VPF用粘性介质粘弹塑性本构模型及参数确定

为确定粘性介质压力成形所采用的粘性传力介质的材料模型及其参数,对粘性介质剪切蠕变-回复实验结果进行分析,提出采用粘弹塑性材料模型描述粘性介质变形行为.将粘性介质的总变形分解为弹性分量、粘弹性分量和粘塑性分量,对实验结果进行拟合分析,分别确定了粘性介质变形的各个应变分量与应力之间的关系,最终建立了所选用的粘性介质粘弹塑性模型,为数值模拟粘性介质变形行为提供了依据.     

复合材料蠕变本构关系及实验测定Ⅰ.本构关系

蠕变是复合材料最重要的力学性能之一,实验表明:复合材料在蠕变条件下的变形可以分为弹性变形、粘弹性变形和粘塑性变形.应用不可逆过程的热力学和广义变量的概念可以分析材料的蠕变变形.本文首先回顾了热力学的基本方程;基于Schapery本构关系的假设和思路推导了蠕变本构关系的一般形式,其中包括弹性变形、粘弹性变形和粘塑性变形;考虑到广义力选取的不唯一性,本文提出了广义力选取的原则以使得到的本构关系尽可能地简单;由此本文给出了复合材料的一维蠕变,各向同性复合材料的二维蠕变和纤维增强复合材料平面内的蠕变的本构关系.     

基于不可逆内变量热力学的岩石材料粘弹-粘塑性本构方程

岩石材料的粘弹性和粘塑性变形是与时间相关的能量耗散行为。在Rice不可逆内变量热力学框架下,引入两组内变量分别用来描述在粘弹性和粘塑性变形过程中材料的内部结构调整。通过给定比余能的具体形式和内变量的演化方程,推导出内变量粘弹-粘塑性本构方程。粘弹性本构方程具有普遍性,能涵盖Kelvin-Voigt和Poynting-Thomson在内的经典粘弹性模型的本构方程。并指出热力学力与应力呈线性关系是组合元件模型为线性模型的根本原因。粘塑性本构方程能较好地刻画岩石材料在粘塑性变形过程中的硬化现象。对模拟岩石的模型相似材料进行单轴加卸载蠕变试验,将蠕变过程中的粘弹性和粘塑性变形分离并根据试验数据对本构方程的材料参数进行辨识。试验数据和理论曲线对比结果表明该文提出的本构方程能很好地模拟材料的蠕变行为。该类型的本构方程能为岩石工程的长期稳定性的预测、评价以及加固分析提供基础。     

船用高分子材料压缩蠕变特性研究

研究了四种船用高分子材料的蠕变特性,分析了其压缩蠕变曲线特点,以及试验中弹性变形、粘弹性变形及粘性变形在总变形中所占比例,最后建立材料压缩蠕变的Burgers模型,得到了试验数据的拟合方程和拟合曲线。由实测曲线和拟合曲线可知,利用Burgers模型可以准确分析试验期间材料的蠕变性能,并能较好地预测材料后期的蠕变行为。     

粘着应力拉伸过程数值模拟及粘着应力模型

为了精确计算粘性介质压力成形过程中粘性介质/板材界面粘性附着作用,分析了压力、剪切速率、温度等因素对粘着应力的影响,提出了粘着应力计算模型.将提出的粘着应力模型引入有限元分析软件中,对粘着应力拉伸过程进行了数值模拟,并将计算结果与试验结果进行对比,验证提出模型的可靠性.结果表明:采用建立的模型预测的试样伸长量及应变分布与实验测量结果具有较好的一致性.说明建立的粘着应力模型可以准确反映板材/粘性介质界面粘着应力大小,为精确模拟粘性介质压力成形过程提供了模型.     

粘弹性材料的ADF模型研究

采用GA-BFGS混合遗传算法建立了一套确定粘弹性模型参数的方法,对ADF模型进行参数拟合,并与标准流变模型,GHM模型及试验结果进行了比较。基于ADF模型的本构方程和控制方程,建立了粘弹性自由层阻尼悬臂梁的有限元方程。算例表明,本文确定模型参数的方法是有效的;同时通过对自由层悬臂梁的有限元模态分析,表明ADF模型在描述粘弹性材料本构关系中具有结构简单,计算精确,方便和有限元相结合的特点。     

沥青砂混合料粘弹塑力学特性研究

在0.1MPa、0.15MPa、0.2MPa、0.25MPa和0.3MPa下进行了沥青砂试样单轴压缩和蠕变实验,分析了其压缩和蠕变性质,根据变形机理提出了粘弹塑本构模型可由粘弹性和粘塑性的两个子模型串联构成,通过对粘塑性子模型中粘性系数进行改进,理论推导了模型蠕变本构方程,确定了模型参数,并求得模型参数与加载应力函数关系。进行模型预测与实验结果对比,结果表明:该模型能够描述沥青砂试样在不同应力下蠕变变形的3个阶段,反映了沥青砂混合料粘弹塑变形特点。     

轴向运动粘弹性夹层梁热力耦合振动频率分析

研究了温度场与位移场相互耦合时,轴向运动粘弹性夹层梁的横向振动特性。基于Euler-Bernouli梁理论和Kelvin粘弹性材料本构关系,建立了轴向运动粘弹性夹层梁横向振动控制方程;考虑材料变形与传热的相互影响,得到相应的热力耦合状态下轴向运动粘性夹层梁的耦合控制方程。采用Galerkin截断得到相应的热力耦合动力系统。用数值方法分析了相关热参数对梁振动频率的影响。     

7050铝合金蠕变时效成形本构模型研究

为研究7050T451铝合金蠕变时效本构模型,在160℃、不同应力条件下进行单轴拉伸蠕变试验,分析了蠕变应变、屈服强度和微观组织随时间的变化规律.基于高强铝合金析出强化理论,建立了能描述蠕变时效成形宏观及微观变化的本构方程,并运用遗传算法对材料常数进行拟合优化.研究表明,该模型在不同应力水平下与试验结果吻合良好,能够用来模拟分析蠕变时效成形过程.     

