[1] Duan Liping, Zhao Jincheng,. A nonlinear explicit dynamic GBT formulationfor modeling impact response of thin-walled steel members [J]. Journal of Southeast University (English Edition), 2018, 34 (2): 237-250. [doi:10.3969/j.issn.1003-7985.2018.02.014]
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A nonlinear explicit dynamic GBT formulationfor modeling impact response of thin-walled steel members(
)
一种用于模拟薄壁钢构件冲击响应的非线性显式动力GBT模型
)Journal of Southeast University (English Edition)[ISSN:1003-7985/CN:32-1325/N]
- Volumn:
- 34
- Issue:
- 2018 2
- Page:
- 237-250
- Research Field:
- Civil Engineering
- Publishing date:
- 2018-06-20
Info
- Title:
- A nonlinear explicit dynamic GBT formulationfor modeling impact response of thin-walled steel members
- 一种用于模拟薄壁钢构件冲击响应的非线性显式动力GBT模型
- Author(s):
- Duan Liping; Zhao Jincheng
- School of Naval Architecture, Ocean and Civil Engineering, Shanghai Jiao Tong University, Shanghai 200240, China
- Keywords:
- generalized beam theory; impact loading; thin-walled steel member; explicit dynamic integrations; strain rate strengthening effect; thermal softening effect
- PACS:
- TU313
- DOI:
- 10.3969/j.issn.1003-7985.2018.02.014
- Abstract:
- A nonlinear explicit dynamic finite element formulation based on the generalized beam theory(GBT)is proposed and developed to simulate the dynamic responses of prismatic thin-walled steel members under transverse impulsive loads. Considering the rate strengthening and thermal softening effects on member impact behavior, a modified Cowper-Symonds model for constructional steels is utilized. The element displacement field is built upon the superposition of GBT cross-section deformation modes, so arbitrary deformations such as cross-section distortions, local buckling and warping shear can all be involved by the proposed model. The amplitude function of each cross-section deformation mode is approximated by the cubic non-uniform B-spline basis functions. The Kirchhoff’s thin-plate assumption is utilized in the construction of the bending related displacements. The Green-Lagrange strain tensor and the second Piola-Kirchhoff(PK2)stress tensor are employed to measure deformations and stresses at any material point, where stresses are assumed to be in plane-stress state. In order to verify the effectiveness of the proposed GBT model, three numerical cases involving impulsive loading of the thin-walled parts are given. The GBT results are compared with those of the Ls-Dyna shell finite element. It is shown that the proposed model and the shell finite element analysis has equivalent accuracy in displacement and stress. Moreover, the proposed model is much more computationally efficient and structurally clearer than the shell finite elements.
- 建立了一种基于广义梁理论(GBT)的非线性显式动力梁有限元模型, 该模型可用于等截面薄壁钢构件的冲击响应模拟.考虑冲击加载时的应变率强化及绝热升温引起的热软化效应, 当前模型采用了一种修正的Cowper-Symonds率相关本构模型.用GBT截面变形模态构建单元截面位移场, 因此新模型可考虑构件截面的畸变、屈曲及任意的翘曲剪切等局部效应.此外, 用三次非均匀B样条基函数拟合各个GBT截面变形模态的幅值函数.用Kirchhoff薄板假设构造弯曲相关位移场.用Green-Lagrange应变张量和PK2应力分别描述材料点的应变和应力, 假设各材料点处于平面应力状态.为了验证所提模型的有效性, 给出了3组薄壁构件的冲击分析算例, 将当前模型的结果和壳有限元(Ls-Dyna)分析结果进行了对比, 结果表明:当前模型和壳有限元模型的位移解和应力解具有等效精度, 但所提模型的计算效率更高, 并具备更好的结构明晰性.
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Memo
- Memo:
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Biographies: Duan Liping(1984— ), male, doctor; Zhao Jincheng(corresponding author), male, doctor, professor, jczhao@sjtu.edu.cn.
Foundation items: The National Natural Science Foundation of China(No.51078229), the Specialized Research Fund for the Doctoral Program of Higher Education(No.20100073110008).
Citation: Duan Liping, Zhao Jincheng.A nonlinear explicit dynamic GBT formulation for modeling impact response of thin-walled steel members[J].Journal of Southeast University(English Edition), 2018, 34(2):237-250.DOI:10.3969/j.issn.1003-7985.2018.02.014.