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1.
郭攀  武文华  吴志刚 《计算力学学报》2013,30(4):538-542,553
在热传导分析中,当热流与温度梯度存在时间延迟时,需采用非傅立叶热传导模型进行分析。生物组织具有较强的热松弛时间系数,承受激光、微波及烧烫等作用时,其呈现出较强的非傅立叶行为。本文对脉冲热源作用下生物组织的非傅立叶热传导进行研究,针对强脉冲引起的温度场在空间域的高梯度变化、波阵面的间断行为以及通用传统时域数值方法会带来虚假数值振荡的特点,提出采用所发展的时域间断Galerkin有限元法(DG-FEM )进行求解计算。对多种脉冲热源作用下的非傅立叶热传导过程进行数值模拟,通过考量强脉冲作用下温度场分布和热致生物组织损伤行为的影响,表明了本文所发展的DGFEM 能够有效、准确地描述温度场空间分布和热传导过程以及非傅立叶行为下的生物热损伤更为明显,在生物组织热行为分析中应该受到重视。  相似文献   

2.
在微观尺度下,陶瓷的热传导机理与宏观尺度下的热传导机理有较大的差异,由此产生的热应力与宏观尺度下的不同,本文针对热冲击条件下的半无限大体,基于非傅立叶热传导模型分析了温度场、应力场和单边裂纹的应力强度因子,并与基于傅立叶热传导模型分析的结果进行了比较.研究表明在半无限大体表面附近或裂纹较短时,基于非傅立叶热传导模型得到的应力最大值或应力强度因子最大值比基于傅立叶热传导模型得到的结果大,而在半无限大体内部或裂纹较长时,结果相反.  相似文献   

3.
固体非傅立叶温度场的时域间断Galerkin有限元法   总被引:1,自引:0,他引:1  
运用时域间断Galerkin有限元法[1],对高频非傅立叶热波动问题[2-3]进行分析。其主要特点是:取温度及温度的时间导数为基本未知量,对其分别进行3次Hermite插值和线性插值。在保证节点温度自动保持连续的基础上,温度的时间导数在离散时域存在间断。数值结果表明所提出的方法能够滤掉虚假的数值震荡,能够良好地模拟固体中的非傅立叶热波动行为。  相似文献   

4.
将非傅立叶热传导模型(用于超薄热涂层)与傅立叶热传导模型(用于结构层)相结合 求解温度场,运用有限元法求解热涂层热应力和裂纹驱动力,并分析结构层材料热扩散系数 的变化对热涂层的热力学性能(温度场、应力场和断裂性能)的影响. 研究表明,结构层材 料性能变化对温度场的影响主要表现在热冲击后期,对热应力和裂纹尖端驱动力后期的变化 也有一定的影响.  相似文献   

5.
在加热妒内,由于高温及重力作用,板坯两端的悬臂将产生下桡变形。悬臂越长,下桡将越大,导致悬臂下桡部分与出口端墙相碰,影响出料而造成事故。本文对加热炉内板坯的下桡变形进行了分析计算。首先,建立了板坯的二维非稳态导热模型并用有限差分法计算了炉内板坯随时间的温度变化;然后建立了板坯悬臂粘塑性变形模型,用有限元法计算了高温条件下由重力引起的悬臂的下桡变形。由此理论模型计算出的板坯抽出温度与悬臂端下桡量与实测结果吻合良好,说明该理论模型及模型计算方法是正确的,可用于对装钢生产进行指导。  相似文献   

6.
建立了非补偿微热量热法测定圆筒体炸药试样导热系数的实验装置和方法,测定了聚四氟乙烯、有机玻璃、高密聚乙烯三种标准物质及JH-9105、JOB-9003、JO-9159、JO-9185、JOB-9006、JB-9001等六种塑料粘结炸药在298.2K下的导热系数,对非补偿测定法与补偿测定法进行了对比。结果表明:非补偿法与补偿法测试准确度相当,但测试时间大大缩短  相似文献   

