共查询到18条相似文献,搜索用时 218 毫秒
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HT-7U托克马克装置的纵场线圈是由多种材料组成的具有周期性分布的大型复杂结构,线圈可视为由超导线、支撑结构和绝缘材料组成的复合材料,结构极其复杂。整个线圈工作在液氦温区。在设计阶段对其宏观等效力学性能进行数值分析计算是十分必要的,但要对整个线圈直接进行有限元分析或实验是极其困难的,主要利用均匀化方法对其进行等效处理,从而分析计算其宏观等效模量,为线圈的设计和评估提供参考依据。另外本文对均匀化方法的边界条件进行了一些改进,提出了更加合理的三维边界条件。 相似文献
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复合材料应力分析的均匀化方法 总被引:29,自引:2,他引:29
建立了基于均匀化理论的确定复合材料结构应力场的方法.其实质是用均质的宏观结构和非均质的具有周期性分布的细观结构描述原结构;将力学量表示成关于宏观坐标和细观坐标的函数,并用细观和宏观两种尺度之比为小参数展开,用摄动技术将原问题化为一细观均匀化问题和一宏观均匀化问题.这两个问题的解确定了包含等效位移和一阶近似位移的位移场,由此获得应力场.利用该方法给出了圆柱形孔隙材料和单向纤维复合材料在单向拉伸时的应力场以及空隙材料简支梁的局部应力场,说明了该方法的有效性 相似文献
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含微裂纹和椭球颗粒介质的强度及本构关系 总被引:8,自引:0,他引:8
针对含随机分布微裂纹及椭球颗粒的复合材料,通过考虑椭球颗粒内的本征应变及其与微裂纹的相互作用,利用等效夹杂方法研究了微裂纹损伤对材料有效模量和强度的影响,推导了复合材料的细观应力场及本构关系,并导出了材料破坏的临界条件. 相似文献
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复合材料中的渐近均匀化方法 总被引:7,自引:0,他引:7
本文将非均质弹性体的渐近均匀化方法应用于复合材料的宏观与细观分析之中。该方法基于平均化的思想,将复合材料视作由周期性的细观结构所构成,其场变量依赖于宏观和细观两个尺度的坐标变量而变化。通过建立位移和应力的渐近表达式,推导出关于周期性基元的细观平衡方程和细观本构关系,并与有限元数值方法相结合,得到材料的宏观等效性能和细观应力分布。对典型算例的分析,反映出该方法的有效性及准确性。 相似文献
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本文提出了随机点场理论用于研究含有随机夹杂的统计非均匀介质。本文不同于其它作者,一般均将随机理论建立在Eshelby的等效夹杂原理之上,而这里是建立在Kunin的微结构理论基础之上。作为理论的一个应用,本文对复合材料的有效模量及夹杂内部及周围微观场进行了计算。 相似文献
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颗粒增强复合材料有效性能的三维数值分析 总被引:9,自引:0,他引:9
将细观力学和计算力学方法相结合用以确定复合材料中的局部和平均应力-应变场.对旋转体和非旋转体颗粒增强复合材料的有效模量进行了三维有限元数值计算,数值与实验结果对比表明,该方法是有效的、可靠的.分析了颗粒的排列分布、颗粒取向和颗粒的几何形状对有效模量的影响.数值结果表明,颗粒的排列对有效轴向弹性模量影响较大.颗粒的取向和颗粒的形状对有效性能的影响也是显著的 相似文献
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三维非均匀脆性材料破坏过程的数值模拟 总被引:32,自引:1,他引:32
采用有限元方法模拟了三维均匀固体材料在宏观等效力学性质和破坏过程。首先采用格形(lattice)方法把试件离散成三维均匀网格,在每个单元格中将材料按照均匀处理,根据给定的统计规则来确定不同单元格中的材料常数以反映材料的非均匀性。然后对非均匀脆性材料选用简单的本构关系与断裂准则,采用自适应选取载荷步长对试件进行加载,通过非平衡迭代技术对刚度矩阵进行不断修正,实现了非均匀脆性材料的弹性行为及破坏过程的数值模拟。在此基础上,通过数值计算研究了材料的非均匀分布对宏观等效力学性质和破坏过程的影响,给出了破坏全过程的非线性载荷-位移曲线以及不同载荷阶段的三维损伤破坏的演化图。 相似文献
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Vladimir Kobelev 《Meccanica》2006,41(6):653-660
Failure of a composite is a complex process accompanied by irreversible changes in the microstructure of the material. Microscopic
mechanisms are known of the accumulation of damage and failure of the type of localized and multiple ruptures of the fibers
delamination along interphase boundaries, and also mechanisms associated with fracture of fibers. In this work, we propose
a mathematical model of the local mechanism of failure of a composite material randomly reinforced with a system of short
fibers. We implement the Cosserat moment model of crack tip for filament material, reinforced with whiskers or in fiber- reinforced
polycrystalline materials. It is assumed that the angular distribution of the fibers is isotropic and the elastic characteristics
of the fibers are considerably higher than the elastic constants of the matrix. We implement the homogenization procedure
for the effective Cosserat constants similarly to the effective elastic constants. The singular solution in the vicinity of
the crack tip in the Cosserat moment model is found. Using this solution, we examine the bending stresses in the filaments
due to effective moment stresses in the material. The constructed model describes the phenomenon of fracture of the fibers
occurring during crack propagation in those composites. The following assumptions are used as the main hypotheses for the
micromechanical model. The matrix contains a nucleation crack. When the load is increased the crack grows and its boundary
