Numerical determination of displacement fields in elastic disks with stress boundary conditions
Author:
Jay W. Feldmann
Journal:
Quart. Appl. Math. 29 (1971), 205-224
MSC:
Primary 73.65
DOI:
https://doi.org/10.1090/qam/302028
MathSciNet review:
302028
Full-text PDF Free Access
Abstract |
References |
Similar Articles |
Additional Information
Abstract: An earlier method [5] of establishing consistent finite difference equations is extended to obtain equations of higher degrees of precision. Again, the main advantage over the customary finite element method is that this new technique uses a uniform grid so that the boundary of the disk need not consist of grid segments. Numerous displays of pertinent quantities are given to facilitate the application of the method to specific stress boundary value problems.
W. Prager, Variational principles of linear elastostatics for discontinuous displacements, strains, and stresses, in Recent progress in applied mechanics, The Folke Odqvist Volume, Almqvist & Wiksell, Stockholm, 1967, pp. 463â474
- William Prager, Introduction to mechanics of continua, Introductions to Higher Mathematics. Ginn and Co., Boston, Mass.-Toronto-London, 1961. MR 0126974
- William Prager, Introduction to basic ${\rm FORTRAN}$ programming and numerical methods, Blaisdell Publishing Co. Ginn and Co. New York-Toronto-London, 1965. MR 0175330
- Georges PĂłlya, Sur une interprĂ©tation de la mĂ©thode des diffĂ©rences finies qui peut fournir des bornes supĂ©rieures ou infĂ©rieures, C. R. Acad. Sci. Paris 235 (1952), 995â997 (French). MR 52674
M. Tanrikulu and W. Prager, Consistent finite difference equations for thin elastic disks of variable thickness, Internal. J. Solids and Structures, 3, 197â205 (1967)
B. Fraeijs de Veubeke, Displacement and equilibrium models in the finite element method, in Stress analysis: recent developments in numerical and experimental methods, edited by O. C. Zienkiewicz and G. Holister, Wiley, New York and London, 1965
J. H. Argyris, Continua and discontinua: an aperçu of recent developments of the matrix displacement methods, Proc. Conference on Matrix Methods in Structural Mechanics, USAF AFFDL-TR-66-80, Dayton, Ohio, 1965
W. Prager, Variational principles of linear elastostatics for discontinuous displacements, strains, and stresses, in Recent progress in applied mechanics, The Folke Odqvist Volume, Almqvist & Wiksell, Stockholm, 1967, pp. 463â474
W. Prager, Introduction to mechanics of continua, in Introduction to higher mathematics, Ginn, Boston, Mass., 1961
W. Prager, Introduction to basic FORTRAN programming and numerical methods, Blaisdell, Waltham, Mass., 1965
G. Pólya, Sur une interprétation de la méthode des différences finies qui peut fournir des bornes supérieures ou inférieures, C. R. Acad. Sci. Paris 235, 995-997 (1952)
M. Tanrikulu and W. Prager, Consistent finite difference equations for thin elastic disks of variable thickness, Internal. J. Solids and Structures, 3, 197â205 (1967)
B. Fraeijs de Veubeke, Displacement and equilibrium models in the finite element method, in Stress analysis: recent developments in numerical and experimental methods, edited by O. C. Zienkiewicz and G. Holister, Wiley, New York and London, 1965
J. H. Argyris, Continua and discontinua: an aperçu of recent developments of the matrix displacement methods, Proc. Conference on Matrix Methods in Structural Mechanics, USAF AFFDL-TR-66-80, Dayton, Ohio, 1965
Similar Articles
Retrieve articles in Quarterly of Applied Mathematics
with MSC:
73.65
Retrieve articles in all journals
with MSC:
73.65
Additional Information
Article copyright:
© Copyright 1971
American Mathematical Society
