Theoretical and experimental study of energy dissipation in the course of strain localization in iron

Plastic strain localization is studied with the use of a high-sensitivity infrared camera. Plastic strain localization in iron is demonstrated to be accompanied by the emergence of heat waves and their propagation over the sample surface. Constitutive equations that describe the energy balance in the material under plastic strains are derived, and the plastic flow of iron is analyzed. The results of research are compared with the data obtained by infrared scanning. The proposed model of strain localization in the form of soliton-like waves (phase triggering waves) is demonstrated to agree with the kinetics of temperature waves characterizing dissipation inherent in the development of plastic deformation. __________ Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 50, No. 1, pp. 153–164, January–February, 2009.     

Measurement of uniform and localized heat dissipation induced by cyclic loading

An experimental technique is presented for measuring the heat dissipation and localization during cyclic loading of materials. The temperature field is measured by a number of thermistors and an infrared camera, which scans the specimen surface continuously. The specimen is mounted inside an isothermal chamber. The measured whole-field temperature can be used for detection of damage propagation and localization. The resolution of the technique under various boundary conditions is discussed using a onedimensional model for the heat loss under steady-state conditions. Applications of the technique are demonstrated for specimens made of fiber-reinforced ceramic and polymer matrix composites (PMCs). A methodology is proposed for measuring changes in damping and stiffness properties of viscoelastic polymer matrix composites using the temperature rise of a cyclic loaded specimen. It is demonstrated that for a ceramic matrix composite, where interfacial frictional sliding gives rise to heat dissipation, the temperature resolution can be used for detection of stress-strain hysteresis with an accuracy better than that of the stress-strain data.     

Biothermomechanics of skin tissues

Biothermomechanics of skin is highly interdisciplinary involving bioheat transfer, burn damage, biomechanics and neurophysiology. During heating, thermally induced mechanical stress arises due to the thermal denaturation of collagen, resulting in macroscale shrinkage. Thus, the strain, stress, temperature and thermal pain/damage are highly correlated; in other words, the problem is fully coupled. The aim of this study is to develop a computational approach to examine the heat transfer process and the heat-induced mechanical response, so that the differences among the clinically applied heating modalities can be quantified. Exact solutions for temperature, thermal damage and thermal stress for a single-layer skin model were first derived for different boundary conditions. For multilayer models, numerical simulations using the finite difference method (FDM) and finite element method (FEM) were used to analyze the temperature, burn damage and thermal stress distributions in the skin tissue. The results showed that the thermomechanical behavior of skin tissue is very complex: blood perfusion has little effect on thermal damage but large influence on skin temperature distribution, which, in turn, influences significantly the resulting thermal stress field; the stratum corneum layer, although very thin, has a large effect on the thermomechanical behavior of skin, suggesting that it should be properly accounted for in the modeling of skin thermal stresses; the stress caused by non-uniform temperature distribution in the skin may also contribute to the thermal pain sensation.     

非定常热传导对弹-粘/塑性变形和断裂的红外图像分析

本文使用CCD像机、热电偶和红外摄像机对有裂纹平板试样,在单轴拉伸实验中对裂纹尖端附近弹-粘/塑性变形,裂纹的发生、进展,裂纹开口位移和试样表面温度进行了测量.并且用非定常热传导理论对弹-粘/塑性变形和断裂过程中的温度效应进行了解析(FEM).结果显示对于铁合金在不同的应变速率下,用非定常热传导理论解析得到的裂纹尖端附近温度分布与红外图像非常接近.     

Thermographic heat transfer measurements in separated flows

A measurement technique to determine the surface heat transfer distribution in complex turbulent flows is described. For this purpose, a constant wall heat flux test surface has been designed. To measure the surface temperature of the test plate, an infrared camera was used. The instrumentation allows the determination of the heat transfer with high accuracy and detailed spatial resolution. In examining combustor-type separated flow, the capabilities of the technique are demonstrated and its accuracy is verified by appropriate conventional techniques.     

Temperature maps measurements on 3D surfaces with infrared thermography

The use of the infrared camera as a temperature transducer in wind tunnel applications is convenient and widespread. Nevertheless, the infrared data are available in the form of 2D images while the observed surfaces are often not planar and the reconstruction of temperature maps over them is a critical task. In this work, after recalling the principles of IR thermography, a methodology to rebuild temperature maps on the surfaces of 3D object is proposed. In particular, an optical calibration is applied to the IR camera by means of a novel target plate with control points. The proposed procedure takes also into account the directional emissivity by estimating the viewing angle. All the needed steps are described and analyzed. The advantages given by the proposed method are shown with an experiment in a hypersonic wind tunnel.     

