聚氨酯反应注射成型固化过程数值模拟

依据反应动力学和能量守恒方程的基本理论，对聚氨酯反应注射成型的固化过程进行了合理的假设和必要的简化，建立了体系反应程度和温度的数学模型。采用显示有限差分法并结合数学软件Matlab对固化过程进行了动态模拟.结果表明：固化初始的20s内交联反应剧烈。体系迅速升至最高温度，交联度达到80％所需时间与经验值一致．约为17s。同时为优化反应注射成型工艺因素，探讨了催化剂浓度、原料初始温度和模具温度等对体系的影响。结果表明：催化剂浓度增加，使体系固化周期缩短，制品内部交联度的变化减小，但延长了制品处于高温部分的时间；模具温度主要影响制品壁面附近的反应，而物料初始温度则能影响到体系的最高温度，尤其是在低模温情况下更加明显.     

注射成型过程数值模拟的辩证认识

注射成型模拟软件的发展十分迅速,本文从基础层面讨论数值软件的根本问题     

基于SPH方法的微注射成型数值模拟

基于无网格方法和黏性本构方程,开展微注射成型数值模拟的研究。采用光滑粒子流体动力学的粒子近似法离散N-S 控制方程组,求解速度场、压力场、温度场等物理场的变化规律。以应用于生物医学领域带有细微针头的聚合物微针为例,进行充型过程的数值模拟,模拟结果与实验结果基本一致。     

气体辅助注射成型过程的数值模拟技术

本文描述了气体辅助注射成型过程中熔体充填及气体穿入的数学模型,采用有限元／控制体积法计算充填阶段的压力场,确定两类移动边界,熔体前沿和熔体－气体边界。并对典型制件进行模拟验证了模型的可行性。对不同成型参数如熔体充填百分比及气道直径的影响进行了研究,结果表明熔体充填百分比不够,使气体吹入薄壁,较高的充填比又会阻止气体进入气道;较大直径的气道较小直径的气体不易进入薄壁处。     

气体辅助注射成型充填过程的数值模拟

描述了气体辅助注射成型的工艺过程及熔体充填和气体穿入的数学模型,采用有限元/有限差分/控制体积法计算充填阶段的压力场和温度场,确定熔体前沿和熔体/气体界面两类移动边界,并对典型制件充模过程进行了模拟.     

注射微泡成型技术实现工业化前景看好

据了解。由美国麻省理工学院开发的注射微泡成型技术已完成从实验室到工业化的过渡。应用前景十分好。     

微流控芯片注射成型过程的数值模拟研究

以生物测试上广泛使用的微流控芯片为研究对象,研究使用聚合物微型注塑方法进行类似产品大规模、批量化生产的可能性。在建立微流控芯片结构模型的基础上,运用聚合物成型分析软件Moldllow对其在不同工艺参数下的成型过程进行了系统研究。结果表明,熔体温度的改变对充填时间的影响甚微,充填时间随着注射速度的增加而明显缩短,注射压力随熔体温度的增加而减小,随注射速度的增加而增加。增加熔体温度和注射速度可以降低翘曲变形。     

注射成型中聚合物熔体充填流动的数值模拟

在建立聚合物熔体充填三维流道—浇口—型腔系统的数学模型的基础上,采用混合有限元/有限差分方法求解,并对入口结点的压力计算以及熔体前沿推进时时间步长的确定准则作了修改。编制程序实现提出的算法,给出两个算例说明数值模拟的结果。     

注射成型止逆环的数值模拟

止逆环是注射成型机塑化段的关键部件之一,其设计的好坏直接影响机器的性能和制品的质量。利用Fluent有限体积软件对注射成型止逆环中的非牛顿流体等温流动进行了三维模拟分析,得出止逆环流道的速度场和压力场,并对速度场和压力场进行了讨论。利用以上流场计算结果,对止逆环元件的注射特性和混合特性进行了分析。     

顺序共注射成型充填过程的数值模拟

基于Hele Shaw流动模型,推导出顺序共注射成型充填过程的数值模型;并引入厚度分数,采用控制体积法来实现运动界面的追踪。数值模拟结果与moldflow的模拟结果相吻合,并且能够正确反映芯皮层熔体黏度比对注射压力和界面形貌的影响。     

Mathematical modeling and numerical simulation of cell growth in injection molding of microcellular plastics

