Premium
On a thermal stress problem for contacting half‐spaces with inclusions of other material involving a new method for computing potentials and singular integrals
Author(s) -
Jentsch Lothar
Publication year - 1988
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.1670100303
Subject(s) - mathematics , singular integral , cauchy stress tensor , tensor (intrinsic definition) , mathematical analysis , kernel (algebra) , operator (biology) , symmetric tensor , thermal , stress (linguistics) , integral equation , exact solutions in general relativity , geometry , pure mathematics , physics , chemistry , biochemistry , repressor , transcription factor , gene , linguistics , philosophy , meteorology
This paper deals with a thermal stress problem for contacting half‐spaces of different materials having an inclusion of other material. With the aid of the contact tensor of two half spaces the problem is reduced to singular integral equations. Some new theorems on potentials with the contact tensor are used. Finally, a potential of the double layer with the contact tensor in the kernel and a singular integral operator, being the direct value of the potential, are calculated. For this a Kupradze method is applied, interpreting this potential as a solution of a contact problem of elastostatics. Some numerical experiments are communicated.