Experimental determination of transient wall temperature distributions close to growing vapor bubbles

Experiments were performed to study the spatio-temporal temperature variation underneath growing bubbles on a thin platinum heating foil in saturated and subcooled nucleate pool boiling of water at atmospheric pressure. The transient wall temperature distributions were recorded with spatial resolution of 40 μm by a high-speed infrared camera at intervals of 1 ms, synchronised with a high-speed video camera to record bubble motion. Examples are presented of the transient distributions of wall temperature, heat flux and heat transfer coefficient underneath bubbles growing with the fast and slow bubble detachment mechanisms in saturated and subcooled pool boiling. Comments are made on the evidence for and against particular mechanisms of heat transfer.     

电磁加热条件下皮肤组织的生物热力学行为

研究目的是开发一种数学方法来计算传热过程、热引起的力学响应以及相应的疼痛等级, 从而对临床上应用的各种加热疗法之间的差别进行定量评估. 采用基于有限差分法的数值模拟方法, 基于无限大和均匀化假设, 分析了各种热疗法中皮肤组织的温度、烧伤和热应力分布. 研究发现: 充血对热损伤的影响很小, 但对皮肤的温度分布影响很大, 而这又反过来显著影响由此产生的热应力场; 对于激光加热, 光波越短则峰值温度越高, 但峰值更接近皮肤表面温度; 激光和微波加热所产生的热应力集中于表皮顶层, 因为发热量沿皮肤深度方向呈指数衰减; 薄角质层(常常被忽略)对皮肤组织的热力学响应起主导作用.      

SUS304钢表面粗糙度对红外图像的影响

为提高红外热像仪图像及测温精度,根据红外热像仪的测温原理和红外辐射原理,通过使用红外热像仪、CCD相机以及激光表面形状测量显微镜,研究了SUS304钢在单轴拉伸塑性变形过程中表面粗糙度与目标发射率的关系;并用热电偶和红外热像仪对塑性变形过程中的温度分布进行了测量。研究结果表明,目标发射率随表面粗糙度成比例增大,造成红外热像仪测定的塑性变形区域比实际变形区域大;通过预先设定材料的表面粗糙度,以提高有效目标发射率,能得到较好的红外图像和测温精度。     

A mechanistic IR calibration technique for boiling heat transfer investigations

This paper presents a new calibration technique to improve the accuracy of infrared thermometry in boiling heat transfer investigations.The technique is suitable for heaters consisting of a thin, infrared (IR) opaque conductive film coated on one side of a flat and IR semi-transparent substrate. The conductive film is in contact with the liquid and acts as the boiling surface. The IR camera sees the boiling surface through the substrate. If the substrate is not completely transparent, the radiation emitted by the IR opaque film is partially absorbed and contaminated by the radiation emitted by the substrate itself. Therefore, the correlation between the IR radiation measured by the IR camera and the temperature of the boiling surface (IR opaque film) is not unique, but depends on the temperature distribution in the substrate.To solve this issue, we developed a model that solves the coupled conduction/radiation inverse problem in the heater. The problem is inverse because the boundary condition for the conduction problem (the boiling surface temperature) is not known. The IR camera measures the combined radiation emitted by the boiling surface, emitted by the substrate and also the reflection of the background radiation; from that information one has to reconstruct the boiling surface temperature.The technique is unique in that it takes into account the spectral dependence of optical properties in the optical materials. For this reason, it is particularly suitable for heaters where the optical properties of the conductive film and the substrate materials depend on the wavelength of the IR radiation.Using this technique, we can measure with improved accuracy the time-dependent 3D temperature distribution in the heater, as well as local temperature and local heat flux distributions on the boiling surface. The validation of the technique was carried out using transient conduction experiments. Then, the technique was applied to transient pool boiling experiments to prove its feasibility and show the potential applications.     

Determination of the Constitutive Relation Parameters of a Metallic Material by Measurement of Temperature Increment in Compressive Dynamic Tests

The mechanical behaviour of a material can be established by an analytic expression called the constitutive relation that shows stress as a function of plastic strain, strain rate, temperature, and possibly other thermo-mechanical variables. The constitutive relation usually includes such parameters as coefficients or exponents that must be determined. At a high strain rate, the heat generated during the deformation process is directly related to the plastic deformation energy of the material. This energy can be calculated from the plastic work, resulting in an expression that includes the constitutive relation parameters as variables. The heat generated can also be estimated by measuring the temperature surface of the specimen during compressive tests using the technique of infrared thermography. The objective of this paper is to present a procedure for determining the constitutive relation parameters by measuring the temperature increase associated with plastic strain in compressive Hopkinson tests. The procedure was applied to estimate the parameters of the Johnson–Cook constitutive relation of an aluminium alloy (Al6082).     