7.
建立了非补偿微热量热法测定圆筒体炸药试样导热系数的实验装置和方法,测定了聚四氟乙烯、有机玻璃、高密聚乙烯三种标准物质及JH-9105、JOB-9003、JO-9159、JO-9185、JOB-9006、JB-9001等六种塑料粘结炸药在298.2K下的导热系数,对非补偿测定法与补偿测定法进行了对比。结果表明:非补偿法与补偿法测试准确度相当,但测试时间大大缩短。  相似文献   

8.
周期性结构热动力时间-空间多尺度分析   总被引:1,自引:0,他引:1  
张洪武  张盛  毕金英 《力学学报》2006,38(2):226-235
研究一种时间-空间多尺度渐近均匀化分析方法,模拟不同的极端热和动力载荷下微尺度多 相周期性结构中热动力响应问题,并建立一个广义的波动函数场控制方程描述热动力响应. 通过引入一个放大空间尺度和两个缩小时间尺度,在不同时间尺度上获得由空间非均匀性引 起的波动效应和非局部效应. 根据高阶均匀化理论在空间和时间上进行均匀化,获得高阶非 局部函数场波动方程. 并进一步用C0连续修正了高阶非局部函数场波动方程的有限元近 似解,使问题的求解避免了对有限元离散的C1连续性要求. 并与经典的空间均匀化方法 相比较,指出了经典的空间均匀化方法的局限性,进一步以一维非傅立叶热传导和热动力问 题为例,讨论了各种情况下方法的正确性与有效性.  相似文献   

9.
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。  相似文献   

10.
通过对颗粒体系接触过程的运动学和动力学分析,建立了一种基于超二次曲面的非球形离散单元模型,该模型避免了球形接触模型描述颗粒形状的局限性,使离散单元法更接近物理事实,并在此基础上提出了计算求解模型的数值方法,实现了对复杂形状的颗粒体系的模拟计算。将所建立的数值计算方法进行了编程实现,并对模型和算法进行了算例测试,证实了本文所建立的非球形离散单元模型的可行性和正确性。测试结果表明,本文的模型能够比较准确地模拟复杂颗粒体系的真实运动,可为复杂颗粒体系的模拟研究提供一种新的数值计算方法。  相似文献   

11.
非傅里叶热传导研究进展   总被引:20,自引:1,他引:19  
张浙  刘登瀛 《力学进展》2000,30(3):446-456
傅里叶定律能够精确描述大多数的热传导问题,但对于超短脉冲激光加热等热作用的周期时间极短的超急速、超常规热传导等问题,非傅里叶效应将会显得至关重要.对非傅里叶热传导的实质、模型、模型的求解及应用与实验等几个方面的研究进展做了一个较详尽的概括与评述,并指出了今后需要着重研究的方向.  相似文献   

12.
The non-Fourier axisymmetric (2+1)-dimensional temperature field within a hollow sphere is analytically investigated by the solution of the well-known Cattaneo–Vernotte hyperbolic heat conduction equation. The material is assumed to be homogeneous and isotropic with temperature-independent thermal properties. The method of solution is the standard separation of variables method. General linear time-independent boundary conditions are considered. Ultimately, the presented solution is applied to a (1+1)—as well as a (2+1)—dimensional problem, and their respective non-Fourier thermal behavior is studied. The present solution can be reduced to special cases of interest by choosing appropriate boundary conditions parameters. Dedicated to Prof. Gholamali Atefi, with appreciation and admiration on the occasion of his 65th birthday.  相似文献   

