 将会在平行于$\sigma _{1}$的方向产生张裂破坏. 如何建立这种张裂破坏的强度准则目前尚缺乏研究, 最大拉应变理论(第二强度理论)有时被用来解释张裂破坏, 但最大拉应变理论难以应用于三向受力状态. 本文分别用$\varepsilon_{1}$, $\varepsilon_{2}$表示最大张应变和次大张应变, 则最大拉应变理论认为当$\varepsilon_{1}$达到单向拉伸屈服应变时, 材料将产生破坏. 而本文将根据$\varepsilon_{1}+\varepsilon_{2}$之和达到极限值$\varepsilon_u$来建立张裂破坏准则. 可以证明$\varepsilon_{1} +\varepsilon_{2}$所表示的是$\sigma_{1}$主平面的面积增长率. 当$\sigma_{3}<\sigma_{2} \ll \sigma_{1}$时, 大部分岩石都具有脆性破坏的特点, 所以可将破坏前的岩石视为满足广义胡克定律的线弹性材料, 这样用$\varepsilon_{1}$, $\varepsilon_{2}$表示的强度准则可通过$\sigma_{1}$, $\sigma_{2}$, $\sigma_{3}$来表示. 在这个过程中还可考虑岩石在拉伸和压缩时具有不同弹性参数和强度的特点, 并可通过单向拉伸和单向压缩的破坏状态来确定$\varepsilon_u$. 不管$\sigma_{1}$, $\sigma_{2}$, $\sigma_{3}$是压应力, 还是拉应力, 或者$\sigma_{1}$, $\sigma_{2}$, $\sigma_{3}$中有拉有压的情形, 基于$\varepsilon_{1} +\varepsilon_{2} =\varepsilon_u$都可建立相应的强度准则. 所建立的准则可以反映中间应力$\sigma_{2}$对强度的影响规律, 通过建立的强度准则还可以证明: 静水拉力能引起屈服, 而静水压力不能产生屈服; 压缩破坏能使塑性体积增大, 其结果比Mohr-Coulomb准则更能反映实际情形. 并通过拉压应力状态下的试验数据验证了所建立的强度准则, 所得理论计算结果和已有的试验数据吻合得很好. 通过提出的强度准则和圆盘劈裂的试验结果, 可获得更为可靠的岩石单轴抗拉强度.      

考虑三轴约束时孔洞的聚合机理及有效能量准则

通过体胞分析方法,对不同状孔洞在从光滑试样到裂纹试样的三轴应力场中的聚合机理进行了较精解的有限元分析,计算结果表明：（１）孔洞的相互靠近和横向扩展是导致相邻孔洞发生内颈缩聚合的两种基本机制,在应力三维度Ｒσ等于１．２５附近,这两种机制发生较明显的变化。（２）单纯以孔洞体积分数ｆＣ概念为基础的材料破坏参数一般敏感于应力三维度,不能很好地预报不同三轴应力场中材料的破坏,在此基础上,提出了描述孔洞聚合的     

Stress and failure analysis of a glass-epoxy composite plate with a circular hole

Experimental and finite-element analyses are presented for the anisotropic states of stress, strain and fracture of a glass-epoxy plate containing a circular hole and subjected to uniaxial tension. Strains were experimentally measured using foil gages, moiré and birefringent coating. Stresses are computed in the linear range from the measured strains. While the hole reduces the plate strength by a factor of two, the maximum tensile strain at fracture is greater than the ultimate strain in a plate without a hole. Fracture consists of crack initiation at the hole boundary but off the horizontal axis. Away from the hole, failure is accompanied by considerable delamination. Discontinuous crack propagation is present.