Eco-Friendly Design of Reinforced Concrete Retaining Walls: Multi-objective Optimization with Harmony Search Applications

In this study, considering the eco-friendly design necessities of reinforced concrete structures, the acquirement of minimizing both the cost and the CO 2 emission of the reinforced concrete retaining walls in conjunction with ensuring stability conditions has been investigated using harmony search algorithm. Optimization analyses were conducted with the use of two different objective functions to discover the contribution rate of variants to the cost and CO 2 emission individually. Besides this, the integrated relationship of cost and CO 2 emission was also identified by multi-objective analysis in order to identify an eco-friendly and cost-effective design. The height of the stem and the width of the foundation were treated as design variables. Several optimization cases were fictionalized in relation with the change of the depth of excavation, the amount of the surcharge applied at the top of the wall system at the backfill side, the unit weight of the backfill soil, the costs, and CO 2 emission amounts of both the concrete and the reinforcement bars. Consequently, the results of the optimization analyses were arranged to discover the possibility of supplying an eco-friendly design of retaining walls with the minimization of both cost and gas emission depending upon the comparison of outcomes of the identified objective functions. The proposed approach is effective to find both economic and ecological results according to hand calculations and flower pollination algorithm.

[1]  Víctor Yepes,et al.  Social Sustainability in the Lifecycle of Chilean Public Infrastructure , 2016 .

[2]  Lin Li,et al.  Task scheduling in cloud computing based on hybrid moth search algorithm and differential evolution , 2019, Knowl. Based Syst..

[3]  Zong Woo Geem,et al.  Harmony Search Optimization of Nozzle Movement for Additive Manufacturing of Concrete Structures and Concrete Elements , 2020, Applied Sciences.

[4]  K. Kang,et al.  Stochastic Analysis of Embodied Carbon Dioxide Emissions Considering Variability of Construction Sites , 2019, Sustainability.

[5]  Fuat Erbatur,et al.  Optimization and Sensitivity of Retaining Structures , 1996 .

[6]  Víctor Yepes,et al.  Optimization of buttressed earth-retaining walls using hybrid harmony search algorithms , 2017 .

[7]  Víctor Yepes,et al.  CO2-Optimization Design of Reinforced Concrete Retaining Walls Based on a VNS-Threshold Acceptance Strategy , 2012, J. Comput. Civ. Eng..

[8]  Víctor Yepes,et al.  Black Hole Algorithm for Sustainable Design of Counterfort Retaining Walls , 2020 .

[9]  Moacir Kripka,et al.  Optimization of reinforced concrete columns according to different environmental impact assessment parameters , 2014 .

[10]  Suman Bhullar,et al.  Hybrid ABC-BAT for Solving Short-Term Hydrothermal Scheduling Problems , 2019 .

[11]  Eugeniusz Dembicki,et al.  System analysis in calculation of cantilever retaining walls , 1989 .

[12]  Zong Woo Geem,et al.  A Novel Hybrid Harmony Search Approach for the Analysis of Plane Stress Systems via Total Potential Optimization , 2020 .

[13]  Sang-Ho Lee,et al.  Sustainable design for reinforced concrete columns through embodied energy and CO2 emission optimization , 2018, Energy and Buildings.

[14]  F. Potra,et al.  Sustainable Design of Reinforced Concrete Structures through CO2 Emission Optimization , 2015 .

[15]  Yu. M. Pochtman,et al.  Design of an optimal retaining wall with anchorage , 1988 .

[16]  Milan Tuba,et al.  Monarch Butterfly Optimization Based Convolutional Neural Network Design , 2020, Mathematics.

[17]  Antonio Hospitaler,et al.  CO2-optimization of reinforced concrete frames by simulated annealing , 2009 .

[18]  W. Rankine II. On the stability of loose earth , 1857, Philosophical Transactions of the Royal Society of London.

[19]  Zong Woo Geem,et al.  A New Heuristic Optimization Algorithm: Harmony Search , 2001, Simul..

[20]  Víctor Yepes,et al.  Life cycle assessment of cost-optimized buttress earth-retaining walls: A parametric study , 2017 .

[21]  B. Munwar Basha,et al.  Optimum Design of Cantilever Retaining Walls Using Target Reliability Approach , 2008 .

[22]  Nicolas Roussel,et al.  Study of two concrete mix-design strategies to reach carbon mitigation objectives , 2009 .

[23]  Francisca Molina-Moreno,et al.  Carbon embodied optimization for buttressed earth-retaining walls: Implications for low-carbon conceptual designs , 2017 .

[24]  Paolo Maria Congedo,et al.  Design method of high performance precast external walls for warm climate by multi-objective optimization analysis , 2015 .

[25]  Víctor Yepes,et al.  Bayesian network method for decision-making about the social sustainability of infrastructure projects , 2018 .

[26]  William Powrie,et al.  Limit equilibrium analysis of embedded retaining walls , 1996 .

[27]  Ö. Altan Dombaycı,et al.  Optimization of insulation thickness for external walls using different energy-sources , 2004 .

[28]  Gebrail Bekdaş,et al.  Optimum Designof Reinforced Concrete Multi-Story Multi-Span Frame Structures under Static Loads , 2018, International Journal of Engineering and Technology.

[29]  Gebrail Bekdaş,et al.  Optimisation of Shear and Lateral–Torsional Buckling of Steel Plate Girders Using Meta-Heuristic Algorithms , 2020, Applied Sciences.

[30]  Alfredo del Caño,et al.  Sustainability Assessment of Concrete Structures within the Spanish Structural Concrete Code , 2012 .

[31]  Charles V. Camp,et al.  Design of Retaining Walls Using Big Bang–Big Crunch Optimization , 2012 .

[32]  Joaquín J. Pons,et al.  Life cycle assessment of earth-retaining walls: An environmental comparison , 2018, Journal of Cleaner Production.

[33]  Dan M. Frangopol,et al.  Life-cycle performance, management, and optimisation of structural systems under uncertainty: accomplishments and challenges 1 , 2011, Structures and Infrastructure Systems.

[34]  Z. Geem,et al.  Harmony Search Optimisation of Dispersed Laminated Composite Plates , 2020, Materials.

[35]  Kwok-wing Chau,et al.  Knowledge-based system on optimum design of liquid retaining structures with genetic algorithms , 2003 .

[37]  Gebrail Bekdaş,et al.  Metaheuristic algorithms in optimum design of reinforced concrete beam by investigating strength of concrete , 2020 .