Layout optimization of steel reinforcement in concrete structure using a truss-continuum model

Anbang CHEN , Xiaoshan LIN , Zi-Long ZHAO , Yi Min XIE

Front. Struct. Civ. Eng. ›› 2023, Vol. 17 ›› Issue (5) : 669 -685.

PDF (9354KB)
Front. Struct. Civ. Eng. ›› 2023, Vol. 17 ›› Issue (5) : 669 -685. DOI: 10.1007/s11709-023-0963-0
RESEARCH ARTICLE
RESEARCH ARTICLE

Layout optimization of steel reinforcement in concrete structure using a truss-continuum model

Author information +
History +
PDF (9354KB)

Abstract

Owing to advancement in advanced manufacturing technology, the reinforcement design of concrete structures has become an important topic in structural engineering. Based on bi-directional evolutionary structural optimization (BESO), a new approach is developed in this study to optimize the reinforcement layout in steel-reinforced concrete (SRC) structures. This approach combines a minimum compliance objective function with a hybrid truss-continuum model. Furthermore, a modified bi-directional evolutionary structural optimization (M-BESO) method is proposed to control the level of tensile stress in concrete. To fully utilize the tensile strength of steel and the compressive strength of concrete, the optimization sensitivity of steel in a concrete–steel composite is integrated with the average normal stress of a neighboring concrete. To demonstrate the effectiveness of the proposed procedures, reinforcement layout optimizations of a simply supported beam, a corbel, and a wall with a window are conducted. Clear steel trajectories of SRC structures can be obtained using both methods. The area of ​​critical tensile stress in concrete yielded by the M-BESO is more than 40% lower than that yielded by the uniform design and BESO. Hence, the M-BESO facilitates a fully digital workflow that can be extremely effective for improving the design of steel reinforcements in concrete structures.

Graphical abstract

Keywords

bi-directional evolutionary structural optimization / steel-reinforced concrete / concrete stress / reinforcement method / hybrid model

Cite this article

Download citation ▾
Anbang CHEN, Xiaoshan LIN, Zi-Long ZHAO, Yi Min XIE. Layout optimization of steel reinforcement in concrete structure using a truss-continuum model. Front. Struct. Civ. Eng., 2023, 17(5): 669-685 DOI:10.1007/s11709-023-0963-0

登录浏览全文

4963

注册一个新账户 忘记密码

References

[1]

Shishegaran A, Karami B, Rabczuk T, Shishegaran A, Naghsh M A, Mohammad Khani M. Performance of fixed beam without interacting bars. Frontiers of Structural and Civil Engineering, 2020, 14(5): 1180–1195

[2]

Shishegaran A, Varaee H, Rabczuk T, Shishegaran G. High correlated variables creator machine: Prediction of the compressive strength of concrete. Computers & Structures, 2021, 247: 106479

[3]

Varaee H, Shishegaran A, Ghasemi M R. The life-cycle cost analysis based on probabilistic optimization using a novel algorithm. Journal of Building Engineering, 2021, 43: 103032

[4]

Shishegaran A, Boushehri A N, Ismail A F. Gene expression programming for process parameter optimization during ultrafiltration of surfactant wastewater using hydrophilic polyethersulfone membrane. Journal of Environmental Management, 2020, 264: 110444

[5]

Es-Haghi M S, Shishegaran A, Rabczuk T. Evaluation of a novel Asymmetric Genetic Algorithm to optimize the structural design of 3D regular and irregular steel frames. Frontiers of Structural and Civil Engineering, 2020, 14(5): 1110–1130

[6]

Karami B, Shishegaran A, Taghavizade H, Rabczuk T. Presenting innovative ensemble model for prediction of the load carrying capacity of composite castellated steel beam under fire. Structures, 2021, 33: 4031–4052

[7]

Naghsh M A, Shishegaran A, Karami B, Rabczuk T, Shishegaran A, Taghavizadeh H, Moradi M. An innovative model for predicting the displacement and rotation of column-tree moment connection under fire. Frontiers of Structural and Civil Engineering, 2021, 15(1): 194–212

[8]

