Conservative Semidiscrete Difference Schemes for Timoshenko Systems
Author
Júnior, Dilberto da S. Almeida
Source
Journal of Applied Mathematics
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-05-07
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
We present a parameterized family of finite-difference schemes to analyze the energy properties for linearly elastic constant-coefficient Timoshenko systems considering shear deformation and rotatory inertia.
We derive numerical energies showing the positivity, and the energy conservation property and we show how to avoid a numerical anomaly known as locking phenomenon on shear force.
Our method of proof relies on discrete multiplier techniques.
American Psychological Association (APA)
Júnior, Dilberto da S. Almeida. 2014. Conservative Semidiscrete Difference Schemes for Timoshenko Systems. Journal of Applied Mathematics،Vol. 2014, no. 2014, pp.1-7.
https://search.emarefa.net/detail/BIM-490551
Modern Language Association (MLA)
Júnior, Dilberto da S. Almeida. Conservative Semidiscrete Difference Schemes for Timoshenko Systems. Journal of Applied Mathematics No. 2014 (2014), pp.1-7.
https://search.emarefa.net/detail/BIM-490551
American Medical Association (AMA)
Júnior, Dilberto da S. Almeida. Conservative Semidiscrete Difference Schemes for Timoshenko Systems. Journal of Applied Mathematics. 2014. Vol. 2014, no. 2014, pp.1-7.
https://search.emarefa.net/detail/BIM-490551
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-490551