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Semi-analytic inversion method for the determination of elastoplastic properties of power hardening materials from limited torsional experiment

机译:通过有限扭转试验确定动力硬化材料弹塑性的半解析反演方法

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摘要

An inverse problem related to the determination of elastoplastic properties of a beam is considered within J 2 deformation theory. A new fast algorithm is proposed for the identification of elastoplastic properties of engineering materials. This algorithm is based on finding the three main parameters of the unknown curve g(ξ2) (plasticity function), namely, the elasticity limit , the modulus of rigidity G and the strain hardening exponent κ. The advantage of this algorithm is that only two values of measured output data are required for the reconstruction of the unknown function g(ξ2). Note that all parameterization algorithms use numerous torsional experiments as necessary data for the determination of only some part of the unknown stress-strain curve. Numerical examples related to applicability and high accuracy of the proposed approach are presented for the cases of noise free and noise data.
机译:在J 2 变形理论中考虑了与确定梁的弹塑性有关的反问题。提出了一种新的快速识别工程材料弹塑性特性的算法。此算法是基于找到未知曲线g(¾ 2 )(可塑性函数)的三个主要参数,即弹性极限,刚度G和应变硬化指数。此算法的优点是,重构未知函数g(^ 2 )仅需要两个输出值即可。请注意,所有参数化算法均使用大量扭转实验作为必要数据,以便仅确定未知应力-应变曲线的某些部分。针对无噪声和噪声数据的情况,给出了与该方法的适用性和高精度相关的数值示例。

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  • 来源
    《Inverse Problems in Science and Engineering》 |2010年第2期|p.265-278|共14页
  • 作者

    Alemdar Hasanov Salih Tatar;

  • 作者单位

    Department of Mathematics and Computer Sciences, Izmir University, 35350 Uckuyular, Izmir, Turkey;

    Department of Mathematics, Kocaeli University, Kocaeli, Turkey;

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  • 正文语种 eng
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