Asymptotic approximations to one-dimensional problems of quasistatic thermoelastic contact

✍ Scribed by Kevin T. Andrews; Meir Shillor

• Publisher: Elsevier Science
• Year: 1993
• Tongue: English
• Weight: 817 KB
• Volume: 17
• Category: Article
• ISSN: 0895-7177
• DOI: 10.1016/0895-7177(93)90016-r

✦ Synopsis

We compare solutions to coupled and uncoupled versions of three one-dimensional problems of quasistatic thermoelastic contact which model, respectively, the mechanical behaviour of one rod, of two rods and of a cylinder. We show that if a is a nondimensional parameter which is proportional to the coefficient of thermal expansion, then the difference between the temperatures is of order U(a) when the heat exchange is modeled by a coefficient k that depends on the gap size and the contact stress. The difference is O(a2) when /c is constant. The differences in the corresponding displacements are 0(a2) and O(a3), respectively. These results lend support to the usual practice in thermoelastic problems of neglecting the term corresponding to the work of internal forces in the heat equation.