Buckling of yeast modeled as viscoelastic shells with transverse shearing

2011 ◽  
Vol 82 (1) ◽  
pp. 69-77 ◽  
Author(s):  
Yiming Fu ◽  
Jin Zhang
Keyword(s):  
Transverse Shearing ◽  
Viscoelastic Shells

One-dimensional models of fourth and sixth orders for rods derived from three-dimensional elasticity

2016 ◽  
Vol 22 (2) ◽  
pp. 158-175 ◽  
Author(s):  
Erick Pruchnicki
Keyword(s):  
Order Term ◽  
Three Dimensional ◽  
Transverse Dimension ◽  
Lagrange Equations ◽  
Transverse Shearing ◽  
Natural Boundary Conditions ◽  
The Stability ◽  
Shearing Energy ◽  
Three Dimensional Elasticity ◽  
Double Symmetry

The displacement field in rods can be approximated by using a Taylor–Young expansion in transverse dimension of the rod. These involve that the highest-order term of shear is of second order in the transverse dimension of the rod. Then we show that transverse shearing energy is removed by the fourth-order truncation of the potential energy and so we revisit the model presented by Pruchnicki. Then we consider the sixth-order truncation of the potential which includes transverse shearing and transverse normal stress energies. For these two models we show that the potential energies satisfy the stability condition of Legendre–Hadamard which is necessary for the existence of a minimizer and then we give the Euler–Lagrange equations and the natural boundary conditions associated with these potential energies. For the sake of simplicity we consider that the cross-section of the rod has double symmetry axes.

scholarly journals Non-linear vibrations of sandwich viscoelastic shells

2018 ◽  
Vol 346 (4) ◽  
pp. 308-319 ◽  
Author(s):  
Lahcen Benchouaf ◽  
El Hassan Boutyour ◽  
El Mostafa Daya ◽  
Michel Potier-Ferry
Keyword(s):  
Non Linear ◽  
Linear Vibrations ◽  
Viscoelastic Shells

scholarly journals A Justification of Two-Dimensional Nonlinear Viscoelastic Shells Model

2012 ◽  
Vol 2012 ◽  
pp. 1-24
Author(s):  
Fushan Li
Keyword(s):  
Asymptotic Expansion ◽  
Asymptotic Analysis ◽  
Laplace Transformation ◽  
Three Dimensional ◽  
Two Dimensional ◽  
Nonlinear Viscoelastic ◽  
Leading Term ◽  
Viscoelastic Shells

By applying formal asymptotic analysis and Laplace transformation, we obtain two-dimensional nonlinear viscoelastic shells model satisfied by the leading term of asymptotic expansion of the solution to the three-dimensional equations.

scholarly journals Radial motions of viscoelastic shells

1986 ◽  
Vol 63 (3) ◽  
pp. 289-305 ◽  
Author(s):  
M.Carme Calderer
Keyword(s):  
Viscoelastic Shells
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