考虑Cowper-Symonds黏塑性材料本构的向量式有限元三角形薄壳单元研究

发布时间：2018-10-10 13:19

【摘要】：薄壳结构的力学行为分析往往涉及显著的材料非线性效应,对爆炸、冲击等高速动力问题还需进一步考虑高应变率效应的影响。基于此,将可同时考虑应变硬化和应变率效应的Cowper-Symonds黏塑性材料本构模型(简称C-S模型)引入向量式有限元三角形薄壳单元,以实现金属薄壳结构的动力非线性分析。推导了C-S模型的弹塑性增量分析步骤,并将其作为单独的计算分析模块引入薄壳结构的向量式有限元分析程序,适用于线弹性、理想弹塑性、双线性弹塑性和率相关C-S模型等4种材料模型条件下的薄壳结构分析。算例分析表明,所编制的向量式有限元程序可以有效实现非线性材料情况下薄壳结构的静、动力分析以及爆炸冲击作用下的非线性动力响应分析,验证了文中C-S模型理论推导和程序的正确、可靠。
[Abstract]:The analysis of the mechanical behavior of thin shell structures often involves significant material nonlinear effects, and the effects of high strain rate effects on high velocity dynamic problems such as explosion and impact need to be further considered. Based on this, the Cowper-Symonds viscoplastic material constitutive model (C-S model), which can take strain hardening and strain rate effects into account, is introduced into the vector finite element triangular thin shell element to realize the dynamic nonlinear analysis of metal thin shell structures. The elastic-plastic incremental analysis procedure of C-S model is deduced, and it is introduced into the vector finite element analysis program of thin shell structure as a separate calculation and analysis module, which is suitable for linear elasticity and ideal elastoplasticity. Bilinear elastic-plastic and rate-dependent C-S models for the analysis of thin shell structures under four material models. The numerical examples show that the vector finite element program can effectively realize the static and dynamic analysis of thin shell structure under nonlinear material and the nonlinear dynamic response analysis under explosion shock. The theoretical derivation and program of C-S model are proved to be correct and reliable.
【作者单位】：浙江大学空间结构研究中心;浙江省建筑设计研究院;
【基金】：国家自然科学基金项目(51378459) 浙江省重点科技创新团队项目(2010R50034)
【分类号】：TU33

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