Abstract
This paper deals with an extension of a method of solution in terms of stress function for dynamic problems of elasticity to the case of an elastic solid with viscous damping. It is Assumed that the damping forces considered in this paper are proportional to the velocity of motion of particles in a solid, and Hooke's law for stresses an strains holds. Stress functions of the so-called Galerkin type and Neuber-Papkovich type in the three dimensional theory of elasticity and the Love type in axisymmetric problems of elasticity are investigated. Stress functions are also shown for axisymmetric dynamic body force problems of elasticity, taking into account the viscous damping, and an example of their application is presented.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
