A NOTE ON CONSERVATION PRINCIPLES IN CLASSICAL MECHANICS

Date

1994-01-01

Author

TABARROK, B
Tezer, Cem
STYLIANOU, M

Metadata

Show full item record

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Item Usage Stats

103
views

0
downloads

In the following we examine the notion of conserved quantities in problems of elastostatics and elastodynamics. We show that the well known formulation which leads to T + V = Constant can be generalised yielding conservation properties to some new and at times unexpected quantities. These new conservation properties may at times be the only means for verifying results obtained by numerical techniques.

Subject Keywords

Mechanical Engineering, Computational Mechanics

URI

https://hdl.handle.net/11511/63282

Journal

ACTA MECHANICA

DOI

https://doi.org/10.1007/bf01201825

Collections

Department of Mathematics, Article

Suggestions

OpenMETU
Core

Extension of the residual variable method to propagation problems and its application to the diffusion equation in spherical coordinates AKKAS, N; Tokdemir, Turgut (Springer Science and Business Media LLC, 1993-01-01) We consider a partial differential equation in spherical (cylindrical) coordinates describing a dynamic process in an infinite medium with an inner spherical (cylindrical) boundary. If an analytical solution is not possible to obtain, then one resorts to numerical techniques. In this case it becomes necessary to discretize the infinite domain even if the solution is required on the inner spherical (cylindrical) surface or at a limited number of points in the domain only. The Residual Variable Method (RVM) c...
The use of dual reciprocity boundary element method in coupled thermoviscoelasticity Baranoglu, Besim; Mengi, Yalcin (Elsevier BV, 2006-01-01) A boundary element formulation is presented in a unified form for the analysis of thermoviscoelasticity problems. The formulation contains the thermoelastic material as a special case. The boundary-only nature of boundary element method is retained through the use of particular integral method; where the particular solutions are evaluated with the aid of dual reciprocity approximation. The proposed formulation can be used in both coupled and uncoupled thermoviscoelasticity analyses, and it permits performin...
The shrink fit consisting of elastic hollow shaft and nonlinearly hardening elastic-plastic hub Orcan, Y; GAMER, U (Springer Science and Business Media LLC, 1990-3) Based on Tresca's yield criterion and the flow rule associated to it, general expressions for stresses and displacement in a shrink fit consisting of elastic hollow inclusion and elastic-plastic hub with arbitrary nonlinear isotropic hardening are derived. For two specific hardening laws—one of Ludwik type and the other of Swift type—there follows the explicit determination of stresses and displacement together with numerical results.
Time-domain BEM solution of convection-diffusion-type MHD equations Bozkaya, N.; Tezer, Münevver (Wiley, 2008-04-20) The two-dimensional convection-diffusion-type equations are solved by using the boundary element method (BEM) based on the time-dependent fundamental solution. The emphasis is given on the solution of magnetohydrodynamic (MHD) duct flow problems with arbitrary wall conductivity. The boundary and time integrals in the BEM formulation are computed numerically assuming constant variations of the unknowns on both the boundary elements and the time intervals. Then, the solution is advanced to the steady-state it...
Rigid-like fluid motion Selamoğlu, S. (Springer Science and Business Media LLC, 1990-9) An arbitrary, rigid-like, unsteady flow of a fluid under constant, uniform body force is shown to be impossible in general unless the flow is a translation parallel to the body force. Consequently, the known steady-state, rigid-like fluid flows having horizontal components could be reached from a state of rest by the aid of dissipative processes only; and any two such steady states cannot be tied by an unsteady rigid-like flow program. Examples are given for approximately —rigid-like plane motion of a liqui...

Citation Formats

B. TABARROK, C. Tezer, and M. STYLIANOU, “A NOTE ON CONSERVATION PRINCIPLES IN CLASSICAL MECHANICS,” ACTA MECHANICA, pp. 137–152, 1994, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/63282.