A coupled performance-economic analysis of nonlinear waves in TD-FG nanoplates for advanced applications


Guo M., Wu Y., YAYLACI M.

ADVANCES IN NANO RESEARCH, cilt.20, sa.2, ss.187-204, 2026 (SCI-Expanded, Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 20 Sayı: 2
  • Basım Tarihi: 2026
  • Doi Numarası: 10.12989/anr.2026.20.2.187
  • Dergi Adı: ADVANCES IN NANO RESEARCH
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Compendex
  • Sayfa Sayıları: ss.187-204
  • Recep Tayyip Erdoğan Üniversitesi Adresli: Evet

Özet

Recent research into nano technology has created new methods for assessing and developing functionally graded nanostructures which will serve future engineering applications. The study examines the propagation of nonlinear wave patterns through tri-directional functionally graded (TD-FG) nanoplates which combine ceramic aluminum oxide and metal stainless steel SUS304 through a performance and economic assessment. The material properties are assumed to vary continuously along the length, width, and thickness directions to achieve enhanced mechanical performance while enabling cost-efficient material distribution. The governing framework uses nonlocal strain gradient theory to describe size-dependent effects which become evident at nanoscale dimensions. The researchers used a quasi-three-dimensional refined theory to achieve precise measurements of transverse shear deformation and thickness stretching without needing shear correction factors. The von-Karman assumptions enable researchers to study wave propagation through intermediate deformations because they include geometric nonlinearity. The process of deriving the nonlinear coupled equations of motion and their boundary conditions starts from Hamilton's principle which is implemented through a consistent variational framework. The displacement field gets described through a harmonic representation while an iterative solution method handles the nonlinear relationship between wave characteristics and structural response. The assessment of combined performance together with economic factors shows how tri-directional material gradation and nanoscale parameters and nonlinear effects impact wave dispersion and structural performance. The results demonstrate that optimized gradation patterns can achieve two objectives which are to improve wave propagation performance and to decrease material usage which creates design standards for advanced nano-engineered components that aerospace and micro-electromechanical and high-performance mechanical systems will use.