Shishegaran A, Ghasemi M R, Varaee H. Performance of a novel bent-up bars system not interacting with concrete. Frontiers of Structural and Civil Engineering, 2019, 13(6): 1301–1315

[9]

Shishegaran A, Moradi M, Naghsh M A, Karami B, Shishegaran A. Prediction of the load-carrying capacity of reinforced concrete connections under post-earthquake fire. Journal of Zhejiang University. Science A, 2021, 22(6): 441–466

[10]

Bigdeli A, Shishegaran A, Naghsh M A, Karami B, Shishegaran A, Alizadeh G. Surrogate models for the prediction of damage in reinforced concrete tunnels under internal water pressure. Journal of Zhejiang University. Science A, 2021, 22(8): 632–656

[11]

Abdelaleem T, Diab H M, Rashwan M M. New aspects about the effect of critical regions reinforcement on the strength and moment redistribution of RC continuous T-beams (Experimental and numerical study). Structures, 2021, 34: 4834–4850

[12]

Schlaich J, Schafer K. Design and detailing of structural concrete using strut-and-tie models. Structural Engineering, 1991, 69: 113–125

[13]

Kumar P. Optimal force transmission in reinforced concrete deep beams. Computers & Structures, 1978, 8(2): 223–229

[14]

Biondini F, Bontempi F, Malerba P G. Optimisation of strut and-tie models in reinforced concrete structures. In: Australasian Conference on Structural Optimization. Sydney: Oxbridge Press, 1998, 1–10

[15]

Bontempi F, Malerba P G. Stress path adapting strut-and-tie models in cracked and uncracked RC elements. Structural Engineering and Mechanics, 2001, 12(6): 685–698

[16]

Ali M A, White R N. Automatic generation of truss model for optimal design of reinforced concrete structures. ACI Materials Journal, 2001, 98: 431–442

[17]

Perera R, Vique J. Strut-and-tie modelling of reinforced concrete beams using genetic algorithms optimization. Construction & Building Materials, 2009, 23(8): 2914–2925

[18]

Chen A, Cai K, Zhao Z L, Zhou Y, Xia L, Xie Y M. Controlling the maximum first principal stress in topology optimization. Structural and Multidisciplinary Optimization, 2021, 63(1): 327–339

[19]

Gao J, Luo Z, Li H, Li P, Gao L. Dynamic multiscale topology optimization for multi-regional micro-structured cellular composites. Composite Structures, 2019, 211: 401–417

[20]

Liang Q Q, Xie Y M, Steven G P. Topology optimization of strut-and-tie models in reinforced concrete structures using an evolutionary procedure. ACI Materials Journal, 2000, 97: 322–332

[21]

Liang Q Q, Xie Y M, Steven G P. Generating optimal strut-and-tie models in prestressed concrete beams by performance-based optimization. ACI Materials Journal, 2001, 98: 226–232

[22]

Leu L J, Huang C W, Chen C S, Liao Y P. Strut-and-tie design methodology for three-dimensional reinforced concrete structures. Journal of Structural Engineering, 2006, 132(6): 929–938

[23]

Kwak H G, Noh S H. Determination of strut-and-tie models using evolutionary structural optimization. Engineering Structures, 2006, 28(10): 1440–1449

[24]

Bruggi M. Generating strut-and-tie patterns for reinforced concrete structures using topology optimization. Computers & Structures, 2009, 87(23−24): 1483–1495

[25]

Guan H. Strut-and-tie model of deep beams with web openings—An optimization approach. Structural Engineering and Mechanics, 2005, 19(4): 361–380

[26]

He Z Q, Liu Z. Optimal three-dimensional strut-and-tie models for anchorage diaphragms in externally prestressed bridges. Engineering Structures, 2010, 32(8): 2057–2064

[27]

Bendsøe M P, Sigmund O. Material interpolation schemes in topology optimization. Archive of Applied Mechanics, 1999, 69(9−10): 635–654

[28]

Huang X, Xie Y M. Convergent and mesh-independent solutions for the bi-directional evolutionary structural optimization method. Finite Elements in Analysis and Design, 2007, 43(14): 1039–1049

[29]

