| Abstract: | The leader term of an asymptotic expansion of a solution to the problem of elasticity about a body pierced by several parallel
rods is considered. The role of parameters is played by the diameters (small parameters) of the rods and the ratios (large
parameters) of the rigidity of the material of the rods to that of the body. The influence of the body on the rods and interactions
between the rods are studied. The asymptotic formulas are justified by means of a special (weighted) Korn inequality. Bibliography:
37 titles. Illustrations: 1 figure.
Translated fromProblemy Matematicheskogo Analiza, No. 20, 2000, pp. 3–55. |
