标题： 塑性函数中幂硬化材料参数的同时识别：一种贝叶斯方法 显示英文标题

标题： Simultaneous identification of the parameters in the plasticity function for power hardening materials : A Bayesian approach

摘要： 在本文中，我们研究反问题中应变硬化指数、剪切模量和屈服应力的同时确定。 首先，我们分析直接问题和反问题。 然后，我们将反问题公式化为贝叶斯框架。 在通过迭代方法求解直接问题后，我们提出一种基于贝叶斯方法的数值方法，用于反问题的数值求解。 带有噪声数据的数值例子在一定程度上说明了所提出方法的适用性和准确性。 显示英文摘要

摘要： In this paper, we study simultaneous determination of the strain hardening exponent, the shear modulus and the yield stress in an inverse problem. First, we analyze the direct and the inverse problems. Then we formulate the inverse problem in the Bayesian framework. After solving the direct problem by an iterative approach, we propose a numerical method based on a Bayesian approach for the numerical solution of the inverse problem. Numerical examples with noisy data illustrate applicability and accuracy of the proposed method to some extent.\