Advances in Materials Research

Volume 15, Number 2, 2026, pages 125-144

DOI: 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

Key Words

differential quadrature method; external shock; GPL reinforcement; optimization and fabrication cost management; structural responses

Address

PDF Viewer

Preview uses the same access rules as Full Text PDF (subscription, purchase, or open access).

Loading… Download PDF