ISSN:
1573-2754
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
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Mathematics
,
Physics
Notes:
Abstract Using the method of successive approximations we find of this boundary-value problem the first-and second-order solutions. And then we obtain the formulae in the second approximation for the displacement, strain, and stress fields. Also, our results show that after deformation (i) a cross-section of the cylinder must be displaced into a plane section perpendicular to the central axis of the cylinder; and (ii) neither the sum of the strain components E RR (2) and E ϕϕ (2) nor the sum of the stress components E RR (1) and E ΦΦ (1) maintains contant throughout the cylinder. The latter effect, which is absent from classical elasticity, bears respensibility for the presence of the E ZZ (1) . Moreover, there exhibits a linear relation between E ZZ (1) and (E RR (2) +E OO (1) ), with the proportionality coefficients depending only on the material of the cylinder.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01910447
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