Nonlinear explicit layered shell element and its GPU parallel computing implementation

CAO Shengtao1,2,LI Zhishan2,YANG Zhiyong1

Journal of Vibration and Shock ›› 2019, Vol. 38 ›› Issue (22) : 60-69.

PDF(4559 KB)
PDF(4559 KB)
Journal of Vibration and Shock ›› 2019, Vol. 38 ›› Issue (22) : 60-69.

Nonlinear explicit layered shell element and its GPU parallel computing implementation

  • CAO Shengtao1,2,LI Zhishan2,YANG Zhiyong1
Author information +
History +

Abstract

Based on an elastoplastic damage model of concrete under plane stress, the damage of concrete was classified into three types, tension, compression and shear, according to the concrete stress state and the demands of engineering practice, and a method for the computation of nonlinear physical hourglass force and drilling force was given. Then, a quadrilateral nonlinear explicit layered shell element with 4 nodes-24 degrees of freedom including in-plane drilling was proposed. The proposed shell element was implemented in a nonlinear analysis software which was independently-developed and based on CPU+GPU parallel computing. By comparing the results of benchmark example by the ABAQUS and the software, the correctness of the shell element was verified. The rationality of the shell element was also proved by the monotonic loading experimental results on a shear wall. In addition, the seismic nonlinear time history analysis of a high-rise frame-tube structure in Shanghai was carried out by using the software and ABAQUS respectively. The results show that: the results by the software and ABAQUS are basically the same, and the computational efficiency of the software is 5.69 times that of the  ABAQUS, moreover, the tension damage, compression damage and shear damage shown by the software are more useful to reveal the damage evolution and failure of the tube. 

Key words

elastoplastic damage model / damage mode of concrete / nonlinear explicit layered shell element / shear wall damage mode / CPU+GPU parallel computing

Cite this article

Download Citations
CAO Shengtao1,2,LI Zhishan2,YANG Zhiyong1. Nonlinear explicit layered shell element and its GPU parallel computing implementation[J]. Journal of Vibration and Shock, 2019, 38(22): 60-69

