An application of the Lagrangian multiplier method to a mixed boundary value problem

✍ Scribed by Richard L. Citerley

• Publisher: Elsevier Science
• Year: 1966
• Tongue: English
• Weight: 538 KB
• Volume: 281
• Category: Article
• ISSN: 0016-0032
• DOI: 10.1016/0016-0032(66)90229-8

✦ Synopsis

This paper illustrates how use of a Lawangian multiplier may satisfy exactly (nonholomonic) boundary conditions. By using the method presented thermoelastic investigations using complementary strain energy methods for bodies with traction free surfaces can be extended to those with mixed boundary conditions. For example, the stresses resulting from a uniform temperature change are determined in a semi-infinite slab, which is in the state of plane strain, where one lateral surface is held fixed. Previous attempts to solve the problem show that the complementary energy method does not necessarily satisfy the displacement boundary conditions. * This work was partially carried out at united Technology Corp. under Contract AF 04(611)-8018.