Da D, Xia L, Li G, Huang X. Evolutionary topology optimization of continuum structures with smooth boundary representation. Structural and Multidisciplinary Optimization, 2018, 57(6): 2143–2159

[30]

Wang M Y, Wang X, Guo D. A level set method for structural topology optimization. Computer Methods in Applied Mechanics and Engineering, 2003, 192(1−2): 227–246

[31]

Guo X, Zhang W S, Wang M Y, Wei P. Stress-related topology optimization via level set approach. Computer Methods in Applied Mechanics and Engineering, 2011, 200(47−48): 3439–3452

[32]

Wei P, Li Z, Li X, Wang M Y. An 88-line MATLAB code for the parameterized level set method based topology optimization using radial basis functions. Structural and Multidisciplinary Optimization, 2018, 58(2): 831–849

[33]

Zhang W, Yuan J, Zhang J, Guo X. A new topology optimization approach based on Moving Morphable Components (MMC) and the ersatz material model. Structural and Multidisciplinary Optimization, 2016, 53(6): 1243–1260

[34]

He Z C, Wu Y, Li E. Topology optimization of structure for dynamic properties considering hybrid uncertain parameters. Structural and Multidisciplinary Optimization, 2018, 57(2): 625–638

[35]

Zhao Z L, Zhou S, Feng X Q, Xie Y M. Morphological optimization of scorpion telson. Journal of the Mechanics and Physics of Solids, 2020, 135: 103773

[36]

Zhao Z L, Zhou S, Feng X Q, Xie Y M. On the internal architecture of emergent plants. Journal of the Mechanics and Physics of Solids, 2018, 119: 224–239

[37]

Ma J, Zhao Z L, Lin S, Xie Y M. Topology of leaf veins: Experimental observation and computational morphogenesis. Journal of the Mechanical Behavior of Biomedical Materials, 2021, 123: 104788

[38]

Rong Y, Zhao Z L, Feng X Q, Xie Y M. Structural topology optimization with an adaptive design domain. Computer Methods in Applied Mechanics and Engineering, 2022, 389: 114382

[39]

Qiu Y, Zhang S, Zhang W, Ye H, Zhang H, Zheng Y. Coupling moving morphable voids and components based topology optimization of hydrogel structures involving large deformation. Journal of Applied Mechanics, 2022, 89(1): 89

[40]

Hu Z, Zhang H, Zheng Y, Ye H. Phase-field implicit material point method with the convected particle domain interpolation for brittle–ductile failure transition in geomaterials involving finite deformation. Computer Methods in Applied Mechanics and Engineering, 2022, 390: 114420

[41]

Zhao Z L, Zhou S, Cai K, Xie Y M. A direct approach to controlling the topology in structural optimization. Computers & Structures, 2020, 227: 106141

[42]

Yang K, Zhao Z L, He Y, Zhou S, Zhou Q, Huang W, Xie Y M. Simple and effective strategies for achieving diverse and competitive structural designs. Extreme Mechanics Letters, 2019, 30: 100481

[43]

Ma J, Li Z, Zhao Z L, Xie Y M. Creating novel furniture through topology optimization and advanced manufacturing. Rapid Prototyping Journal, 2021, 27(9): 1749–1758

[44]

Xiong Y, Yao S, Zhao Z L, Xie Y M. A new approach to eliminating enclosed voids in topology optimization for additive manufacturing. Additive Manufacturing, 2020, 32: 101006

[45]

Xia Y, Langelaar M, Hendriks M A. Optimization-based three-dimensional strut-and-tie model generation for reinforced concrete. Computer-Aided Civil and Infrastructure Engineering, 2021, 36(5): 526–543

[46]

Querin O M, Victoria M, Martí P. Topology optimization of truss-like continua with different material properties in tension and compression. Structural and Multidisciplinary Optimization, 2010, 42(1): 25–32

[47]

Victoria M, Querin O M, Martí P. Generation of strut-and-tie models by topology design using different material properties in tension and compression. Structural and Multidisciplinary Optimization, 2011, 44(2): 247–258

[48]

Liu S, Qiao H. Topology optimization of continuum structures with different tensile and compressive properties in bridge layout design. Structural and Multidisciplinary Optimization, 2011, 43(3): 369–380

