Techno Press
Techno Press

Advances in Materials Research
  Volume 15, Number 2, May 2026 , pages 125-144
DOI: https://doi.org/10.12989/amr.2026.15.2.125
 

Optimization and fabrication cost management of GPL reinforcement's geometry via a semi-analytical approach
Suleiman Ibrahim Mohammad, Asokan Vasudevan, Basem Abu Zneid, Torki M. Al-Fawwaz, Wu Wenya, Ismoiljon Rozikov, Fakhriddin Isaev, Alisher Ishankulov

 
Abstract
    A semi-analytical framework has been outlined in order to determine optimal costs for both graphite enhance composite structures and to manage the fabrication/production cost reduction of each composite component subjected to an outside/acting shock load (dynamic). The mechanical behavior of the composite (the composite composite system) will be simulated/characterized by means of Halpin-Tsai theory to find out what the effective material properties will be based upon the shape/geometry of the graphene nanoplatelet (GPL) within the composite (shape). Structural outputs will be computed using first-order-shear-deformation-theory (FSDT) in order for each composite block of the frame to accurately reflect transverse shear effects that result from moderate thicknesses of the plates under load (weight). Hamilton's principle will steer the development of the governing equations of motion for each of the composite blocks to develop analytical representations (the 2D composite) of their (combination) response when they are loaded with a transient shock/impact. Coupled partial differential equations will be solved using the differential quadrature method (DQM) semi-analytically to provide the highest degree of accuracy, while also minimizing the amount of computational effort through reduced discretization methods required to solve them. Finally, time-dependent shock loading or transient response solutions will be obtained using the Laplace transformations. This work is unique because it integrates geometric optimization of the nanoplates with a manufacturing cost-reduction assessment to find the best performing solutions with the least manufacturing cost.
 
Key Words
    differential quadrature method; external shock; GPL reinforcement; optimization and fabrication cost management; structural responses
 
Address
Suleiman Ibrahim Mohammad: Electronic Marketing and Social Media, Economic and Administrative Sciences Zarqa University, Jordan/ INTI International University, 71800 Negeri Sembilan, Malaysia

Asokan Vasudevan: Faculty of Business and Communications, INTI International University, 71800 Negeri Sembilan, Malaysia

Basem Abu Zneid: Faculty of Engineering, Hourani Center for Applied Scientific Research, Al-Ahliyya Amman University, Amman, Jordan

Torki M. Al-Fawwaz: College of Commerce and Business, Lusail University, Qatar

Wu Wenya: Xingtai Vocational College of Applied Technology, Hebei Province, China/ INTI International University, 71800 Negeri Sembilan, Malaysia

Ismoiljon Rozikov: Department of Agronomy Navoi State University of Mining and Technologies, Navoiy, Uzbekistan

Fakhriddin Isaev: Department of Finance and Tourism, Termez University of Economics and Service, Termez, Uzbekistan/ Research Center CEDR under the Tashkent State University of Economics, Tashkent, Uzbekistan

Alisher Ishankulov: Department of Chemistry, Kimyo International University in Tashkent Branch Samarkand, Uzbekistan
 

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