均匀热流作用下含裂纹板I 型温度应力强度因子的解析解

研究一种新的温度边值问题。含中心裂纹无限大板受远场均匀热流作用,热流密度方向与裂纹有一夹角。当裂纹面上维持一恒定温差时,采用复变函数理论,得出了温度场、温度应力场与位移场的解析解。利用位移单值条件,确定出温度应力强度因子的解析表达式。针对铝合金LY12 材料进行了相应数值计算,分析了热流密度大小与方向对温度分布与温度应力强度因子的影响。研究表明:该文给定的温度边界条件下,只产生Ⅰ 型温度应力强度因子,不产生Ⅱ 型温度应力强度因子。温度应力场取决于热流密度沿裂纹方向的分量,垂直于裂纹方向的分量对温度应力场没有影响。     

大跨度混凝土连续箱梁桥运营阶段的温度场分析

以一座运营多年的大跨度混凝土连续箱梁桥为研究对象,进行连续的温度实时监控,得到了具有地区特点的箱梁温度场分布。对箱梁温度场进行理论分析,综合考虑引起箱梁表面与外界进行热交换的各种因素,采取第三类边界条件,通过有限元分析得到各个时刻的箱梁温度分布。有限元分析结果与实测温度分布符合较好。     

均匀热流下导热裂纹Ⅱ型温度应力强度因子的解析解

研究含中心裂纹无限大板受远场均匀热流作用,热流密度方向与裂纹有一夹角的情况。当垂直于裂纹面方向有定量热流穿过裂纹时,采用复变函数理论,得出了温度、应力与位移场解析解。利用位移单值条件,确定出温度应力强度因子的解析表达式。针对铝合金LY12材料进行了数值计算,研究了裂纹导热情况与热流方向对温度场及温度应力强度因子的影响。研究表明:该文给定的温度边界条件下,只产生Ⅱ型温度应力强度因子,不产生Ⅰ型温度应力强度因子。热荷载可等效为一个远场均匀作用的剪应力。Ⅱ型温度应力场取决于热流密度沿垂直裂纹面方向的分量,平行于裂纹方向的热流分量对温度应力场没有影响。     

一种可适用于瞬态辐射换热问题的蜂窝夹芯壳体有限单元

提出一种三层32 结点温度壳单元, 对蜂窝夹芯复合材料壳体的瞬态温度场进行了有限元分析。分别假定上下面板与芯层沿厚度方向的温度分布规律, 事先近似满足上下表面的热边界条件及层间的温度连续条件, 以消减总的自由度数。壳体内外表面可以同时考虑热流、对流及辐射换热边界条件, 并通过温度的后处理使芯层温度场也满足层间的热流连续条件, 从而进一步提高温度场计算的准确性。两个实例分析验证了所提出单元的可靠性与有效性。     

多裂纹导电薄板电热温度场和应力场的计算

讨论了对带有n个共线裂纹的薄板,在无穷远处加载电流实施止裂时板内的温度场和应力场。文中利用了复变函数的方法计算得到了电流场、温度场和应力场的分布状态。计算中考虑了材料热传导系数、线胀系数、弹性模量随温度的变化。作为算例,以带有两个共线裂纹、牌号为2132GH的高温合金制成的薄板进行了计算,给出了应力、温度与加载的电流密度及裂纹尺寸的关系;分析了导热系数随温度的变化对温度场数值的影响。     

风冷无油涡旋空气压缩机涡盘温度场数值计算

涡盘温度场是变形计算的基础,为了进行温度场的有限元计算,通过压缩区域的划分,把动态的空气压缩过程转换为静态的热通量边界条件,由冷却风测量结果计算得到冷却风换热系数边界条件。假设涡齿温度在展角整个范围线性分布,动、定盘涡齿平均温差为0℃,对涡盘温度场进行了初次计算,在温度场初次计算结果与定盘温度测量值对比以及涡齿几何特点分析的基础上,以涡齿温度线性起始角、动、定盘压缩区域平均温差为调整参数,热通量计算时的动、定盘涡齿温度条件和有限元温度场计算结果误差介于±0.2℃为目标,进行热通量和温度场的迭代计算,得到了与热通量计算时涡齿温度条件、定盘温度测量结果相符的涡盘温度场。     

