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以大型商用有限元软件ABAQUS为计算平台,提出了正交各向异性复合材料结构材料参数的识别方法。将材料参数识别的问题转化为极小化目标函数的问题,其中目标函数定义为测量位移与有限元计算的相应位移之差的平方和。采用Levenberg-Marquardt方法极小化目标函数,其中灵敏度的计算基于复合材料的有限元离散结构的求解方程对识别的材料参数求导。数值算例表明本文中提出的方法是有效的。在识别参数过程中,参数的初值以及搜索范围的确定对于识别结果有着重要影响。因此必须充分利用材料参数的先验信息。ABAQUS是高效可靠的商用有限元软件,提出的参数识别方法基于这类商用软件,因而该方法有很强的实用性。
Based on ABAQUS, a large-scale commercial finite element software, the identification method of the material parameters of orthotropic composite materials is proposed. The problem of material parameter identification is transformed into the problem of minimizing the objective function, where the objective function is defined as the sum of squares of the differences between the measured displacements and the corresponding displacements calculated by the finite element method. The Levenberg-Marquardt method is used to minimize the objective function, and the sensitivity calculation is based on the solution of the finite element discrete structure of the composite material to derive the identified material parameters. Numerical examples show that the proposed method is effective. In the process of identifying parameters, the initial value of the parameters and the determination of the search range have an important influence on the recognition result. Therefore, prior knowledge of material parameters must be fully utilized. ABAQUS is an efficient and reliable commercial finite element software. The proposed parameter identification method is based on this kind of commercial software, so the method is very practical.