Finite element response sensitivity analysis of multi-yield-surface J2 plasticity model by direct differentiation method
Finite element response sensitivity analysis of multi-yield-surface J2 plasticity model by direct differentiation method
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DOI：
10.1016/j.cma.2009.02.030
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发表时间：
2009-06
影响因子：
7.2
通讯作者：
Q. Gu;J. Conte;A. Elgamal;Z. Yang
中科院分区：
文献类型：
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作者：
Q. Gu;J. Conte;A. Elgamal;Z. Yang
有限元响应灵敏度分析是结构优化、可靠性分析、系统识别、有限元模型修正等土木工程各个子领域中基于梯度的优化方法的重要工具。此外，独立的灵敏度分析对于深入了解各种系统和加载参数对系统响应的影响和相对重要性是非常有价值的。直接微分法是计算有限元模型参数响应灵敏度的一种通用、准确、高效的方法。本文将基于DDM的响应灵敏度分析方法应用于压力无关的多屈服面塑性材料模型，该模型已被广泛用于模拟粘性土在静载和动载条件下的非线性不排水剪切行为。给出了基于DDM的响应灵敏度算法的完整推导。该算法已在一个通用的非线性有限元分析程序中实现。本文的工作极大地扩展了基于DDM的响应灵敏度分析的框架，因为它使得涉及多屈服面材料模型的许多应用成为可能。通过两个应用实例对新算法及其软件实现进行了验证，并将基于DDM的响应灵敏度与基于正向有限差分(FFD)的响应灵敏度进行了比较。然后利用归一化响应灵敏度分析结果来衡量土体本构参数对系统响应的相对重要性。
Finite element (FE) response sensitivity analysis is an essential tool for gradient-based optimization methods used in various sub-fields of civil engineering such as structural optimization, reliability analysis, system identification, and finite element model updating. Furthermore, stand-alone sensitivity analysis is invaluable for gaining insight into the effects and relative importance of various system and loading parameters on system response. The direct differentiation method (DDM) is a general, accurate and efficient method to compute FE response sensitivities to FE model parameters. In this paper, the DDM-based response sensitivity analysis methodology is applied to a pressure independent multi-yield-surface J2plasticity material model, which has been used extensively to simulate the nonlinear undrained shear behavior of cohesive soils subjected to static and dynamic loading conditions. The complete derivation of the DDM-based response sensitivity algorithm is presented. This algorithm is implemented in a general-purpose nonlinear finite element analysis program. The work presented in this paper extends significantly the framework of DDM-based response sensitivity analysis, since it enables numerous applications involving the use of the multi-yield-surface J2plasticity material model. The new algorithm and its software implementation are validated through two application examples, in which DDM-based response sensitivities are compared with their counterparts obtained using forward finite difference (FFD) analysis. The normalized response sensitivity analysis results are then used to measure the relative importance of the soil constitutive parameters on the system response.