Advanced Application of the Boundary Element Method
Applied to the Analysis of Polymers
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The boundary element method was applied to polymer analysis. The comparison of two existing BEM approaches was carried out solving a benchmark viscoelastic problem numerically and comparing with the analytical solutions. The fundamental solutions due to both Heaviside and Dirac impulse were obtained for a generalised Maxwell SLS material model. A new time-domain BEM formulation for viscoelasticity was derived, and the computer program was implemented and validated. A mixed method for quasi-static viscoelasticity was proposed. Several viscoelastic problems were solved for the purpose of validat...
The boundary element method was applied to polymer
analysis. The comparison of two existing BEM
approaches was carried out solving a benchmark
viscoelastic problem numerically and comparing with
the analytical solutions. The fundamental solutions
due to both Heaviside and Dirac impulse were
obtained for a generalised Maxwell SLS material
model. A new time-domain BEM formulation for
viscoelasticity was derived, and the computer
program was implemented and validated. A mixed
method for quasi-static viscoelasticity was
proposed. Several viscoelastic problems were solved
for the purpose of validating this formulation.
Numerical results were compared with analytical
solutions, and good agreement was achieved. The BEM
was applied to viscoelastic fracture problems. The
effectiveness of the adopted BEM modelling was
tested on an elastic fracture problem. The time-
dependent strain energy release rate and J-integral
in viscoelasticity were evaluated under different
loading conditions. An integral equation for
nonlinear viscoelastic problems was derived. The
method to remove the high singularity in the
irreducible domain integral was proposed.
analysis. The comparison of two existing BEM
approaches was carried out solving a benchmark
viscoelastic problem numerically and comparing with
the analytical solutions. The fundamental solutions
due to both Heaviside and Dirac impulse were
obtained for a generalised Maxwell SLS material
model. A new time-domain BEM formulation for
viscoelasticity was derived, and the computer
program was implemented and validated. A mixed
method for quasi-static viscoelasticity was
proposed. Several viscoelastic problems were solved
for the purpose of validating this formulation.
Numerical results were compared with analytical
solutions, and good agreement was achieved. The BEM
was applied to viscoelastic fracture problems. The
effectiveness of the adopted BEM modelling was
tested on an elastic fracture problem. The time-
dependent strain energy release rate and J-integral
in viscoelasticity were evaluated under different
loading conditions. An integral equation for
nonlinear viscoelastic problems was derived. The
method to remove the high singularity in the
irreducible domain integral was proposed.
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