ABSTRACT The identification of the stress-strain curve of metal strips is a common task in the metals industry. As an alternative to commonly used tensile test machines, an inexpensive, model-based optical measurement method is presented. Particular importance was placed on the cost and usability of the method. The indirect approach computes the stress-strain curve based on a measured strip bending line. For the measurement, a metal strip is bent over a solid roll. A defined weight can be mounted at the end of the strip to control the local bending moment in the strip. The bending line of the strip is optically measured by a camera. The identification is carried out based on an optimization problem, where the quadratic error between the measured and the modelled strip bending line is minimized. Experimental results and measurements from a tensile test machine show a good agreement and thus verify the proposed identification method.

中文翻译：

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基于模型的金属带应力应变曲线估计

摘要 金属带材应力-应变曲线的识别是金属行业的一项常见任务。作为常用拉伸试验机的替代方案，提出了一种廉价的、基于模型的光学测量方法。特别重要的是该方法的成本和可用性。间接方法根据测量的带钢弯曲线计算应力-应变曲线。为了进行测量，金属带在实心卷上弯曲。可以在带材的末端安装定义的重量，以控制带材的局部弯矩。带材的弯曲线通过相机进行光学测量。识别是基于优化问题进行的，其中测量的和建模的带材弯曲线之间的二次误差最小化。