This paper analyzes the static response of power-law thick functionally graded plates (P-FGPs) using the refined Element-Free Galerkin (EFG) method. The C1 continuity requirements of the displacement field are accurately and effectively fulfilled. A method is also presented that eliminates the shear-locking phenomenon through the use of specific shape functions. The stretching effect is approximated using higher order shear deformation theory (HSDT), and the shear correction factor is not required.According to Reddy's power law rule of mixture, the Young's modulus and Poisson's ratio of the two-phase metal-ceramic membrane vary continuously through the thickness. Furthermore, a three-dimensional function based on machine learning is employed to estimate the central deflection. This study introduces a novel three-dimensional estimating function for the central deflection of FGPs based on the results of the EFG method and sigmoid-cubic functions, representing the first application of this approach in the literature. Comparison with existing results demonstrates that the proposed estimation function provides an excellent fit to the response curve and is highly efficient for analyzing the static bending behavior of thick FGPs.

This study investigates the dynamic behaviour of nonlocal thermoelastic solid with diffusion subjected to a normal source with the focus on the effect of angular frequency on the medium. The governing equations are solved in the frequency domain. Numerical inversion technique is applied to find the solution in physical domain using Matlab. The obtained results are depicted graphically. As an application we use concentrated normal force, uniformly distributed and linearly distribued sources. We find that angular frequency significantly effects the components of normal stress, shear stress, mass concentration and temperature change. The results provide valuable insight for applications in advanced materials science, micro and nano-scale engineering, and dynamic load analysis.

This paper develops a management approach to optimization of the structures that have been reinforced with recycled concrete aggregate (RCA) mixing ultrafine fly ash (UFA), and the analysis of vibration is the main concern. The analyzed structure is a plate, which rests on a Winkler-Pasternak elastic foundation, and this is done by applying higher-order shear deformation theory (HSDT), which aims at simulating the shear deformation effects in the system. To examine the vibration characteristics of the plate, a factorial design approach is employed to investigate the effects of different reinforcement ratios on structural behavior, through varying material combinations of RCA and UFA.The derivation of the governing equations of motion is done by using Hamilton's principle, which achieves a very thorough treatment of dynamic behavior, while taking into account both the material properties and the boundary conditions. For the solution of the equations, the differential quadrature method (DQM) with weighting coefficients and high-order derivatives is used, thereby guaranteeing a high level of accuracy in numerical solutions. Moreover, the Chebyshev-Gauss-Lobatto interpolation method is applied to the process of achieving the solution in order to further improve the accuracy of the solution by making the boundary conditions better approximated and by increasing the computational efficiency of the method. The experiment discloses that the dynamic response of the plate structure is greatly affected by the RCA and UFA, hence the study is able to suggest the best material combinations that would result in the least vibration amplitudes and the best structural performance. The optimization framework thereby sets up a good methodology for sustainable materials management in civil engineering applications, with the dual benefits of structures having better integrity and being environmentally friendly.

Biodegradable materials are the need for the hour and have no exemption for the automotive industry. The proposed work aims to develop a biodegradable green composite using Poly Lactic Acid (PLA) as the polymeric matrix, flax fiber fabric as reinforcement, Epoxidized Palm Oil (EPO) as a plasticizer, and graphene powder as nano fillers. Using the hot compression technique, the solvent-cast composites with 5% EPO and 0.5% graphene nano fillers are fabricated and tested for mechanical strength to suit automobile applications. Tensile, flexural, impact tests and inter laminar shear strength analysis were performed and compared with the composite laminates made of PLA, PLA-EPO, and PLA-EPO-Graphene. Scanning Electron Microscopy (SEM) was used to observe the surface morphology at the rupture part of the tensile samples.

The study investigates a hybrid composite of Ethylene Propylene Diene Monomer (EPDM) rubber, short glass fibres, and graphene nanoplatelets (GNPs) to improve tensile strength, wear resistance, and nonlinear elastic behaviour. Specimens were prepared by compression molding and tested for tensile and wear performance. Stress-strain behaviour was analyzed using Neo-Hookean, Mooney-Rivlin, and Ogden models, with parameters determined through MATLAB optimization. The work combines EPDM rubber, short glass fibres, and GNPs for enhanced mechanical properties and applies comparative modelling using established constitutive models.The statistical analysis is conducted using one-way ANOVA to validate both experimental and analytical solutions. The hybrid composite showed a 110% increase in tensile strength and a 45% reduction in wear loss compared to pure EPDM. The Mooney-Rivlin model gave the lowest fitting error among the models considered. The MATLAB script developed can be used to predict stress-strain behaviour and assist in the design of similar composites for industrial use.