13.
The design of thermoelastic damping (TED) affected by the phase-lagging non-Fourier heat conduction effects becomes significant but challenging for enlarging the quality factor of widely-used microresonators operating in extreme situations, including ultra-high excitation frequency and ultra-low working temperature. However, there does not exist a rational method for designing the TED in the framework of non-Fourier heat conduction law. This work, therefore, proposes a design framework to achieve low thermoelastic dissipation of microresonators governed by the phase-lagging heat conduction law. The equation of motion and the heat conduction equation for phase-lagging TED microresonators are derived first, and then the non-Fourier TED design problem is proposed. A topology optimization-based rational design method is used to resolve the design problem. What is more, a two-dimensional (2D) plain-strain-based finite element method (FEM) is developed as a solver for the topology optimization process. Based on the suggested rational design technique, numerical instances with various phase lags are investigated. The results show that the proposed design method can remarkably reduce the dissipation of microresonators by tailoring their substructures.  相似文献   

14.
A multiple spatial and temporal scales method is studied to simulate numerically the phenomenon of non-Fourier heat conduction in periodic heterogeneous materials. The model developed is based on the higher-order homogenization theory with multiple spatial and temporal scales in one dimensional case. The amplified spatial scale and the reduced temporal scale are introduced respectively to account for the fluctuations of non-Fourier heat conduction due to material heterogeneity and non-local effect of the homogenized solution. By separating the governing equations into various scales, the different orders of homogenized non-Fourier heat conduction equations are obtained. The reduced time dependence is thus eliminated and the fourth-order governing differential equations are derived. To avoid the necessity of C1 continuous finite element implementation, a C0 continuous mixed finite element approximation scheme is put forward. Numerical results are shown to demonstrate the efficiency and validity of the proposed method.  相似文献   

15.
Heat conduction solutions are presented for the case where the material obeys a non-Fourier conduction law. In contrast to the Fourier law which predicts an infinite speed of heat propagation, the non-Fourier theory implies that the speed of thermal signals are finite. Axisymmetric problems for regions interior and exterior to a circular cylinder are investigated by using methods of Laplace transformation and asymptotic analysis. Comparisons of the temperature profiles are made with Fourier theory for the case of step function temperature boundary conditions.  相似文献   

16.
Distinct non-Fourier behavior in terms of finite propagation velocity and a hyperbolic wave like character of heat conduction has been reported for certain materials in several studies published recently. However, there is some doubt concerning these findings. The objective of this paper is to present experimental evidence for a perfectly Fourier-like behavior of heat conduction in those materials with nonhomogeneous inner structure that have been under investigation in the other studies. This controversy needs to be settled in order to understand the physics of heat conduction in these materials.  相似文献   

17.
In this paper, the non-Fourier heat conduction in a solid sphere under arbitrary surface thermal disturbances is solved analytically. Four cases including sudden, simple harmonic periodic, triangular and pulse surface temperature changes are investigated step-by-step. The analytical solutions are obtained using the separation of variables method and Duhamel’s principle along with the Fourier series representation of an arbitrary periodic function and the Fourier integral representation of an arbitrary non-periodic function. Using these analytical solutions, the temperature profiles of the solid sphere are analyzed, and the differences in the temperature response between the “hyperbolic” and “parabolic” are discussed. These solutions can be applicable to all kinds of non-Fourier heat conduction analyses for arbitrary boundary conditions occurred in technology. And as application examples, particular attention is devoted to the cases of triangular surface temperature change and pulse surface temperature change. The examples presented in this paper can be used as benchmark problems for future numerical method validations.  相似文献   

18.
Electronic transport properties can be influenced by the applied electromagnetic fields in conductive materials. The change of the electron distribution function evoked by outfields obeys the Boltzmann equation. In this paper, a general law of heat conduction considering the non-uniform electromagnetic effect is developed from the Boltzmann equation. An analysis of the equation leads to the result that the electric field gradient and the magnetic gradient in the conductive material are responsible for the influences of electromagnetic fields on the heat conduction process. A physical model is established and finite element numerical simulation reveals that heat conduction can be increased or delayed by the different directions of the electric field gradient, and the existence of the magnetic gradient always hinders heat conduction.  相似文献   

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