.png){kind=icon}
.png){kind=icon}
Return
Material and geometric nonlinear analysis of SVK orthotropic fabric utilizing variational principles and asymptotics
.png){kind=icon}
PRE
AI
S
R
G
DOI：10.1016/j.mechrescom.2026.104631.png)
.png){kind=icon}
Original request for help.png){kind=icon}
Share.png){kind=icon}
Save
Abstract
En 中文
The current work focuses on the nonlinear analysis (dimensional reduction) of a hyperelastic fabric governed by the SVK orthotropic material model using the Variational Asymptotic Method (VAM). The analysis is both geometric and material nonlinear. The geometric nonlinearity is due to finite deformations, and generalized 3D warping functions, while material nonlinearity is due to the hyperelastic material model. The VAM mathematically splits the 3D nonlinear elastic problem into the 1D through the thickness nonlinear analysis and 2D nonlinear reference surface analysis, using the inherent small parameters of two types, 1) geometric small parameter (ratio of thickness to the characteristic dimension), and 2) physical small parameter (moderate strains). The current work leads to the derivation of closed-form analytical expressions of 3D warping functions, and the 2D nonlinear constitutive law. The derived 2D nonlinear constitutive law is given as an input to the inhouse developed 2D nonlinear reference surface analysis to determine the 2D displacements and 2D strains. In order to validate the current theory, boundary value problems are solved and compared with the experimental findings of the literature.
Keywords:
VAM
2D nonlinear Constitutive law
Non-linear FEA
Hyperelastic
Orthotropic
Deployable structures
Warping functions
Journal
M
IF:
2.3
Papers:
115
Citations:
3.9K
Organization
Cited Papers