A mathematical formulation and numerical simulation for non‐isothermal cell growth during the post‐filling stage of microcellular injection molding have been developed. The numerical implementation solves the energy equation, the continuity equation, and a group of equations that describe the mass diffusion of dissolved gas and growth of micro‐cells in a microcellular injection molded part. The “unit‐cell” model employed in this study takes into account the effects of injection and packing pressures, melt and mold temperatures, and super‐critical fluid content on the material properties of the polymer‐gas solution and the cell growth. The material system studied is a microcellular injection molded polyamide 6 (PA‐6) resin. Two Arrhenius‐type equations are used to estimate the coefficients of mass diffusion and solubility for the polymer‐gas solution as functions of temperature. The dependence of the surface tension on the temperature is also included in this study. The numerical results in terms of cell size across the sprue diameter agree fairly well with the experimental observation. The predicted pressure profile at the sprue location has also been found to be in good agreement with the dynamics of the cell growth. Whereas for conventional injection molding the pressure of the system tends to decay monotonously, the pressure profile in microcellular injection molding exhibits an initial decay resulting from cooling and the absence of packing followed by an increase due to cell growth that expands the polymer‐gas solution and helps to pack out the mold uniformly. Polym. Eng. Sci. 44:2274–2287, 2004. © 2004 Society of Plastics Engineers.     

Numerical simulation of mold filling in reaction injection molding

A two dimensional finite element model for the simulation of the advancing front in reaction injection molding (RIM) is presented. The model is based on the solution of the full Navier-Stokes equation for the computation of the velocity and pressure. The arbitrary Lagrange-Euler method is used for the moving front. The method of characteristics is used for the solution of the mass-and energy equations. An automatic remeshing algorithm is used to prevent element distortion and to optimize element size and number. Numerical results are presented for flow into a complex domain in order to illustrate the versatility of the method.     

Numerical simulation of thermoplastic wheat starch injection molding process

A numerical study is carried out on the thermoplastic wheat starch injection molding process. The simulation is performed using currently available molding software to determine optimal molding parameters. The molding of a standardized sample for tensile test is considered. It is shown that the conventional continuum mechanics equations can be used for modeling the injection molding of thermoplastic starch. These equations are solved using the finite element method. Comparisons with some experimental results are presented, indicating good agreement. Data on the processing of thermoplastic starch and several other basic aspects are also provided.     

水辅助注塑中高压水穿透过程的数值模拟

对水辅助注塑(WAIM)中高压水的穿透过程进行有限元模拟,研究熔体的充模行为,并分析其拉伸场和剪切场。结果显示,高压水推动熔体充模的过程可分为填充初期、快速填充期和填充末期3个阶段;较明显的拉伸应变速率仅出现在高压水前沿和熔体前沿区域;高压水前沿区域存在分布较宽且较为强烈的剪切速率,而高压水对已穿透区域的熔体几乎没有剪切作用。此外,模拟所得WAIM制品的穿透长度和掏空率与实验结果较吻合。     

Study of reaction injection molding of polyurethane microcellular foam

Processing of microcellular foam was investigated for the feasibility of production of tough and lightweight polyurethanes. To increase the nucleation rate in a gas-supersaturated resin, ultrasonic excitation was applied to the mixture of polyol(polyether-based polyol) and isocyanate(diphenyl methane diisocyanate). A microcellular structure was produced by two sequential steps, i.e., supersaturationof the polyol resin with nitrogen gas at elevated pressure and ultrasonic bubble nucleation right after the impingement mixing of two components of the polyurethane system. Theoretical analyses based on nucleation theories were employed to predict the rate of nucleation in the gas-supersaturated polyurethane. The rate of nucleatio in the resin was predicted by classical nucleation and cluster theories. In the experimental investigation, ultrasonic excitation was applied to increase the nucleation rate in the resin that had been saturated by nitrogen at a saturation pressure < 2.0 MPa.     

