Dynamic response of a loosely bonded viscoelastic/porous piezoelectric bilayer microplate to a frictional moving load over a parabolic discontinuity


Meghana A. R., Marin M., Dutta R., Gupta V., Sur A., YAYLACI M., ...Daha Fazla

APPLIED MATHEMATICAL MODELLING, cilt.157, 2026 (SCI-Expanded, Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 157
  • Basım Tarihi: 2026
  • Doi Numarası: 10.1016/j.apm.2026.116904
  • Dergi Adı: APPLIED MATHEMATICAL MODELLING
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Compendex, INSPEC, MathSciNet, zbMATH
  • Recep Tayyip Erdoğan Üniversitesi Adresli: Evet

Özet

The present study investigates the intricate dynamic behavior of micro-and nanoscale structures by analyzing the stress field developed within a finite-thickness two-layered system. This comprehensive framework enables a reliable evaluation of the structural reliability and functional stability of small-scale smart devices, which are often sensitive to size effects and surface imperfections. Stress analysis caused by a frictional moving load acting over a parabolic discontinuity is performed for the considered bilayer configuration. The composite structure consists of an upper Nonlocal Viscoelastic Layer (NVL) with an irregular surface, imperfectly bonded to an underlying Nonlocal Porous Piezoelectric Layer (NPPL). The analysis is based on Eringen's nonlocal elasticity theory to accurately capture the size-dependent mechanical response of the material. The governing equations, incorporating viscoelasticity, poroelasticity, and piezoelectric coupling under nonlocal effects, are systematically formulated. By employing suitable boundary conditions along with a perturbation-based analytical technique, closed-form expressions for both local and non-local shear and normal stresses are derived. A detailed parametric investigation is subsequently carried out to evaluate the influence of key parameters, including the friction coefficient, material viscosity, and geometric factors governing irregularity depth and profile. The principal novelty of the present work resides in the concurrent integration of nonlocality, porous characteristics, piezoelectric coupling, and arbitrary surface irregularities subjected to a dynamically moving load, making the results directly applicable to the design and optimization of microfabricated smart structures.