Some basic boundary value problems for plane theory of elasticity of porous Cosserat media with triple‐porosity

Some basic boundary value problems for plane theory of elasticity of porous Cosserat media with... The static equilibrium of porous elastic materials with triple‐porosity is considered in the case of an elastic Cosserat medium. A two‐dimensional system of equations of plane deformation is written in the complex form and its general solution is represented by means of three analytic functions of a complex variable and three solutions of Helmholtz equations. The constructed general solution enables one to solve analytically a sufficiently wide class of plane boundary value problems of the elastic equilibrium of porous Cosserat media with triple‐porosity. (© 2017 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim) http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Proceedings in Applied Mathematics & Mechanics Wiley

Some basic boundary value problems for plane theory of elasticity of porous Cosserat media with triple‐porosity

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Publisher
Wiley Subscription Services, Inc., A Wiley Company
Copyright
Copyright © 2017 Wiley Subscription Services
ISSN
1617-7061
eISSN
1617-7061
D.O.I.
10.1002/pamm.201710321
Publisher site
See Article on Publisher Site

Abstract

The static equilibrium of porous elastic materials with triple‐porosity is considered in the case of an elastic Cosserat medium. A two‐dimensional system of equations of plane deformation is written in the complex form and its general solution is represented by means of three analytic functions of a complex variable and three solutions of Helmholtz equations. The constructed general solution enables one to solve analytically a sufficiently wide class of plane boundary value problems of the elastic equilibrium of porous Cosserat media with triple‐porosity. (© 2017 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)

Journal

Proceedings in Applied Mathematics & MechanicsWiley

Published: Jan 1, 2017

References

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