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  4. A variational method of homogeneous solutions for axisymmetric elasticity problems for cylinder

A variational method of homogeneous solutions for axisymmetric elasticity problems for cylinder

MMC.
2015;
Volume 2, Number 2
: pp. 128-139
https://doi.org/10.23939/mmc2015.02.128
Received: September 01, 2015

Math. Model. Comput. Vol. 2, No. 2, pp. 128-139 (2015)

Authors:
  1. V. Chekurin
  2. L. Postolaki
1
Pidstryhach Institute for Applied Problems of Mechanics and Mathematics of NAS of Ukraine; Kuyawy and Pomorze University in Bydgoszcz
2
Pidstryhach Institute for Applied Problems of Mechanics and Mathematics National Academy of Sciences of Ukraine

A variational method of homogeneous solutions for axisymmetric elasticity problems for semiinfinite and finite cylinders with loaded end faces  and free lateral surface has been developed. As examples of application of the proposed approach the problem of bending of the thick disk by concentrated forces applied to its end faces have been considered.

cylindrical body
axisymmetric elasticity problem
Love's function
biharmonic equation
variational method of homogeneous solutions
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