高转速大功率柴油机气缸盖热负荷研究

通过对某型柴油机气缸盖进行温度场测试,得到标定工况下气缸盖火力面的温度分布情况,通过对气缸盖温度场进行计算,得到气缸盖温度场计算边界条件,同时,对气缸盖结构进行优化设计,并计算优化设计后的温度场。     

谐波热作用下墙体温度场的解析解

超长结构设计时应分析墙体温度场变化产生的温度应力,以控制温度作用墙体产生裂缝.针对谐波热作用下的单层墙,采取变量分离法求解第一类边界条件下的热传导微分方程,得到单层墙温度场的解析表达式.以此为基础,采用两层墙接触面处温度和热流相等的基本假设,推导了谐波热作用下第一类和第三类边界条件时多层墙温度场的解析解,为墙体温度应力分析和裂缝控制提供了理论基础.利用推导的墙体温度场计算公式,对外墙外保温墙体的温度场进行了分析和研究.     

裂纹深度及尖端曲率对尖角裂纹周围应力场的影响

对于尖角裂纹,裂纹深度和裂纹尖端曲率对于裂纹附近应力场的影响有可能要大于裂纹张开角度的影响。根据弹性断裂理论和复变函数理论建立了一个计算模型,利用保角映射方法解决了尖角裂纹的边界条件问题,得到了具有不同深度和尖端曲率的裂纹周围应力分布,并对此应力分布规律进行了分析。     

钢-混凝土叠合梁横截面日照温度分布研究

介绍了桥梁结构横截面上温度分布的若干形式及其对结构受力的影响。基于平面非稳态温度场的基本理论,按求解导热微分方程的第三类边界条件加载,应用ANSYS有限元软件对某实桥的钢-混凝土叠合梁截面在日照作用下的温度分布进行时程仿真计算,进而评价了不同材质在叠合梁截面中的热力学性能。通过对比实测数据和计算结果,验证了计算方法和我国桥梁规范对桥梁横截面温度分布的界定的合理性。     

Analytical forms of higher-order asymptotic elastic-plastic crack-tip fields in a linear hardening material under antiplane shear

An analytical study of the higher-order asymptotic solutions of the stress and strain fields near the traction-free crack tip under antiplane shear in a linear hardening material is investigated. The results show that every term of the asymptotic fields is controlled by both elasticity and plasticity and all the higher-order asymptotic fields are governed by linear nonhomogeneous equations. The first four term solutions are presented analytically and the first four terms are described by two independent parameters J and K ₂. The amplitude of the second order term solution is only dependent on the material properties, but independent of loading and geometry. This paper focuses on the case with traction-free crack surface boundary conditions. The effects of different crack surface boundary conditions, such as clamped and mixed surfaces, on the crack-tip fields are also presented. Comparison of multi-term solution with leading term solution, and finite element solution in an infinite strip with semi-infinite crack under constant displacements along the edges is provided.     

Boundary element analysis of thermal stress intensity factors for interface griffith and cusp cracks

The thermal stress intensity factors for interface cracks of Griffith and symmetric lip cusp types under vertical uniform heat flow in a finite body are calculated by the boundary element method. The boundary conditions on the crack surfaces are insulated or fixed to constant temperature. The relationship between the stress intensity factors and the displacements on the nodal point of a crack-tip element is derived. The numerical values of the thermal stress intensity factors for an interface Griffith crack in an infinite body are compared with the previous solutions. The thermal stress intensity factors for a symmetric lip cusp interface crack in a finite body are calculated with respect to various effective crack lengths, configuration parameters, material property ratios and the thermal boundary conditions on the crack surfaces. Under the same outer boundary conditions, there are no appreciable differences in the distribution of thermal stress intensity factors with respect to each material property. However, the effect of crack surface thermal boundary conditions on the thermal stress intensity factors is considerable.     

