The solution of integral equations which arise in periodic problems with mixed boundary conditions
β Scribed by V.M. Aleksandrov
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 341 KB
- Volume
- 61
- Category
- Article
- ISSN
- 0021-8928
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β¦ Synopsis
A two-parameter integral ,equation of the first kind with a difference periodic kernel, to which a wide range of periodic problems of the mechanics of continua with mixed boundary conditions can be reduced, is investigated. For the two main versions it is converted to a singular integral equation, which can be effectively solved using many well-known approximate methods. In a special case dosed solutiolm of the initial equation are obtained. Antiplane contact problems for an elastic plane and a cylindrical layer are considered.
π SIMILAR VOLUMES
When an mtemally heated body IS cooled along Its boundary by a penpherally flowmg flmd that IS contmually replemshed from an external source, a dlfferentml energy balance on the boundary leads to unfamiliar boundary condltlons Such boundary condltlons Involve mued second denuatrues with respect to s
A one-dimensiorzt drift-diffasion mechai-fi~,,m combined with special boundary conditions is investigated. Thi~ mechanism may be used to de~:ribe the b\_'haviour of mobile ions with surface trapping. The problem is solved numerically wi.th an inte-gr~differential equation and with a double integral