Infrared visualization of thermal motion inside a sessile drop deposited onto a heated surface

Drop evaporation is a basic phenomenon but the mechanisms of evaporation are still not entirely clear. A common agreement of the scientific community based on experimental and numerical work is that most of the evaporation occurs at the triple line. However, the rate of evaporation is still predicted empirically due to the lack of knowledge of the governing parameters on the heat transfer mechanisms which develop inside the drop under evaporation. The evaporation of a sessile drop on a heated substrate is a complicated problem due to the coupling by conduction with the heating substrate, the convection/conduction inside the drop and the convection/diffusion in the vapor phase. The coupling of heat transfer in the three phases induces complicated cases to solve even for numerical simulations. We present recent experimental results obtained using an infrared camera coupled with a microscopic lens giving a spatial resolution of 10 μm to observe the evaporation of sessile drops in infrared wavelengths. Three different fluids fully characterized, in the infrared wavelengths of the camera, were investigated: ethanol, methanol and FC-72. These liquids were chosen for their property of semi-transparency in infrared, notably in the range of the camera from 3 to 5 μm. Thus, it is possible to observe the thermal motion inside the drop. This visualization method allows us to underline the general existence of three steps during the evaporating process: first a warm-up phase, second (principal period) evaporation with thermal-convective instabilities, and finally evaporation without thermal patterns. The kind of instabilities observed can be different depending on the fluid. Finally, we focus on the evolution of these instabilities and the link with the temperature difference between the heating substrate and the room temperature.     

单轴压缩下2种PBX炸药的动态变形损伤及其温升效应

通过炸药单轴压缩实验,利用高速摄影和高速红外热像仪,对2种典型PBX炸药变形损伤过程和温升效应进行了实时观测。实验结果表明,2种典型PBX炸药的损伤以及温升效应表现出明显差别:低粘结剂含量的炸药表现出明显的脆性特征,材料应力应变曲线中的应变软化阶段是伴随着材料损伤的演化过程,最终的失稳破坏导致样品中贯穿裂纹的形成,非均匀的裂纹分布对应于局部高温带的出现; 高粘结剂含量的炸药表现出明显的韧性特征,材料应力应变曲线未出现应变软化现象,变形损伤分布较均匀,但剪切方向出现网络状的温升分布。     

基于红外热成像的编织复合材料低速冲击和冲击后压缩试验研究

针对二维三轴编织复合材料（two-dimensional triaxially braided composite, 2DTBC）在低速冲击和冲击后压缩（compression after impact, CAI）载荷下的损伤失效机理,开展了2DTBC试样的不同能量低速冲击试验以及相应的CAI试验,并采用红外热像仪监测在低速冲击和CAI试验过程中的温升现象。通过C扫描表征了不同能量低速冲击后试样的分层损伤情况,讨论了试样背面温度场分布特性及其随冲击能量的演化规律;对比分析了2DTBC冲击后剩余压缩强度与冲击能量的对应关系,基于数字图像相关（digital image correlation, DIC）技术监测了CAI试验中的全局应变场,结合热成像、变形场和光学图像数据,阐明了不同能量冲击后2DTBC的压缩失效特性,讨论了基于红外热成像技术表征编织复合材料损伤失效行为的有效性。试验结果显示:编织复合材料低速冲击和CAI试验中的温度场分布图与编织几何构型有明显关联度;低速冲击试验的温升幅值随冲击能量的增加而快速上升,CAI试验的温升现象随着冲击能量的增加而减弱;分层面积随冲击能量的增大而增大,冲击后剩余压缩强度随冲击能量的增大而降低。研究结果表明:红外热成像技术能够很好地捕捉试样破坏瞬间释放断裂能所产生的温升现象,温度场图像相较于全局应变场能更好地捕捉破坏的起始位置和失效特征。     

Experimental Evidence of Thermal Effects in Multiphase Ceramic Specimens Subjected to Cyclic Loading

The aim of this work is to observe and to analyze various phenomena that exist in a multiphase ceramic material subjected to cyclic compressive loads. An infrared camera is used for this purpose. The material under study is an andalusite-based low-cement castable, which exhibits a pre-existing diffused damage (microcracks and debonded interfaces) before mechanical testing. The temperature variation in the specimen during the tests is investigated both at a macroscopic scale and a mesoscopic scale. In the first case, the material compaction, the thermoelastic coupling and the temperature increase due to mechanical dissipation are clearly evidenced. In the second case, local temperature variations related to microcracks are observed. The technique used and the results obtained are described and discussed in the paper.     