comes into contact with the reinforcing fibers. A further increase of the stress causes bending of the fiber. When~the fiber
curvature reaches a specific critical value, the fiber ruptures. If the stress at infinity is given, the fibers no longer
delay the development of failure during crack propagation The degree of bending distortion of the fiber in the vicinity of
the boundary of the crack is determined by the moment model of the material. The necessity to take into account the moment
stresses in the failure theory of the reinforced material was stressed in [Muki and Sternberg (1965) Zeitschrift f angew Math
und Phys 16:611–615; Garajeu and Soos (2003) Math Mech Solids 8(2):189–218; Ostoja-Starzewski et al (1999) Mech Res Commun
26:387–396]. The moment Cosserat stresses were accounted also for inhomogeneous biomechanical materials by Buechner and Lakes
(2003) Bio Mech Model Mechanobiol 1: 295–301. We should also mention the important methodological studies [Sternberg and Muki
(1967) J Solids Struct 1:69–95; Atkinson and Leppington (1977) Int J Solids Struct 13: 1103–1122] concerned with the moment
stresses in homogeneous fracture mechanics. 相似文献
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A computational micro-mechanical material model of woven fabric composite material is developed to simulate failure. The material model is based on repeated unit cell approach. The fiber reorientation is accounted for in the effective stiffness calculation. Material non-linearity due to the shear stresses in the impregnated yarns and the matrix material is included in the model. Micro-mechanical failure criteria determine the stiffness degradation for the constituent materials. The developed material model with failure is programmed as user-defined sub-routine in the LS-DYNA finite element code with explicit time integration. The code is used to simulate the failure behavior of woven composite structures. The results of finite element simulations are compared with available test results. The model shows good agreement with the experimental results and good computational efficiency required for finite element simulations of woven composite structures. 相似文献
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Matthew R. Begley Noah R. Philips Brett G. Compton David V. Wilbrink Robert O. Ritchie Marcel Utz 《Journal of the mechanics and physics of solids》2012,60(8):1545-1560
This paper describes a micromechanical analysis of the uniaxial response of composites comprising elastic platelets (bricks) bonded together with thin elastic perfectly plastic layers (mortar). The model yields closed-form results for the spatial variation of displacements in the bricks as a function of constituent properties, which can be used to calculate the effective properties of the composite, including elastic modulus, strength and work-to-failure. Regime maps are presented which indicate critical stresses for failure of the bricks and mortar as a function of constituent properties and brick architecture. The solution illustrates trade-offs between elastic modulus, strength and dissipated work that are a result of transitions between various failure mechanisms associated with brick rupture and rupture of the interfaces. Detailed scaling relationships are presented with the goal of providing material developers with a straightforward means to identify synthesis targets that balance competing mechanical behaviors and optimize material response. Ashby maps are presented to compare potential brick and mortar composites with existing materials, and identify future directions for material development. 相似文献
