Constitutive Equation of flexible media and Simulation Method

柔性物质传递变形行为分析理论研究本项目中的柔性物质是指纸张、薄膜或其他柔性物体，“传递”是指由于打印机或复印机的滚筒转动而使其移动；通过传送带传送纸张，例如在票据分配器中也被分类在这里。本项目以建立“纸”在输送过程中的变形行为分析系统为最终目标，我们设定了以下两个目标：一是建立控制纸在辊筒或皮带输送过程中弹塑性变形的本构方程；二是开发柔性结构在运输过程中的数值模拟分析系统。得到的结果如下：1。通过拉伸试验、弯曲试验和微压缩试验，明确了涂布在纸张表面的碳粉对纸张弹性模量的影响；弯曲特性取决于弯曲的方向。我们开发了一种测量上述材料特性的方法；然后建立了描述塑性变形过程中各向异性行为的基本方程。这可以纳入运输过程中的行为分析。研究并明确了温度和湿度对纸张杨氏模量的影响。为了研究纸张的屈服和本构行为，我们对纸张进行了厚度方向的压缩，并测量了压缩条件与塑性变形的关系。建立了描述其在搬运过程中变形的本构方程，并计算了变形过程中的应力状态。我们将计算结果与实验结果进行了比较，并讨论了方程的可行性。

A Study of Theory for Analysis of Deformation Behavior in Conveyance of Flexible Matters "Flexible matters" in this project refer to paper, thin film or other flexible objects, and "conveyance" refers to their movement due to the rotation of the rollers in printers or copying machines; transferring of paper by belts such as in bill dispensers is also categorized herein.In this project, we have set the following two objectives with a view to establishing an analyzing system for the deformation behavior of "paper" during conveying process as a final goal: the first is to develop constitutive equations that govern elasto-plastic deformation of the paper when transferred by rollers or belts; the second to develop a numerical analysis system for simulating behavior of those flexible structures during conveyance. The obtained results are as follows:1. We made clear the effect of toner that coats the surfaces of the paper on the elastic modulus of the paper by tensile test, bending and compression by mico-compression test; bending characteristics depended on the direction of bending.2. We developed a method of measuring the above material characteristics; and then we built up fundamental equations that describe the anisotropic behavior during plastic deformation. This could be incorporated into the analysis of behavior during conveyance.3. We investigated and made clear the effect of temperature and humidity on Young's modulus of the paper.4. To investigate the yield and constitutive behavior of the paper, we performed compression of the paper in its thickness direction and measured the relationship between compression condition and the plastic deformation.We developed constitutive equations of the paper that describe its deformation during conveyance, and calculated the stress state during deformation. We compared the results with experimental ones and discussed the viability of the equations.