Show/Hide Menu
Hide/Show Apps
Logout
Türkçe
Türkçe
Search
Search
Login
Login
OpenMETU
OpenMETU
About
About
Open Science Policy
Open Science Policy
Open Access Guideline
Open Access Guideline
Postgraduate Thesis Guideline
Postgraduate Thesis Guideline
Communities & Collections
Communities & Collections
Help
Help
Frequently Asked Questions
Frequently Asked Questions
Guides
Guides
Thesis submission
Thesis submission
MS without thesis term project submission
MS without thesis term project submission
Publication submission with DOI
Publication submission with DOI
Publication submission
Publication submission
Supporting Information
Supporting Information
General Information
General Information
Copyright, Embargo and License
Copyright, Embargo and License
Contact us
Contact us
Transient response of an infinite elastic medium containing a spherical cavity with and without a shell embedment
Date
1997-01-01
Author
Akkas, N
Zakout, U
Metadata
Show full item record
This work is licensed under a
Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License
.
Item Usage Stats
181
views
0
downloads
Cite This
The analytical solution is obtained for the transient response to an axisymmetric and non-torsional surface load of an infinite, isotropic, elastic medium containing a spherical cavity with and without a thin elastic shell embedment using the Residual Variable Method. The main advantage of the present approach is that it eliminates the computational problems arising in the existing methods which are primarily based on the Fourier transformation technique. Extensive numerical results for the displacements and stresses at different locations are presented graphically for the case of a radial, Heaviside loading. Copyright (C) 1997 Elsevier Science Ltd.
URI
https://hdl.handle.net/11511/64436
Journal
INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE
DOI
https://doi.org/10.1016/s0020-7225(96)00077-8
Collections
Department of Engineering Sciences, Article
Suggestions
OpenMETU
Core
Transient response of an infinite elastic medium containing a spherical cavity subjected to torsion
Zakout, U; Akkas, Z; Tupholme, GE (2000-06-01)
An exact closed-form solution is obtained for the transient response of an infinite isotropic elastic medium containing a spherical cavity subjected to torsional surface loading using the residual variable method. The main advantage of the present approach is that it eliminates the computational problems arising in the existing methods which are primarily based on Fourier or Laplace transformation techniques. Extensive numerical results for the circumferential displacements and shear stresses at various loc...
Transient response of a cylindrical cavity with and without a bonded shell in an infinite elastic medium
Zakout, U; Akkas, N (1997-09-01)
The solution is obtained for the transient response to a nontorsional surface load of an infinite. isotropic. elastic medium containing a cylindrical cavity with and without a thin elastic shell embedment using the Residual Variable Method. The main advantage of the present approach is that it eliminates the computational problems arising in the existing methods which are primarily based on the Fourier transformation technique. Numerical results for the displacements and stresses at different locations are ...
COMPRESSIBLE, HYPERELASTIC SPINNING TUBES SUBJECTED TO CIRCUMFERENTIAL SHEAR
ERTEPINAR, A (Elsevier BV, 1991-01-01)
The finite strain behavior of cylindrical tubes, made of a polynomial compressible material and subjected to the simultaneous action of constant spin and uniform external circumferential shear, is investigated using the theory of finite elasticity. The inner surface of the tube is assumed to be perfectly bonded to a rigid shaft. The governing quasi-linear system of two ordinary differential equations is solved using a shooting method. Numerical results are generated to analyze, qualitatively, the effects...
Finite anti-plane shear of compressible hyperelastic tubes
Erarslanoğlu, G.; Ertepınar, A. (Elsevier BV, 1990-1)
Finite, anti-plane shear of a long, hyperelastic, compressible circular cylindrical tube is investigated using the theory of finite elasticity. The highly nonlinear, coupled, ordinary differential equations with variable coefficients governing the problem are solved numerically using the method of adjoints. The effect of the compressibility of the material is studied in several numerical examples.
Numerical Solution and Stability Analysis of Transient MHD Duct Flow
Tezer, Münevver (2018-11-01)
This paper simulates the 2D transient magnetohydrodynamic (MHD) flow in a rectangular duct in terms of the velocity of the fluid and the induced magnetic field by using the radial basis function (RBF) approximation. The inhomogeneities in the Poisson’s type MHD equations are approximated using the polynomial functions (1+r) and the particular solution is found satisfying both the equations and the boundary conditions (no-slip and insulated walls). The Euler scheme is used for advancing the solution to ste...
Citation Formats
IEEE
ACM
APA
CHICAGO
MLA
BibTeX
N. Akkas and U. Zakout, “Transient response of an infinite elastic medium containing a spherical cavity with and without a shell embedment,”
INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE
, pp. 89–112, 1997, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/64436.