A bound on the error in Reissner's theory of plates

Author:
R. P. Nordgren

Journal:
Quart. Appl. Math. **29** (1972), 551-556

MSC:
Primary 73.41

DOI:
https://doi.org/10.1090/qam/400860

MathSciNet review:
400860

Full-text PDF Free Access

References | Similar Articles | Additional Information

**[1]**R. P. Nordgren,*A bound on the error in plate theory*, Quart. Appl. Math.**28**, 587-595 (1971) MR**0280051****[2]**W. Prager and J. L. Synge,*Approximations in elasticity based on the concept of function space*, Quart. Appl. Math.**5**, 241-269 (1947) MR**0025902****[3]**J. L. Synge,*The hypercircle in mathematical physics: A method for the approximate solution of boundary value problems*, University Press, New York, 1957 MR**0097605****[4]**J. G. Simmonds,*An improved estimate for the error in the classical linear theory of plate bending*, Quart. Appl. Math, (to appear)**[5]**E. Reissner,*The effect of transverse shear deformation on the bending of elastic plates*, J. Appl. Mech.**12**, A-69-A-77 (1945) MR**0012579****[6]**R. D. Mindlin,*Influence of rotatory inertia and shape on flexural vibrations of isotropic, elastic plates*, J. Appl. Mech.**18**, 31-38 (1951)**[7]**A. E. Green,*On Reissner's theory of bending of elastic plates*, Quart. Appl. Math.**7**, 223-228 (1949)**[8]**A. E. H. Love,*A treatise on the mathematical theory of elasticity*, 4th ed., Dover, New York, 1944 MR**0010851**

Retrieve articles in *Quarterly of Applied Mathematics*
with MSC:
73.41

Retrieve articles in all journals with MSC: 73.41

Additional Information

DOI:
https://doi.org/10.1090/qam/400860

Article copyright:
© Copyright 1972
American Mathematical Society