References

[1] 李宏男, 李兵. 钢筋混凝土剪力墙抗震恢复力模型及试验研究 [J]. 建筑结构学报, 2004, 25(5): 35-42.
LI Hong-nan, LI Bing. Experimental study on seismic restoring performance of reinforced conctrete shear walls [J]. Journal of Building Structures, 2004,25(5):35-42. (in Chinese)
[2] 徐培福, 傅学怡, 王翠坤, 等. 复杂高层建筑结构设计 [M]. 北京: 中国建筑工业出版社, 2005.
XU Pei-fu, FU Xue-yi, WANG Cui-kun, et al.Complex High-rise Building Structure Design[M]. Beijing: China Architecture and Building Press, 2005. (in Chinese)
[3] Hu H T, Schnobrich W C. Nonlinear finite element analysis of reinforced concrete plates and shells under monotonic loading [J]. Computers & Structures, 1991, 38(5–6): 637-651.
[4] Polak M A, Vecchio F J. Nonlinear Analysis of Reinforced-Concrete Shells [J]. Journal of Structural Engineering, 1993, 119(12): 3439-3462.
[5] Montoya E, Vecchio F J, Sheikh S A. Compression Field Modeling of Confined Concrete: Constitutive Models [J]. Journal of Materials in Civil Engineering, 2006, 18(4): 510-517.
[6] Lu X, Xie L, Huang Y, Huang Y, et al. A shear wall element for nonlinear seismic analysis of super-tall buildings using OpenSees [J]. Finite Elements in Analysis & Design, 2015, 98(C): 14-25.
[7] Mckenna F. OpenSees: A Framework for Earthquake Engineering Simulation [J]. Computing in Science & Engineering, 2011, 13(4): 58-66.
[8] 郑颖人, 沈珠江, 龚晓南. 岩土塑性力学原理 [M]. 北京: 中国建筑工业出版社, 2002.
ZHENG Ying-ren, SHEN Zhu-jiang, GONG Xiao-nan. The Principles of Geotechnical Plastic Mechanics [M]. Beijing: China Architecture and Building Press, 2002. (in Chinese)
[9] Lemaitre J. A course on damage mechanics [M]. New York: Springer Science & Business Media, 2012.
[10] Ju J. On energy-based coupled elastoplastic damage theories: constitutive modeling and computational aspects [J]. International Journal of Solids and structures, 1989, 25(7): 803-833.
[11] Mazars J. Application de la mécanique de l'endommagement au comportement non linéaire et à la rupture du béton de structure [D]. Paris :Université Pierre et Marie Curie ,1984.
[12] Mazars J. A description of micro-and macroscale damage of concrete structures [J]. Engineering Fracture Mechanics, 1986, 25(5): 729-737.
[13] 李杰, 吴建营. 混凝土弹塑性损伤本构模型研究 Ⅰ: 基本公式 [J]. 土木工程学报, 2006, 38(9): 14-20.
LI Jie, WU Jian-ying. Elastoplastic damage constitutive model for concrete based on damage energy release rates , part I : basic formulations [J].China Civil Engineering Journal, 2006, 38(9): 14-20. (in Chinese)
[14] Lee J, Fenves G L. Plastic-damage model for cyclic loading of concrete structures [J]. Journal of engineering mechanics, 1998, 124(8): 892-900.
[15] Lubliner J, Oliver J, Oller S, et al. A plastic-damage model for concrete [J]. International Journal of solids and structures, 1989, 25(3): 299-326.
[16] 杨先桥, 傅学怡, 黄用军. 深圳平安金融中心塔楼动力弹塑性分析 [J]. 建筑结构学报, 2011, 32(7): 40-49.
YANG Xian-qiao, FU Xue-yi, HUANG Yong-jun. Dynamic elasto-plastic analysis of the Shenzhen Ping’an Financial Center Tower [J]. Jouranl of Building Structures, 2011, 32(7): 40-49. (in Chinese)
[17] 李华峰, 齐五辉, 徐金蓓, 等. 中国尊大厦施工图设计中的弹塑性时程分析 [J]. 建筑结构, 2015, 45(23): 9-14.
LI Hua-feng, QI Wu-hui, XU Jinbei, et al. Elastic-plastic time-history analysis in construction drawing design phase of China Zun Tower [J]. Building Structure, 2015, 45(23): 9-14. (in Chinese)
[18] 王博, 白国良, 刘林, 等. 型钢混凝土框排架混合结构弹塑性地震响应及抗震防线问题研究 [J]. 振动与冲击, 2014, 33(5): 46-52.
WANG Bo, BAI Guo-liang, LIU Lin, et al. Elastic-plastic seismic response and anti-seismic lines of SRC frame-bent hybrid structure. Journal of Viberation and Shock, 2014, 33(5): 46-52. (in Chinese)
[19] 汪大绥, 李志山, 李承铭, 等. 复杂结构弹塑性时程分析在ABAQUS软件中的实现 [J]. 建筑结构, 2007, 37(5): 92-95.
WANG Da-sui, LI Zhi-shan, LI Cheng-ming, et al. Nonlinear Elasto-plastic Time History Analysis for Complex Structures in ABAQUS. Building Structure, 2007, 37(5): 92-95. (in Chinese)
[20] 任重翠, 徐自国, 田春雨, 等. 钢板组合剪力墙在广州东塔伸臂桁架区中的应用与分析 [J]. 建筑结构, 2013, 43(16): 58-62.
REN Chong-cui, XU Zi-guo, TIAN Chun-yu, et al. Application and analysis of steel plate concrete composite wall in outrigger trusses areas of Chow Tai Fook (Guangzhou) Center. Building Structure, 2013, 43(16): 58-62. (in Chinese)
[21] Lee J, Fenves G L. A return-mapping algorithm for plastic-damage models: 3-D and plane stress formulation [J]. International Journal for Numerical Methods in Engineering, 2001, 50(2): 487-506.
[22] GB50010—2010. 混凝土结构设计规范 [S]. 北京: 中国建筑工业出版社, 2011.
GB50010-2010.Code for Design of Concrete Structures [S]. Beijing: China Architecture & Building Press, 2011. (in Chinese)
[23] 任晓丹, 李杰. 混凝土损伤与塑性变形计算 [J]. 建筑结构, 2015, 45(2): 29-31.
REN Xiao-dan, LI Jie Calculation of concrete damage and plastic deformation [J]. Building Structure, 2015, 45(2): 29-31. (in Chinese)
[24] Belytschko T, Bachrach W E. Efficient implementation of quadrilaterals with high coarse-mesh accuracy [J]. Computer Methods in Applied Mechanics and Engineering, 1986, 54(3): 279-301.
[25] Belytschko T, Wong B L, Chiang H-Y. Advances in one-point quadrature shell elements [J]. Computer Methods in Applied Mechanics and Engineering, 1992, 96(1): 93-107.
[26] Hughes T J, Cohen M, Haroun M. Reduced and selective integration techniques in the finite element analysis of plates [J]. Nuclear Engineering and Design, 1978, 46(1): 203-222.
[27] Zienkiewicz O C, Taylor R L. The Finite Element Method for Solid and Structural Mechanics [M]. New York: Elsevier, 2005.
[28] 王进廷, 杜修力. 有阻尼体系动力分析的一种显式差分法 [J]. 工程力学, 2002, 19(03): 109-112.
WANG Jin-ting, DU Xiu-li. An explicit difference method for dynamic analysis of a structure system with damping. Engineering Mechanics, 2002, 19(03): 109-112. (in Chinese)
[29] Lefas I D, Kotsovos M D, Ambraseys N N. Behavior of reinforced concrete structural walls: strength, deformation characteristics, and failure mechanism [J]. Structural Journal, 1990, 87(1): 23-31.
[30] 方鄂华. 高层建筑钢筋混凝土结构概念设计 [M]. 北京:机械工业出版社, 2002.
FANG E-hua. Concept design of reinforced concrete structure in high rise building[M]. Beijing: China Machine  Press, 2002. (in Chinese)
[31] GB50011—2010. 建筑抗震设计规范[S]. 北京: 中国建筑工业出版社, 2010.
GB50011-2010. Code for seismic design of buildings[S]. Beijing: China Architecture & Building Press, 2010. (in Chinese)
PDF(4559 KB)

Accesses

Citation

Detail

Sections
Recommended

/