Calculation of shallow polymer shell taking the creep into account

In this paper, we obtain the equations allowing the calculation of shallow shells taking the creep into account under an arbitrary law of relationship between creep deformations and stresses. We also consider the methodology of calculation of polymeric membranes, the material of which is subject to a nonlinear equation of Maxwell-Gurevich.

[1]  R. El-Hajjar,et al.  Composite Structures , 2018 .

[2]  A. Chepurnenko,et al.  Calculation for the Circular Plate on Creep Considering Geometric Nonlinearity , 2016 .

[3]  A. Chepurnenko,et al.  Energy Method in the Calculation Stability of Compressed Polymer Rods Considering Creep , 2014 .

[4]  V. Andreev,et al.  On the Bending of a Thin Plate at Nonlinear Creep , 2014 .

[5]  I. Doghri,et al.  Coupled viscoelastic–viscoplastic modeling of homogeneous and isotropic polymers: Numerical algorithm and analytical solutions , 2011 .

[6]  H. Altenbach,et al.  On equations of the linear theory of shells with surface stresses taken into account , 2010 .

[7]  Anastasia Muliana,et al.  A time‐integration method for the viscoelastic–viscoplastic analyses of polymers and finite element implementation , 2009 .

[8]  G. J. Creus,et al.  An analytical–numerical framework for the study of ageing in fibre reinforced polymer composites , 2004 .

[9]  Rami Haj-Ali,et al.  Numerical finite element formulation of the Schapery non‐linear viscoelastic material model , 2004 .

[10]  J. L. Spoormaker,et al.  Solution strategies for FEM analysis with nonlinear viscoelastic polymers , 2002 .

[11]  Alan K. Miller,et al.  Unified constitutive equations for creep and plasticity , 1987 .

[12]  M. F. Ashby,et al.  CREEP DAMAGE MECHANICS AND MICROMECHANISMS , 2013 .

[13]  A. L. Gol'denveizer Asymptotic properties of eigenvalues in problems of the theory of thin elastic shells , 1961 .