气辅成型过程中可压缩空气流动数值模拟

气辅成型技术能够有效地改善产品力学性能、提高产品的质量,因此在注射成型生产中应用广泛,与之相应的气辅成型CAE技术也得到了快速发展。当前的气辅成型CAE技术中假定空气为不可压缩流体,忽略了空气的可压缩性,因此研究气辅成型过程中可压缩空气的流动行为具有一定的实际意义。针对气辅成型过程中可压缩空气流动的复杂行为,基于假设将复杂的三维(3D)流动问题转化为二维(2D)。采用 CBS方法建立2D瞬态可压缩空气流动的有限元分析模型,求解算法采用预共轭梯度法,并用VC++完成了算法编制,实现了可压缩空气流动过程的数值模拟,其压力结果可作为充填流动分析的基础数据。     

Numerical simulation and experimental verification of the filling stage in injection molding

The linear low‐density polyethylene melt is described by the modified Cross model, the dependence of melt viscosity on temperature incorporated with the Arrhenius equation, and the Moldflow second‐order model in this investigation. The mass, momentum conservation, and constitutive equations are discretized and solved by using the iterative stabilized fractional step algorithm along with the Crank–Nicolson implicit difference scheme. The energy conservation equation is discretized with the characteristic Galerkin approach. The free surface of molten polymer flow front is tracked by the arbitrary Lagrangian–Eulerian (ALE) method. It is demonstrated that good agreement of the numerical predictions given by the proposed ALE method with the results obtained by the injection short‐shot experiments is achieved in the locations and shape of the melt front. Furthermore, when the melt front completely reaches the wall of the mold cavity, the horizontal velocity distribution of counterflow at the section near the finally filling wall is exhibited in the present simulation. POLYM. ENG. SCI., 2012. © 2011 Society of Plastics Engineers     

Numerical simulation of fiber orientation in injection molding of short-fiber-reinforced thermoplastics

The present study develops a numerical simulation program to predict the transient behavior of fiber orientations together with a mold filling simulation for short-fiber-reinforced thermoplastics in arbitrary three-dimensional injection mold cavities. The Dinh-Armstrong model including an additional stress due to the existence of fibers is incorporated into the Hele-Shaw equation to result in a new pressure equation governing the filling process. The mold filling simulation is performed by solving the new pressure equation and energy equation via a finite element/finite difference method as well as evolution equations for the second-order orientation tensor via the fourth-order Runge-Kutta method. The fiber orientation tensor is determined at every layer of each element across the thickness of molded parts with appropriate tensor transformations for arbitrary three-dimensional cavity space.     

Numerical simulation of reactive injection molding in a radial flow geometry

The radial flow of a chemically reactive fluid between two parallel circular disks during the process of Reactive Injection Molding (RIM) has been simulated in a decelerative, non-isothermal, transient flow environment. The effects of key operating and system parameters (feed temperature, volumetric flow rate, reaction rate, and cavity thickness) on velocity, conversion, and temperature profiles which occur in this decelerative flow environment were determined. A catalyzed, unfilled polyurethane RIM system was modeled by a linear step polymerization scheme using average literature values for the reaction rate, and thermodynamic and constitutive parameters. The numerical solution was achieved using the method of lines and upwind approximations of the spatial derivatives. The geometry studied (two parallel, center gated circular disks) models flow patterns in commercial RIM processes more realistically than the rectangular flow between two parallel surfaces (studied by previous workers) in which the average velocity is constant along the length of the mold. This simulation predicts the accumulation of high polymer near the entrance to the mold and near the outer edge of the cavity in fast reactive systems. The accumulation of material near the gate results in viscous heat generation and a maximum in temperature in the region immediately downstream from the restriction.     

Computer simulation of injection molding

The injection-molding process consists of three consecutive stages: filling, packing, and cooling. In order to obtain some insight into the phenomena involved in the process, and particularly in order to evaluate the moldability of certain resins and to predict the microstructure and properties of products molded therefrom, a number of workers have employed a variety of techniques based on mathematical simulation of the process. Mathematical simulation involves writing the relevant continuity, momentum, and energy equations governing the system, with appropriate boundary and initial conditions representing the prevailing conditions in the cavity and delivery channels. In order to obtain meaningful solutions to the above equations, detailed information is required regarding the thermodynamic, thermal, and rheological properties of the resin. Moreover, the prediction of the microstructure and ultimate properties of the molded article requires a knowledge of the morphological, crystallization, and orientation phenomena that take place under the influence of the thermo-mechanical history experienced by the resin. The complexity of the equations involved results in the utilization of a number of simplifying assumptions and the resort to computer simulation and numerical solutions of these equations. A variety of numerical schemes based on finite difference and finite element methods has been employed by various researchers.