Numerical analysis for piezoelectric crack under varied boundary conditions by optimized hybrid element method

In this article, a piezoelectric hybrid element is presented and optimized by penalty equilibrium approach, and special crack surface element is suggested for exactly implementing the boundary conditions on crack surface. An iteration technique is used to treat one of the electric boundary conditions. Then, a piezoelectric material with crack is numerically studied by the optimized hybrid element method, and the results are compared with the analytical solutions. The stress and the electrical displacement fields with different crack surface conditions are studied, and the influence to those fields arisen by the far field mechanical and electric loading is also studied.     

有限宽中心裂纹板在裂纹面受一对偏心反平面集中力的弹塑性分析

有限宽裂纹板的弹塑性分析是弹塑性断裂力学中最困难的问题之一。本文对有限宽裂纹板在裂纹面任意点受一对反平面集中力的情形采用裂纹线场分析方法,将各场量在裂纹线附近展开,利用平衡方程和屈服准则进行弹塑性分析,这种分析不需要作小范围屈服的假定。通过裂纹线上的弹塑性应力场在弹塑性边界上进行匹配得出荷载与裂纹线上塑性区长度之间的关系,进而分析得出荷载的不同位置和板宽所对应的临界荷载。     

Thermal stress intensity factors of an infinite orthotropic layer with a crack

Stress intensity factors are determined for a crack in an infinite orthotropic layer. The crack is situated parallel to the plane surfaces of the layer. Stresses are solved for two kinds of the boundary conditions with respect to temperature field. In the first problem, the upper surface of the layer is heated to maintain a constant temperature T ₀, while the lower surface is cooled to maintain a constant temperature –T ₀. In the other problem, uniform heat flows perpendicular to the crack. The surfaces of the crack are assumed to be insulated. The boundary conditions are reduced to dual integral equations using the Fourier transform technique. To satisfy the boundary conditions outside the crack, the difference in temperature at the crack surfaces and differences in displacements are expanded in a series of functions that vanish outside the crack. The unknown coefficients in each series are evaluated using the Schmidt method. Stress intensity factors are then calculated numerically for a steel layer that behaves as an isotropic material and for a tyrannohex layer that behaves as an orthotropic material.     

Three-dimensional analysis of thermally loaded cracks

The stress intensity factors for cracks in three-dimensional, thermally stressed structures are computed by using the boundary element method. While many boundary and volume-integral-based formulations are available for the treatment of thermoelastic problems in solids, the present analysis is based on a recently developed boundary-only formulation. The accuracy of the solutions in the present work is improved by using special elements at the crack front that accurately model the variation of displacement, temperature fields and singularity of traction, flux fields.     

Thermo-mechanical stress fields and strain energy associated with a mixed-mode propagating crack

Thermo-mechanical stress field equations are developed for a mixed-mode crack propagating at constant velocity in homogeneous and isotropic materials using an asymptotic approach along with displacement potentials. Asymptotic temperature field equations are first developed for steady state temperature conditions using insulated crack-face boundary conditions. These temperature field equations are later used to derive the first three terms of thermo-mechanical stress field equations for a steady state propagating mixed-mode crack. Using these thermo-mechanical stress fields, various components of the stresses are developed, and the effects of temperature on these stress components are discussed. Further, strain energy density and the circumferential stress criteria are employed to study the effect of temperature and the crack-tip velocity on crack growth direction.     

The dual boundary element method for thermoelastic crack problems

A boundary element formulation, which does not require domain discretization and allows a single region analysis, is presented for steady-state thermoelastic crack problems. The problems are solved by the dual boundary element method which uses displacement and temperature equations on one crack surface and traction and flux equations on the other crack surface. The domain integrals are transformed to boundary integrals using the Galerkin technique. Stress intensity factors are calculated using the path independent -integral. Several numerical problems are solved and the results are compared, where possible, with existing solutions.