Nonlinear Finite Element Model for FGM Porous Circular and Annular Micro-Plates Under Thermal and Mechanical Loads Using Modified Couple Stress-Based Third-Order Plate Theory DOI Creative Commons

Enrique Nava,

Jinseok Kim

Mathematical and Computational Applications, Journal Year: 2025, Volume and Issue: 30(2), P. 35 - 35

Published: March 26, 2025

A nonlinear finite element model for circular and annular micro-plates under thermal mechanical loading was developed using a third-order shear deformation theory. In the kinematic assumptions, change in plate thickness is allowed, no transverse strains are considered on top bottom surfaces. power-law distribution utilized to account variations two constituents through of plate. Three different types porosity distributions considered. The strain gradient effect micro-scale structures accounted by modified couple stress Hamilton’s principle used obtain equations motion, conforming elements development model. verified against available literature analytical solutions. effects material distribution, microstructure-dependency, geometric nonlinearity, various boundary conditions bending response functionally graded porous were studied

Language: Английский

Assessment of the porosity and general viscoelastic foundation effects on the damped vibration analysis of functionally graded plates DOI
Mofareh Hassan Ghazwani,

Ali Alnujaie,

Pham Van Vinh

et al.

Mechanics Based Design of Structures and Machines, Journal Year: 2025, Volume and Issue: unknown, P. 1 - 26

Published: March 17, 2025

Language: Английский

Citations

0

Nonlinear Finite Element Model for FGM Porous Circular and Annular Micro-Plates Under Thermal and Mechanical Loads Using Modified Couple Stress-Based Third-Order Plate Theory DOI Creative Commons

Enrique Nava,

Jinseok Kim

Mathematical and Computational Applications, Journal Year: 2025, Volume and Issue: 30(2), P. 35 - 35

Published: March 26, 2025

A nonlinear finite element model for circular and annular micro-plates under thermal mechanical loading was developed using a third-order shear deformation theory. In the kinematic assumptions, change in plate thickness is allowed, no transverse strains are considered on top bottom surfaces. power-law distribution utilized to account variations two constituents through of plate. Three different types porosity distributions considered. The strain gradient effect micro-scale structures accounted by modified couple stress Hamilton’s principle used obtain equations motion, conforming elements development model. verified against available literature analytical solutions. effects material distribution, microstructure-dependency, geometric nonlinearity, various boundary conditions bending response functionally graded porous were studied

Language: Английский

Citations

0