[49]

Silveira M V, Bitencourt L A, Das S. A performance-based optimization framework applied to a classical STM-designed deep beam. Structures, 2022, 41: 488–500

[50]

Yang L, Lin X, Li H, Gravina R J. A new constitutive model for steel fibre reinforced concrete subjected to dynamic loads. Composite Structures, 2019, 221: 110849

[51]

Ghasemi H, Kerfriden P, Bordas S P A, Muthu J, Zi G, Rabczuk T. Interfacial shear stress optimization in sandwich beams with polymeric core using non-uniform distribution of reinforcing ingredients. Composite Structures, 2015, 120: 221–230

[52]

GuestJ KMoenC D. Reinforced concrete design with topology optimization. In: Structures Congress 2010: 19th Analysis and Computation Specialty Conference. Orlando, FL: American Society of Civil Engineers, 2010, 445–454

[53]

Gaynor A T, Guest J K, Moen C. Reinforced concrete force visualization and design using bilinear truss-continuum topology optimization. Journal of Structural Engineering, 2013, 139(4): 607–618

[54]

Amir O, Sigmund O. Reinforcement layout design for concrete structures based on continuum damage and truss topology optimization. Structural and Multidisciplinary Optimization, 2013, 47(2): 157–174

[55]

Yang Y, Moen C D, Guest J K. Three-dimensional force flow paths and reinforcement design in concrete via stress-dependent truss-continuum topology optimization. Journal of Engineering Mechanics, 2015, 141(1): 04014106

[56]

Luo Y, Wang M Y, Zhou M, Deng Z. Optimal topology design of steel–concrete composite structures under stiffness and strength constraints. Computers & Structures, 2012, 112: 433–444

[57]

Yang Z, Zhou K, Qiao S. Topology optimization of reinforced concrete structure using composite truss-like model. Structural Engineering and Mechanics, 2018, 67(1): 79–85

[58]

Pastore T, Mercuri V, Menna C, Asprone D, Festa P, Auricchio F. Topology optimization of stress-constrained structural elements using risk-factor approach. Computers & Structures, 2019, 224: 106104

[59]

Cui H, Zhou K, Yang Z. Reinforcement layout design of RC structures under multiple load cases using truss-like material model. Latin American Journal of Solids and Structures, 2020, 17(4): 17

[60]

Ghasemi H, Brighenti R, Zhuang X, Muthu J, Rabczuk T. Optimal fiber content and distribution in fiber-reinforced solids using a reliability and NURBS based sequential optimization approach. Structural and Multidisciplinary Optimization, 2015, 51(1): 99–112

[61]

Ghasemi H, Brighenti R, Zhuang X, Muthu J, Rabczuk T. Optimization of fiber distribution in fiber reinforced composite by using NURBS functions. Computational Materials Science, 2014, 83: 463–473

[62]

KwakH GFilippouF C. Finite Element Analysis of Reinforced Concrete Structures Under Monotonic Loads. Berkeley, CA: Department of Civil Engineering, University of California, 1990

[63]

HuangXXieY M. Evolutionary Topology Optimization of Continuum Structures: Methods and Applications. Chichester: John Wiley & Sons, 2010

[64]

Sigmund O, Petersson J. Numerical instabilities in topology optimization: A survey on procedures dealing with checkerboards, mesh-dependencies and local minima. Structural Optimization, 1998, 16(1): 68–75

[65]

Bourdin B. Filters in topology optimization. International Journal for Numerical Methods in Engineering, 2001, 50(9): 2143–2158

[66]

Luo Y, Bao J. A material-field series-expansion method for topology optimization of continuum structures. Computers & Structures, 2019, 225: 106122

[67]

Raphael J M. Tensile strength of concrete. Proceedings, 1984, 81: 158–165

[68]

Amir O. A topology optimization procedure for reinforced concrete structures. Computers & Structures, 2013, 114: 46–58

RIGHTS & PERMISSIONS

The Author(s). This article is published with open access at link.springer.com and journal.hep.com.cn

AI Summary AI Mindmap
PDF (9354KB)

4867

Accesses

0

Citation

Detail

Sections
Recommended

AI思维导图

/