The Hamiltonian System Method for the Stress Analysis in Axisymmetric Problems of Viscoelastic Solids
Joint Authors
Source
Journal of Applied Mathematics
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-10-02
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
With the use of the Laplace integral transformation and state space formalism, the classical axial symmetric quasistatic problem of viscoelastic solids is discussed.
By employing the method of separation of variables, the governing equations under Hamiltonian system are established, and hence, general solutions including the zero eigensolutions and nonzero eigensolutions are obtained analytically.
Due to the completeness property of the general solutions, their linear combinations can describe various boundary conditions.
Simply by applying the adjoint relationships of the symplectic orthogonality, the eigensolution expansion method for boundary condition problems is given.
In the numerical examples, stress distributions of a circular cylinder under the end and lateral boundary conditions are obtained.
The results exhibit that stress concentrations appear due to the displacement constraints, and that the effects are seriously confined near the constraints, decreasing rapidly with the distance from the boundary.
American Psychological Association (APA)
Zhang, W. X.& Bai, Y.& Yuan, F.. 2012. The Hamiltonian System Method for the Stress Analysis in Axisymmetric Problems of Viscoelastic Solids. Journal of Applied Mathematics،Vol. 2012, no. 2012, pp.1-14.
https://search.emarefa.net/detail/BIM-993869
Modern Language Association (MLA)
Zhang, W. X.…[et al.]. The Hamiltonian System Method for the Stress Analysis in Axisymmetric Problems of Viscoelastic Solids. Journal of Applied Mathematics No. 2012 (2012), pp.1-14.
https://search.emarefa.net/detail/BIM-993869
American Medical Association (AMA)
Zhang, W. X.& Bai, Y.& Yuan, F.. The Hamiltonian System Method for the Stress Analysis in Axisymmetric Problems of Viscoelastic Solids. Journal of Applied Mathematics. 2012. Vol. 2012, no. 2012, pp.1-14.
https://search.emarefa.net/detail/BIM-993869
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-993869