scholarly journals A peridynamic approach for modeling of two dimensional functionally graded plates

2022 ◽  
Vol 279 ◽  
pp. 114743
Author(s):  
Mehmet Dorduncu ◽  
Ibrahim Olmus ◽  
Timon Rabczuk
Keyword(s):  
Functionally Graded ◽  
Two Dimensional ◽  
Functionally Graded Plates

Thermal stress analysis of one- and two-dimensional functionally graded plates subjected to in-plane heat fluxes

2017 ◽  
Vol 233 (4) ◽  
pp. 546-562 ◽  
Author(s):  
M Didem Demirbas ◽  
M Kemal Apalak
Keyword(s):  
Heat Flux ◽  
Thermal Stress ◽  
Functionally Graded ◽  
Heat Fluxes ◽  
Gradient Material ◽  
Two Dimensional ◽  
Functionally Graded Plates ◽  
Functionally Gradient Material ◽  
Functionally Gradient ◽  
Composition Variation

This study addresses the thermal stress analysis of one- and two-dimensional functionally graded plates subjected to in-plane heat fluxes. The material composition variation is assumed in-plane, not through the plate thickness according to a power-law distribution in terms of the volume fraction of the constituents. The mathematical model considers the spatial derivatives of local mechanical and thermal properties. The heat transfer and Navier equations of the two-dimensional thermo-elastic model were discretized using the finite difference method, and the set of linear equations were solved using the pseudo singular value method. The performance of both one- and two-dimensional functionally gradient material plates was investigated under two types of in-plane fluxes: one-edge and two-edges. For each type of heat fluxes, one- and two-dimensional functionally gradient material plates exhibited different displacement, stress and strain distributions. The temperature levels and distributions were affected with increasing ceramic constituent in the composition variation of the plate. One-dimensional functionally gradient material plate was more suitable for an one-edge heat flux along the direction of material composition variation, whereas two-dimensional functionally gradient material plate was more effective on the relieving the thermal stresses for a two-edges heat flux.

In-Plane Thermal Residual Stresses in Functionally Graded Plates

2014 ◽  
Author(s):  
M. Kemal Apalak ◽  
M. Didem Demirbas
Keyword(s):  
Residual Stresses ◽  
Linear Equations ◽  
Plate Thickness ◽  
Transient Heat Conduction ◽  
Functionally Graded ◽  
Stress And Strain ◽  
Two Dimensional ◽  
Functionally Graded Plates ◽  
Compositional Gradient ◽  
Thermal Residual Stresses

This study addresses in-plane thermal residual stresses in two-dimensional functionally graded plates under a constant in-plane heat flux. The plate material properties vary with a power law along two in-plane directions not through the plate thickness. The transient heat conduction and Elasticity’s Navier equations describing the two-dimensional thermo-elastic problem were discretized using the finite-difference method, and the set of linear equations was solved using the pseudo singular value method. The in-plane transient distributions of temperature, displacement, stress and strain components were determined, and the two-dimensional exponents and directions of compositional gradient were investigated in terms of their effects on the stress and strain distributions in both plates. The exponent and direction of the compositional gradient affected the peak in-plane strain and stress levels; therefore, the stress and strain distributions can be relieved by arranging the exponent and directions of the compositional gradient.

Sign in / Sign up

Export Citation Format

Share Document