竖向集中力作用下分数导数型半无限体粘弹性地基变形分析

研究成果表明地基土体具有粘弹性性质,在长期荷载作用下会产生蠕变变形。为了准确预测地基变形,必须建立精确的土体本构模型。分数导数粘弹性模型具有精确度高,确定模型所需的实验参数少,应用范围广的特点。针对半无限体粘弹性地基,采用分数导数粘弹性本构模型模拟土的力学行为,运用弹性-粘弹性对应原理分析了粘弹性地基的变形。研究发现,采用分数导数粘弹性本构模型得到的地基沉降量较经典粘弹性模型要小,经典粘弹性模型不能很好地反映集中力对周围地基沉降的影响以及地基的蠕变性质。     

Micromechanical modelling of viscous sintering and a constitutive equation with sintering stress

The sintering stress is defined for viscous sintering, where the deformation of particles takes place, and its magnitude is computed by the viscoplastic finite element method using a micromechanical model. The computed sintering stress is compared with existing models for other sintering mechanisms. Although modelling of the sintering process is different, a similar tendency of the change in sintering stress with densification is observed. The influence of the sintering mechanism on the sintering stress is discussed. A constitutive law is developed by introducing the sintering stress, approximated by a simple equation, into the constitutive equation for viscous porous materials and applied to the sintering of polycrystalline materials. Grain boundary diffusion and grain growth are taken into consideration through the viscosity in the constitutive equation. The sintering curve calculated by the constitutive equation shows good agreement with the experimental data.     

反向压力对板材粘性介质压力胀形的影响研究

为研究带有反向压力粘性介质压力胀形过程中接触条件对板材成形性的影响规律,利用DEFORMTM-2D结合韧性断裂准则对覆层板粘性介质压力胀形过程进行有限元分析.结果表明:接触表面无摩擦单纯依靠反向压力能够提高板材成形极限,随着接触表面摩擦系数增大,板材壁厚分布愈均匀,板材的破裂位置由试件顶端转移到凹模圆角处,板材成形极限显著提高.因此,在三维应力状态下有效控制板材所受法向压力和界面摩擦力可以提高板材成形性.     

泡沫塑料包装衬垫缓冲性能建模

本文从非线性粘弹性物质的多重积分型本构方程出发,引入塑性应变,推导了粘弹塑性物质的微分型本构方程.进一步考虑材料的损伤特性,建立了泡沫塑料包装衬垫的缓冲性能模型.根据在一种跌落高度、衬垫厚度和静态应力组合条件下的国产可发聚苯乙烯沫泡塑料的连续多次跌落冲击试验数据,识别了其缓冲性能模型参数.动力学计算与试验结果的比较表明,该模型能较好地反映可发聚苯乙烯泡沫塑料包装衬垫在连续多次跌落冲击过程中的加速度、速度、位移变化,冲击能量的吸收性和塑性变形等基本特性.并且仅根据在一种组合条件下的试验数据所识别的这一模型,在其它组合条件下其缓冲性能与试验结果也吻合较好.     

Theory of fabric-reinforced viscous fluids

Constitutive equation are formulated for flow of fabric-reinforced composite materials which show viscous response at the forming temperature. It is shown that in general the characterization for linear viscous response involves five viscosity coefficients, but this number may be reduced as a result of material symmetry of the fabric. In the case in which the material is a plane sheet, the rheological behaviour is described by a single function of the current angle between the fibre directions. The theory is applied to the analysis of the ‘picture-frame’ experiment, and it is shown that this experiment provides a method of measuring the response function. The effect of symmetry of the fabric architecture is considered, and it is found that for some fabric symmetries the theory allows the possibility of different responses to in-plane shearing in different shearing directions, as has been observed in picture-frame experiments. The general theory for nonlinear viscosity is also formulated, and specialized to the analysis of plane sheets, and in particular to the case of a power law fluid. In this case also, it is shown that the material can be characterized by a single response function of the rate-of deformation and the angle between the fibre directions.     

On the nonlinear viscoelastic behaviour of nylon fiber

Nonlinear time-dependent stress relaxation was determined experimentally in nylon fiber in the small strain domain. This process is accounted for on the basis of a quasi-linear viscoelastic theory. A nonlinear modified constitutive equation for the viscoelastic medium is deduced. In processing the experimental data it turned out to be necessary to keep the nonlinear terms up to cubic in the constitutive equation for nylon fiber. The elastic and rheological constants in the constitutive equation for nylon fiber are evaluated.     

Experimental measurement and predictive modelling of bending behaviour for viscous unidirectional composite materials

It is widely accepted that the key deformation mechanisms during forming of viscous textile composite (prepreg) sheets are in-plane shear and out-of-plane bending. This paper focuses on the bending deformation mechanism, including experimental characterisation and theoretical modelling of bending behaviour during viscous composite forming. Experimental measurements are obtained by means of a large-displacement buckling test at a variety of displacement rates and temperatures. Some important aspects, such as viscoelastic behaviour, are also investigated. A bending model based on elastic theory combined with uniaxial continuum theory for ideal fibre-reinforced fluids for viscous shear deformation has been developed, using material parameters obtained from industrial manufacturers as input data, such as composite geometry, fibre properties, fibre volume fraction and matrix rheology. Model predictions demonstrate that the model can capture the main characteristics of material properties, such as rate dependence. This bending model can be used in formability analysis for viscous unidirectional composite materials, and might be applied in a finite element forming simulation to account for the bending stiffness.