Multiaxial creep and cyclic plasticity in nickel-base superalloy C263

Physically-based constitutive equations for uniaxial creep deformation in nickel alloy C263 [Acta Mater. 50 (2002) 2917] have been generalised for multiaxial stress states using conventional von Mises type assumptions. A range of biaxial creep tests have been carried out on nickel alloy C263 in order to investigate the stress state sensitivity of creep damage evolution. The sensitivity has been quantified in C263 and embodied within the creep constitutive equations for this material. The equations have been implemented into finite element code. The resulting computed creep behaviour for a range of stress state compares well with experimental results. Creep tests have been carried out on double notched bar specimens over a range of nominal stress. The effect of the notches is to introduce multiaxial stress states local to the notches which influences creep damage evolution. Finite element models of the double notch bar specimens have been developed and used to test the ability of the model to predict correctly, or otherwise, the creep rupture lifetimes of components in which multiaxial stress states exist. Reasonable comparisons with experimental results are achieved. The γ^′ solvus temperature of C263 is about 925 °C, so that thermo-mechanical fatigue (TMF) loading in which the temperature exceeds the solvus leads to the dissolution of the γ^′ precipitate, and a resulting solution treated material. The cyclic plasticity and creep behaviour of the solution treated material is quite different to that of the material with standard heat treatment. A time-independent cyclic plasticity model with kinematic and isotropic hardening has been developed for solution treated and standard heat treated nickel-base superalloy C263. It has been combined with the physically-based creep model to provide constitutive equations for TMF in C263 over the temperature range 20–950 °C, capable of predicting deformation and life in creep cavitation-dominated TMF failure.     

Study on the Use of Motion Compensation Techniques to Determine Heat Sources. Application to Large Deformations on Cracked Rubber Specimens

This paper deals with the determination of the thermal response of elastomeric materials subjected to cyclic loading. In this case, the material undergoes large deformations, so a suitable motion compensation technique has been developed to track the material points and their temperature during the test. Special attention is paid to the Narcissus effect and to the detector matrix of the infrared camera used in the study. Heat sources are then derived from the temperature maps. The thermoelastic inversion phenomenon has been experimentally evidenced during a cyclic test performed on an elastomeric notched specimen. The heat source distribution close to the crack tip has also been deduced from the temperature maps, thus highlighting the relevance of the approach.     

Inverse transient heat conduction problems and identification of thermal parameters

This work deals with the estimation of polymers properties. An inverse analysis based on finite element method is applied to identify simultaneously the constants thermal conductivity and heat capacity per unit volume. The inverse method algorithm constructed is validated from simulated transient temperature recording taken at several locations on the surface of the solid. Transient temperature measures taped with infrared camera on polymers were used for identifying the thermal properties. The results show an excellent agreement between manufacturer and identified values.     

缺陷演化过程中缺陷温度场的实验研究

本文以缺陷演化过程中的共性－流变与耗散现象为研究对象，利用红外扫描技术，对缺陷演化过程中的热耗散、缺陷温度场的形成及其演变规律进行了实验研究．在此基础上，对缺陷演化过程中缺陷温度场的形成及其演变规律、缺陷间相互作用进行了初步探讨．研究结果表明：缺陷演化过程是一个能量耗散过程，且缺陷演化过程中由于热耗散而形成的缺陷温度场具有分形特性，其分形维数不仅与缺陷间相互作用有关，而且是时间的函数，体现了缺陷演化过程跨越不同层次以及过程中层次间的协同作用效应．     

Rapid evaluation of the fatigue limit in composites using infrared lock-in thermography and acoustic emission

Fatigue limit determination via the conventional Wöhler-curve method is associated with extended experimental times as it requires testing of a large number of specimens. The current paper introduces a methodology for fast, reliable and experimentally economic determination of the fatigue limit in monolithic and composite materials by means of combined usage of two nondestructive inspection methods, namely infrared (IR) lock-in thermography and acoustic emission (AE). IR thermography, as a real-time and non-contact technique, allowed the detection of heat waves generated due to thermo-mechanical coupling as well as of the energy dissipated intrinsically during dynamic loading of the material. AE, on the other hand, was employed to record the transient waves resulting from crack propagation events. Aluminum grade 1050 H16 and cross-ply SiC/BMAS ceramic matrix composites were subjected to fatigue loading at various stress levels and were monitored by an IR camera and AE sensors. The fatigue limit of the monolithic material, obtained by the lock-in infrared thermography technique and supported by acoustic emission was found to be in agreement with measurements obtained by the conventional S–N curve method. The fatigue limit of the ceramic matrix composite was validated with acoustic emission data.