Lamb's plane problem in a thermo-elastic micropolar medium with stretch

• Main Authors: T. K. Chadha, Rajneesh Kumar, Lokenath Bebnath
• Format: Article
• Language: English
• Published: Hindawi Limited 1987-01-01
• Series: International Journal of Mathematics and Mathematical Sciences
• Subjects: Lamb's problem; Fourier transform; and micropolar medium.
• Online Access: http://dx.doi.org/10.1155/S0161171287000231

A study is made of the Lamb plane problem in a thermo-elastic micropolar medium with the effect of stretch. The problem is solved for an arbitrary, normal load distribution by using the double Fourier transform. The displacement components, force stress, couple stress, vector first moment and the temperature field are determined for a half space subjected to an arbitrary normal load. Two special cases of a horizontal force and a torque which are oscillating with a frequency ω have been investigated. It is shown that results of this analysis reduce to those without stretch.