Advanced Application of the Boundary Element Method: Applied to the Analysis of Polymers - Softcover

Wu, Jiangwei

 
9783639174427: Advanced Application of the Boundary Element Method: Applied to the Analysis of Polymers
Softcover
ISBN 10: 3639174429 ISBN 13: 9783639174427
Publisher: VDM Verlag, 2009

Synopsis

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.

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About the Author

Jiangwei Wu, PhD: Studied Mechanical Engineering at University of Southampton. MSc and Bsc: Studied Precision Machinery and Precision Instrumentation at University of Science and Technology of China. Associate Professor in Shanghai Maritime University.

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Publisher
VDM Verlag
Publication date
2009
Language
English
ISBN 10 
3639174429
ISBN 13 
9783639174427
Binding
Paperback
Number of pages
148