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含正交排列夹杂和缺陷材料的等效弹性模量和损伤 总被引:3,自引:0,他引:3
研究含正交排列夹杂和缺陷材料的等效弹性模量和损伤,推导了以Eshelby-Mori-Tanaka方法求解多相各向异性复合材料等效弹性模量的简便计算公式,针对含三相正交椭球状夹杂的正交各向异性材料,得到了由细观参量(夹杂的形状、方位和体积分数)表示的等效弹性模量的解析表达式.在此基础上,提出了一个宏细观结合的正交各向异性损伤模型,从而建立了以细观量为参量的含损伤材料的应力应变关系.最后,对影响材料损伤的细观结构参数进行了分析. 相似文献
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The composite under investigation consists of an elastoplastic matrix reinforced by elastic particles or weakened by pores. The material forming the matrix is pressure-sensitive. The Drucker–Prager yield criterion and a one-parameter non-associated flow rule are employed to formulate the yield behavior of the matrix. The objective of this work is to estimate the effective elastoplastic behavior of the composite under isotropic tensile and compressive loadings. To achieve this objective, the composite sphere assemblage model of Hashin [Z. Hashin, The elastic moduli of heterogeneous materials, ASME J. Appl. Mech. 29 (1962) 143–150] is used. Exact solutions are thus derived as estimations for the effective secant and tangent bulk moduli of the composite. The effects of the loading modes and phase properties on the effective elastoplastic behavior of the composite are analytically and numerically evaluated. 相似文献
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《International Journal of Solids and Structures》2007,44(21):6891-6913
A concurrent micromechanical model for predicting nonlinear viscoelastic responses of particle reinforced polymers is developed. Particles are in the form of solid spheres having micro-scale diameters. The composite microstructures are idealized by periodically distributed cubic particles in a matrix medium. Each particle is assumed to be fully surrounded by polymeric matrix such that contact between particles can be avoided. A representative volume element (RVE) is then defined by a single particle embedded in the cubic matrix. A spatial periodicity boundary condition is imposed to the RVE. One eighth unit-cell model with four particle and polymer subcells is generated due to the three-plane symmetry of the RVE. The solid spherical particle is modeled as a linear elastic material. The polymeric matrix follows nonlinear viscoelastic behaviors of thermorheologically simple materials. The homogenized micromechanical relation is developed in terms of the average strains and stresses in the subcells and traction continuity and displacement compatibility at the subcells’ interfaces are imposed. A stress–strain correction scheme is also formulated to satisfy the linearized micromechanical and the nonlinear constitutive relations. The micromechanical model provides three-dimensional (3D) effective properties of homogeneous composite responses, while recognizing microstructural geometries and in situ material properties of the heterogeneous medium. The micromechanical formulation is designed to be compatible with general displacement based finite element (FE) analyses. Experimental data and analytical micromechanical models available in the literature are used to verify the capability of the above micromechanical model for predicting the overall composite behaviors. The proposed micromodel is also examined in terms of computational efficiency and accuracy. 相似文献
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细观力学理论得到的复合材料内应力是均值应力,在进行破坏和强度预报前,必须转化到真实值.对于短纤维复合材料,除了轴向压缩真实应力外,基体其它方向真实应力计算已得到解决,等于其均值应力乘以基体应力集中系数.论文基于弹性力学方法得到了短纤维复合材料轴向压缩下基体的应力场,并据此定义基体的轴向压缩应力集中系数.与基体其它方向应... 相似文献